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All mechanics

Total questions: 104

Worksheet time: 3hrs 6mins

Name
Class
Date
1.

Which of these are required for a system to be in equilibrium?

a)

No Net force

b)

Kinetic Energy to equal the GPE

c)

Moments to be balanced

d)

It to be stationary

e)

No forces to act on the system

2.

A couple is:

a)

2 moments that cancel each other out

b)

2 moments of the same magnitude

c)

2 forces of the same size acting in opposite directions

d)

2 forces acting in the same direction

3.

Impulse is:

a)

Another name for a force

b)

The same as inertia

c)

A change in momentum

d)

always conserved

4.

Tick all the vector quantities

a)

Mass

b)

Speed

c)

Acceleration

d)

Momentum

e)

Force

5.

A cannon ball is fired directly upwards from the ground. Assuming no air resistance, which of these statements is wrong?

a)

At the peak of it's tranjectory its speed is 0m/s.

b)

It will hit the ground at the same speed it was fired upwards at.

c)

The force on it doesn't change.

d)

At the peak of its trajectory it isn't accelerating.

6.

Which statement best describes Newton's second law?

a)

If a force is applied on an object, an equal and opposite reaction force will arise

b)

Force applied is equal to the rate of change of momentum

c)

Force is inversely proportional to the resultant acceleration

d)

Force applied increases as the total collision time increases

7.

In which of these instances will the greatest force be applied?

a)

Change in momentum = 2p

Time = 3t

b)

Change in momentum = 5p

Time = 2t

c)

Change in momentum = 1p

Time = 4t

d)

Change in momentum = 6p

Time = 6t

8.

A force, F, is applied on a box of mass, m, at an angle, θ, over a distance, s. What can be used as an expression for the energy transferred to the box by force, F?

a)

Fsin⁡θs\frac{F\sin\theta}{s}  

b)

Fssin⁡θFs\sin\theta  

c)

Fscos⁡θFs\cos\theta  

d)

Fcos⁡θs\frac{F\cos\theta}{s}  

9.

The drag force on a boat is kv2, where v is the speed and k is a constant for the boat. The power provided by the engine is P. Which of the following is correct?

a)

P ∝ v

b)

P ∝ v2

c)

P ∝ v3

d)

P ∝ √v

10.

Mechanical power

a)

is a vector quantity.

b)

is measured in J.

c)

has base units of kg m2 s−3.

d)

can be calculated from force × distance moved.

11.

A pellet with velocity 200 m s−1 and mass 5.0 g is fired vertically upwards into a stationary block of mass 95.0 g. The pellet remains in the block. The impact causes the block to move vertically upwards. Which of these statements is correct?

a)

The maximum vertical displacement of the block is 100m

b)

The initial velocity of the block is 15 m/s

c)

This is an inelastic collision

d)

Momentum is not conserved in the collision

12.

What represents the area under a force - displacement graph?

a)

Final velocity

b)

Change in momentum

c)

The work done

d)

Rate of change of acceleration

13.
a)

A

b)

B

c)

C

d)

D

14.
a)

A

b)

B

c)

C

d)

D

15.
a)

A

b)

B

c)

C

d)

D

16.
a)

A

b)

B

c)

C

d)

D

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

10N

b)

12N

c)

20N

d)

40N

19.
a)

40m

b)

80m

c)

160m

d)

180m

20.
a)

8.5N

b)

10.6N

c)

14.7N

d)

24.5N

21.
a)

0.15m

b)

0.25m

c)

2.4m

d)

4.9m

22.
a)

A

b)

B

c)

C

d)

D

23.
a)

A

b)

B

c)

C

d)

D

24.
a)

A

b)

B

c)

C

d)

D

25.
a)

A

b)

B

c)

C

d)

D

26.
a)

A

b)

B

c)

C

d)

D

27.
a)

A

b)

B

c)

C

d)

D

28.
a)

A

b)

B

c)

C

d)

D

29.
a)

A

b)

