The momentum of the system is -20 kg*m/s in the negative x-axis direction.
What is momentum?
Momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is equal to its mass multiplied by its velocity, or p = mv. The direction of the momentum is the same as the direction of the velocity.
The momentum of a system can be determined by summing the momenta of the individual objects in the system. The momentum of an object is equal to its mass multiplied by its velocity. The direction of the momentum is the same as the direction of the velocity.
For the first object, the momentum is:
p1 = mi * vi
p1 = 6 kg * 13 m/s
p1 = 78 kg*m/s (in positive x-axis direction)
For the second object, the momentum is:
p2 = mz * vz
p2 = 14 kg * -7 m/s
p2 = -98 kg*m/s (in negative x-axis direction)
To find the total momentum of the system, we add the momenta of the two objects:
p_total = p1 + p2
p_total = 78 kgm/s + (-98 kgm/s)
p_total = -20 kg*m/s (in negative x-axis direction)
So the momentum of the system is -20 kg*m/s in the negative x-axis direction.
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does kepler's law of equal areas imply that gravity varies inversely with the square of the distance
Kepler's law of equal areas imply that gravity varies inversely with the square of the distance. (false)
What is Kepler's law?Kepler's laws of planetary motion are rules in astronomy and classical physics that describe how the planets move within the solar system. They were mostly developed by the German astronomer Johannes Kepler.
Also whose analysis of the observations of the astronomer Tycho Brαhe from the 16th century allowed him to publish his first two law in 1609 and a third law nearly ten years later, in 1618. Kepler never assigned a number to these laws or made a special distinction between them and his other discoveries.
The conservation of orbital angular momentum L is a direct result of Kepler's law of equal areas.
That law is:
[tex]\dfrac{\mathrm{d}A}{\mathrm{d}t}=\dfrac{1}{2m}L[/tex]
where, dA is the area which is swept out by the radius [tex]\vec{r}[/tex] and is the object's mass m in a time dt.
Since L is conserved, the radius vector's sweep of area A over time t is unaffected by the distance from the central object (the sun).
The gravitational force, which is the primary force and is directed toward the object, causes L to remain constant.
None of these facts imply that gravity varies inversely with distance squared, so the given statement is false.
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a 15.0 g rubber bullet hits a wall with a speed of 145 m/s. if the bullet bounces straight back with a speed of 110 m/s, what is the change in momentum of the bullet?\
When a 15.0 g stray bullet traveling at 145 m/s strikes a wall, if it returns in a straight line at a speed of As a result, the as same is 4.93 N.
What do writing bullet mean?A line of the article is a literary device that is used to describe an item in some kind of a list. A centered dot (•), which is a common symbol for a bullet point, is just one of many other symbols and characters that can be employed in bulleted lists. Even numbers and/or letters can be used in some bulleted lists.
Calculation
We know that force F = dP/dt where dP/dt = rate of change of momentum and P = momentum = mv
Now, F = dP/dt = dmv/dt = vdm/dt + mdv/dt
Now since we have 5.6 g bullets, m = 5.6 g = 0.0056 kg, dm/dt = rate of change of mass of bullet hitting superman per second = mass of one bullet × rate of change of bullet = 0.0056 kg/bullet × 110 bullets/min = 0.0056 kg/bullet × 110 bullets/min × 1 min/60 s = 0.0103 kg/s, v = speed of bullet = 480 m/s and dv/dt = 0.
So, F = vdm/dt
= 0.01027 kg/s × 480 m/s
= 4.929 kgm/s²
= 4.929 N
≅ 4.93 N
So, the average force is 4.93 N
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Objects with masses of 141 kg and 494 kg are separated by 0.396 m. A 74.8 kg mass is placed midway between them.
1 ) Find the magnitude of the net gravitational force exerted by the two larger masses on the 74.8 kg mass.
The value of the universal gravitational constant is 6.672 × 10−11 N · m^2 /kg^2.
Answer in units of N.
2 ) Leaving the distance between the 141 kg and the 494 kg masses fixed, at what distance from the 494 kg mass (other than infinitely remote ones) does the 74.8 kg mass experience a net force of zero?
Answer in units of m.
( 1) The net gravitational force between the 74.8 kg mass is 8.09 x 10⁻⁵ N.
( 2) The distance from the from the 494 kg mass where the middle mass experiences net zero force is 0.258 m.
