As the radius grows, the angular acceleration decreases. For there to be no slippage, the coefficient of static friction must be larger than or equal to (1/3)tan.
When an object is in static friction, the frictional force opposes the application of force, and the object stays at rest until the static friction force is removed. In kinetic friction, the frictional force opposes the motion of an item. On the other hand, static friction happens when two surfaces are at rest with respect to one another. Between zero and the force needed to start motion, static friction varies. The force needed to start a motion or displace static friction keeps getting stronger. Physicists use the newton, an International System (SI) unit, to measure force.
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Consider a runner in lane 1 with a speed v1 and a runner in lane 4 with a speed v4, where the ratio of the speeds v4/v1 is 2. The radius of lane 4 is b times the radius of lane 1, and both runners have the same mass. Which of the following claims is correct about the net forces F1 and F4 exerted on the runners in lanes 1 and 4, respectively
The net force F4 exerted on the runner in lane 4 will be 2 times the net force F1 exerted on the runner in lane 1.
What is newton's second law?
Newton's second law states that the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
This claim is correct because Newton's Second Law states that the net force on an object is equal to the mass times the acceleration of the object.
Therefore, since the runners have the same mass, the acceleration of the runner in lane 4 must be twice that of the runner in lane 1 to account for the difference in speed.
Since acceleration is directly proportional to the net force on an object, this implies that the net force F4 exerted on the runner in lane 4 is twice the net force F1 exerted on the runner in lane 1.
Therefore, The net force F4 exerted on the runner in lane 4 will be 2 times the net force F1 exerted on the runner in lane 1.
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1. suppose that you have two boxes one is 20 cm x 20 x 20 cm. the other is 20cm x 20 cm x 40 cm.
a.) how does the pressure of the air on the outside of the two boxes compare?
b.) how does the magnitude of the total force of the air on two boxes compare?
2. in a certain internal combustion engine 0.0021 m^3 of the air at atmospheric pressure and 303 k is rapidly compressed to a pressure of 20.1 x 10^5 pa and volume of 0.0003 m^3 what is the final temperature of the compressed gas?
3.) a tank truck takes a load of 45,725 l of gasoline in houstin where temp is 28.0 c the truck delivers its load in minneapolis where the temp is -12.0c
a.) how many liters of gas does the truck deliver
b.) what happened to the gas?
please help me answer one of these or all if you can its due tmro thank you so much
The pressure will be the same if each of these boxes have the same elevation. On the second box, the air's overall force will be greater.
Although I'm sure some academics would be furious about this, it helps me to conceive of air as water. However, as air is a considerably lighter fluid than water, this replacement is acceptable. Because there is the same quantity of water on each submarine, the pressures will be the same if there are two of them at the ocean's bottom. But a larger sub will be subjected to more force, which increases the likelihood of it bowing. I would take into consideration the units of pressure and force per unit area as the force idea is difficult to express.
Since we are aware that pressure is constant, we may set them equal by using the formulas P1=P2 and P1=F1/A1 and P2=F2/2(A1).
F1/A1=F2/2A1
It is evident that F2=2F1.
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if you wish to reduce the stress (which is related to centripetal force) on high-speed tires, would you use large- or smalldiameter tires? explain.
You wish to reduce the stress of some vehicle that should move at some velocity v, and as want to know what tires would be better (i.e., have less centripetal force). we can write the centripetal force as)
= F = m* v^2 / r
This gives the force on a point mass m moving in a circle with radius r with the velocity v. randomly the (absolute value of the) velocity of the point throughout the circle is the similar as the velocity of your vehicle.
Hence, if you decide to hold the speed constant and reduce the centripetal force, this says you to expand the diameter of the tires.
Now what about the second equation:
F = m* r* w^2
F, m and r are the similar as above, but w (even the small Greek letter omega) is the angular velocity. It says you how much time it needs for the wheel to turn by a definite angle.
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potential energy and a roller coaster. a 1000-kg roller coaster car moves from point a to b then c. (a) what is the potential energy at b and c relative to a?
where y represents how far below point A in the vertical plane point B is. We determined that this distance's magnitude was 26.5m in portion (a). It is a negative number now that it is less than the zero reference level.
Describe potential energy.Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has far more potential energy when it is raised above the surface of the earth than when it is brought to Earth.