B

c)

C

d)

D

30.
a)

A

b)

B

c)

C

d)

`D

31.
a)

A

b)

B

c)

C

d)

D

32.
a)

A

b)

B

c)

C

d)

D

33.
a)

A

b)

B

c)

C

d)

D

34.
a)

A

b)

B

c)

C

d)

D

35.
a)

A

b)

B

c)

C

d)

D

36.
a)

A

b)

B

c)

C

d)

D

37.
Find the magnitude of the torque produced by a 5.0 N force applied to a door at a perpendicular distance of 65 cm from the hinge.
a)
75 Nm
b)
3.25 Nm
c)
6.3 Nm
d)
8.75 Nm
38.

A uniform horizontal beam, pivoted at its right-hand end, is in equilibrium. A force of 60N acts vertically upwards on the beam as shown.

What is the weight of the beam?

a)

36N

b)

40N

c)

90N

d)

100N

39.

A uniform horizontal beam, pivoted at its right-hand end, is in equilibrium. A force of 60N acts vertically upwards on the beam as shown.

What is the weight of the beam?

a)

36N

b)

40N

c)

90N

d)

100N

40.

A beam of length 40cm is pivoted at one end. The weight of the beam is 4.0N and acts at a point 20cm from the pivot. A 2.0N weight hangs 10cm from the pivot.

An upward force U is needed to keep the beam horizontal.

What is the size of U?

a)

0.5N

b)

1.5N

c)

2.5N

d)

6.0N

41.
A car is traveling at 21.0 m/s. It slows to a stop at a constant rate over 5.00 s. How far does the car travel during those 5.00 seconds before it stops? 
a)
4.20 m
b)
52.5 m
c)
105 m
d)
158 m
42.
An object with an initial velocity of 3.50 m/s moves east along a straight and level path. The object then undergoes a constant acceleration of 1.80 m/s2 east for a period of 5.00 s. How far does the object move while it is accelerating?
a)
6.30 m
b)
17.5 m
c)
27.2 m
d)
40.0 m
43.
A ball is thrown horizontally at a height of 2.2 meters at a velocity of 65 m/s. Assume no air resistance. How long until the ball reaches the ground?
a)
0.45 s
b)
0.67 s
c)
0.22 s
d)
0.47 s
44.
A cannonball is fired at a 45.0° angle and an initial velocity of 625 m/s. Assume no air resistance. How long until the cannonball hits the ground?
a)
75.4 s
b)
45.2 s
c)
62.3 s
d)
90.2 s
45.

If the marble had a mass of 0.3kg and the hill was 2.3 m tall, how much potential energy did it have at the top of the ramp? (assume g=9.8ms^-2)

a)

2.3 J

b)

0.23 J

c)

6.8 J

d)

5.2 J

46.

A 5 Kg body is having a Kinetic energy of 250 J. What is the velocity (or speed) of the body?

a)

10 m/s

b)

15 m/s

c)

20 m/s

d)

40 m/s

47.

This graph shows the travel of a cat from his home. What is happening in the graph between 1 and 2 seconds?

a)

increasing speed

b)

decreasing speed

c)

constant speed

d)

stationary

(not moving)

48.

What is the total distance travelled by the cat in this graph?

a)

40m

b)

80m

c)

0m

d)

6m

49.

What speed is the car driving between 5 and 8 seconds?

a)

0 ms-1

b)

3 ms-1

c)

8ms-1

d)

stationary

50.

In which time period is the car decelerating

(has negative acceleration)?

a)

Between 0 and 3 seconds

b)

Between 3 and 5 seconds

c)

Between 5 and 8 seconds

d)

Between 8 and 10 seconds

51.

