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Exploring Rotational Dynamics Quiz

Total questions: 47

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

A force of 10 N is applied perpendicularly to a wrench at a distance of 0.5 m from the pivot point. What is the torque applied to the wrench?

a)

5 N·m

b)

10 N·m

c)

15 N·m

d)

20 N·m

2.

A solid sphere and a hollow sphere of the same mass and radius are rotating about an axis through their centers. Which one has a greater moment of inertia?

a)

Solid sphere

b)

Hollow sphere

c)

Both have the same moment of inertia

d)

It depends on the material of the spheres

3.

If a torque of 8 N·m is applied to a wheel with a moment of inertia of 2 kg·m², what is the angular acceleration of the wheel?

a)

2 rad/s²

b)

4 rad/s²

c)

6 rad/s²

d)

8 rad/s²

4.

Which of the following statements is true about torque?

a)

Torque is a scalar quantity.

b)

Torque is the product of force and lever arm.

c)

Torque is independent of the angle at which force is applied.

d)

Torque is always in the direction of the applied force.

5.

A disk and a ring, both with the same mass and radius, are rolling down an incline without slipping. Which one will reach the bottom first?

a)

The disk

b)

The ring

c)

Both will reach at the same time

d)

It depends on the angle of the incline

6.

A 2 kg mass is rotating on a circular path of radius 0.8 m with angular velocity of 44 rad/s. If the radius of the path becomes 1m, then the angular velocity will be ........

a)

8.12 rad/s

b)

19.28 rad/s

c)

28.16 rad/s

d)

35.26 rad/s

7.

A disc of mass 2 kg and radius 20 cm is free rotate about an axis through its centre and perpendicular to the disc. If a force of 50 N is applied tangentially to the disc, then the angular acceleration is.......

a)

250 rad/s2

b)

25 rad/s2

c)

2.5 rad/s2

d)

0.25 rad/s2

8.

Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m2.

a)

12 kg.m^2

b)

3 kg.m^2

c)

6 kg.m^2

d)

9 kg.m^2

9.
The speed of light (c) =
a)
3 x 108 miles/hour
b)
3 x 108 meters/second
c)
3 x 108 kilometers/hour
d)
none of these
10.
A postulate is something that is accepted as true at the beginning of a logical article.
a)
True
b)
False
11.
How many postulates are there in the special theory of relativity?
a)
1
b)
2
c)
3
d)
4
12.
The speed of light is constant in all frames of reference.
a)
True
b)
False
13.
A particle with a lifetime of 2.0 × 10^–6 s moves through the laboratory with a speed of 0.9 c. Its lifetime, as measured by an observer in the laboratory, is
a)
2.0 × 10^–6 s
b)
3.2 × 10^–6 s
c)
4.6 × 10^–6 s
d)
5.4 × 10^–6 s
e)
6.3 × 106–6 s
14.

How long is a plank of wood at rest if its length when moving at 0.995c is 2.00 m?

a)

.19974 m

b)

20.0447 m

c)

20.19974 m

d)

0.0447 m

15.

An observer notices that a clock moving with a speed of 0.650c advances 2.00 seconds. How much time elapses on the identical clock at rest?

a)

1.52 seconds

b)

2.97 seconds

c)

2.63 seconds

d)

2.00 seconds

16.

A rocket leaves Earth and travels to a star that is 10 light years (one light year equals 9.46E15 meters) as seen by the Earth. The speed of the rocket is 0.8c relative to the Earth. The time for the trip as measured on Earth is

a)

25 years

b)

20 years

c)

16 years

d)

12 years

17.
What does the relativity of simultaneity say?
a)
Two events may occur at the same time in one reference frame, but not another.
b)
If two events occur at the same time in one reference frame, they will occur at the same time in all reference frames.
18.

A student is travelling at 0.7 c to a distant planet that is stationary relative to earth. They caculate the journey based on their speed and travel distance and find that the journey was 14 lightyears (8.23E18 miles). What distance is the journey from the perspective of the students friends and family back on earth.

a)

19.6 Ly

b)

20.5 Ly

c)

30.9 Ly

d)

36.5 Ly

19.

A student traveling at 0.7c has a spaceship which is 250 meters long according to his measurement, how long would the ship have appeared to an observer back on earth.

a)

178.5 m

b)

153.2 m

c)

139.6 m

d)

85.6 m

20.

state the first assumption of special relativity:

a)
The laws of physics are the same for all non-accelerating observers, regardless of their relative motion.
b)
The laws of physics are the same for all observers, regardless of their relative motion
c)
The laws of physics only apply to accelerating observers
d)
The laws of physics are different for all non-accelerating observers
21.

