Q: A satellite with a mass of $$2.0 \times 10^3$\ \mathrm{kg} is in a $$circular orbit around the Earth. The mass of the Earth is $$5.97 \times 10$$^{24}$$\ \mathrm{kg}$$, and the satellite has an orbital radius of $$6.78 \times 10^6$\ \mathrm{m}. $$How long does it take for the satellite to complete one orbit?

$$2.2 \times 10^4$\ \mathrm{s}$$

Q: On an unknown planet, you drop a ball from rest at a height of $$4.0\ \mathrm{m}$$ and it takes $$1.0\ \mathrm{s} to $$hit the ground. If the planet has the same mass as the Earth ($$5.97 \times 10$$^{24}$$\ \mathrm{kg}$$), what is its radius?

$$1.8 \times 10^6$\ \mathrm{m}$$

Q: A car with a total mass of $$1000\ \mathrm{kg} is $$moving up a mountain, climbing a total distance of $$2.0 \times 10^3$\ \mathrm{m} in$$ $$30$$ seconds at a constant speed. What is the average power output of the car's engine in this motion?

$$6.5 \times 10^4$\ \mathrm{W}$$

Question 1

A person with weight $$W$$ stands at rest on a circular Ferris wheel moving at a constant speed. At which point along the path is the normal force acting on the person the greatest in magnitude?

Accepted Answer

At the bottom of the path

Question 2

A horse connected to a plow travels in a uniform horizontal circle. The radius of the circle is $$0.35\ \mathrm{m}$$ and the horse is moving at $$1.8\ \mathrm{m/s}. $$What is the angle $$	heta$$ between the plow string and the vertical direction?

Accepted Answer

$$45^\circ$$

Question 3

A person has mass $$m on $$Earth. Surface gravity on a remote planet is one-eighth that on Earth, and the planet has a radius half that of Earth. What is the weight of the person on the new planet's surface?

Accepted Answer

$$W/2$$

Question 4

A car travels around a curve of radius $$R$$ banked at an angle $$	heta$$ with no friction. What is the maximum speed $$v at $$which the car can make the turn without skidding?

Accepted Answer

$$v = \sqrt{gR	an	heta}$$

Question 5

A $$2.0\ \mathrm{kg}$$ block slides down a $$1.0\ \mathrm{m}$$ ramp with a coefficient of friction $$\mu = 0.16. $$The ramp makes an angle of $$30^\circ$$ with respect to the horizontal. If the block has a speed of $$3.0\ \mathrm{m/s} at $$the bottom, what is the net work done on the block by external forces as it slides down?

Accepted Answer

$$0.0\ \mathrm{J}$$

Question 6

A satellite with a mass of $$2.0 	imes 10^3$\ \mathrm{kg} is in a $$circular orbit around the Earth. The mass of the Earth is $$5.97 	imes 10$$^{24}$$\ \mathrm{kg}$$, and the satellite has an orbital radius of $$6.78 	imes 10^6$\ \mathrm{m}. $$How long does it take for the satellite to complete one orbit?

Accepted Answer

$$2.2 	imes 10^4$\ \mathrm{s}$$

Question 7

On an unknown planet, you drop a ball from rest at a height of $$4.0\ \mathrm{m}$$ and it takes $$1.0\ \mathrm{s} to $$hit the ground. If the planet has the same mass as the Earth ($$5.97 	imes 10$$^{24}$$\ \mathrm{kg}$$), what is its radius?

Accepted Answer

$$1.8 	imes 10^6$\ \mathrm{m}$$

Question 8

A $$5.0\ \mathrm{kg}$$ block on a horizontal surface is pulled a distance of $$4.0\ \mathrm{m} by a $$force of $$30.0\ \mathrm{N}$$ making an angle of $$40^\circ$$ above the horizontal. The frictional force is $$10.0\ \mathrm{N}. $$What is the work done by the tension force?