What is net gravitational force on the middle mass?
The net gravitational force acting on the middle mass is calculated by applying Newton's law of universal gravitation as shown below.
F = ( GmM ) / ( R² )
where;
G is universal gravitation constantm is the mass of the middle massM is the mass of the first massR is the distance of separation between the two massesThe force between the first mass and the middle mass is calculated as;
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( 0.198² )
F' = 1.8 x 10⁻⁵ N
The force between the third mass and the middle mass is calculated as;
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.198² )
F'' = 6.29 x 10⁻⁵ N
The net gravitational force on the middle mass;
F (net) = 6.29 x 10⁻⁵ N + 1.8 x 10⁻⁵ N
F ( net ) = 8.09 x 10⁻⁵ N
Let the distance of zero net force from the 141 kg mass = d.
then the distance from the 494 kg mass = 0.396 m - d
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( d² )
F' = 0.704 x 10⁻⁶ / d²
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.396 - d )²
F'' = 2.47 x 10⁻⁶ / ( 0.396 - d )²
for zero net force, the two forces must be equal
0.704 x 10⁻⁶ / d² = 2.47 x 10⁻⁶ / ( 0.396 - d )²
0.704 (0.396 - d )² = 2.47d²
(0.396 - d )² = ( 2.47d² ) / ( 0.704 )
(0.396 - d )² = 3.51d²
0.396 - d = √ ( 3.51d² )
0.396 - d = 1.87d
1.87d + d = 0.396
d (1.87 + 1) = 0.396
d (2.87) = 0.396
d = 0.396 / 2.87
d = 0.138 m
The distance from the 494 kg mass = 0.396 - 0.138 m = 0.258 m
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a stretched string has a wave speed v. if the string is replaced by another with half the linear mass density, by what factor will the speed of a wave on the string change?
The wave speed will increase by a factor of the square root of 2, or approximately 1.41.
What is linear mass density?A quantity of any characteristic value per unit of length is defined as having a linear density. Two frequently used examples in science and engineering are linear mass density (titer in textile engineering, the amount of mass per unit length) and linear charge density (the amount of electric charge per unit length).
The speed of a wave on a stretched string is directly proportional to the square root of the tension divided by the linear mass density of the string.
Therefore, if the string is replaced by another with half the linear mass density, the wave speed will increase by a factor of the square root of 2, or approximately 1.41.
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The factor of which the speed of a wave on the string change is square root of the tension divided by the mass per length, the linear density.
What does the wave speed in a stretched string look like?
v = μT, where T is the string's tension and μ is the mass of the string per unit length.
How does wave speed depend on linear density?The linear density of the rope a wave travels through determines its speed. The speed rises as the linear density decreases. The relationship states that the square root of linear density and speed are inversely related. Thus, a doubling or tripling of speed results from a quartering of the linear density.
Wavelength x Frequency = Speed.
Wave speed and wavelength are related by the wave speed equation (Speed = Wavelength x Frequency). The quantity of waves that move in a wave's frequency is measured in waves per second.
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a 225 n child sits 0.60 meters form the axis of rotation of a seesaw. another child weighing 300 n wants to sit on the opposite side of the seesaw to balance it. how far from the axis of rotation should the 300 n child sit? group of answer choices 0.50 m 0.30 m 0.45 m 0.40 m
She discovers she is going to be in balance when the middle of the board reaches 0.50 m to a outside of a fulcrum and she is m towards the left of something like the fulcrum.
What is an example of a fulcrum?The answer to the questions and What does fulcrum is straightforward: A lever's fulcrum is its fixed point. A seesaw, for instance, is a lever with a pivot in the centre. The fulcrum of a swing set is the stationary central component.
What does an engineering fulcrum mean?A lever's pivot point is known as the fulcrum. The lever is supported by the fulcrum. A feedback loop is an illustration of a lever The fulcrum of a seesaw is the bar it sits on. The pivot of the beam is thought to be the fulcrum. When effort is exerted to one side of the lever, a load is added to the other end.
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David throws a football into the air with an initial KE of 1000 J. Once the football reaches max height, the gravitational potential energy is 1.2 times the initial KE. What was the initial gravitational potential energy?
Group of answer choices
1000 J
200 J
0 J
2000 J
The initial potential gravitational energy will be 0 joules because the height will be zero.
What is kinetic and potential energy?Potential energy is the energy that is stored in any object of reffred to its height of the base of surface of earth. The object or system is unaffected by external factors like air or height. The power of moving particles within a system or an item is referred to as kinetic energy.
Does potential energy depend on mass?Potential energy is often represented by its height from surface. Height-dependent energy is known as gravitational potential energy. Weight determines the potential energy amount (mass times gravity).
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two cars come to a stop from the same initial speed, one braking gently and the other braking hard.
Which car converts more kinetic energy to internal energy (for example, thermal energy in the brakes)?
o the car that braked hard o the car that braked gently
o Cars convert an equal amount of kinetic energy.
o It's impossible to determine.
According to the law of conservation of energy, the car that apply hard brakes will convert more kinetic energy to thermal energy. Hence option 'a' is correct.
Describe kinetic energy.Kinetic energy is any energy that an object gains as a consequence of motion. To accelerate an object, some force must be supplied to it. For apply a force, we must put more effort. After work is completed, energy is transmitted to the object, which then moves at a constant speed.
How can kinetic energy be used?Running and pacing. When moving air strikes the blades of a windmill, it creates rotation, which ultimately results in the production of energy. When moving water's kinetic energy strikes a turbine at a hydroelectric facility, it is transformed into mechanical energy.
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____________ is the rate that an object moves in a certain direction. Question 11 options: speed displacement direction velocity.
Velocity is the rate that an object moves in a certain direction.
According to the dictionary, direction refers to how something moves, how to get somewhere in particular, how something is taking shape, or which way you are facing. Direction can be expressed using relative vocabulary, such as up, down, in, out, left, right, forward, backward, or sideways, which compares the location of one thing to another. Velocity is the directional speed of an item in movement as a measure of the rate that its location is changing as seen from a certain view point and as determined by a specific unit of time.
The entire displacement of the object divided by the total time elapsed gives the object's average velocity.
Velocity and speed both refer to how rapidly and in what direction an object moves. Speed in a certain direction is referred to as velocity in physics. It calculates the distance an object travels in a specific length of time. The definition of velocity is the distance that an object travels in one unit of time.
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Objects with masses of 141 kg and 494 kg are separated by 0.396 m. A 74.8 kg mass is placed midway between them.
1 ) Find the magnitude of the net gravitational force exerted by the two larger masses on the 74.8 kg mass.
The value of the universal gravitational constant is 6.672 × 10−11 N · m^2 /kg^2.
Answer in units of N.
2 ) Leaving the distance between the 141 kg and the 494 kg masses fixed, at what distance from the 494 kg mass (other than infinitely remote ones) does the 74.8 kg mass experience a net force of zero?
Answer in units of m.
( 1) The net gravitational force between the 74.8 kg mass is 8.09 x 10⁻⁵ N.
( 2) The distance from the from the 494 kg mass where the middle mass experiences net zero force is 0.258 m.
What is net gravitational force on the middle mass?The net gravitational force acting on the middle mass is calculated by applying Newton's law of universal gravitation as shown below.
F = ( GmM ) / ( R² )
where;
G is universal gravitation constantm is the mass of the middle massM is the mass of the first massR is the distance of separation between the two massesThe force between the first mass and the middle mass is calculated as;
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( 0.198² )
F' = 1.8 x 10⁻⁵ N
The force between the third mass and the middle mass is calculated as;
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.198² )
F'' = 6.29 x 10⁻⁵ N
The net gravitational force on the middle mass;
F (net) = 6.29 x 10⁻⁵ N + 1.8 x 10⁻⁵ N
F ( net ) = 8.09 x 10⁻⁵ N
Let the distance of zero net force from the 141 kg mass = d.
then the distance from the 494 kg mass = 0.396 m - d
F' = ( 6.672 x 10⁻¹¹ x 141 x 74.8 ) / ( d² )
F' = 0.704 x 10⁻⁶ / d²
F'' = ( 6.672 x 10⁻¹¹ x 494 x 74.8 ) / ( 0.396 - d )²
F'' = 2.47 x 10⁻⁶ / ( 0.396 - d )²
for zero net force, the two forces must be equal
0.704 x 10⁻⁶ / d² = 2.47 x 10⁻⁶ / ( 0.396 - d )²
0.704 (0.396 - d )² = 2.47d²
(0.396 - d )² = ( 2.47d² ) / ( 0.704 )
(0.396 - d )² = 3.51d²
0.396 - d = √ ( 3.51d² )
0.396 - d = 1.87d
1.87d + d = 0.396
d (1.87 + 1) = 0.396
d (2.87) = 0.396
d = 0.396 / 2.87
d = 0.138 m
The distance from the 494 kg mass = 0.396 - 0.138 m = 0.258 m
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calculate the energy in kj used by a 55.0-kg woman who does 50 deep knee bends in which her center of mass is lowered and raised 0.400 m. (she does work in both directions.) you may assume her efficiency is 20%
According to the question, 1.132887kcal energy used by a 55.0-kg woman who does 50 deep knee bends in which her center of mass is lowered and raised 0.400 m.
What is the easiest way to define energy?People have figured out how to transform energy from one format to the next and then use it to accomplish tasks, making modern civilization possible.
As we know that-
Mass = 55kg
Knee bend = 55
Efficiency = 20%
Displacement = 0.4m
We will first determine the total Workdone.
Work done = 2n(mgh)
n = 55,
m = 55kg,
g = 9.8m/s²
h = 0.4m
Work done = 2 ×55 × 55 × 9.8 × 0.4
Work done = 23,716J
Considering that the lady completes 20% of her work efficiently;
so,
her energy = 20% of 23,716J
= 4,743.2
= 4.74KJ
Energy = 1.132887kcal
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how does the speed of the rock when it reaches the ground vd compare to the speed of the rock when it is thrown upward vu?
The speed of the rock when it hits the ground vd is greater than the speed of the rock when it is thrown upward vu(vd>vu).
The rock will eventually reach its maximum height above the ground if thrown upward. It will fall back to the ground at the same vertical height at which it was thrown at a speed of 15 m/s. The rock's speed will increase above its initial speed of 15m/s as it continues to fall 100m below its initial vertical position.
Velocity is the rate of change in the position of an object in motion as measured by a specific time standard (e.g., 60 km/h northbound). Velocity is a key concept in kinematics, the branch of classical mechanics that studies body motion.
Velocity is a physical vector quantity that must be defined by both magnitude and direction. Speed is a coherently derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or ms1). For example, "5 m/s" is a scalar, whereas "5 m/s east" is a vector.
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Fighter pilots report that immediately after a burst of gunfire fron their jet fighter, the speed of their aircraft decrease from 265 to 250 km per h. using newton's second and third law to explain the reason for this change in motion
The speed of the aircraft would decrease as force is exerted on it.
What is the Newton second law?
We know that according to the Newton second law, the rate of change of the momentum of the body is directly proportional to the impressed force.
Given that there was a burst of gunfire from their jet fighter, the speed of their aircraft decrease from 265 to 250 km per h, we can see that there was a decrease in the velocity because of the force that has been exerted on the jet by the fire of the bullet.
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Anna holds a 11 D magnifier directly in front of her eye to get a close look at a 19-mm -diameter penny. Assume a typical 25 cmnear point and a distance of 1.7 cm between the lens and the retina.
Part A:
What is the closest possible distance that she can hold the coin to have it appear in focus?
Express your answer with the appropriate units.
Part B:
At this distance, how large does the image of the coin appear on her retina?
Express your answer with the appropriate units.
The distances are mentioned below.
What is distance?
Distance refers to the measure of the separation between two points in space. The distance between two points can be determined using mathematical formulas, such as the distance formula in Euclidean space or the great-circle distance formula in a curved space. Distance can also be thought of as a scalar quantity, meaning it has only a magnitude and no direction.
Part A:
To find the closest distance that the coin can be held and still be in focus, we can use the lens equation 1/f = 1/d_o + 1/d_i where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance.
We know that f = 11 D and d_i = 1.7 cm
Therefore,
1/f = 1/d_o + 1/d_i
1/11D = 1/d_o + 1/(1.7cm)
Solving for d_o,
d_o = 1/(1/11D - 1/(1.7cm))
The closest possible distance that Anna can hold the coin to have it appear in focus is d_o. The unit will be in cm.
Part B:
The size of the image that the lens forms on the retina is determined by the lens equation:
1/f = 1/d_o - 1/d_i
where f is the focal length of the lens, d_o is the distance from the lens to the object, and d_i is the distance from the lens to the image.
