Further Mechanics

Category: Further Mechanics

Momentum and 2D Collisions

1 / 10

A 20 N force is applied to a 450 g mass for 6 second and it moves 30 cm. Calculate the momentum of the mass.

6.75x10^-3 kgm^-1

2.225x10^-2 kgm^-1

1.00 kgm^-1

3.33 kgm^-1

2 / 10

The image above shows the before and after of a collision between two objects. Calculate the mass of object B.

24 g

38 g

57 g

71 g

3 / 10

A snooker player takes an aimed shot. The image above shows before and after the collision between the two snooker balls. Calculate the velocity of object C after the collision.

2.89 ms^-1

3.43 ms^-1

4.66 ms^-1

5.79 ms^-1

4 / 10

Alan the Alpaca, of mass 84 kg, sets off on a run. He picks up speed until he reaches 15 ms^-1 then Alan the Alpaca runs into a small child in a large hamster bowl, with a total mass of 32 kg. The force of the impact slows Alan the Alpaca to 9.3 ms^-1, and causes the small child in a large hamster ball to start moving. Calculate the velocity of the small child in a large hamster bowl immediately after the impact.

8.47 ms^-1

14.96 ms^-1

22.42 ms^-1

30.39 ms^-1

5 / 10

An Alpha particle collides head on with a stationary gold nucleus of mass 197u at a speed of 1x10⁶ ms^-1. This causes the gold nucleus to move at a speed of 1.31x10⁴ ms^-1. Calculate the speed of the Alpha-particle after the collision.

76 ms^-1

3.5x10⁵ ms^-1

3.7x10⁷ ms^-1

1.3x10¹⁰ ms^-1

6 / 10

The image above shows the before and after of a collision between two objects. Calculate the mass of object H.

50 g

100 g

50 kg

100 kg

7 / 10

The image above shows the before and after of a collision between two objects. Calculate the velocity of object L before the collision.

8.6x10^-3 ms^-1

0.28 ms^-1

1.22 ms^-1

3.44 ms^-1

8 / 10

If an object is stationary before impact, the final velocity of that object will be _____________.

perpendicular to the line of impact.

along the line of impact.

equal to the initial momentum of the incoming object.

half the initial momentum of the incoming object.

9 / 10

The image above shows the before and after of a collision between two objects of the same mass. Calculate the at the angle to the horizontal which object Y moves off from after the collision.

sin-1(θ/2 sin θ)

sin-1(θ sin θ)

sin-1(2θ sin θ)

sin-1(θ2 sin θ)

10 / 10

Boccia is a target ball sport which tests both muscle control and accuracy. From a seated position, players propel balls, of mass 275 g, to land as close as possible to a white marker ball, known as the Jack. The diagram above shows a player using momentum to move their teams balls closer to the Jack through multiple collisions. Using the diagram above, calculate the mass of the Jack.

10.3 g

14.9 g

19.6 g

23.6 g

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Impulse and Energy

1 / 10

A force of 35 N is exerted upon a 750 g mass for 3 seconds. Calculate the impulse.

11.67 Ns

105 Ns

250 Ns

2250 Ns

2 / 10

An Audi A8 of mass 1920 kg car is dropped from a crane, accelerates to 24 ms^-1 then hits the ground and comes to an instant halt. What impulse acts on the car when it crashes?

80 kg ms^-1

320 kg ms^-1

4.61x10⁴ kg ms^-1

3 / 10

Minamoto no Tametomo fires an arrow of mass 0.152 kg horizontally at an coconut of mass 1.4 kg that is at rest, freely, on a wall. The arrow is travelling at 91 ms^-1 just before it hits the coconut. Calculate the change in total kinetic energy of the arrow and coconut during the impact.

10 J

41 J

561 J

1245 J

4 / 10

Select the best definition for a perfectly inelastic collision.

A collision where there is no net loss of kinetic energy.

A collision in which there is a loss of kinetic energy.

A collision in which the minimum possible kinetic energy has been lost.

A collision in which the maximum possible kinetic energy has been lost.

5 / 10

A rocket takes off from a stationary position and produces a force-time graph as shown above. Calculate the impulse produced by the rocket.

0.3 Ns

4.8 Ns

300 Ns

4.8x10⁴ Ns

6 / 10

A big Tesco trolley of 31 kg is moving with speed 0.5 ms^-1 as it is blown across a car park, until it hits a little Tesco trolley of 18 kg, which is at rest. They collide and end up stuck together. Calculate the impulse.