Accepted Answer

$$460\ \mathrm{J}$$

Question 9

A $$2.0\ \mathrm{kg}$$ block on a horizontal surface is attached to a spring ($$k = 200\ \mathrm{N/m}) $$compressed by $$0.20\ \mathrm{m}. $$The spring is released and the block slides along the surface with a coefficient of kinetic friction $$\mu_k = 0.10$$ for $$0.60\ \mathrm{m}. $$What is the speed of the block after leaving the spring?

Accepted Answer

$$0.68\ \mathrm{m/s}$$

Question 10

A monkey of mass $$20\ \mathrm{kg}$$ jumps down an $$8.0\ \mathrm{m}$$ high ledge, swinging upward on a vine. The monkey has a mass of $$20\ \mathrm{kg}$$ and the vine is $$8.0\ \mathrm{m}$$ long. What is the speed of the two of them after they 'collide'?

Accepted Answer

$$8.0\ \mathrm{m/s}$$

Question 11

A car with a total mass of $$1000\ \mathrm{kg} is $$moving up a mountain, climbing a total distance of $$2.0 	imes 10^3$\ \mathrm{m} in$$ $$30$$ seconds at a constant speed. What is the average power output of the car's engine in this motion?

Accepted Answer

$$6.5 	imes 10^4$\ \mathrm{W}$$

Question 12

A $$1700\ \mathrm{kg}$$ truck, moving east at $$20\ \mathrm{m/s}$$, collides with a $$1200\ \mathrm{kg}$$ car moving west at $$20\ \mathrm{m/s}. If $$the two vehicles stick together after the collision, what is their final speed?

Accepted Answer

$$5.0\ \mathrm{m/s}$$\ east

Question 13

A projectile with mass $$0.10\ \mathrm{kg}$$ and speed $$8.0\ \mathrm{m/s}$$ hits a block (mass $$5.0\ \mathrm{kg}) at $$rest, compressing a spring with force constant $$500\ \mathrm{N/m}. $$What is the maximum distance by which the block will compress the spring?

Accepted Answer

$$8.0\ \mathrm{cm}$$

Question 14

A $$2.0\ \mathrm{kg}$$ block moving at $$4.0\ \mathrm{m/s}$$ collides with a $$4.0\ \mathrm{kg}$$ block at rest attached to a spring. The spring was at rest with $$4.0\ \mathrm{J} of $$elastic potential energy. The two blocks rebound from rest and move off in opposite directions. What is the final speed of the $$2.0\ \mathrm{kg}$$ block?

Accepted Answer

$$3.0\ \mathrm{m/s}$$

Question 15

A bullet with mass $$0.040\ \mathrm{kg}$$ and speed $$200\ \mathrm{m/s} is $$fired into a block (mass $$M) $$hanging from a string, causing it to swing upward. If the block rises $$0.16\ \mathrm{m}$$ from where it was freely hanging, what is the mass $$M of $$the block?

Accepted Answer

$$0.80\ \mathrm{kg}$$

Question 16

A $$0.15\ \mathrm{kg}$$ ball moving at $$20\ \mathrm{m/s} to $$the right collides with a wall and rebounds to the left at $$20\ \mathrm{m/s}. $$What is the impulse on the ball during its collision with the wall?

Accepted Answer

$$6.0\ \mathrm{N \cdot s}$$\ to the right

Question 17

A small object is held stationary at the top of a frictionless track shaped like a loop-the-loop. After release, the object passes through the top of the loop (point A) and the bottom (point B). What is the normal force acting on the object at the top of the loop?

Accepted Answer

Zero

Question 18

Two objects, one of mass $$2.0\ \mathrm{kg}$$ and one of mass $$4.0\ \mathrm{kg}$$, are released from rest at a height of $$10\ \mathrm{m}. If $$air resistance can be neglected, what is true about the kinetic energies of the objects just before hitting the ground?

Accepted Answer

The heavier object will have twice the kinetic energy of the lighter one

Physics Exam 2 Study Guidance: Circular Motion, Inclined Planes, Gravity, and Energy

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