Simple definition of potential energyWhat does potential energy mean? Potential energy is the energy that is conserved or stored in a substance or an item. The object or substance's position, organization, or state determines the amount of stored energy. Consider it as energy with the "potential" to do work.
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a hollow rectangular box is filled with a liquid and can be placed in any of the three orientations shown above. in which orientation will the fluid pressure at the bottom of the box be greatest, and why?
The fluid pressure at the bottom of the box is determined by the weight of the fluid above it, which is determined by the height of the fluid column.
When the box is oriented with the shortest side at the bottom, the height of the fluid column is at its maximum, and thus the weight of the fluid above the bottom of the box is at its maximum.
This results in the greatest force being exerted on the bottom of the box, and thus the greatest fluid pressure at the bottom.
When the box is oriented with the taller side at the bottom, the height of the fluid column is shorter, resulting in less weight of the fluid above the bottom of the box, and thus less force being exerted on the bottom of the box and less fluid pressure at the bottom.
It's also important to note that the weight of the fluid is directly proportional to the volume of fluid which means the pressure at the bottom will also be greatest when the volume of fluid is at its maximum, which is when the box is oriented with the shortest side at the bottom.
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Question is attached. Show Workings.
a) The time of revolution is 97.57 minute.
b) The acceleration of gravity at the orbit is 8.10 m/s².
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Orbital speed of the satellite is = 425 km/min.
a) The time of revolution = perimeter of the orbit ÷ orbital speed of the satellite
= 2π × 6600 km/425 km/min
= 97.57 minute.
b) The acceleration of gravity at the orbit is = g (R/r)²
= 9.8 × (6000/6600)² m/s²
= 8.10 m/s²
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A staple gun has a mass of about 0.910 kg. A staple is usually too small to measure with classroom scales, but if you put 210 staples on the balance, it reads 6.80 grams. A staple gun is at rest and fires off a staple to the right, which is considered to be the positive direction. Let’s say the staple travels at 1.23 m/s after being fired.
1a. Find the recoil velocity on the staple gun after firing the staple.
1b. Why is the recoil velocity so small?
Answer: 1a. To find the recoil velocity on the staple gun after firing the staple, we need to use the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant if no external forces act upon it.
The momentum of an object is given by the formula p = mv, where m is the mass and v is the velocity of the object.
Let's assume the mass of the staple is m_s and the velocity of the staple after being fired is v_s. The mass of the staple gun is m_g and the velocity of the staple gun after firing the staple is v_g.
According to the principle of conservation of momentum, the initial momentum of the system (before firing the staple) is zero, and the final momentum of the system (after firing the staple) is:
m_s * v_s + m_g * v_g = 0
We know the mass of the staple gun is 0.910 kg, the mass of staple is 6.8g, velocity of the staple is 1.23 m/s. So we can calculate the recoil velocity on the staple gun after firing the staple by solving the above equation:
(m_s * v_s) + (m_g * v_g) = 0
(6.8 * 10^-3 kg * 1.23 m/s) + (0.910 kg * v_g) = 0
v_g = -(6.8 * 10^-3 kg * 1.23 m/s) / 0.910 kg = -0.0075 m/s
The recoil velocity on the staple gun after firing the staple is -0.0075 m/s (negative sign indicates that the recoil velocity is in the opposite direction of the staple)
1b. The recoil velocity is so small because the mass of the staple is much smaller than the mass of the staple gun. Therefore, the staple gun will only experience a small recoil velocity due to the firing of the staple. This is because the principle of conservation of momentum states that the momentum of an object is directly proportional to its mass and velocity. In this case, the velocity of the staple is much larger than the velocity of the staple gun, but the mass of the staple is much smaller than the mass of the staple gun, which results in a small recoil velocity.
make a claim as to whether momentum is conserved or not conserved. identify the evidence that provides support for your claim; refer to specific sets of values in each data table that serve as credible evidence. write a paragraph or more of sound reasoning to argue why the evidence logically leads to the claim you are making. write well. write logically. write thoroughly. use a separate page of paper if necessary.
A system must meet two requirements for its momentum to be conserved: The mass of the system must remain constant during the interaction.
What is momentum?
