Question 1

A rocket is launched vertically upward with a constant acceleration of $$120\,\mathrm{m/s^2$}$$ for $$1.70\,\mathrm{s}$$ before it runs out of fuel. What is the velocity of the rocket the instant it runs out of fuel?

Accepted Answer

$$v = 204\,\mathrm{m/s}$$

Question 2

A motorcycle is $$60.0\,\mathrm{m}$$ behind a car traveling at $$75.0\,\mathrm{km/h}$$ and catches up in $$10.0\,\mathrm{s}. $$What is the magnitude of the motorcycle's acceleration?

Accepted Answer

$$a = 0.366\,\mathrm{m/s^2$}$$

Question 3

A crate is at rest on an incline. The coefficient of static friction is $$\mu_s = 0.57$$ and the normal force is $$N = 154\,\mathrm{N}. $$What is the force of friction acting on the crate?

Accepted Answer

$$F_{\mathrm{friction}} = 88\,\mathrm{N}$$

Question 4

A painter of mass $$60\,\mathrm{kg}$$ stands on a $$40\,\mathrm{kg}$$ platform and pulls herself up by a rope over a pulley. What force must she apply to accelerate herself and the platform upward at $$1.80\,\mathrm{m/s^2$}$$?

Accepted Answer

$$F = 447\,\mathrm{N}$$

Question 5

A ball is hit and lands in the left-field seats with a velocity of $$36\,\mathrm{m/s} at an $$angle of $$28^\circ$$ below the horizontal. What was the initial velocity of the ball as it left the bat?

Accepted Answer

$$v_0 = 38$$\,\mathrm{m/s}$$\ at\ 33^\circ$ above the horizontal

Question 6

A skier slides down a slope at $$11^\circ$$ above the horizontal. If the friction force on the skier's skis is $$1.60\,\mathrm{N}$$, what is the coefficient of friction between the skis and the slope?

Accepted Answer

$$\mu = 0.19$$

Question 7

A crate of mass $$88\,\mathrm{kg} is $$pushed up an incline and released. The coefficient of kinetic friction is $$\mu_k = 0.40. $$What is the kinetic friction force acting on the crate as it moves up the incline?

Accepted Answer

$$F_{k} = 61\,\mathrm{N}$$

Question 8

A sanding block of weight $$2.0\,\mathrm{N} is $$pushed up a wall with a force of $$3.0\,\mathrm{N} at$$ $$30^\circ to $$the vertical. If the block moves at constant velocity, what is the coefficient of kinetic friction?

Accepted Answer

$$\mu_k = 0.40$$

Question 9

A skydiver jumps from a plane at $$y = 3048\,\mathrm{m}$$ and opens the parachute at $$t = 8.00\,\mathrm{s}. If $$the skydiver touches down at $$t = 12.0\,\mathrm{s}$$, what is the average velocity during the entire descent?

Accepted Answer

Question 10

A police squad car accelerates uniformly from rest to catch up to a truck traveling at $$20.12\,\mathrm{m/s}$$ over a distance of $$2.253\,\mathrm{km}. $$What is the acceleration of the police car?

Accepted Answer

$$a = 0.22\,\mathrm{m/s^2$}$$

Question 11

A ball is thrown upward and reaches a maximum height of $$11.5\,\mathrm{m}. $$How long does it take to reach this height?

Accepted Answer

$$t = 1.53\,\mathrm{s}$$

Question 12

A crate system consists of two crates, Crate 1 ($$66.0\,\mathrm{kg}) $$and Crate 2 ($$154\,\mathrm{kg}$$), being lifted upward with an acceleration of $$0.620\,\mathrm{m/s^2$}. $$What is the tension in the cable below Crate 1?

Accepted Answer

$$T = 1610\,\mathrm{N}$$

Question 13

A projectile is launched horizontally and falls a vertical distance of $$91.46\,\mathrm{cm}$$ while traveling a horizontal distance of $$105.79\,\mathrm{cm}. $$What is its initial velocity?

Accepted Answer

$$v_0 = 2.45$$\,\mathrm{m/s}$$

Question 14

A painter pulls herself and a $$40\,\mathrm{kg}$$ platform upward at a constant speed of $$2.25\,\mathrm{m/s}. $$What force must she apply?

Accepted Answer

$$F = 378\,\mathrm{N}$$

Question 15

A crate of mass $$88\,\mathrm{kg} is $$released and moves down an incline. The coefficient of kinetic friction is $$0.40. $$What is the acceleration of the crate as it moves down the incline?

Accepted Answer

$$a = 1.5\,\mathrm{m/s^2$}$$\ directed\ down\ the\ incline

Question 16

A sanding block of weight $$2.0\,\mathrm{N} is $$pushed up a wall with a force of $$3.0\,\mathrm{N} at$$ $$30^\circ to $$the vertical, producing an upward acceleration of $$0.815\,\mathrm{m/s^2$}. $$What is the new push force required?

Accepted Answer

$$F_{\mathrm{push}} = 3.2\,\mathrm{N}$$

Question 17

A ball is thrown upward and reaches a maximum height of $$11.5\,\mathrm{m}. $$What is the total time the ball is in the air?

Accepted Answer

$$t = 3.06\,\mathrm{s}$$

Question 18

A painter and platform system must experience what acceleration so that the force applied by the painter equals the weight of the system?

Accepted Answer

$$a = 9.81\,\mathrm{m/s^2$}$$

General Physics Exam 1 Review: Kinematics, Dynamics, and Forces

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