Q: A 25.0 kg stone is lifted from the ground to the top of a 55.0 m building and is moving at $$5.00\ \mathrm{m/s} at $$the top. What is the total work done by the person lifting the stone? ($$g = 9.8\ \mathrm{m/s^2$})$$

$$1.5 \times 10^4$\ \mathrm{J}$$

Q: You are designing a spring-launched model rocket. The spring can be compressed 14 cm, and the rocket's mass is 65 g. If the rocket must reach an altitude of 35 m, what should the spring constant be? ($$g = 9.81\ \mathrm{m/s^2$})$$

$$3.2 \times 10^3$\ \mathrm{N/m}$$

Question 1

A 1200-kg car rounds a flat turn of radius 81.0 m. If the coefficient of static friction between the tires and the road is 0.50, what is the maximum speed the car can have without skidding? Use $$g = 9.8\ \mathrm{m/s^2$}.$$

Accepted Answer

$$14\ \mathrm{m/s}$$

Question 2

The acceleration due to gravity on Planet A is one-sixth that on Planet B, and the radius of Planet A is one-fourth that of Planet B. What is the mass of Planet A as a fraction of the mass of Planet B?

Accepted Answer

$$\frac{1}{24}$$

Question 3

A satellite circles Mars 100 km above the planet's surface. Mars has a mass of $$6.42 	imes 10$$^{23}$$\ \mathrm{kg}$$ and a radius of $$3.40 	imes 10^6$\ \mathrm{m}. $$What is the period of the satellite's orbit in hours? ($$G = 6.67 	imes 10$$^{-11}$$\ \mathrm{N\cdot m^2$/kg^2$$}$)

Accepted Answer

$$1.75$$ hours

Question 4

Refer to the first image. A 2.00 kg object moves up a frictionless incline. If $$F_1 = 20.0$$\ \mathrm{N}$$ acts parallel to the incline, what is the work done by F_1$ as the object moves 0.600 m up the incline?

Accepted Answer

$$12.0\ \mathrm{J}$$

Question 5

A 5.00-kg box slides 5.00 m across the floor before coming to rest. If its initial speed was $$3.00\ \mathrm{m/s}$$, what is the coefficient of kinetic friction between the box and the floor?

Accepted Answer

$$0.092$$

Question 6

A 25.0 kg stone is lifted from the ground to the top of a 55.0 m building and is moving at $$5.00\ \mathrm{m/s} at $$the top. What is the total work done by the person lifting the stone? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.5 	imes 10^4$\ \mathrm{J}$$

Question 7

You are designing a spring-launched model rocket. The spring can be compressed 14 cm, and the rocket's mass is 65 g. If the rocket must reach an altitude of 35 m, what should the spring constant be? ($$g = 9.81\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.2 	imes 10^3$\ \mathrm{N/m}$$

Question 8

Refer to the third image. A 2.0 g bead slides along a frictionless wire. At point A (100 cm above the reference), the bead is nearly at rest. What is the speed of the bead at point B (the lowest point)? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$4.4\ \mathrm{m/s}$$

Question 9

A child sleds down a frictionless hill with a vertical drop of $$7.2\ \mathrm{m}. At $$the bottom, the sled enters a rough stretch with a coefficient of kinetic friction $$\mu_k = 0.51. $$How far does the sled travel on the rough stretch before stopping?

Accepted Answer

$$9.6\ \mathrm{m}$$

Question 10

Refer to the fourth image. A 2.5-kg box slides at $$1.2\ \mathrm{m/s}$$ and compresses a spring by $$5.0\ \mathrm{cm}$$ before stopping. The work done by friction is $$-0.50\ \mathrm{J}. $$What is the spring constant $$k$$?

Accepted Answer

$$1300\ \mathrm{N/m}$$

Question 11

A block slides down a $$40^\circ$$ incline (see second image) and travels $$1.6\ \mathrm{m}$$, increasing its speed from $$0 to$$ $$4\ \mathrm{m/s}. $$What is the net work done on the block?

Accepted Answer

$$8\ \mathrm{J}$$

Question 12

A 2.0 g bead starts at rest at point A (100 cm above reference, see third image) and slides to point C (80 cm above reference). What is its speed at point C? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.98\ \mathrm{m/s}$$

Question 13

A 5.00-kg box is pushed across a floor with an initial speed of $$3.00\ \mathrm{m/s}$$ and comes to rest after $$5.00\ \mathrm{m}. $$What is the work done by friction?

Accepted Answer

$$-22.5\ \mathrm{J}$$

Question 14

A 2.5-kg block compresses a spring by $$5.0\ \mathrm{cm}$$ and comes to rest. If the initial kinetic energy was $$1.8\ \mathrm{J}$$ and the work done by friction is $$-0.50\ \mathrm{J}$$, what is the elastic potential energy stored in the spring?

Accepted Answer

$$1.3\ \mathrm{J}$$

Question 15

A 65 g rocket is launched vertically by a spring compressed $$0.14\ \mathrm{m}. If $$the spring constant is $$3.2 	imes 10^3$\ \mathrm{N/m}$$, what is the maximum height the rocket can reach? ($$g = 9.81\ \mathrm{m/s^2$})$$

Accepted Answer

$$35\ \mathrm{m}$$

Question 16

A child sleds down a hill with a vertical drop of $$7.2\ \mathrm{m}$$ and then slides across a rough patch with $$\mu_k = 0.51. If $$the child and sled have a combined mass of $$30\ \mathrm{kg}$$, what is the friction force on the rough patch? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$100\ \mathrm{N}$$

College Physics I – Step-by-Step Guidance for Midterm Review Problems

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