The transfer of energy through molecules in direct contact is ...

a)

Heat

b)

Conduction

c)

Convection

d)

Radiation

22.
The flow of energy that occurs when a warm liquid or gas rises ..
a)
Heat
b)
Conduction
c)
Convection
d)
Radiation
23.
The transfer of energy by electromagnetic waves.
a)
Heat
b)
Conduction
c)
Convection
d)
Radiation
24.
The movement of thermal energy from a region of _________________ temperature to a region of _____________________ temperature is called heat.
a)
higher, lower
b)
cooler, warmer
c)
lower, higher
d)
medium, medium
25.

Calculate the amount of heat energy in Joules absorbed by a piece of copper of mass 0.5 g if its specific heat capacity is 0.390 J/g °\degree C and it goes from 22 °\degree C to 122 °\degree C. q = mcΔTq\ =\ mc\Delta T

26.

Heat is ...

a)

a form of energy

b)

a transfer of energy

c)

a measure of internal energy

d)

fake news

27.
A 300g piece of aluminum at 100 oC is placed in a 150g of H2O at 200 oC. The final temp. of the mix is 35 oC. What is the specific heat of the aluminum if the specific heat of the water is 4180 J/kgK?
a)
22415 J
b)
22415 g
c)
32415 J
d)
32415 g
28.
How much heat is absorbed when 355g of water goes from 25-45 degrees Celsius? The specific heat of water is 4180 J/kg.K 
a)
21945 J
b)
21945 g
c)
29678 J
d)
29678 g
29.
What is 0oC in Kelvin?
a)
110 K
b)
100 K
c)
273 K
d)
210 K
30.

What is the SI unit for measuring temperature?

a)

Kelvin

b)

Celsius

c)

Fahrenheit

d)

the metric system

31.

The equation of S.H.M. is y = a sin (2πnt + α), then its phase at time t is:

a)

2πnt

b)

α

c)

2πnt+α

d)

2πt

32.

.......... is the time needed to complete one cycle.

a)

period

b)

displacement

c)

frequency

d)

amplitude

33.

.......... is the number complete cycles in unit time

a)

oscillation

b)

frequency

c)

displacement

d)

period

34.

What property of the wave is represented by the letter "B"?

a)

amplitude

b)

crest

c)

trough

d)

wavelenght

35.
A mass-spring system is set into simple harmonic motion. Which graph shows the variation of the acceleration, a, of the mass with its displacement, x? 
a)
A
b)
B
c)
C
d)
D
36.
The diagram shows a velocity-time graph for a mass moving up and down on the end of a spring. Which point represents the velocity of the mass when at the lowest point of its motion? 
a)
A
b)
B
c)
C
d)
D
37.
A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it down 10 cm and releasing it. The time for M to travel back to the equilibrium position for the first time is 0.50 s. Which row, A to D, in the table is correct for these oscillations? 
a)
A
b)
B
c)
C
d)
D
38.
An object oscillating in simple harmonic motion has a time period T. The first graph shows how its displacement varies with time. Which of the subsequent graphs, A to D, show how the kinetic energy, Ek, of the object varies with time? 
a)
A
b)
B
c)
C
d)
D
39.
The period of vertical oscillation of a mass-spring system is T when the spring carries a mass of 1.00 kg. What mass should be added to the 1.00 kg if the period is to be increased to 1.50 T ? 
a)
0.25 kg 
b)
1.00 kg 
c)
1.25 kg 
d)
2.00 kg 
40.
A body moves with simple harmonic motion of amplitude 0.90 m and period 8.9 s. What is the speed of the body when its displacement is 0.70 m? 
a)
0.11 m s–1 
b)
0.22 m s–1 
c)
0.40 m s–1 
d)
0.80 m s–1 
41.
Which graph, A to D, shows the variation of the kinetic energy, Ek, with displacement x for a particle performing simple harmonic motion? 
a)
A
b)
B
c)
C
d)
D
42.
The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled? 
a)
the time period  
b)
the total energy
c)
 the maximum velocity 
d)
the maximum acceleration
43.
The time period of a pendulum on Earth is 1.0 s. What would be the period of a pendulum of the same length on a planet with half the density but twice the radius of Earth? 
a)
0.5s  
b)
1.0s
c)
1.4s
d)
2.0s
44.

The highest point of a transverse wave (point A) is called a...

a)

Summit

b)

Trough

c)

Crest

d)

Peak

45.

Which letter arrow represents the 'Wavelength' of a the wave?

a)

A

b)

B

c)

C

d)

D

46.

What direction do particles move in a longitudinal wave?

a)

Perpendicular to the direction the wave is moving

b)

Parallel to the direction the wave is moving

c)

The particles do not move

d)

The particles move freely in random directions

47.

The lowest point of a transverse wave (point D) is called a...

a)

Summit

b)

Trough

c)

Crest

d)

Peak

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