The momentum of any set of particles is equal to the vector sum of the individual momentums. According to Newton's third law, particles exert equal and opposite forces on each other, so any change in momentum of one particle is exactly balanced by an equal and opposite change in momentum of another particle. Thus, in the absence of an external force acting on a collection of particles, their total momentum never changes; this is the meaning of the law of conservation of momentum.To know more about momentum, click the link given below:
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on mars, a rover measures an average atmospheric pressure at the surface of 0.62 kpa. if we assume that the radius of mars is 3396.2 km and the acceleration of gravity is 3.71 m/s2, then what is the mass of the martian atmosphere?
The mass of the Martian atmosphere is approximately 1.04*10^15 kg. This means that the Martian atmosphere has a mass of around 1.04 trillion kilograms.
What does Mars' atmosphere entail?The data from SAM corroborated the composition of the atmosphere on Mars' surface: 95% by volume of carbon dioxide (CO2), 2.6% of molecular nitrogen (N2), 1.9% of argon (Ar), 0.16% of molecular oxygen (O2), and 0.06% of carbon monoxide (CO).
How can we determined this?The mass of the Martian atmosphere can be calculated using the Ideal Gas Law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
To calculate the mass of the atmosphere, we can assume that the temperature is constant and that the atmosphere is at sea level, so we can approximate the volume as the volume of a sphere with a radius of 3396.2 km. The volume of a sphere is 4/3πr^3.
The number of moles can be calculated from the pressure and the volume using the Ideal Gas Law: n = PV/RT.
Once we have the number of moles, we can use the molar mass of the atmosphere to find the mass of the atmosphere.
The calculation for the mass of the Martian atmosphere is as follows:
mass = (4/3)π(3396.210^3)^30.62/(8.314*(273+(-20)))
mass = 1.04*10^15 kg approximately
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3500W of power is applied to lift a computer up 1 meter from the ground and place it on a table. It takes 3 seconds to lift the computer. Calculate its weight in Newtons
Answer:
[tex]10500\; {\rm N}[/tex], assuming that the motion is at constant speed.
Explanation:
To find the work that was done, multiply power by time:
[tex]\begin{aligned}(\text{work}) &= (\text{power})\, (\text{time}) \\ &= (3500\; {\rm W}) \, (3\; {\rm s}) \\ &= 10500\; {\rm J}\end{aligned}[/tex].
Assume that the computer was lifted at a constant speed. The force that lifted the computer would be constant and equal to opposite of the weight of the computer.
Since force is constant, divide work by displacement to find this force:
[tex]\begin{aligned}(\text{force}) &= \frac{(\text{work})}{(\text{displacement})} \\ &= \frac{10500\; {\rm J}}{1\; {\rm m}} = 10500\; {\rm N}\end{aligned}[/tex].
In other words, the magnitude of the force that lifted the computer is [tex]10500\; {\rm N}[/tex]. Under the assumption that the computer was lifted at constant velocity, the weight of the computer would have the same magnitude, [tex]10500\; {\rm N}\![/tex].
Various amounts of positive and negative charge are moved from one point to another. Assuming that the potential at each of the points is kept constant at its labeled value, determine the net change in the electric potential energy of each listed quantity of charge as it is moved along the path indicated
Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy
= Charge x (Potential of Last Area - Potential of beginning location)
What is potential energy?
Potential vitality, put away vitality that depends upon the relative position of different parts of a framework. A spring has more potential vitality when it is compressed or extended.
So, Accordingly
+1C moved from A to B: 1(5-0) = 5J
+2C moved from D to C: 2(8-10) = -4J
+1C moved from E to G: 1(-3-7) = -10J
+3C moved from B to F: 3(5-5) = 0J
+2C moved from C to A to E: 2(7-8) = -1 J
-1C moved from B to C: -1(8-5) = -3J
-2C moved from G to A: -2(0-(-3)) = -6J
-4C moved from E to F: -4(5-7) = 8J
-3C moved from A to G: -3(-3-0) = 9 J
-1C moved from B to G to F: -1(5-5) = 0J
Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy
= Charge x (Potential of Last Area - Potential of beginning location)
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an object of mass 5kg is raised 3m above the ground. calculate the work done on the object.
Answer: 150 j
Explanation:
3x5x10=150 j
gravity equals 10
what is the magnitude of the change in momentum of the 1000 kg of water?express your answer with the appropriate units.
The change in momentum of the 1000kg of water is zero, in other words, the momentum before and after the bend is the same.
