 ## NCEA Level 2 Physics

### