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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Materials: Calculator
1. In the table below, you are given the height from which various objects fell and the time it took for those objects to fall on
Earth, the moon, and Mars. Use the data to calculate the acceleration due to gravitational force at each location.
Distance (m)
Time (s)
Acceleration due to gravity (m/s²)
Average g value for the location (m/s²)
Earth
2.25
0.680
3.08
0.793
Moon
Mars
4.04
4.57
4.68 3.55
2.20 2.26 1.58
1.38
2. What to submit:
a. Your completed table with calculations for acceleration due to gravitational force and the average value.
b. All work shown for your calculations.
Answer:
3.08
Explanation:
____________ 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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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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Help needed!
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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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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what is accretion?group of answer choiceslayering by density with lightest material on top and dense material on bottomthe clumping of small particles into larger masseslarge diffuse cloud pf dust and gas within galaxiesa theory that describes when the universe began
signifies a development or size increase caused by a slow process of external addition and accumulation. The term "accretion" refers to the process in astrophysics and planet physics whereby a celestial object gains mass through the gravitational accumulation of smaller celestial objects and surrounding gas.
What does accretion simple mean?The steady growth in size of an item caused by the accumulation of materials due to gravity is known as accretion. In those other words, as tiny amounts of matter are drawn to an object by gravity and adhere to it, the object will become larger and larger.
Accrual is what kind of force?Gravitational forces acting on material of all sizes and compositions, including gas, dust, plasma, and even dark matter, inevitably lead to accretion. Matter accretes because of gravity. Additionally, as matter gathers, it creates objects.
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What is the impulse of an object of mass 2kg moving with 10m/s for 10 Seconds starting form rest? a) 20kgm/s b) 10kgm/s c) 5kgm/s d) 2kgm/s
Answer:
20
Explanation
f=Kgm/s
2multiply by 10=20
Give brainliest
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 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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Patients with heart disease and high blood pressure are often placed on a salt-free diet. They are instructed that they may use a salt substitute to season their food. A common salt substitute is potassium chloride (KCI). Its chemical formula is very similar to that of everyday table salt, sodium chloride (NaCI). Based on your knowledge of the periodic table, explain why potassium chloride probably has properties similar to those of sodium chloride. Check all that apply
A) Potassium and sodium both belong to Group 1.
B) They belong to different group
C) They have the same number of electrons on the outer energy level
D) They have a different number of outer energy level electron
E) They form similar compounds with other elements.
PLEASE BE ACCURATE!!!!THANK YOU!!:)
Answer: A, C, E
Explanation:
Potassium and sodium both belong to Group 1. They have the same number of valence electrons. Therefore, they form similar compounds with other elements.
(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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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.
Calculate the potential energy of a kg 93 person standing on a bridge 4. 2 meters off the ground ?
The potential energy of the 93 kg person standing 4.2 meters off the ground is 3733.6 Joules.
What do you mean by potential energy?Potential energy is the power that an object can store due to its position in relation to other objects, internal stresses, electric charge, or other circumstances.
To calculate the potential energy of a 93 kg person standing on a bridge 4.2 meters off the ground, we can use the formula for gravitational potential energy:
PE = mgh
Where PE is potential energy, m is the mass of the person, g is the acceleration due to gravity, and h is the height above the ground.
The acceleration due to gravity is approximately 9.8 m/s² on earth surface.
So, the potential energy of the person is:
PE = (93 kg) * (9.8 m/s²) * (4.2 m)
PE = 3733.6 J.
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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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A system consists of two particles moving as shown of masses m1 and m2 and speeds v1 and v2.
What expression gives the total momentum of the system?
Answer:
Explanation: The expression would be
M1V1 = M2V2
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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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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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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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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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
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 space shuttle is in orbit about the earth at an altitude where the acceleration due to gravity is 8.70 m/s2. what is the shuttle's speed at this altitude?
The speed of the space shuttle is in orbit about the earth at an altitude is calculated to be 7.68 × 10³ m/s.
Given that,
Satellite's centripetal acceleration a = 8.7 m/s²
Mass of the Earth M = 5.98 × 10²⁴ kg
Gravitational constant G = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²
R is radius of satellite's orbit
v be satellite's velocity
The satellite's centripetal acceleration a = v²/R must be equated to gravitational acceleration GM/R²
v²/R = GM/R²
v² = GM/R
R = GM/ v²
v² = GM/ (v²/a)
v = (GM a)^ 1/4
Putting in the values, we have,
v = (6.67 × 10⁻¹¹ × 5.98 × 10²⁴ × 8.7)^ 1/4 = 7.68 × 10³ m/s
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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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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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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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A boat owner pulls her boat into the dock shown, where there are six bollards to which to tie the boat. She has three ropes. She can tie the boat from the boat's center (A) to any of the bollards (B through G) along the dotted arrows shown.
Suppose the owner has tied three ropes: one rope runs to A from B, another to A from D, and a final rope from A to F. The ropes are tied such that FAB=FAD
What is the magnitude of the force provided by the third rope, in terms of θ?
Force along the third rope is 2F rmABcostheta in magnitude. Newton's second rule of motion is a necessary topic to understand in order to answer this question.
What in physics is a magnitude?In terms of physics, magnitude is just "distance or quantity." In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. In physics, the term "magnitude" often refers to a size or amount.
What are size and orientation?How much and which way are answered by the magnitude and direction respectively. As an illustration, the magnitude 5 meters and the direction North. A vector quantity with both magnitude and direction is 5 meters north.
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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 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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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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