PHYSICS 0654
Test
FORCES AND MOTION
STUDENT
CLASS
DATE
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 1 of 8
KEY NOTES
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“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 2 of 8
1. A rocket, initially at rest on the ground, accelerates vertically.
It accelerates uniformly until it reaches a speed of 900 m / s after 30 s.
After this period of uniform acceleration, the rocket engine cuts out. During the next 90 s,
the upward speed of the rocket decreases uniformly to zero.
(a) On Fig. 4.1, plot a speed-time graph for the rocket for the first 120 s of its flight
(b) Using the graph,
(i) calculate the acceleration during the first 30 s,
acceleration = ..................................................[2]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 3 of 8
(ii) determine the height reached by the rocket after 120 s.
height reached = ..................................................[2]
[Total: 8]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 4 of 8
2. The rocket shown in Fig. 2.1 is about to be launched.
The total mass of the rocket and its full load of fuel is 2.8 × 106 kg. The constant
force provided by the rocket’s motors is 3.2 × 107 N.
(a) Calculate
(i) the total weight of the rocket and the fuel,
weight = ........................................................ [1]
(ii) the resultant force acting on the rocket,
resultant force = ........................................................ [2]
(iii) the vertical acceleration of the rocket immediately after lift-off.
acceleration = ........................................................ [2]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 5 of 8
(b) Suggest why the acceleration of the rocket increases as it rises above the Earth’s
surface.
..................................................................................................................................................
..................................................................................................................................................
............................................................................................................................................. [1]
[Total: 6]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 6 of 8
3. Fig. 2.1 shows a uniform, rectangular slab of concrete ABCD standing upright on the
ground. The slab has height 0.60 m, width 0.30 m and mass 18 kg. A force of 40 N
acts horizontally to the left at B.
(a)
(i) Calculate the weight W of the concrete slab.
W = ........................................................ [1]
(ii) The thickness of the slab is 0.040 m.
Calculate the density of the slab and pressure exerted by the slab on the ground.
density = ........................................................ [1]
pressure = ........................................................ [1]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 7 of 8
(b)
(i) On Fig. 2.1, draw and label an arrow to show the weight W of the slab acting at its
centre of mass. [1]
(ii) Calculate
1. the moment of the 40 N force about point D,
moment = ........................................................
2. the moment of W about point D.
moment = ........................................................ [3]
(iii) The ground is rough so that the slab does not slide.
State and explain what happens to the slab as the horizontal force at B is gradually
increased.
...........................................................................................................................................
...........................................................................................................................................
.......................................................................................................................................[2]
[Total: 9]
“The whole purpose of education is to turn mirrors into windows”
- Sydney J. Harris
Page 8 of 8