We know that f = 11 D and d_o = closest possible distance found in Part A.
Therefore,
1/d_i = 1/f - 1/d_o
Solving for d_i, the distance from the lens to the image, will give us the size of the image of the coin on Anna's retina. The unit will be in cm.
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Are you L-O-S-T after Reflection?
a student missed a lab investigating the behavior of multiple capacitors in circuits. classmates gave the student the above data that show the charge on the equivalent capacitance in a circuit as additional identical capacitors are added to the circuit, but the classmates did not indicate whether the capacitors were added in series or parallel. what evidence from the data can be used to determine whether the capacitors were added in series or parallel?
The fact that the charge rises as the number of capacitors is increased is proof. Option B is right, so.
Can the addition of the capacitors in series or parallel be determined using evidence from the data?
A student didn't show up for a lab looking at how numerous capacitors behave in circuits. Students in the class supplied the student the information above, which illustrates the effect of adding more identical capacitors to a circuit on its equivalent capacitance, but they did not specify if the capacitors were increased.
Can it be determined whether the capacitors was added in parallel or series using evidence from the data?
A. As capacitors are added, the charge changes.
B. With each subsequent capacitor, the charge doubles.
C. As capacitors are added, the charge grows.
D. There is no evidence in the data to support how the capacitor were added.
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what is the tension in the chain (for the same angle)
The tension in the chain for the same angle is 533.37 N.
What is he speed of each seat?The speed of each seat is determined by treating the system as a simple harmonic motion.
Apply the law of conservation of mechanical energy as shown below.
kinetic energy of each seat at the bottom = potential energy of each seat at the top
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the vertical displacement of the childreng is acceleration due to gravityThe vertical displacement of the seats is calculated from the length of the chain as follows;
h = L cos (24.4)
The speed of each seat is calculated as follows;
v = √ ( 2g L cos (24.4) )
v = √ ( 2 x 9.8 x 2.54cos (24.4) )
v = 6.73 m/s
The tension in the chain is calculated by applying the formula for centripetal force as follows;
T = mv²/r
where;
m is the total mass suspended by the chain = 10 kg + 63.6 kg = 73.6 kgv is the speed of each seat = 6.73 m/sr is the radius of the platform = (12.5 m) / (2) = 6.25 mT = ( 73.6 x 6.73² ) / ( 6.25 )
T = 533.37 N
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The complete question is below:
An amusement park ride consists of a rotating circular platform 12.5 m in diameter from which 10 kg seats are suspended at the end of 2.54 m massless chains. When the system rotates, the chains make an angle of 24.4° with the vertical. The acceleration of gravity is 9.8 m/s^2..
If a child of mass 63.6 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.
A car starts from an initial velocity of 10 m/s and accelerates at 2.5 m/s^2. How long will it take the car to reach a speed of 40 m/s? How far does the car travel during this time?
Answer:
300 km
Explanation:
Vi 10m/s
Vf = 40m/s
a= 2.5 m/s^2
Vf^2 - Vi^2 = 2as
S = (40^2 -10^2)/(2*2.5) = 300 Km
Two flying fish have an inelastic collision while in mid-flight. one fish has a mass of 0.650 kg and a velocity of 15.0 m/s to the right; the other has a mass of 0.950 kg and a velocity of 13.5 m/s to the left. find the change in their kinetic energy after the collision.
The change in kinetic energy = 212.50 J - 197.458 J = 15.042 J.
What is kinetic energy?Kinetic energy is the energy possessed by an object due to its motion. It is the energy that an object has because of its motion. Kinetic energy is the energy of motion and is equal to one half of the mass of the object times the square of its velocity. Kinetic energy can be converted into other forms of energy, such as electrical, thermal, or chemical energy.
The kinetic energy of the two fish before the collision can be calculated by using the equation K = 1/2mv^2. For the first fish, K = 1/2 (0.650 kg)(15.0 m/s)^2 = 113.125 J. For the second fish, K = 1/2 (0.950 kg)(13.5 m/s)^2 = 99.375 J.
The total kinetic energy of the two fish before the collision is 212.50 J.
