WorksheetsPHY 101
Total questions: 61
Worksheet time: 46mins
A particle’s position is given by s(t) = 0.5t³ + 40 (in meters). What is its acceleration at t = 10 s?
15 m/s²
30 m/s²
50 m/s²
100 m/s²
A car accelerates uniformly from 60 km/h to 100 km/h in 25 s. What is its average acceleration in m/s²?
0.44
1.6
4.0
16
A ball is thrown vertically upward at 15 m/s. What is its velocity after 2.0 s? (g = 10 m/s²)
–5 m/s
0 m/s
5 m/s
15 m/s
A ball is thrown horizontally from a 45 m tall building and lands 24 m from the base. What was its initial speed?
8 m/s
12 m/s
16 m/s
20 m/s
A ball is thrown downward at 8.0 m/s from a 30.0 m height. When does it strike the ground? (g = 10 m/s²)
1.5 s
1.79 s
2.0 s
3.0 s
In projectile motion, total time of flight is T = 2u sinθ / g. What is the time to reach maximum height?
T
T/2
T/4
2T
Maximum horizontal range of a projectile occurs when θ equals:
0°
30°
45°
90°
A vehicle moving at 64 m/s decelerates at 4 m/s² until it stops. How far does it travel?
256 m
512 m
1024 m
2048 m
A car starts from rest and accelerates at 2 m/s². How long to reach 100 m/s?
20 s
25 s
50 s
100 s
A 150 g ball revolves in a horizontal circle of radius 0.60 m, making 2.00 revolutions per second. What is its centripetal acceleration?
4.7 m/s²
18.8 m/s²
94.7 m/s²
189 m/s²
In uniform circular motion, the net force must be:
Zero
Tangential
Directed toward the center
Directed outward
A car rounds a flat curve of radius 50 m. If μ_s = 0.6, what is the maximum safe speed? (g = 10 m/s²)
10 m/s
17.3 m/s
25 m/s
30 m/s
On a banked curve with no friction, the ideal speed v satisfies:
v = √(rg tanθ)
v = √(rg sinθ)
v = rg tanθ
v = √(g/r)
In nonuniform circular motion, total acceleration has:
Only radial component
Only tangential component
Both radial and tangential components
Zero magnitude
A wheel starts from rest with angular acceleration 3 rad/s². After 4 s, its angular speed is:
3 rad/s
6 rad/s
9 rad/s
12 rad/s
The frequency of rotation is 25 Hz. What is the period?
0.04 s
0.25 s
4 s
25 s
A point on a rotating disk is 0.3 m from the center and has linear speed 1.5 m/s. What is its angular speed?
0.45 rad/s
2 rad/s
5 rad/s
10 rad/s
If angular acceleration is 4 rad/s², the tangential acceleration at radius 0.5 m is:
1 m/s²
2 m/s²
4 m/s²
8 m/s²
A solid sphere and a hoop (same mass and radius) roll down an incline from rest. Which reaches the bottom first?
Hoop
Sphere
Same time
Depends on surface roughness
Rotational inertia depends on:
Mass only
Shape only
Axis of rotation only
Mass, its distribution, and axis of rotation
Torque is maximized when the force is applied:
At the pivot
Parallel to the lever arm
Perpendicular to the lever arm
At 45° to the lever arm
A 10 N force is applied tangentially to a wheel of radius 0.4 m. Torque about the center is:
0 N·m
2 N·m
4 N·m
10 N·m
The rotational analog of F = ma is:
τ = Iα
L = Iω
KE = (1/2)Iω²
W = τθ
A disk has rotational inertia I = (1/2)MR². If mass doubles and radius halves, new I is:
Same
Halved
Doubled
Quartered
A figure skater pulls her arms in, reducing rotational inertia by 40%. Her angular speed becomes:
40% of original
60% of original
167% of original
250% of original
Angular momentum is conserved when:
Net force = 0
Net torque = 0
Linear momentum = 0
Kinetic energy is constant
Kepler’s second law is a consequence of:
Energy conservation
Angular momentum conservation
Newton’s third law
Constant gravitational force
A satellite in circular orbit has kinetic energy K. Its total mechanical energy is:
K
–K
2K
–2K
“Weightlessness” in orbit occurs because:
Gravity is zero
Gravitational force provides the required centripetal force
Mass becomes zero
Normal force equals mg
In vertical circular motion (ball on string), tension is least at:
Bottom
Top
Side
Same at all points
A 2 kg object moves in a circle of radius 3 m at 4 m/s. Centripetal force is:
5.33 N
8 N
10.67 N
32 N
If speed in circular motion doubles, centripetal acceleration:
Doubles
Quadruples
Halves
Stays the same
If speed in circular motion doubles, centripetal acceleration:
Doubles
Quadruples
Halves
Stays the same
A projectile is launched at 30° with speed 20 m/s. Time of flight is: (g = 10 m/s²)
1 s
2 s
3 s
4 s
Range of a projectile launched at 60° equals range at:
15°
30°
45°
75°
A lift accelerates upward. Apparent weight of a passenger:
Equals true weight
Is less than true weight
Is greater than true weight
Is zero
Normal force on a 70 kg man in a lift accelerating upward at 2 m/s² is: (g = 10 m/s²)
560 N
700 N
840 N
1400 N
Newton’s first law defines:
Force
Inertia
Momentum
Energy
If a net force acts on an object, which must change?
Speed
Velocity
Position
Mass
Two masses (21 kg and 15 kg) are connected over a frictionless pulley on a 30° incline. What is the acceleration of the 21 kg mass down the slope? (g = 9.8 m/s²)
0 m/s²
1.225 m/s²
3.27 m/s²
4.9 m/s²
A bullet (1.8 g) penetrates 0.11 m into wood at 300 m/s and stops uniformly. How long does it take to stop?
0.73 ms
1.47 ms
2.2 ms
3.0 ms
In the same bullet scenario, what is the average force exerted by the wood?
736 N
1470 N
2940 N
5880 N
A 300 g mass hangs above a 900 g mass. If the system accelerates upward at 0.7 m/s², what is the upper string tension?
9.6 N
10.8 N
12.8 N
15.6 N
In an Atwood machine, m₁ = 5 kg, m₂ = 2.4 kg. What is the tension? (g = 10 m/s²)
28 N
32 N
36 N
40 N
A 15 kg cart is linked to a hanging 25 kg mass (frictionless). System acceleration is:
4.38 m/s²
6.13 m/s²
8.0 m/s²
10 m/s²
A 2 kg block on a smooth table is connected to a hanging 1 kg mass. Acceleration is:
3.33 m/s²
5 m/s²
6.67 m/s²
10 m/s²
A ball thrown vertically upward has initial speed 15 m/s. Maximum height reached is: (g = 10)
11.25 m
22.5 m
30 m
45 m
The direction of the angular velocity vector is given by:
Left-hand rule
Right-hand rule
Direction of motion
Centripetal direction
For rolling without slipping, the relation between linear and angular speed is:
v = rω
a = rα
Both A and B
v = ω/r
Work done by a constant torque τ over angular displacement θ (in radians) is:
τθ
(1/2)Iω²
τ/θ
Iα
A satellite orbits Earth at a height equal to Earth’s radius. Its orbital speed is what fraction of the escape speed at Earth’s surface?
1
1/2
1/√2
√2
Gravitational force between 1000 kg and 2000 kg masses 10 m apart is: (G = 6.67×10⁻¹¹)
1.33×10⁻⁶ N
1.33×10⁻⁵ N
1.33×10⁻⁴ N
1.33×10⁻³ N
In an Atwood machine, if m₁ = m₂, acceleration is:
g
g/2
0
Undefined
Time of flight for a ball thrown horizontally from height H is:
√(2H/g)
H/g
2H/g
√(H/g)
A car skids on a flat curve because:
Static friction > required centripetal force
Static friction < required centripetal force
Normal force = 0
Driver turned too sharply
For a banked curve with no friction, which is true?
N sinθ = mv²/r
N cosθ = mg
Both A and B
f_s = μN
A solid cylinder and hollow cylinder (same mass and radius) roll down an incline. Which has greater rotational inertia?
Solid
Hollow
Same
Depends on length
If net torque on a rigid body is zero, then:
ω = 0
α = 0
Angular momentum is constant
Both B and C
Centripetal acceleration of Earth in orbit (v = 30 km/s, r = 1.5×10¹¹ m) is approximately:
0.006 m/s²
0.06 m/s²
6 m/s²
600 m/s²
A 21 kg mass on a 30° incline is connected to a 15 kg hanging mass. The system accelerates such that the 21 kg mass moves down. What is the acceleration? (g = 9.8)
0
1.63 m/s²
3.27 m/s²
4.9 m/s²
A ball on a string is whirled in a vertical circle. At the top, the minimum speed to maintain circular motion is:
√(rg)
√(2rg)
rg
Zero
