1
1
The diagram shows the top view of a rectangular paddling pool of constant depth. The pool is filled
with sea water.
volume of the sea water in the pool is 264 m
(a) The
3.
3.
Calculate the depth of the pool.
depth = ..............................................
[3]
mass of the sea water in the pool is 2.70 × 10
(b) The
5 kg.
5 kg.
Calculate the density of the sea water. Give your answer to 3 significant figures.
density = ..............................................
[2]
(c) Calculate the pressure due to the sea water at the bottom of the pool.
pressure = ..............................................
[2]
[Total: 7]
2
The diagram shows a model car travelling at constant speed on a flat circular track.
2
The speed of the car is 0.30 m / s. In one complete revolution around the track, the car travels 3.9 m.
(a) Calculate the time taken for the car to complete one revolution around the track.
time = ..............................................
[2]
(b) On the diagram, draw and label with the letter F an arrow to show the resultant force acting
on the car.
[1]
[Total: 3]
3
5 kg lands with a speed of 62m/s,
An aeroplane of mass 2.5 × 10
on a horizontal runway
5 kg lands with a speed of 62m/s, on a horizontal runway
at time t = 0. The aeroplane decelerates uniformly as it travels along the runway in a straight line
until it reaches a speed of 6.0m/s at t = 35 s.
(a) Calculate the deceleration of the aeroplane in the 35s after it lands.
deceleration = ..............................................
[2]
3
(b) Calculate the resultant force acting on the aeroplane as it decelerates.
force = ..............................................
[2]
(c) Calculate the momentum of the aeroplane when its speed is 6.0m /s.
momentum = ..............................................
[2]
[Total: 6]
4
4
An aeroplane lands with a speed of 62m / s, on a horizontal runway at time t = 0. The aeroplane
decelerates uniformly as it travels along the runway in a straight line until it reaches a speed of
6.0m/s at t = 35 s.
At t = 35 s, the aeroplane stops decelerating and moves along the runway at a constant speed of
6.0m/s for a further 15 s.
On the diagram, sketch the shape of the graph for the distance travelled by the aeroplane along
the runway between t = 0 and t = 50 s. You are not required to calculate distance values.
[3]
[Total: 3]
5
5
State and explain which feature of a speed–time graph shows acceleration.
..................................................................................................................................................
..................................................................................................................................................
[2]
[Total: 2]
6
A car accelerates from rest at time t = 0 to its maximum speed.
The graph is the speed-time graph for the first 25s of its motion.
The mass of the car is 2300 kg.
(a) For the time between t = 0 and t = 5.0 s, determine the acceleration of the car.
acceleration = ..............................................
[2]
6
(b) For the time between t = 0 and t = 5.0, determine the resultant force acting on the car.
resultant force = ..............................................
[2]
[Total: 4]
7
7
A rocket is stationary on the launchpad. At time t = 0, the rocket engines are switched on and
exhaust gases are ejected from the nozzles of the engines. The rocket accelerates upwards.
Diagram A shows how the acceleration of the rocket varies between time t = 0 and time t = tf.
Diagram A
On diagram B, sketch a graph to show how the speed of the rocket varies between time t = 0 and
time t = tf.
Diagram B
[3]
[Total: 3]
8
All the sides of a plastic cube are 8.0 cm long. The diagram shows the cube, (not to scale).
8
The mass of the cube is 0.44 kg.
(a) Explain what is meant by mass.
...........................................................................................................................................
(b)
(i)
[1]
Calculate the density of the plastic from which the cube is made.
density = ............................................................ [2]
density of one type of oil is 850kg /m
(ii) The
3.
3.
State and explain whether the cube floats or sinks when placed in a container of this
oil.
................................................................................................................................
................................................................................................................................
[1]
(c) On the Moon, the weight of the cube is 0.70 N.
(i)
Calculate the gravitational field strength on the Moon.
gravitational field strength = .................................................. [2]
9
(ii) In a laboratory on the Moon, the plastic cube is held stationary, using a clamp, in a
3.
beaker of the oil of density 850kg /m
3.
The arrangement is shown in the diagram.
The lower face of the cube is 3.0 cm below the surface of the oil.
Use your answer to (c)(i) to calculate the pressure due to the oil on the lower face of
the cube.
pressure = ......................................................... [2]
[Total: 8]
9
Calculate the mass of an object that has a weight of 6.0 N.
mass = .............................................. kg
[3]
[Total: 3]
10 The diagram shows a collision between two blocks A and B on a smooth, horizontal surface.
10
Before the collision, block A, of mass 2.4 kg, is moving at 3.0m /s. Block B, of mass 1.2 kg, is at
rest.
After the collision, blocks A and B stick together and move with velocity v.
(a)
(i)
Calculate the momentum of block A before the collision.
momentum = ........................................ [2]
(ii) Calculate the velocity v.
velocity = .............................................. [2]
(iii) Calculate the impulse experienced by block B during the collision.
impulse = .............................................. [2]
11
(b) Suggest why the total kinetic energy of blocks A and B after the collision is less than the kinetic
energy of block A before the collision.
...........................................................................................................................................
...........................................................................................................................................
[1]
[Total: 7]
11
A metal block A, travelling in a straight line at 4.0m/s on a smooth surface, collides with a second
metal block B which is at rest. The diagram shows the two metal blocks A and B before and after
the collision.
(a) The mass of A is 3.2 kg. The mass of B is 1.6 kg.
After the collision, the velocity of A is 1.5m /s.
Calculate
(i)
the momentum of A before the collision,
momentum = ........................................ [2]
(ii) the velocity v of B after the collision.
v = ......................................... [3]
12
(b) In the collision that occurred in (a), block A and block B are in contact for 0.050 s.
Calculate the average force that is exerted on B during the collision.
average force = .......................................... [2]
(c) After the collision in (a), the total kinetic energy of the two blocks is less than the kinetic energy
of block A before the collision.
Suggest one reason for this.
...........................................................................................................................................
...........................................................................................................................................
[1]
[Total: 8]