To calculate the change in kinetic energy, we first need to calculate the velocity of the two fish after the collision. To do this, we can use the equation for the conservation of momentum for an inelastic collision, p = m1v1 + m2v2. We know the masses and initial velocities, so solving for the final velocities, we get:
For the first fish, v1 = (0.950 kg)(13.5 m/s) + (0.650 kg)(15.0 m/s) / (0.650 kg + 0.950 kg) = 14.3 m/s.
For the second fish, v2 = (0.650 kg)(15.0 m/s) + (0.950 kg)(13.5 m/s) / (0.650 kg + 0.950 kg) = 13.2 m/s.
Now that we have the final velocities of the two fish, we can calculate the change in kinetic energy by plugging the final velocities into the equation K = 1/2mv^2.
For the first fish, K = 1/2 (0.650 kg)(14.3 m/s)^2 = 105.938 J.
For the second fish, K = 1/2 (0.950 kg)(13.2 m/s)^2 = 91.520 J.
The total kinetic energy of the two fish after the collision is 197.458 J.
Therefore, the change in kinetic energy = 212.50 J - 197.458 J = 15.042 J.
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a truck is accelerating as it speedsdown the highway. one inertial frame of reference is attachedto the ground with its origin at a fence post. a second frameof reference is attached to a police car that is traveling down thehighway at constant velocity. is the momentum of the truckthe same in these two reference frames? explain. is therate of change of the truck's momentum the same in these twoframes? explain.
In the first frame of reference, attached to the ground with its origin at a fence post, the momentum of the truck is given by the product of its mass and velocity.
As the truck is accelerating, its velocity is changing and therefore its momentum is also changing. The rate of change of the truck's momentum in this frame is equal to the force acting on the truck.
In the second frame of reference, attached to the police car that is traveling at a constant velocity, the truck is moving at a relative velocity with respect to the police car.
The momentum of the truck in this frame is still given by the product of its mass and velocity, but now the velocity is relative to the police car. The momentum of the truck will be different in this frame of reference.
The rate of change of the truck's momentum is not the same in these two frames. In the first frame, the rate of change of momentum is equal to the force acting on the truck.
However, in the second frame, the truck is moving with a constant velocity relative to the police car, so the rate of change of momentum is zero.
In summary, in the first frame of reference attached to the ground, the truck is accelerating and its momentum is changing, while in the second frame of reference attached to the police car, the truck is moving at a constant velocity relative to the police car, so its momentum is different but the rate of change of momentum is zero.
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(review) Neatly write out all of the Energy-Interaction diagrams, with the accompanying temperature vs. energy added diagrams, requested in the DL Activity 1.3. Remember that complete Energy- Interaction diagrams always include algebraic expressions of energy conservation. Refer to the Energy-Interaction Model foldout.
Energy-interaction diagrams, also known as energy level diagrams, are graphical representations of the possible energy states of a system and the transitions between them. They are used to describe the behaviour of a system in terms of its energy levels and the interactions that cause transitions between them.
What are two types of interaction diagrams?There are two types of interaction diagrams- a sequence diagram and the other is a collaboration diagram.
What are the stages of interaction?There are stages of relational interaction in which relationships come together (initiating, experimenting, intensifying, integrating, and bonding) and come apart (differentiating, circumscribing, stagnating, avoiding, and terminating).
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the average power output of the human heart is 1.33 w . how much energy does the heart produce in a day?
The energy produced by the heart in a day when the power output of the heart is given is calculated to be 1.15 × 10⁵ J.
Given that,
Power output of human heart = 1.33 W
Time in one day = 24 hours = 24×60 min = 24×60×60 s = 86400 s
Energy produced by heart in a day = ?
The expression for energy, power and time is given as, E = P t
where, P is power
t is time
E is energy
The energy it produces is equal to the power output times the time the heart does work.
E = P t = 1.33 × 86400 = 1.14912 × 10⁵ J ≈ 1.15 × 10⁵ J
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A force of 6.36 N acts on a(n) 4.9 kg object for 20.4 s. What is the objects change in momentum?
What is the change in velocity?
