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Worksheets

PHY 101

Total questions: 61

Worksheet time: 46mins

Name
Class
Date
1.

A particle’s position is given by s(t) = 0.5t³ + 40 (in meters). What is its acceleration at t = 10 s?

a)

15 m/s²

b)

30 m/s²

c)

50 m/s²

d)

100 m/s²

2.

A car accelerates uniformly from 60 km/h to 100 km/h in 25 s. What is its average acceleration in m/s²?

a)

0.44

b)

1.6

c)

4.0

d)

16

3.

A ball is thrown vertically upward at 15 m/s. What is its velocity after 2.0 s? (g = 10 m/s²)

a)

–5 m/s

b)

0 m/s

c)

5 m/s

d)

15 m/s

4.

A ball is thrown horizontally from a 45 m tall building and lands 24 m from the base. What was its initial speed?

a)

8 m/s

b)

12 m/s

c)

16 m/s

d)

20 m/s

5.

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)

a)

1.5 s

b)

1.79 s

c)

2.0 s

d)

3.0 s

6.

In projectile motion, total time of flight is T = 2u sinθ / g. What is the time to reach maximum height?

a)

T

b)

T/2

c)

T/4

d)

2T

7.

Maximum horizontal range of a projectile occurs when θ equals:

a)

b)

30°

c)

45°

d)

90°

8.

A vehicle moving at 64 m/s decelerates at 4 m/s² until it stops. How far does it travel?

a)

256 m

b)

512 m

c)

1024 m

d)

2048 m

9.

A car starts from rest and accelerates at 2 m/s². How long to reach 100 m/s?

a)

20 s

b)

25 s

c)

50 s

d)

100 s

10.

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?

a)

4.7 m/s²

b)

18.8 m/s²

c)

94.7 m/s²

d)

189 m/s²

11.

In uniform circular motion, the net force must be:

a)

Zero

b)

Tangential

c)

Directed toward the center

d)

Directed outward

12.

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)

a)

10 m/s

b)

17.3 m/s

c)

25 m/s

d)

30 m/s

13.

On a banked curve with no friction, the ideal speed v satisfies:

a)

v = √(rg tanθ)

b)

v = √(rg sinθ)

c)

v = rg tanθ

d)

v = √(g/r)

14.

In nonuniform circular motion, total acceleration has:

a)

Only radial component

b)

Only tangential component

c)

Both radial and tangential components

d)

Zero magnitude

15.

A wheel starts from rest with angular acceleration 3 rad/s². After 4 s, its angular speed is:

a)

3 rad/s

b)

6 rad/s

c)

9 rad/s

d)

12 rad/s

16.

The frequency of rotation is 25 Hz. What is the period?

a)

0.04 s

b)

0.25 s

c)

4 s

d)

25 s

17.

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?

a)

0.45 rad/s

b)

2 rad/s

c)

5 rad/s

d)

10 rad/s

18.

If angular acceleration is 4 rad/s², the tangential acceleration at radius 0.5 m is:

a)

1 m/s²

b)

2 m/s²

c)

4 m/s²

d)

8 m/s²

19.

A solid sphere and a hoop (same mass and radius) roll down an incline from rest. Which reaches the bottom first?

a)

Hoop

b)

Sphere

c)

Same time

d)

Depends on surface roughness

20.

Rotational inertia depends on:

a)

Mass only

b)

Shape only

c)

Axis of rotation only

d)

Mass, its distribution, and axis of rotation

21.

Torque is maximized when the force is applied:

a)

At the pivot

b)

Parallel to the lever arm

c)

Perpendicular to the lever arm

d)

At 45° to the lever arm

22.

A 10 N force is applied tangentially to a wheel of radius 0.4 m. Torque about the center is:

a)

0 N·m

b)

2 N·m

c)

4 N·m

d)

10 N·m

23.

The rotational analog of F = ma is:

a)

τ = Iα

b)

L = Iω

c)

KE = (1/2)Iω²

d)

W = τθ

24.

A disk has rotational inertia I = (1/2)MR². If mass doubles and radius halves, new I is:

a)

Same

b)

Halved

c)

Doubled

d)

Quartered

25.

A figure skater pulls her arms in, reducing rotational inertia by 40%. Her angular speed becomes:

a)

40% of original

b)

60% of original

c)

167% of original

d)

250% of original

26.

Angular momentum is conserved when:

a)

Net force = 0

b)

Net torque = 0

c)

Linear momentum = 0

d)

Kinetic energy is constant

27.

Kepler’s second law is a consequence of:

a)

Energy conservation

b)

Angular momentum conservation

c)

Newton’s third law

d)

Constant gravitational force

28.

A satellite in circular orbit has kinetic energy K. Its total mechanical energy is:

a)

K

b)

–K

c)

2K

d)

–2K

29.

“Weightlessness” in orbit occurs because:

a)

Gravity is zero

b)

Gravitational force provides the required centripetal force

c)

Mass becomes zero

d)

Normal force equals mg

30.

In vertical circular motion (ball on string), tension is least at:

a)

Bottom

b)

Top

c)

Side

d)

Same at all points

31.

