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WorksheetsMini test
Total questions: 67
Worksheet time: 1hrs 7mins
A car starts from rest and accelerates uniformly at 2 m/s². Find the distance traveled in 6 s.
36 m
24 m
72 m
18 m
A car starts from rest and accelerates uniformly at 2 m/s². Find the speed at 6 s.
12 m/s
6 m/s
24 m/s
18 m/s
A ball is thrown vertically upward at 12 m/s. (a) Find the maximum height. Take g = 10 m/s².
7.2 m
5.4 m
14.4 m
2.4 m
A ball is thrown vertically upward at 12 m/s. (b) Find the total time in the air. Take g = 10 m/s².
2.4 s
1.2 s
3.6 s
4.8 s
A stone is launched horizontally at 8 m/s from a 20 m high cliff. (a) Time to reach the ground?
2 s
4 s
1 s
3 s
A stone is launched horizontally at 8 m/s from a 20 m high cliff. (b) Horizontal range?
16 m
10 m
25 m
32 m
A bike slows uniformly from 18 m/s to rest in 6 s. (a) Find the acceleration.
-3 m/s²
-2 m/s²
-6 m/s²
-1 m/s²
A bike slows uniformly from 18 m/s to rest in 6 s. Find the stopping distance.
54 m
36 m
72 m
27 m
A traveler walks 300 m at 5 m/s and then 200 m at 10 m/s. (a) Find the total time.
70 s
60 s
80 s
50 s
A traveler walks 300 m at 5 m/s and then 200 m at 10 m/s. Find the average speed for the whole trip.
7.14 m/s
6.00 m/s
8.00 m/s
5.50 m/s
A point moves in a circle of radius 0.40 m with constant angular speed ω = 3 rad/s. (a) Angle turned in 10 s.
30 radians
15 radians
60 radians
3 radians
A point moves in a circle of radius 0.40 m with constant angular speed ω = 3 rad/s. (b) Tangential speed.
1.2 m/s
0.8 m/s
2.4 m/s
0.4 m/s
A particle has position r(t) = (2t) i + (3t²) j (SI units). (a) Find v(t) and a(t).
v(t) = 2i + 6t j; a(t) = 6j
v(t) = 2i + 3t j; a(t) = 3j
v(t) = 2i + 6t j; a(t) = 2j
v(t) = 3i + 6t j; a(t) = 6j
A particle has position r(t) = (2t) i + (3t²) j (SI units). (b) Evaluate speed at t = 2 s.
6.32 m/s
4.00 m/s
8.00 m/s
10.00 m/s
A train increases its speed from 10 to 16 m/s uniformly in 12 s. (a) Find the acceleration.
0.5 m/s²
0.3 m/s²
1.2 m/s²
0.8 m/s²
A train increases its speed from 10 to 16 m/s uniformly in 12 s. Find the distance covered in those 12 s.
156 m
120 m
180 m
200 m
A projectile is launched at 20 m/s at 30° above the horizontal. Neglect air resistance. (a) Time of flight. Use g = 10 m/s².
2 s
1 s
4 s
3 s
A projectile is launched at 20 m/s at 30° above the horizontal. Neglect air resistance. (b) Range. Use g = 10 m/s².
34.6 m
20.0 m
25.0 m
40.0 m
A car travels at a constant 15 m/s for 25 s. (a) Distance covered in meters.
375 m
150 m
600 m
225 m
A car travels at a constant 15 m/s for 25 s. (b) The same distance in kilometers.
0.375 km
0.15 km
3.75 km
0.025 km
A person walks 6 m east and then 8 m north. (a) Find the displacement magnitude.
10 m
12 m
14 m
8 m
A person walks 6 m east and then 8 m north. (b) Find the direction (angle north of east).
53.1°
36.9°
45.0°
60.0°
A skateboarder speeds up from 4 to 10 m/s in 3 s with constant acceleration. Find the average acceleration.
2 m/s²
1 m/s²
3 m/s²
6 m/s²
A cart moving at 14 m/s is brought to rest with a uniform deceleration of 2 m/s². (a) Time to stop.
7 s
5 s
10 s
2 s
A cart moving at 14 m/s is brought to rest with a uniform deceleration of 2 m/s². (b) Stopping distance.
49 m
28 m
98 m
7 m
An elevator starts from rest and accelerates upward at 1.5 m/s² for 4 s, then continues at that constant speed for 10 s. Find the total distance traveled (ignore the final stop).
44 m
36 m
52 m
60 m
A bead moves on a circular wire of radius 0.50 m with angular position θ(t) = t² (radians). At t = 3 s, find (a) ω.