WU
Change in the momentum of the object with mass 4.9 kg on which force of 6.36 N acts for 20.4 s is 31.164kgm/s and change in velocity is 6.36m/s
As we know Force acting on any object is
F = m.a...........(1)
where m ⇒ mass
and a ⇒ acceleration
Also [tex]a=\frac{v}{t}[/tex]..........(2)
where v ⇒ velocity
t ⇒ time
so equation (1) can be written as:
[tex]F=\frac{m.v}{t}[/tex]..........(3)
Change in Momentum is equal to
p=m.v.......(4)
where m ⇒ mass
v ⇒ velocity
Now as per the question:
Force, F = 6.36 N
Mass, m = 4.9 kg
Time, t = 20.4s
putting the values in equation (3),
we get [tex]6.36=\frac{4.9*v}{20.4}[/tex]
by solving this we get a value of v=6.36m/s
putting the values in equation (4)
we get, Change in momentum
[tex]p=4.9*6.36\\p=31.164kg m/s[/tex]
so the change in velocity is 6.36m/s and change in momentum is 31.164kgm/s
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If the KE and PE is 750,000J and 500,000J respectively, how much energy has been dissipated?
The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.
What is Total energy?We use the (joking) example of trying to roast a turkey using potential energy to help us develop an intuitive understanding of the relative magnitudes of the various kinds of energy.
A 100 m building (about 30 floors) is used, and the turkey is carried to the top before being thrown from the edge. Thus, the potential energy is transformed into kinetic energy, which is then transformed into internal energy upon collision.
A rise in temperature is a representation of an increase in internal energy, and if this experiment is carried out frequently enough, the turkey should be able to cook as a result.
Therefore, The total energy will be 125,000 J. The total energy is sum of kinetic energy and potential energy.
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the circuit conductors between the final overcurrent device protecting the circuit and the outlet(s) best defines a ? .
The circuit operators between the final overcurrent device guarding the circuit and the outlet(s) neat defines a branch circuit.
What are conductors?In physics and electrical engineering, a conductor is an object or type of material that allows the inflow of charge (electric current) in one or further directions. Materials made of metal are common electrical operators. Electric current is generated by the inflow of negatively charged electrons, positively charged holes, and positive or negative ions in some cases.
A branch circuit is an electrical circuit that starts at a main service panel or load center and extends to one or more electrical outlets, devices, or appliances. The final overcurrent device, such as a circuit breaker or fuse, is used to protect the circuit from excessive current and to disconnect the power in case of an overload or short circuit. The conductors that run between this device and the outlet(s) are referred to as branch circuit conductors.
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A stadiuk is filled with 15,811 home-team fans. the home team won all 15,811 fans stand and cheer. assume that each individual fan produces a sound intensity of 10^-5 w/m^2, as heard feom the ground.
what is the total sound intensity level heard on the ground? (in terms of db)
β = 1131 db is the total sound intensity level heard on the ground (in terms of db).
Total intensity heard at the pitching mound is,
I=15811×1.0×10⁻⁵ W/m²
I=15811×10⁻⁵ W/m²
I=15811×10⁻⁵ W/m²
Total intensity heard at the pitching mound is,
β= 10log(I/I₀)
β= 101og(15811×10⁻⁵ W/m² / 1.0×10⁻¹²)
β=1131 db
β = 1131 db
The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre (W/m2) is the SI unit of intensity, which also covers sound intensity.
The power carried by sound waves per unit area in a direction perpendicular to that region is described as sound intensity, also known as acoustic intensity. The watt per square metre (W/m2) is the SI unit of intensity, which includes sound intensity.
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calculate the impulse expeirenced when a 70kg person lands on firm ground after jumping from a height of 3.0 m
We know that the work-energy theorem states that the change in energy (in this case, kinetic energy) is equal to the work done on a system.
what is energy ?
Energy is the capacity to do work. It exists in many forms, such as kinetic, potential, thermal, electrical, chemical, nuclear, and mechanical energy. Kinetic energy is energy that is in motion, such as a moving car or the wind. Potential energy is energy that is stored, such as the energy stored in a stretched rubber band or a raised weight.
Thermal energy is the energy of moving molecules, such as the energy in hot water or in the air. Electrical energy is energy associated with the movement of electrons. Chemical energy is the energy stored in the bonds of atoms and molecules. Nuclear energy is energy stored in the nucleus of an atom. Mechanical energy is energy associated with the motion and position of an object.
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Determine the values of a and k when 0.51 is written in scientific notation.
According to the question ,On writing 0.51 in scientific notation , the value of a is 5.1 and value of k is -1 .
