1 (a) A loose uniform wooden floorboard weighs 160 N and rests symmetrically on four supports P,

Q, R and S.

The supports are 0.50 m apart, as shown in Fig. 2.1.

floorboard

P Q R S
support
0.20 m 0.50 m 0.25 m

160 N

Fig. 2.1

Calculate the force exerted on the floorboard by each of the supports, and state the direction
of these forces. One value is already given for you.

force exerted by P = ...............................................................

40 N
force exerted by Q = ...............................................................

force exerted by R = ...............................................................

force exerted by S = ...............................................................

direction = ......................................................... [2]

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(b) A workman of weight W stands on the end of the floorboard described in (a).

This just causes the floorboard to tip up, as shown in Fig. 2.2.

The supports are each 0.060 m thick.

P Q R S

0.060 m 160 N
W

Fig. 2.2

(i) Calculate the weight W of the workman.

weight W = ......................................................... [3]

(ii) Calculate the force that each of the supports now exerts on the floorboard.

force exerted by P = ...............................................................

force exerted by Q = ...............................................................

force exerted by R = ...............................................................

force exerted by S = ......................................................... [2]

[Total: 7]

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2 (a) In an accident, a truck goes off the road and into a ditch. Two breakdown vehicles A and
B are used to pull the truck out of the ditch, as shown in Fig. 4.1.

road

45°
A

B breakdown
vehicles

ditch

Fig. 4.1

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 At one point in the rescue operation, breakdown vehicle A is exerting a force of 4000 N
and breakdown vehicle B is exerting a force of 2000 N.

(i) Using a scale of 1 cm = 500 N, make a scale drawing to show the resultant force on
the truck.

[4]

(ii) Use your diagram to find the magnitude and direction of the resultant force on the
truck.

magnitude of resultant force = ......................................................

direction of resultant force = ............................... to direction of road [2]

(b) (i) State why the resultant force is an example of a vector quantity.

............................................................................................................................ [1]

(ii) Give an example of a vector quantity that is not a force.

............................................................................................................................ [1]

[Total: 8]

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3 A student investigated the stretching of a spring by hanging various weights from it and
measuring the corresponding extensions. The results are shown below.

weight / N 0 1

extension / mm 0 21 40 51 82 103

(a) On Fig. 3.1, plot the points from these results. Do not draw a line through the points yet.
[2]

120

100

extension / mm

80

60

40

20

0
0 1 2 3
weight / N

Fig. 3.1

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 (b) The student appears to have made an error in recording one of the results.

Which result is this?

.................................................................................................................................... [1]

(c) Ignoring the incorrect result, draw the best straight line through the remaining points.
[1]

(d) State and explain whether this spring is obeying Hooke’s Law.

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

.................................................................................................................................... [2]

(e) Describe how the graph might be shaped if the student continued to add several more
weights to the spring.

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

.................................................................................................................................... [1]

(f) The student estimates that if he hangs a 45 N load on the spring, the extension will be
920 mm.

Explain why this estimate may be unrealistic.

..........................................................................................................................................

..........................................................................................................................................

..........................................................................................................................................

.................................................................................................................................... [1]

[Total: 8]

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4 (a) A force acting on an object causes the object to accelerate.

In which direction is the acceleration?

................................................. [1]

(b) Any object moving in a circle has a force acting on it towards the centre of the circle.

What does this force do to the object?

.................................................................................................................................... [1]

(c) A woman of mass 60 kg is standing in a lift at a shopping centre.

(i) The lift is at rest.

1. State the value of the weight of the woman.

................................................. [1]

2. State the value of the force exerted on the woman by the floor of the lift.

............................................................................................................................ [1]

(ii) Calculate the force required to accelerate a mass of 60 kg at 2.5 m / s2.

force = ................................................ [2]

(iii) The lift accelerates upwards at 2.5 m / s2.

Calculate the force exerted on the woman by the floor when the lift is accelerating.

force = ................................................ [1]

(iv) The lift reaches a steady upward speed.

State the value of the force exerted on the woman by the floor at this steady
speed.

............................................................................................................................ [1]

[Total: 8]

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