Which box will be stationary or moving at a constant velocity?

a)

1

b)

2

c)

3

d)

4

52.
A ball is thrown downward from the top of a roof with a speed of 25 m/s. After 2 s, its velocity will be 
a)
19.6 m/s
b)
-5.4 m/s
c)
-44.6 m/s
d)
44.6 m/s
53.
An airplane lands on a runway with a velocity of 150 m/s. How far will it travel until it stops if its rate of deceleration is constant at -3 m/s2?
a)
525 m
b)
3750 m
c)
6235 m
d)
9813 m
54.
A car is traveling at 21.0 m/s. It slows to a stop at a constant rate over 5.00 s. How far does the car travel during those 5.00 seconds before it stops? 
a)
4.20 m
b)
52.5 m
c)
105 m
d)
158 m
55.
A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12.0 m?
a)
1.3 m/s2
b)
2.5 m/s2
c)
3.0 m/s2
d)
7.5 m/s2
56.
An object with an initial velocity of 3.50 m/s moves east along a straight and level path. The object then undergoes a constant acceleration of 1.80 m/s2 east for a period of 5.00 s. How far does the object move while it is accelerating?
a)
6.30 m
b)
17.5 m
c)
27.2 m
d)
40.0 m
57.
What is happening from point D to E?
a)
The object is moving FORWARD
b)
The object is moving BACK
c)
The object is decelerating
d)
The object is NOT moving
58.
How long did it take this object to travel back to its reference/starting point?
a)
20 s
b)
30 s
c)
60 s
d)
100 s
59.
What does this graph represent?
a)
Constant Speed
b)
Acceleration
c)
Not moving
60.
What is the average velocity from 0-10 seconds?
a)
2.5 m/s away
b)
5 m/s away
c)
1 m/s away
d)
15 m/s away
61.
A ball of clay is thrown at a wall at a velocity of 28.0 m/s.  After it hits the wall, it takes 0.020 s to stop.  What is the acceleration of the clay when it hits the wall?
a)
1400 m/s2
b)
-1400 m/s2
c)
0.56 m/s2
d)
-0.56 m/s2
62.
Which graph shows the object standing still?
a)
A
b)
B
c)
C
d)
D
63.

A cyclist travelling at a speed of 4.2 m s-1 accelerates at 1.1 m s-2. In a time of 7.4 s, the distance travelled is

a)

30 m

b)

35 m

c)

61 m

d)

91 m

64.

A freely falling object on Earth has a speed of 5.0 m s-1. After falling a further 20 m, its speed it

a)

15 m s-1

b)

20 m s-1

c)

25 m s-1

d)

45 m s-1

65.

The acceleration of free fall on a certain planet is 8.0 m s-2. An object gets dropped from a height and hits the ground after 1.5 s. From what height must the object have been dropped?

a)

6.0 m

b)

9.0 m

c)

11 m

d)

12 m

66.

A ball is dropped from rest from a building 35.0 m high. If air resistance is neglected, then the ball will hit the ground with a speed of

a)

8.4 m s-1

b)

13.1 m s-1

c)

18.5 m s-1

d)

26.2 m s-1

67.

When can you not use the suvat equations?

a)

For a falling object.

b)

When acceleration is constant.

c)

When velocity is changing by a constant amount.

d)

When acceleration is changing.

68.
The graph shows
a)
deceleration
b)
constant negative acceleration
c)
a decreasing velocity
d)
all of these
69.

You toss a ball straight upward, in the positive direction. The ball falls freely under the influence of gravity.

At the highest point in the ball’s motion,

a)

its velocity is zero and its acceleration is zero.

b)

its velocity is zero and its acceleration is positive (upward).

c)

its velocity is zero and its acceleration is negative (downward).

d)

its velocity is positive (upward) and its acceleration is zero.

e)

its velocity is positive (upward) and its acceleration is zero.

70.

What is the acceleration of a ball that is dropped off the side of a cliff after 1,2,3,4,5 seconds? (use 10 m/s2 for 'g')

a)

5,10,15, 20, 25 m/s2

b)

10, 20, 30, 40, 50 m/s2

c)

5, 20, 45, 80, 125 m/s2

d)

10,10,10,10,10 m/s2

71.

