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?

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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