1.
A particle has constant acceleration 3 m s⁻². It starts at 4 m s⁻¹. Find its velocity after 5 s. [2]
JD SCIENCE
Mechanics
Answer all questions. Show working. Answers are in a separate file on the Worksheets page — do not look at them until you have finished.
2.
It travels with u = 12 m s⁻¹, a = −2 m s⁻² for 4 s. Find the displacement. [3]
3.
A car accelerates from rest to 20 m s⁻¹ in 8 s. Find the acceleration and the distance travelled. [3]
4.
A ball is thrown vertically upwards at 14 m s⁻¹. Take g = 9.8 m s⁻². Find the time to the top and the greatest height. [4]
5.
State the difference between distance and displacement, and between speed and velocity. [3]
6.
A particle moves with v = 3t² − 4. Find the acceleration at t = 2 and the displacement from t = 0 to 2 if s(0)=0. [4]
7.
Two forces 5 N and 12 N act at right angles. Find the magnitude of the resultant. [2]
8.
Resolve a 20 N force at 30° to the horizontal into horizontal and vertical components. [3]
9.
A 3 kg particle is on a smooth horizontal surface. A 6 N force acts. Find the acceleration. [2]
10.
The same 3 kg particle is on a rough surface, μ = 0.2, g = 10. A horizontal 9 N force acts. Find the acceleration. [4]
11.
State the modelling assumptions for a particle and for a smooth surface. [2]
12.
A 4 kg block is on a plane inclined at 30°. The plane is smooth. Find the acceleration down the plane. g = 10. [3]
13.
If that plane is rough with μ = 1/√3, show that the block is in limiting equilibrium or find the acceleration. [4]
14.
Connected particles: A (2 kg) on a table, B (3 kg) hanging, string smooth, pulley light. Find the acceleration. g=10. [4]
15.
Why is the tension the same throughout a light inextensible string that passes over a smooth pulley? [2]
16.
A projectile is launched at 20 m s⁻¹ at 30° to the horizontal. g = 10. Find the time of flight on level ground and the range. [5]
17.
For that projectile, find the greatest height. [3]
18.
Find the speed of that projectile after 1 s. [3]
19.
Write the suvat equations and state when they may be used. [3]
20.
Momentum: a 2 kg trolley at 3 m s⁻¹ collides and sticks to a 1 kg trolley at rest. Find the common speed. [3]
21.
The collision lasts 0.1 s. Find the impulse on the 1 kg trolley and the mean force. [3]
22.
State the difference between elastic and inelastic collisions in terms of kinetic energy. [2]
23.
A 50 N force does work moving a box 4 m along its line of action. Find the work done. If the force is at 60° to the displacement, find the work done. [3]
24.
A 2 kg mass falls 5 m. Find the loss in GPE and the speed if all becomes KE. g=10. [3]
25.
Power: a car travels at a constant 15 m s⁻¹ against a 400 N resistance. Find the driving force and the power. [3]
26.
A moment: a uniform 4 m beam of weight 20 N is supported at each end. A 10 N weight sits 1 m from A. Find the reactions at A and B. [4]
27.
State the two conditions for equilibrium of a rigid body. [2]
28.
A particle has position r = (3t² − 2)i + (4t)j m. Find the velocity and speed at t = 1. [3]
29.
A AQA mechanics question usually tells you to take g = 9.8 or 10. Why must you state the value you use? [2]
30.
A lift of mass 800 kg accelerates upwards at 0.5 m s⁻². Find the tension in the cable. g=10. [3]
31.
A graph of v against t is a straight line from (0, 0) to (10, 15). Find the distance travelled and the acceleration. [3]
32.
Explain the difference between mass and weight, including units. [2]