What is the speed of a ball that is dropped off the side of a cliff after 1,2,3,4,5 seconds? (use 10 m/s2 for 'g')

a)

5,10,15, 20, 25 m/s

b)

10, 20, 30, 40, 50 m/s

c)

5, 20, 45, 80, 125 m/s

d)

10,10,10,10,10 m/s

72.

Juan is standing on the balcony of his hotel room, at a height of 45 meters. He accidentally drops his cell phone over the railing. How fast will the phone be traveling when it hits the ground? Ignore the effect of air resistance. (hint: how long does it take to hit the ground?)

a)

9.8 m/s (10 m/s if you round 'g' to 10 m/s2)

b)

24.9 m/s (30 m/s if you round 'g' to 10 m/s2)

c)

149.76 m/s (150 m/s if you round 'g' to 10 m/s2)

d)

46.99 m/s (50 m/s if you round 'g' to 10 m/s2)

73.
A biker with a mass of 75 kg moves along the path with a constant velocity of 5 m/s. What is the biker's momentum?
a)
25 m/s
b)
375 m/s
c)
25 kg m/s
d)
375 kg m/s
74.
A runner has a momentum of 670 kg m/s and is traveling at a velocity of 9 m/s. What is his mass?
a)
6030 kg
b)
0.0134 kg
c)
74.4 kg
d)
80 kg
75.
What is represented by the area under a force–displacement graph?
a)
rate of change of kinetic energy
b)
change in momentum
c)
work done
d)
acceleration
76.
Trolley T1, of mass 2.0 kg, collides on a horizontal surface with trolley T2, which is also of mass 2.0 kg. The collision is elastic. Before the collision T1 was moving at 4.0 m s–1 and T2 was at rest. Which one of the following statements is correct? Immediately after the collision
a)
T1 is at rest and T2 moves at 4.0 m s–1.
b)
T1 will rebound from T2 at 4.0 m s–1.
c)
T1 and T2 will both move at 2.8 m s–1.
d)
T1 and T2 will both move at 1.4 m s–1.
77.
If two objects collide and stick together, what will happen to their overall momentum?
a)
momentum will decrease
b)
momentum will increase
c)
momentum will stay the same
d)
none of the above
78.
A 9 kg blob moving at 5 m/s collides and sticks to a second blob with a mass of 5 kg. If the two bobs stick together, what will the velocity of the two blobs move at?
a)
3.57 m/s
b)
3.2 m/s
c)
10.0  m/s
d)
9.0  m/s
79.
Two football players with mass 75 kg and 100 kg run directly toward each other with speeds of 6 m/s and 8 m/s respectively. If they grab each other as they collide, the combined speed of the two players just after the collision would be:
a)
2 m/s 
b)
3.4 m/s 
c)
4.6 m/s 
d)
7.1 m/s
80.
An open cart on a level surface is rolling without frictional loss through a vertical downpour of rain. As the cart rolls, an appreciable amount of rainwater accumulates in the cart. The speed of the cart will
a)
increase because of conservation of mechanical energy
b)
decrease because of conservation of momentum
c)
decrease because of conservation of mechanical energy
d)
remain the same because the raindrops are falling perpendicular to the direction of the cart's motion
81.

Coplanar forces of 5 N, 4 N and 3 N act on an object. Which force, in N, could not possibly be the resultant of these forces?

a)

0

b)

4

c)

12

d)

16

82.

A pivoted metre rule is supported in equilibrium horizontally by a thread inclined at 30° to the vertical.


The three forces acting on the rule are:


its weight W;

the tension T in the thread;

the reaction force R at the pivot.


Which one of these diagrams, drawn to scale, represents the magnitudes and directions of these three forces?

a)
b)
c)
d)
83.

Which statement states what a vector is?

a)

It has a size but no direction

b)

It has a direction but no size

c)

It has both a size and a direction.

84.

What is the horizontal component of this vector diagram?

a)

67.2 N

b)

130 N

c)

7.6 N

d)

23.64 N

85.