3.2x10⁴ Ns

0.32 Ns

2.16 Ns

22.7 Ns

7 / 10

A rugby player is at training using a weighted training ball of mass 1.5 kg to improve her passing power. Calculate the force she needs to apply when she catches it from her team mate if the ball is travelling at 13.4 ms¹ if the catch is complete in 0.08 s.

1.6 N

7.8 N

20.1 N

251.2 N

8 / 10

A crash test car of 1384 kg travels at a constant velocity. It crashes directly into a wall and the sensors onboard produce the force-time graph shown above. Estimate the impulse required to stop the car.

300 Ns

960 Ns

1920 Ns

3840 Ns

9 / 10

A cricket ball was bowled by Shoaib Akhtar, the fastest bowler ever. He throws the cricket ball of 163 g and, because he's having an off day, at the slow speed of 106 kmh^-1 which strikes the bat, causing the ball to go back in the direction it came from at a speed of 85 kmh^-1. The contact time was 0.09s. Calculate the average force exerted on the ball.

3 Ns

28 Ns

132 Ns

314 Ns

10 / 10

The Rock and The Terminator are running straight at each other. The Rock has a mass of 118 kg and he runs at 8 ms^-1, where The Terminator is 19 kg lighter than The Rock, but he is a cyborg so can run at 21 ms^-1. They collide and get stuck together. Calculate the loss of kinetic energy due to the impact.

1.14 kJ

2.26 kJ

2.56 kJ

2.98 kJ

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Circular Motion

1 / 12

What is the following angle in radians: 170°

0.94 rad

1.42 rad

2.97 rad

3.14 rad

2 / 12

What is the following angle in radians: 263°

1.32 rad

1.46 rad

2.63 rad

4.59 rad

3 / 12

What is the following angle in degrees: 0.75 rad

13°

25°

50°

100°

4 / 12

Complete the sentence: “The centripetal force acts at ___ to the velocity of an object."

90°

180°

2pi rad

3pi rad

5 / 12

A crunchie of mass 40 g is whirled round on the end of a string 0.50 m long. It makes six complete revolutions each second. Calculate the tension in the string.

0.01 N

0.10 N

0.75 N

7.54 N

6 / 12

A vinyl record rotates at 45 revolutions per minute. Calculate the angular speed in radians per second.

0.75 rad s^-1

1.50 rad s^-1

2.37 rad s^-1

4.71 rad s^-1

7 / 12

Calculate the linear speed of Mars in its orbit around the sun. 1 year on Mars = 687 Earth days, Radius of Orbit_Mars ≈ 2.28x10⁸ km

9.16x10^-4 ms^-1

2.41x10⁴ ms^-1

1.45x10⁶ ms^-1

8.50x10¹⁹ ms^-1

8 / 12

A boy swings a mass on a string in a horizontal circle at 120 revolutions per minute. The length of the string is 75cm and the mass is 150g. Calculate the angular velocity of the mass.

^π/₄ rad s^-1

^π/₂ rad s^-1

2π rad s^-1

4π rad s^-1

9 / 12

An big bottle of Tango of mass 2 kg is rotated in a vertical circle on a string of length 80 cm. The string will break when the tension in it becomes 650 N. The speed of rotation is gradually increased from zero. Calculate the exact angular velocity at which the string breaks...

4.03 rad s^-1

20.16 rad s^-1

40.31 rad s^-1

406.25 rad s^-1

10 / 12

A conical pendulum consists of a mass of 600 g rotating on a string of length 55 cm. The cord makes an angle of 18° to the vertical. Calculate the tension in the string. g = 9.81 ms^-2

0.29 N

5.89 N

6.19 N

19.05 N

11 / 12

A particle of charge q, mass m is accelerated from rest through a potential difference, V and then travels through a magnetic field, B, at a right angle. It moves in a circle of radius r. Which equation represents the centripetal force on the particle in the magnetic field in terms of V.

12 / 12

A Boeing 737 is flying in a horizontal circle of radius 1.6 km, banked at 15° awaiting a landing slot at Manchester Airport. Air Traffic Control have told the pilot she needs to wait 15 minutes before the plane can land. Calculate how many complete circles she will complete before landing. g = 9.81 ms^-2

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