Vectors, Motion & Kinematics
An object moves from x = 2 m to x = 14 m to the north. What is its displacement?
12 m North
Ignoring air resistance, what happens to the horizontal velocity of a projectile while it is in the air?
A book rests motionless on a horizontal table. What two vertical forces act on the book?
Weight downward and normal force upward
What equation defines linear momentum?
One complete revolution equals how many radians?
2π rad
A car travels 100 m east in 5.0 s. What is its average velocity?
20 m/s east
At the highest point of a projectile's trajectory. What are its vertical velocity and vertical acceleration?
vy = 0
a = -9.8 m/s2
A 5.0 kg object has a net force of 20 N acting on it. What is its acceleration?
4.0 m/s2
A 0.50 kg ball travels at 8.0 m/s. What is its momentum?
4.0 kgm/s
A wheel completes one revolution every 0.50 s. What is its angular velocity?
12.6 rad/s
A student walks 8 m east and then 6 m north. What is the magnitude and direction of the student's displacement?
10 m at 36.9 degrees north of east.
A ball rolls horizontally off a 20 m tall cliff. How long does it take to hit the ground?
2.02 s
A 20 kg box is pushed horizontally with 60 N. The box accelerates at 2.0 m/s2. What friction force acts on the box?
20 N
A constant force of 12 N acts for 0.25 s. What impulse is delivered?
3.0 Ns
An object travels at 6.0 m in a circular path of radius 3.0 m. What is its radial acceleration?
12 m/s2
A car starts from rest and accelerates at 3 m/s2 for 4 s. How far does the car travel?
24 m
A ball is launched horizontally at 12 m/s from a 20 m tall cliff. How far horizontally does it travel before hitting the ground?
24.2 m
A 10 kg block rests on a 30-degree incline. What is the normal force acting on the block?
85 N
A 0.60 kg basketball hits the ground traveling downward at 5.0 m/s and rebounds upward at 4.0 m/s. The collision lasts 0.10 s. Take upward as positive. What is the average net force on the basketball?
54 N
A roller coaster moves through the top of a circular loop. If its speed is constant at that instant, which direction does its net force point relative to its velocity?
Perpendicular to its velocity and toward the center
A ball is thrown straight upward at 18 m/s. How long does it take to reach maximum height, and how high does it rise?
1.84 s, 16.5 m
A soccer ball is kicked at 20 m/s at an angle of 30 degrees above the horizontal. Determine its initial horizontal and vertical velocity components.
vx = 17.3 m/s
vy = 10.0 m/s
A 10 kg box is pulled up a 30-degree incline at constant speed. The coefficient of kinetic friction is 0.30. The rope is parallel to the ramp. What pulling force is required?
75 N
A 1000 kg cart travels at 6.0 m/s. A 500 kg load is dropped vertically into it. What is the cart's new horizontal velocity?
4.0 m/s
A 0.40 kg puck is attached to a 0.50 m string and travels in a horizontal circle. It completes one revolution every 1.0 s. What is the tension in the string?
7.9 N