A 2 kg object moves in a circle of radius 3 m at 4 m/s. Centripetal force is:

a)

5.33 N

b)

8 N

c)

10.67 N

d)

32 N

32.

If speed in circular motion doubles, centripetal acceleration:

a)

Doubles

b)

Quadruples

c)

Halves

d)

Stays the same

33.

If speed in circular motion doubles, centripetal acceleration:

a)

Doubles

b)

Quadruples

c)

Halves

d)

Stays the same

34.

A projectile is launched at 30° with speed 20 m/s. Time of flight is: (g = 10 m/s²)

a)

1 s

b)

2 s

c)

3 s

d)

4 s

35.

Range of a projectile launched at 60° equals range at:

a)

15°

b)

30°

c)

45°

d)

75°

36.

A lift accelerates upward. Apparent weight of a passenger:

a)

Equals true weight

b)

Is less than true weight

c)

Is greater than true weight

d)

Is zero

37.

Normal force on a 70 kg man in a lift accelerating upward at 2 m/s² is: (g = 10 m/s²)

a)

560 N

b)

700 N

c)

840 N

d)

1400 N

38.

Newton’s first law defines:

a)

Force

b)

Inertia

c)

Momentum

d)

Energy

39.

If a net force acts on an object, which must change?

a)

Speed

b)

Velocity

c)

Position

d)

Mass

40.

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)

a)

0 m/s²

b)

1.225 m/s²

c)

3.27 m/s²

d)

4.9 m/s²

41.

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?

a)

0.73 ms

b)

1.47 ms

c)

2.2 ms

d)

3.0 ms

42.

In the same bullet scenario, what is the average force exerted by the wood?

a)

736 N

b)

1470 N

c)

2940 N

d)

5880 N

43.

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?

a)

9.6 N

b)

10.8 N

c)

12.8 N

d)

15.6 N

44.

In an Atwood machine, m₁ = 5 kg, m₂ = 2.4 kg. What is the tension? (g = 10 m/s²)

a)

28 N

b)

32 N

c)

36 N

d)

40 N

45.

A 15 kg cart is linked to a hanging 25 kg mass (frictionless). System acceleration is:

a)

4.38 m/s²

b)

6.13 m/s²

c)

8.0 m/s²

d)

10 m/s²

46.

A 2 kg block on a smooth table is connected to a hanging 1 kg mass. Acceleration is:

a)

3.33 m/s²

b)

5 m/s²

c)

6.67 m/s²

d)

10 m/s²

47.

A ball thrown vertically upward has initial speed 15 m/s. Maximum height reached is: (g = 10)

a)

11.25 m

b)

22.5 m

c)

30 m

d)

45 m

48.

The direction of the angular velocity vector is given by:

a)

Left-hand rule

b)

Right-hand rule

c)

Direction of motion

d)

Centripetal direction

49.

For rolling without slipping, the relation between linear and angular speed is:

a)

v = rω

b)

a = rα

c)

Both A and B

d)

v = ω/r

50.

Work done by a constant torque τ over angular displacement θ (in radians) is:

a)

τθ

b)

(1/2)Iω²

c)

τ/θ

d)

51.

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?

a)

1

b)

1/2

c)

1/√2

d)

√2

52.

Gravitational force between 1000 kg and 2000 kg masses 10 m apart is: (G = 6.67×10⁻¹¹)

a)

1.33×10⁻⁶ N

b)

1.33×10⁻⁵ N

c)

1.33×10⁻⁴ N

d)

1.33×10⁻³ N

53.

In an Atwood machine, if m₁ = m₂, acceleration is:

a)

g

b)

g/2

c)

0

d)

Undefined

54.

Time of flight for a ball thrown horizontally from height H is:

a)

√(2H/g)

b)

H/g

c)

2H/g

d)

√(H/g)

55.

A car skids on a flat curve because:

a)

Static friction > required centripetal force

b)

Static friction < required centripetal force

c)

Normal force = 0

d)

Driver turned too sharply

56.

For a banked curve with no friction, which is true?

a)

N sinθ = mv²/r

b)

N cosθ = mg

c)

Both A and B

d)

f_s = μN

57.

A solid cylinder and hollow cylinder (same mass and radius) roll down an incline. Which has greater rotational inertia?

a)

Solid

b)

Hollow

c)

Same

d)

Depends on length

58.

If net torque on a rigid body is zero, then:

a)

ω = 0

b)

α = 0

c)

Angular momentum is constant

d)

Both B and C

59.

Centripetal acceleration of Earth in orbit (v = 30 km/s, r = 1.5×10¹¹ m) is approximately:

a)

0.006 m/s²

b)

0.06 m/s²

c)

6 m/s²

d)

600 m/s²

60.

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)

a)

0

b)

1.63 m/s²

c)

3.27 m/s²

d)

4.9 m/s²

61.

A ball on a string is whirled in a vertical circle. At the top, the minimum speed to maintain circular motion is:

a)

√(rg)

b)

√(2rg)

c)

rg

d)

Zero