What is change in momentum?The change in momentum (Δp) of an object is the final momentum (pf) minus the initial momentum (pi). Since the mass is constant and the direction of the velocity is changed by 90 degrees, the magnitude of the change in momentum can be calculated as:
Δp = m × (vf - vi) = 1000 kg × (1.4 m/s - 1.4 m/s) = 0 kg-m/s
The direction of the change in momentum is perpendicular to the direction of velocity change, in this case, it's in the vertical direction.
So, the change in momentum of the 1000kg of water is zero, in other words, the momentum before and after the bend is the same.
This means that no force is required to change the direction of the water, but the pipe needs the thrust block to hold it in place since the force of the water moving at high velocity could cause the pipe to move or even break.
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The complete question is as follows:
A proton (with a rest mass m=1.67×10−27kg) has a total energy that is 4.00 times its rest energy.
Part A
What is the kinetic energy Ek of the proton?
Express your answer in billions of electron volts to three significant figures.
Ek= ????
A proton (with a rest mass m = 1.67×10⁻²⁷kg) has a total energy that is 4.00 times its rest energy then the kinetic energy Ek of the proton is 2.818GeV.
What exactly is kinetic energy?The power an object has as a result of motion is referred to as kinetic energy. In order to accelerate an object, a force must be applied. Applying force requires effort on our part. Following completion of the work, energy is transferred to the object, which then moves at a new, constant speed.
Given that
A proton with a rest mass m = 1.67×10⁻²⁷kg
A total of 4.00 times its rest energy.
Now the total energy Etotal = KE + mc²
KE = E - mc²
Then E = 4mc²
Therefore KE = 3mc²
KE = 3×(1.67×10−27kg)(3×10⁸m/s)²
KE = 45.09×10⁻¹¹J
We know that 1eV =1.6×10⁻¹⁹J
Then KE =28.18×10⁸eV = 2.818GeV.
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does a sound wave's frequency impact the speed of travel
in the same air?
There is no relationship between the wave speed and the wave frequency.
What is a wave?Let us note that the term wave would have to do with the kind of disturbance that is taking place in a medium and would lead to the transfer of energy. We should know that when a wave is in motion, the movement of the wave would have to be described in terms of about three main parameters and these are;
The wave lengthThe wave velocityThe wave frequencyThe wave frequency would have to do with the way that the number of cycles that the wave is able to complete per second and this is connected to the period of the wave.
However, the frequency of the wave is not affected by the speed of the wave as the both are independent of each other as seen in the description above.
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an astronaut in a space capsule under zero-gravity conditions holds two identical boxes, one filled with feathers, and another filled with bricks. how can they tell the boxes apart (without opening either box)?
This will be the box with sand inside if you attempt to push both boxes away from you and you face problems doing so because it has greater mass and inertia than the box with feathers.
What is a simple definition of inertia?A feature of matter wherein, absent an external force, it stays at rest or moves uniformly in the same direction.
Why does inertia happen?The law of inertia, also called as the Newton's first law, is a physics postulate that states that a body at rest or moving in a straight line and at constant speed will remain to do so unless it is acted with by a force.
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A monkey makes a pendulum by tying a 10-meter long cord to a banana. The pendulum swings back and forth, beginning from rest at the leftmost position. At the highest point “I” the cord makes a 60 degree angle with respect to an equilibrium position. Determine the speed of the banana at the equilibrium.
The speed of the banana at the equilibrium is determined as 9.9 m/s.
What is the speed of the banana at the equilibrium?
The speed of the banana at the equilibrium is calculated by applying the principle of conservation of mechanical energy as follows;
Kinetic energy of the banana at the lowest = Potential energy of the banana at the top height
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the height through which the banana fallsg is acceleration due to gravityThe vertical height, h is calculated from the inclination of the string from the vertical.
h = L cos ( 60 )
h = 10 m x cos ( 60 )
h = 5 m
The speed of the banana at the equilibrium is calculated as follows;
v = √ ( 2 x 9.8 x 5 )
v = 9.9 m/s
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the allowed energies of a quantum system are 0.0 eV, 1.5 eV, 3.0 eV and 6.0 eV. How many different wavelengths appear in the emission spectrum
Four different wavelengths appear in the emission spectrum.
Since there are 3 energy levels above ground state then there are 6 possible jumps giving six wavelengths ,but because energy levels are equal jumps in different transitions the result is four different wavelengths appear.
When an electron changes from a high energy state to a lower energy one, electromagnetic radiation is released, and this electromagnetic radiation is the emission spectrum of a chemical element or chemical compound. The photon energy of the released photon is equal to the energy difference between the two states.
The distance between two wave crests, which also applies to troughs, is known as the wavelength. The number of vibrations that span a particular area in a second is known as the frequency, which is measured in cycles per second (Hz) (Hertz).
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A block with a mass of 5.0 kg is pushed on a frictionless surface through a distance of 5.0 m by
applying a horizontal force of 80.0 n.
applied
force = 80.0 n
m = 5.0 kg
5.0 m
if the block starts from rest, what is its final velocity?
The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.
What is velocity?Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.
The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.
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The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.
What is velocity?Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.
Given:
The mass of the block, m = 5 kg,
The horizontal force, F = 80 N,
friction-less surface through a distance (s) = 5 m
Firstly, acceleration (a) = F/m
or, a = 80/5
or, a = 14 m/sec²
Next, we know, v² = u² + 2as
or, v² = 0 + (2 × 14 × 5) [the block starts from rest, so u = 0]
or, v² = 140
or, v = √140
or, v = 11.38 m/sec
The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.
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how much charge can the capacitor carry before dielectric breakdown of the air between the plates occurs?
The capacitor can carry 6.6 × 10⁻³ F charge, if the parallel plate capacitor with C=2.2μF and plate separation is 1 mm.
Electric potential difference across cap. plates and E field inside related by separation d. Maximum allowed field before breakdown then implies maximum voltage for given d.
Let the critical field, E₁ = 3 × 10⁶ v/m
Separation between the plates, d = 1 mm = 1 × 10⁻³ m
The breakdown voltage, V₁ = E₁ × d
V₁ = 3 × 10⁶ × 1 × 10⁻³ = 3 × 10³ V
Charge carry by the capacitor during breakdown, Q = C × V₁
Q = 2.2 × 10⁻⁶ × 3 × 10³
Q = 6.6 × 10⁻³ F
--The give question is incomplete, the complete question is,
"How much charge a parallel plate capacitor with C=2.2μF, and separation of plate 1 mm, can carry before the dielectric breakdown. If the critical field is, E₁ = 3 × 10⁶ v/m.
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if the circuit has a current of 0.021a, what must the electrical potential difference across the battery be?
To calculate electrical potential difference across the battery, the resistance of the circuit is required. Therefore the given question is incomplete.
Describe resistance.The ability of the material to restrict the flow of current is referred to as resistance. It is symbolized by the letter 'R'. The ohm, frequently written as a word and sometimes represented by the Greek letter omega, is the unit of resistance that is commonly used.
How does resistance develop in a circuit?As electrons pass from a conductor, such a metal wire, an electric current occurs. The atoms in the metal may clash with the travelling electrons. Resistance is created as a result, making it more challenging is for current to flow.
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a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir. the duration of each cycle is 1s what is the maximum power output of this engine how miuch heat does it expel in eeach cycle
a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir.
Maximum power output of the engine = (21000 J/s) / (350-80) C) = 215.79 W.
What is engine?An engine is a machine designed to convert one form of energy into mechanical energy. It is most commonly used to convert energy produced from burning fuel into rotational energy used to power a vehicle, machine, or device.
The amount of heat expelled in each cycle = 21000 J - (215.79 W x (350-80) C) = 20,838.21 J
The maximum power output of the Carnot cycle engine is determined by the temperature difference between the hot and cold reservoirs. The power output of the engine is equal to the amount of heat absorbed by the engine (21000 J) divided by the temperature difference (350-80 C).
The amount of heat expelled in each cycle is calculated by subtracting the power output (215.79 W x (350-80) C) from the amount of heat absorbed (21000 J).
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consider a problem in which a car of mass m is on a road tilted at an angle θ. the normal force
N=M*g
N=M*g*cos(theta)
N=(M*g)/cos(theta)
is found using sum vec{F}=M * a
A car of mass m is on a road tilted at an angle θ. The correct expression for the normal force is: N = mg cos θ
The free-body diagram is depicted on the attached picture. The forces acted on the car are: gravitational force (the weight of the car), normal force, and friction (if any).
Weight is equal to mass times the acceleration due to gravity.
w = mg
Where:
m = mass of the car
g = acceleration due to gravity
Since the road is tilted, the weight force can be written as its x-component and y-component:
wx = mg sin θ
wy = mg cos θ
Normal force is always perpendicular to the surface. Since the car moves at x -axis, it means that the net force at y-axis is zero.
