Space, time and motionIB Physics SL: Topic test

20 questions, 54 marks

IB Physics SL

Space, time and motion topic test

Total 54 marks

Name

Class

Date

1
A stone is thrown vertically upwards at 12.0 m s⁻¹ from the edge of a cliff. The point of release is 45 m above the surface of the sea below. Air resistance is negligible and g = 9.81 m s⁻².
(a)
What is the maximum height the stone reaches above the point it was thrown from?
[1 mark]
A7.34 m
B14.7 m
C29.4 m
D1.22 m
(b)
How long after release does the stone return to the height from which it was thrown?
[1 mark]
A1.22 s
B2.45 s
C4.89 s
D0.61 s
(c)
Determine the velocity with which the stone hits the sea.
[2 marks]
Total for question 1: 4 marks
2
A crate of mass 15.0 kg is pulled across a horizontal warehouse floor by a rope held at 25° above the horizontal, with a tension of 90 N. The coefficient of dynamic friction between the crate and the floor is 0.28, and the crate slides in a straight line.
(a)
What is the magnitude of the normal force on the crate from the floor while it is being pulled?
[1 mark]
A147 N
B185 N
C109 N
D90 N
(b)
What is the magnitude of the crate's acceleration?
[1 mark]
A5.44 m s⁻²
B2.69 m s⁻²
C1.98 m s⁻²
D3.40 m s⁻²
(c)
Determine the frictional force acting on the crate as it is pulled.
[2 marks]
Total for question 2: 4 marks
3
A car of mass 1400 kg travelling at 24.0 m s⁻¹ on a straight, level road brakes and comes to rest after travelling 60 m, decelerating uniformly.
(a)
Determine the car's deceleration and the time it takes to stop, assuming the deceleration is uniform.
[3 marks]
(b)
Determine the average braking force on the car and the magnitude of the impulse delivered to it while stopping, stating the direction of the impulse.
[4 marks]
Total for question 3: 7 marks
4
A skier of mass 65 kg starts from rest at the top of a straight slope of length 120 m, inclined at 18° to the horizontal. The coefficient of kinetic friction between the skis and the snow on the slope is 0.10. Air resistance is negligible.
(a)
Determine the speed of the skier at the bottom of the slope.
[6 marks]
(b)
At the bottom of the slope the skier continues onto level snow, where the coefficient of friction is 0.15, and decelerates uniformly to rest. Using your answer to (a), determine the distance the skier travels before stopping, the time this takes, and the average power dissipated by friction while stopping.
[6 marks]
Total for question 4: 12 marks
5
A ball is thrown horizontally at 8.0 m s⁻¹ from the top of a tower 20 m high. Air resistance is negligible and g = 9.81 m s⁻².
(a)
How long does the ball take to reach the ground?
[1 mark]
A1.63 s
B2.02 s
C0.82 s
D4.08 s
(b)
At what angle below the horizontal is the ball moving when it lands?
[1 mark]
A68.0°
B22.0°
C90°
D45°
(c)
Determine the horizontal distance from the base of the tower at which the ball lands.
[2 marks]
Total for question 5: 4 marks
6
Two ice skaters, A of mass 55.0 kg and B of mass 70.0 kg, stand at rest facing each other on frictionless ice. They push off from each other, and skater A moves away at 3.2 m s⁻¹.
(a)
What is the speed of skater B immediately after they push apart?
[1 mark]
A4.07 m s⁻¹
B3.20 m s⁻¹
C2.84 m s⁻¹
D2.51 m s⁻¹
(b)
What is the total momentum of the two skaters after they push apart?
[1 mark]
A351.8 kg m s⁻¹
B175.9 kg m s⁻¹
CZero
D175.9 kg m s⁻¹, in the direction skater A moves
(c)
Calculate the total kinetic energy gained by the two skaters as a result of pushing apart.
[2 marks]
Total for question 6: 4 marks
7
A small block is released from rest at the top of a curved, frictionless ramp of height 2.5 m. At the bottom, the block continues onto a horizontal surface where the coefficient of friction between the block and the surface is 0.20.
(a)
Using conservation of energy, determine the speed of the block at the bottom of the ramp.
[3 marks]
(b)
Using your answer to (a), determine the distance the block travels on the horizontal surface before coming to rest, and the time this takes.
[4 marks]
Total for question 7: 7 marks
8
A tow truck pulls a stalled car of mass 1200 kg up a straight slope inclined at 8° to the horizontal, using a rope. A constant resistive force of 450 N (friction and air resistance combined) acts on the car.
(a)
The car moves up the slope at a constant 6.0 m s⁻¹. Show that the tension in the tow rope is about 2.1 kN, and determine the power delivered by the tow truck's engine at this speed.
[6 marks]
(b)
Over a distance of 300 m up the slope, determine the work done by the tension, the gain in gravitational potential energy of the car, and the work done against the resistive force. Use these values to confirm that the car's kinetic energy does not change over this distance.
[6 marks]
Total for question 8: 12 marks

End of questions