What does a scientific notation in science mean?When a number outside 1 and 10 is scaled by a power of 10, the result is represented in scientific notation.
the benefits of scientific notationSimply put, scientific notation is a means to write numbers. Due to its lower length, increased efficiency, and straightforward magnitude indication, it is particularly helpful when expressing extremely big or extremely small quantities. A decimal portion multiplied by an integer number of ten can be used to represent any real number.
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A 2.0 kg block on a horizontal surface is being pushed to the right with 20.0 N of force It is moving at a constant velocity How much does the block weigh?
The weight of the block on the horizontal surface will be 20N.
It is given that the force applied on the block is being pushed by applying a force of 20N, also the force is in such a manner that the block is moving with constant speed.
Now, we know, the weight of the body is equal to the product of the acceleration due to gravity and the mass of the body.
Now, we know,
W = Mg
Where,
M is mass and g is gravitational acceleration.
Putting values,
W = 2 x 10
W = 20N.
So, the weight of the block is 20N.
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Find the scalar x- and y-components of the following displacements in the xy plane (a)300cm at 127⁰ and (b) 500cm at 220⁰
(a) The scalar x- and y-components of the displacement 300cm at 127⁰ are 259.9cm and 150.8cm respectively.
(b) The scalar x- and y-components of the displacement 500cm at 220⁰ are -400cm and -309.3cm respectively.
Displacement is a physical concept referring to the distance an object moves in a certain direction. It is a vector quantity, meaning it has both magnitude and direction. Displacement is not the same as distance, as distance is the total length traveled, while displacement is the change in position. Displacement can be measured in any unit of length, such as meters, feet, or kilometers.
(a) The scalar x-component of the displacement is 257.7 cm and the scalar y-component of the displacement is 213.3 cm.
(b) The scalar x-component of the displacement is -403.3 cm and the scalar y-component of the displacement is -281.3 cm.
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The scalar x- and y-components of the following displacements in the xy plane (a)300cm at 127⁰ is -202.46 cm and -236.98 cm respectively, (b) 500cm at 220⁰ is -417.51 cm and -132.96 cm respectively.
What do you mean by displacement?It is the difference between the initial and final position of an object and is usually measured in meters or other units of length. It can be calculated by subtracting the initial position vector from the final position vector. In physics, displacement is often used to describe the motion of an object in one dimension, such as along a straight line.
To find the scalar x- and y-components of a displacement in the xy plane, we can use trigonometry. The x-component of the displacement is given by:
x = r * cos(θ)
where r is the magnitude of the displacement and θ is the angle the displacement makes with the x-axis (measured in radians). The y-component of the displacement is given by:
y = r * sin(θ)
where r is the magnitude of the displacement and θ is the angle the displacement makes with the y-axis (measured in radians).
(a) For a displacement of 300 cm at an angle of 127°:
x = r * cos(θ) = 300 cm * cos(127°) = -202.46 cm
y = r * sin(θ) = 300 cm * sin(127°) = -236.98 cm
(b) For a displacement of 500 cm at an angle of 220°:
x = r * cos(θ) = 500 cm * cos(220°) = -417.51 cm
y = r * sin(θ) = 500 cm * sin(220°) = -132.96 cm
Note that in the above examples, the angles are converted from degrees to radians before using them in the trigonometric functions.
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what is the charge (in nc) on a 1.00-cm-long segment of the wire?
The charge stored in a 1.00-cm-long segment of the wire is 5.6 x 10^6 x 1.00 cm, or 5.6 nC.
What is charge?Charge is an electrical property of matter that either attracts or repels other objects with an electrical charge. This property is due to the presence of electrons, protons and neutrons, which all have different charges. The force of attraction or repulsion between two objects with a charge is known as the Coulomb force. The charge of an object is measured in Coulombs, which is a unit of electric charge.
The charge (in nC) on a 1.00-cm-long segment of the wire depends on the type of wire and the amount of charge stored in it. If the wire is an insulated copper wire, then the charge stored in it is determined by the number of electrons per unit length of the wire. The charge stored in a 1.00-cm-long segment of wire can be calculated by multiplying the number of electrons per unit length of the wire by the length of the wire itself, which is 1.00 cm. For example, if the wire has 5.6 x 10^6 electrons per centimeter, then the charge stored in a 1.00-cm-long segment of the wire is 5.6 x 10^6 x 1.00 cm, or 5.6 nC.
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