Refer to the attached picture:
∑Fy = 0
N - mg cos θ = 0
N = mg cos θ
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a weight of 40.0 n is suspended from a spring that has a force constant of 200 n/m. the system is undamped and is subjected to a harmonic force with a frequency of 10.0 hz, which results in a forced-motion amplitude of 2.00 cm. determine the maximum value of the force.
If a mass of 40.0 n is postponed from a spring that has a force constant of 200 n/m. then maximum value of the force is 317.94 N
Describe force.A force is an effect with the ability to change a motion of an object. An massed object can change its velocity, or accelerate, as a result of a force.
According to the given question
weight of the object w=40 N
hence mass will be m=w/g = 40/9.81
spring constant k= 200 N/m
frequency f=10 Hz
anplitude generated A=2cm= 2*10^-2m
As the system is undamped equation for amplitude can be
simplified as
A= F/m[(w^2-Wo^2)^2+(bW/m)^2]^1/2 here b=0
so,
A= F/m(w^2-wo^2)
hence force is F=Am(w^2-wo^2)
F=0.02*(40/9.81)[(2
10)^2 -(200/40)*9.81 ]
= 317.94 N
hence maximum value of force is F= 317.94 N
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Using the scenario from question 1, if the spring constant was increased to 300 N/m and the same weight was added to the spring, which of the following is true about the spring’s displacement? a) The new spring will have a displacement greater than 3m. b) The new spring will hace a displacement of 3m. c) The new spring will have a displacement 2 times the original. d) The new spring will have a displacement less than 3m.
The only true statement about the displacement of the spring is, the new spring will have a displacement less than 3m.
option D is the correct answer.
What is the extension of the spring?
The extension of the spring is calculated by applying the formula for Hooke's law as shown below.
Mathematically, the formula for Hooke's law is given as;
F = kx
where;
F is the applied forcex is the extension of the springAt a given applied force and spring constant, the extension of the spring is calculated as;
x = F / k
when the applied force, F, or weight is kept constant, and the spring constant, k, is increased by 300 N/m, the new extension of the spring will decrease since the extension and spring constant are inversely proportional to each other.
If the initial displacement of the spring is 3 m, then the new spring will have a new displacement less than 3 m.
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A person tries to heat up her bath water by adding 5.0 L of water at 95 C to 60 L of water at 20 C. What is the final temperature of the bath water
The final temperature of the bath water is 25.77 C.
What is temperature?Temperature is a measure of the average kinetic energy of the particles in a substance. It is measured in degrees on the Celsius, Fahrenheit and Kelvin scales. Temperature is an important physical quantity that is used to describe a wide range of phenomena in science, engineering and everyday life. Temperature influences everything from the rate of chemical reactions to the growth of living organisms. Hotter objects have higher temperatures than cooler objects and when two objects of different temperatures come into contact, heat will flow from the hotter to the colder object until both reach the same temperature. This process of heat transfer is known as thermal equilibrium.
The final temperature of the bath water can be calculated using the equation:
Tfinal = (mass1*T1 + mass2*T2) / (mass1 + mass2)
where T is the temperature, mass is the mass of water.
In this case, the mass1 is 5.0 L of water (5.0 kg) at 95 C, and the mass2 is 60 L of water (60 kg) at 20 C. So the equation becomes:
Tfinal = (5.0 kg*95 C + 60 kg*20 C) / (5.0 kg + 60 kg)
Tfinal = (475 kg*C + 1200 kg*C) / (65 kg)
Tfinal = (1675 kg*C) / (65 kg)
Tfinal = 25.77 C
Therefore, the final temperature of the bath water is 25.77 C.
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Zookeepers carry a stretcher that holds a sleeping lion. The total mass of the stretcher and lion is 175 kg. The lion's forward acceleration is 2 m/s². What is the force necessary to produce this acceleration?
Answer:
350 N [Forward]
Explanation:
Recall the equation for force
Force (N) = mass (kg) * acceleration (m/s²)
or
F = ma
You're given the mass of the stretcher and lion combined is 175kg. Because the lion is in the stretcher, we treat can treat them as one body.
m = 175 kg
You also know the stretcher and lion body is accelerating at 2 m/s².
You have all the information needed to solve.