The mass of the bag is 35 kg and the angle of the bag to the vertical is 30 o. Calculate the weight force acting vertically downwards.

a)

300 N

b)

343 N

c)

1298 N

d)

3430 N

86.

The mass of the bag is changed to 40 kg and the angle of the bag to the vertical is 30 o. If the weight force of the bag is 392 N, calculate the tension force in the rope which the bag hangs from.

a)

300 N

b)

339.48 N

c)

196 N

d)

226.32 N

87.

The 500 kg car is on a hill at a 120 angle. Calculate the friction force component of the weight force.

a)

4900 N

b)

4792.92 N

c)

1041.53 N

d)

1018.77 N

88.

Jason (75 kg) slides down the slide at a constant speed. The reaction force is 450 N and the friction force is 34 N. What is the size of the net force acting on Jason?

a)

735 N

b)

450 N

c)

34 N

d)

0 N

89.

A car’s engine produces a useful output power of 6.5 × 104 W


The car of mass 950 kg is moving up a hill at a steady speed. The slope of the hill is 12° to the horizontal. Resistive forces on the car are negligible.


What is the steady speed of the car?

a)

7.0 m s–1

b)

12 m s–1

c)

34 m s–1

d)

68 m s–1

90.

A mass of 2.5 kg is released from rest at X and slides down a ramp, of height 3.0 m, to point Y as shown.


When the mass reaches Y at the bottom of the ramp it has a velocity of 5.0 m s–1.


What is the average frictional force between the mass and the ramp?

a)

8.5 N

b)

10.6 N

c)

14.7 N

d)

24.5 N

91.

A car exerts a driving force of 500 N when travelling at a constant speed of 72 km h–1 on a level track. What is the work done in 5 minutes?

a)

3.0 × 106 J

b)

2.0 × 106 J

c)

2.0 × 105 J

d)

1.1 × 105 J

92.

An electric motor of input power 100 W raises a mass of 10 kg vertically at a steady speed of 0.5 m s–1. What is the efficiency of the system?

a)

5%

b)

12%

c)

50%

d)

100%

93.

Two ice skaters, initially at rest and in contact, push apart from each other.


Which line, A to D, in the table states correctly the change in the total momentum and the total kinetic energy of the two skaters?

a)

A

b)

B

c)

C

d)

D

94.
How much time is needed to produce 720 Joules of work if 90 watts of power is used? 
a)

0.125 s

b)

8 s

c)

64800 s

d)

80 s

95.

A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is done?

a)

50J

b)

50W

c)

500J

d)

500W

96.

It would take an unbalanced force to cause an object to accelerate from rest

a)

true

b)

false

97.
Parkour Peter bends his knees upon landing in order to ____
a)
reduce his change in momentum
b)
increase his change in momentum
c)
increasing his landing time
d)
increasing his landing force
98.

If there is a big mass, it would need a stronger force to accelerate it. Which law does this describe?

a)

3rd law

b)

1st law

c)

2nd law

99.
According to Newton’s first law of motion, a moving object that is not acted on by an unbalanced force will
a)
remain in motion.
b)
eventually come to a stop.
c)
change its momentum.
d)
accelerate.
100.
This person bought coffee and put it on the seat next to them. If they stopped quickly and the coffee spilled which law would that represent?
a)
Newton's 1st Law
b)
Newton's 2nd Law
c)
Newton's 3rd Law
101.
What law?
a)
1st
b)
2nd
c)
3rd
102.
In the picture, the vehicle will move because of...
a)
Newton's 1st Law
b)
Newton's 2nd Law
c)
Newton's 3rd Law
d)
Newton's 9th Law
103.

Which free body diagram is correct for a car being pulled at a constant velocity?

a)

A

b)

B

c)

C

d)

D

e)

E

104.
Calculate the net force acting upon the object.
a)
4 N northwest
b)
11.7 N northwest
c)
46.0 N west
d)
8 N southeast

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