Question 1

A car and a truck start from rest at the same instant, with the car initially some distance behind the truck. The truck has a constant acceleration of $$2.10\ \mathrm{m/s^2$}$$, and the car has an acceleration of $$3.40\ \mathrm{m/s^2$}. $$The car overtakes the truck after the truck has moved $$60.0\ \mathrm{m}. $$How much time does it take the car to overtake the truck?

Accepted Answer

$$6.73\ \mathrm{s}$$

Question 2

A physics professor, $$1.80\ \mathrm{m}$$ tall, walks alongside a building at $$1.20\ \mathrm{m/s}. $$You are on the roof, $$46.0\ \mathrm{m}$$ above the ground. If you want to drop an egg on your professor's head, how far from the point directly below you should the professor be when you release the egg? (Assume free fall for the egg.)

Accepted Answer

$$13.9\ \mathrm{m}$$

Question 3

A woman walks at $$1.5\ \mathrm{m/s}$$ relative to a moving sidewalk that moves at $$1.0\ \mathrm{m/s}$$, and the sidewalk is $$35.0\ \mathrm{m}$$ long. How much time does it take her to reach the opposite end if she walks in the same direction as the sidewalk?

Accepted Answer

$$14.0\ \mathrm{s}$$

Question 4

An airplane pilot sets a compass course due west and maintains an airspeed of $$220\ \mathrm{km/h}. $$After $$0.500\ \mathrm{h}$$, she finds herself over a town $$120\ \mathrm{km}$$ west and $$20\ \mathrm{km}$$ south of her starting point. What is the magnitude of the wind velocity?

Accepted Answer

$$44.7\ \mathrm{km/h}$$

Question 5

Two forces $$\vec{F}_1$$ and $$\vec{F}_2$$ act at a point. $$\vec{F}_1$$ has magnitude $$9.00\ \mathrm{N} at$$ $$60.0^\circ$$ above the x-axis in the second quadrant. $$\vec{F}_2$$ has magnitude $$6.00\ \mathrm{N} at$$ $$53.1^\circ$$ below the x-axis in the third quadrant. What is the x-component of the resultant force?

Accepted Answer

$$-7.50\ \mathrm{N}$$

Question 6

An astronaut’s pack weighs $$17.5\ \mathrm{N} on $$Earth but only $$3.24\ \mathrm{N} on $$the surface of a moon. What is the acceleration due to gravity on this moon?

Accepted Answer

$$1.81\ \mathrm{m/s^2$}$$

Question 7

A $$12.0\ \mathrm{kg}$$ chair is pushed with a force $$F = 40.0\ \mathrm{N} at an $$angle of $$37.0^\circ$$ below the horizontal. What is the normal force exerted by the floor on the chair?

Accepted Answer

$$156\ \mathrm{N}$$

Question 8

Two crates, one with mass $$4.00\ \mathrm{kg}$$ and the other with mass $$6.00\ \mathrm{kg}$$, are connected by a light rope on a frictionless surface. A force $$F$$ gives the $$6.00\ \mathrm{kg}$$ crate an acceleration of $$2.50\ \mathrm{m/s^2$}. $$What is the tension $$T in $$the rope connecting the crates?

Accepted Answer

$$10.0\ \mathrm{N}$$

Question 9

A man pushes on a piano with mass $$180\ \mathrm{kg} so it $$slides at constant velocity down a ramp inclined at $$19.0^\circ$$ above the horizontal. What is the magnitude of the force applied by the man if he pushes parallel to the incline?

Accepted Answer

$$573\ \mathrm{N}$$

Question 10

A $$550\ \mathrm{N}$$ physics student stands on a scale in an elevator supported by a cable. The combined mass of student plus elevator is $$850\ \mathrm{kg}. As $$the elevator starts moving, the scale reads $$450\ \mathrm{N}. $$What is the acceleration of the elevator?

Accepted Answer

$$-1.79\ \mathrm{m/s^2$}$$

Question 11

A $$650\ \mathrm{N}$$ passenger stands in an elevator where the upward normal force from the floor is $$620\ \mathrm{N}. $$What is the magnitude and direction of the passenger's acceleration?

Accepted Answer

$$0.47\ \mathrm{m/s^2$}$$, downward

Question 12

A $$12.0\ \mathrm{kg}$$ chair is pushed with a force $$F = 40.0\ \mathrm{N} at an $$angle of $$37.0^\circ$$ below the horizontal. What is the horizontal component of the applied force?

Accepted Answer

$$32.0\ \mathrm{N}$$

Question 13

A $$4.00\ \mathrm{kg}$$ crate and a $$6.00\ \mathrm{kg}$$ crate are connected by a rope and pulled so that the $$6.00\ \mathrm{kg}$$ crate accelerates at $$2.50\ \mathrm{m/s^2$}. $$What is the net force on the $$4.00\ \mathrm{kg}$$ crate?

Accepted Answer

$$10.0\ \mathrm{N}$$

Question 14

A moving sidewalk in an airport terminal moves at $$1.0\ \mathrm{m/s}$$ and is $$35.0\ \mathrm{m}$$ long. If a woman walks at $$1.5\ \mathrm{m/s}$$ relative to the sidewalk in the opposite direction, how much time does it take her to reach the opposite end?

Accepted Answer

$$70.0\ \mathrm{s}$$

Question 15

A $$17.5\ \mathrm{N}$$ pack has a mass of $$1.79\ \mathrm{kg} on $$Earth. On a moon where it weighs $$3.24\ \mathrm{N}$$, what is the mass of the pack on the moon?

Accepted Answer

$$1.79\ \mathrm{kg}$$

Physics with Calculus Study Guide: Kinematics, Forces, and Dynamics

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