6 rad/s
3 rad/s
9 rad/s
1.5 rad/s
A bead moves on a circular wire of radius 0.50 m with angular position θ(t) = t² (radians). At t = 3 s, find (b) α.
2 rad/s²
3 rad/s²
6 rad/s²
1 rad/s²
A bead moves on a circular wire of radius 0.50 m with angular position θ(t) = t² (radians). At t = 3 s, find tangential acceleration.
1 m/s²
0.5 m/s²
3 m/s²
2 m/s²
A bead moves on a circular wire of radius 0.50 m with angular position θ(t) = t² (radians). At t = 3 s, find (d) centripetal acceleration.
72 m/s²
36 m/s²
18 m/s²
54 m/s²
A 3 kg block on a horizontal table is pulled by a 10 N horizontal force. The kinetic friction coefficient is μ_k = 0.20. (a) Find the acceleration.
1.33 m/s²
0.67 m/s²
2.00 m/s²
3.33 m/s²
A 3 kg block on a horizontal table is pulled by a 10 N horizontal force. The kinetic friction coefficient is μ_k = 0.20. If it starts from rest, find its speed after 5 s.
v = u + at = 0 + (1.33)(5) ≈ 6.67 m/s
v = u + at = 0 + (2.00)(5) = 10.0 m/s
v = u + at = 0 + (0.67)(5) ≈ 3.33 m/s
v = u + at = 0 + (1.00)(5) = 5.00 m/s
A 2 kg block slides down a 30° incline with kinetic friction μ_k = 0.10. Find the acceleration down the slope (g = 10 m/s²).
4.13 m/s²
3.50 m/s²
5.00 m/s²
2.00 m/s²
A 25 N force acts over 6 m at 30° to the direction of motion. How much work does it do?
129.9 J
75.0 J
150.0 J
25.0 J
A 1.5 kg cart moves at 8 m/s. Find its kinetic energy.
48 J
24 J
96 J
12 J
Find the momentum of a 2 kg ball moving at 7 m/s.
p = m*v = 2*7 = 14 kg·m/s
p = m*v = 2*7 = 9 kg·m/s
p = m*v = 2*7 = 21 kg·m/s
p = m*v = 2*7 = 5 kg·m/s
A 1 kg cart moving at 5 m/s collides inelastically and sticks to a 1 kg cart at rest. (a) Find their common final speed.
2.5 m/s
1 m/s
5 m/s
0.5 m/s
A 1 kg cart moving at 5 m/s collides inelastically and sticks to a 1 kg cart at rest. Compute the loss of kinetic energy.
6.25 J
2.5 J
10 J
0 J
A 0.5 kg mass is launched by a spring (k = 200 N/m) compressed by 0.10 m on a frictionless surface. Find the launch speed.
2 m/s
1 m/s
4 m/s
0.5 m/s
A 50 kg crate is lifted straight up at a constant speed of 0.5 m/s. Find the power required (take g = 10 m/s²).
250 W
125 W
500 W
100 W
An Atwood machine has masses 4 kg and 2 kg connected by a light string over a frictionless pulley. (a) Find the acceleration.
a = (m1 - m2)g / (m1 + m2) = (4-2)*10/(4+2) = 20/6 ≈ 3.33 m/s²
a = (m1 + m2)g / (m1 - m2) = (4+2)*10/(4-2) = 60/2 = 30 m/s²
a = (m1 - m2)g / (m1 * m2) = (4-2)*10/(4*2) = 20/8 = 2.5 m/s²
a = (m1 * m2)g / (m1 + m2) = (4*2)*10/(4+2) = 80/6 ≈ 13.33 m/s²
An Atwood machine has masses 4 kg and 2 kg connected by a light string over a frictionless pulley. (b) Find the tension in the string.
T = 2g + 2a = 2*10 + 2*3.33 = 20 + 6.66 = 26.66 N
T = 4g - 2a = 4*10 - 2*3.33 = 40 - 6.66 = 33.34 N
T = 3g = 3*10 = 30 N
T = 2g - 2a = 2*10 - 2*3.33 = 20 - 6.66 = 13.34 N
A 1200 kg car speeds up from 10 to 20 m/s in 5 s. (a) Find the average net force.
2400 N
1200 N
6000 N
480 N
A 1200 kg car speeds up from 10 to 20 m/s in 5 s. (b) Find the increase in kinetic energy.
180,000 J
120,000 J
60,000 J
240,000 J
A 10 kg box rests on a horizontal floor with static friction μ_s = 0.40. (a) Find the maximum friction force before it slips.
40 N
25 N
15 N
4 N
A 10 kg box rests on a horizontal floor with static friction μ_s = 0.40. (b) Find the maximum acceleration you can give it without slipping.