F = ma
= (175 kg)(2 m/s²)
= 350 N
Because Force is a vector quantity, you have to say the direction. The direction is simply "forward" so make sure to write forward to complete your answer like:
350 N [Forward]
6. How long must a 800 N net force act to produce a change in momentum of 400 kg·m/s? The force Fx acting on a 5kg particle varies in time as shown in the fig. below. F(N) 40 t(s) 4 8 12 16 20 a. What is impulse of the force? b. The average force exerted on the particle.
For part A. The impulse of the force is the area under the force-time graph. The figure you provided is not accessible to me, but if the graph is of a constant force over time, the impulse can be calculated as:
[tex]Impulse = force x time = (40 N) (20 s) = 800 N*s[/tex]
For part B. The average force exerted on the particle is the impulse divided by the time, it can be calculated as:
[tex]Average force = impulse / time = 800 N*s / 20 s = 40 N[/tex]
What is momentum?Momentum is a concept in physics that describes the tendency of an object to continue moving in the same direction at the same speed. It is a vector quantity, meaning it has both a magnitude and a direction. The momentum of an object is equal to its mass multiplied by its velocity.
In the context of finance, momentum refers to the rate of acceleration of price or volume changes in a security or market. It is often used by investors to identify trends and make investment decisions.
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20. if you were trying to build a soundproof room, which of the following materials would you choose to absorb the most sound, based on the coefficient of absorption for each material? a. carpet b. clay tile c. heavy curtains d. wood
If you were trying to build a soundproof room, the material that would absorb the most sound, based on the coefficient of absorption for each material, would be heavy curtains.
What do you mean by coefficient of absorption?
The coefficient of absorption is a measure of how well a material absorbs sound. It is a dimensionless number, usually expressed as a decimal between 0 and 1, with a higher value indicating better sound absorption. The coefficient of absorption is used to determine the sound absorption properties of a material in a specific frequency range, and it is usually determined by measuring the sound energy absorbed by a material as compared to the sound energy that is incident upon it.
It is usually expressed as a decimal between 0 and 1, with a higher value indicating better sound absorption.
According to the data available, heavy curtains have a higher coefficient of absorption than carpet, clay tile, and wood. They are typically made of thick, dense fabrics that are able to absorb a significant amount of sound energy, which helps to reduce noise transmission through walls and ceilings. Carpet, clay tile and wood have lower coefficient of absorption values, which means they are not as good at absorbing sound.
It's worth noting that soundproofing a room is a complex task that involves multiple aspects, not only the absorption of sound, but also its insulation and soundproofing. So, it's always better to consult with a professional to get the best result.
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Name some situation where charges occurs naturally
Some situations where charges occur naturally are lightning during thunderstorms.
What are the charges that exist in nature?There are two kinds of electric charge: positive and negative (commonly conveyed by protons and electrons individually). Examples of the types of charges are subatomic flecks or the particles of matter: Protons are positively charged. Electrons are negatively charged. Neutrons have naught charges.
Due to the apparent additional nature of the charge, the total electric charge of such a structure would be equal to the algebraic summation of the electric charges present all around the structure or system. The rule of superimposition of electric charge explains the compelling nature of the charge.
So we can conclude that Charging by Friction When two things are rubbed against each other
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Lightning, Friction,Electrostatic Induction, Piezoelectricity, Thermoelectricity, Photoelectric effect and Cosmic ray
What are several situations where charges can occur naturally?Lightning: During a thunderstorm, charges can build up in the atmosphere due to the movement of water droplets and ice particles. This can result in a lightning strike, which is a discharge of electricity through the atmosphere.
Friction: When two materials rub against each other, electrons can be transferred from one material to the other, resulting in a separation of charges. This is known as the triboelectric effect.
Electrostatic Induction: Electric charges can be induced on an object by bringing it near a charged object without making contact.
Piezoelectricity: Certain materials, such as quartz crystals, can generate a voltage when they are under mechanical stress, resulting in the separation of charges.
Thermoelectricity: A temperature difference between two materials can cause a flow of charge carriers, resulting in a voltage difference between the two materials.
Photoelectric effect: When light hit a metal surface , electrons are emitted from the surface and produces charge.
Cosmic ray: Cosmic rays are high-energy particles that come from outer space, which can ionize atoms and molecules in the atmosphere, resulting in the separation of charges.
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