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WorksheetsMotion, projectile motion and momentum - AS level
Total questions: 20
Worksheet time: 1hrs 10mins
Fig. 4.2 shows a tennis ball moving up a smooth ramp at time t = 0.
Fig. 4.3 shows a graph of velocity v against time t for this ball.
Select all the correct statements (select as many answers as you need).
The ball has constant negative acceleration
At t = 1.5 s the balls velocity is briefly 0 m/s
The object has a constant negative velocity.
At t = 1.5 s the ball is at the top of the ramp.
The final displacement of the ball in 0 m.
Fig. 4.2 shows a tennis ball moving up a smooth ramp at time t = 0.
Fig. 4.3 shows a graph of velocity v against time t for this ball.
What is the maximum distance traveled by the ball up the ramp? (answer with units).
(a)
Two cars, A and B, are travelling clockwise at constant speeds around the track shown in Fig. 16.1.
The track consists of two straight parallel sections each of length 200 m, the ends being joined by semi-circular sections of diameter 80 m.
The speed of A is 20 ms−1 and that of B is 23 ms−1.
Calculate the time for A to complete one lap of the track in seconds.
(answer to 2 sig fig, no unit needed)
(a)
Two cars, A and B, are travelling clockwise at constant speeds around the track shown in Fig. 16.1.
The track consists of two straight parallel sections each of length 200 m, the ends being joined by semi-circular sections of diameter 80 m.
The speed of A is 20 ms−1 and that of B is 23 ms−1.
How long till Car B catches Car A in seconds?
(answer to 3 sig fig, no unit needed)
(a)
A car accelerates uniformly from rest along a level road.
The effects of air resistance on the car are negligible.
The car travels 12 m in the second second of its journey.
How far does it travel in the fourth second?
28 m
35 m
48 m
64 m
A ball is thrown with an initial velocity at an angle to the horizontal.
Air resistance has negligible effect on the motion of the ball.
While it is in flight, which graph shows the correct variation of the ball's horizontal velocity v with time t?
A girl standing on a bridge throws a coin upwards with a vertical velocity of 5.0 m s−1. It hits the water below the bridge after 1.5 seconds. Assuming that the effects of air resistance are negligible, what was the initial height of the coin above the water?
1.3 m
3.5 m
7.5 m
18.5 m
An object is initially at rest. A constant force is applied to the object and it moves in a straight line with constant acceleration. After a time t, the object has displacement s and velocity v.
Which of the following will not produce a straight line graph?
A graph of v against t.
A graph of s against v.
A graph of s against t2.
A graph of v2 against s.
A car travels a distance 166 ± 2 m in a time 5.2 ± 0.1 s.
What is the best estimate of the speed of the car?
32 ± 1 m s−1
32.0 ± 2.1 m s−1
32.0 ± 0.2 m s−1
32 ± 0.999 m s−1
A ball is launched horizontally at 5 m s−1 from the end of a table. The ball is in flight for 0.4 s before it lands on the floor. The ball is now launched from the end of the same table with a horizontal velocity 10 m s−1.
What is the new time of flight of the ball?
0.2 s
0.4 s
0.5 s
0.8 s
Fig. 2.1 shows the path of a golf ball which is struck at point F on the fairway landing at point G on the green. The effect of air resistance is negligible.
The ball leaves the club at 17 m s−1 at an angle of 60° to the horizontal at time t = 0.
Calculate the speed of the ball at the highest point H of the trajectory in m s−1. (answer to 2 sig fig, no units needed).
(a)
Fig. 2.1 shows the path of a golf ball which is struck at point F on the fairway landing at point G on the green. The effect of air resistance is negligible.
The ball leaves the club at 17 m s−1 at an angle of 60° to the horizontal at time t = 0.
At t = 1.5 s the ball reaches point H. Calculate the maximum height h of the ball.
(answer to 2 sig fig, no units needed).
(a)
Fig. 2.1 shows the path of a golf ball which is struck at point F on the fairway landing at point G on the green. The effect of air resistance is negligible.
The ball leaves the club at 17 m s−1 at an angle of 60° to the horizontal at time t = 0.
At t = 1.5 s the ball reaches point H. Calculate the distance between the points F and G.
(answer to 2 sig fig, no units needed).
(a)
A sports manufacturer is testing the quality of one of their footballs.
Fig. 3.1 shows how the force F applied to a football varies with time t whilst it is being kicked horizontally. The ball is initially at rest.
Use the graph to find the maximum force applied to the ball (a) N (2 sig fig)
A sports manufacturer is testing the quality of one of their footballs.
Fig. 3.1 shows how the force F applied to a football varies with time t whilst it is being kicked horizontally. The ball is initially at rest.
Use the graph to find the time the boot is in contact with the ball (a) s.
A sports manufacturer is testing the quality of one of their footballs.
Fig. 3.1 shows how the force F applied to a football varies with time t whilst it is being kicked horizontally. The ball is initially at rest.
What feature of the graph would you use to calculate the impulse on the ball?
the gradient
the y-axis
the x-axis
the area under the line.
A sports manufacturer is testing the quality of one of their footballs.
Fig. 3.1 shows how the force F applied to a football varies with time t whilst it is being kicked horizontally. The ball is initially at rest.
The mass of the ball is 0.60 kg. Calculate the maximum acceleration of the ball. (no unit needed)
(a)
A puck of mass 0.16 kg is sliding on ice with a constant velocity of 11.0 m s−1. A hockey stick exerts a force on the puck, for a short period of time, in the opposite direction to the velocity of the puck. The momentum of the puck changes by 2.0 kg m s−1.
Ignoring friction, what is the speed of the puck when it leaves the hockey stick?
1.5 m/s
3.8 m/s
12.5 m/s
23.5 m/s
A car is driven at constant velocity until the driver sees an obstruction ahead at time t = 0. The velocity against time graph below shows the motion of the car as the driver brings it to a stop.
The thinking distance is 10 m.
What is the stopping distance for the car?
20 m
30 m
40 m
50 m
A helium atom X travelling at 610 m s−1 makes an elastic collision with a stationary helium atom Y. The magnitude of the velocity of X after the collision is 258 m s−1. The directions of the velocities of X and Y are as shown in Fig. 22.
A helium atom X travelling at 610 m s−1 makes an elastic collision with a stationary helium atom Y. The magnitude of the velocity of X after the collision is 258 m s−1. The directions of the velocities of X and Y are as shown in Fig. 22.
The mass of a helium atom is 6.64 × 10−27 kg.
Calculate the magnitude of the momentum p of Y after the collision.
(answer is standard form 2 sig fig, no units needed. Example format 1.2 x 10-10 or 1.2 x 10^10)
(a)