4 m/s²
2 m/s²
6 m/s²
0.4 m/s²
A 0.20 kg ball is thrown vertically upward at 10 m/s. (a) Find the maximum height.
5 m
10 m
2 m
20 m
A 0.20 kg ball is thrown vertically upward at 10 m/s. (b) Find the increase in gravitational potential energy at the top.
ΔPE = mgh = 0.20*10*5 = 10 J
ΔPE = mgh = 0.20*10*10 = 20 J
ΔPE = mgh = 0.20*5*5 = 5 J
ΔPE = mgh = 0.20*9.8*2 = 3.92 J
A 0.020 kg bullet travelling at 100 m/s embeds in a 0.98 kg block on frictionless ice. Find the common final speed.
2 m/s
0.2 m/s
20 m/s
10 m/s
A car turns on a flat curve of radius 50 m. With μ_s = 0.60 between tires and road, find the maximum safe speed.
17.32 m/s
12.25 m/s
22.50 m/s
9.80 m/s
A constant force of 30 N acts for 0.20 s on a 3.0 kg cart. (a) Find the impulse.
6 N·s
1.5 N·s
0.06 N·s
150 N·s
A constant force of 30 N acts for 0.20 s on a 3.0 kg cart. (b) Find the change in speed.
2 m/s
0.5 m/s
6 m/s
3 m/s
A wheel spins at a constant 4 rad/s. How many radians does it turn in 5 s?
20 radians
9 radians
16 radians
25 radians
A disk starts from rest with angular acceleration 3 rad/s². (a) What is the angular velocity ω after 4 s? (b) What is the angle turned in that time?
(a) 12 rad/s, (b) 24 rad
(a) 6 rad/s, (b) 12 rad
(a) 9 rad/s, (b) 18 rad
(a) 15 rad/s, (b) 30 rad
A solid disk (m = 2.0 kg, r = 0.30 m). Find its moment of inertia about the center.
0.090 kg·m²
0.18 kg·m²
0.045 kg·m²
0.27 kg·m²
A 12 N force is applied perpendicular to a wrench at 0.25 m from the bolt. The torque produced is:
3 Nm
48 Nm
0.48 Nm
30 Nm
A wheel of radius 0.50 m rolls without slipping at a center speed of 2.0 m/s. What is its angular speed?
2.0 rad/s
4.0 rad/s
1.0 rad/s
0.5 rad/s
For the wheel in (5), if its angular acceleration is 2.0 rad/s² while rolling, the tangential acceleration of a rim point is:
2.0r m/s²
4.0r m/s²
0.5r m/s²
1.0r m/s²
A uniform disk with I = 0.09 kg·m² spins at 10 rad/s. What is its rotational kinetic energy?
4.5 J
9.0 J
0.45 J
0.9 J
A constant torque of 2.0 N·m turns a rotor through 5.0 rad. How much work is done by the torque?
10.0 J
2.5 J
7.0 J
1.0 J
A solid sphere (m = 1.0 kg, r = 0.20 m) rolls without slipping at 3.0 m/s. What is its total kinetic energy?
7.5 J
4.5 J
9.0 J
6.0 J
A hoop (m = 1.0 kg, r = 0.30 m) rolls without slipping at 2.0 m/s. What is its total kinetic energy?
4.0 J
2.0 J
1.2 J
3.0 J
A child (weight 30 N) sits 1.5 m to the left of a seesaw pivot. Where should an adult of weight 50 N sit on the right side to balance?
0.9 m to the right of the pivot
1.0 m to the right of the pivot
1.5 m to the right of the pivot
2.5 m to the right of the pivot
A flywheel (I = 2.0 kg·m²) slows uniformly from 20 rad/s to rest in 10 s. What is the angular acceleration?
-2.0 rad/s²
-1.5 rad/s²
-3.0 rad/s²
-4.0 rad/s²
A thin rod (L = 1.0 m, m = 2.0 kg) rotates about its center, axis perpendicular to the rod. What is its moment of inertia?
0.17 kg·m²
1.0 kg·m²
0.33 kg·m²
2.0 kg·m²
A door 0.90 m wide is pushed at the outer edge with a perpendicular force of 15 N. What is the torque about the hinges?
13.5 Nm
6.0 Nm
1.7 Nm
9.0 Nm
A wheel spins at 600 rpm at a constant rate. (a) What is this in rad/s? (b) How many revolutions does it make in 30 s?
(a) 62.8 rad/s, (b) 300 revolutions
(a) 94.2 rad/s, (b) 600 revolutions
(a) 31.4 rad/s, (b) 180 revolutions
(a) 10.5 rad/s, (b) 60 revolutions
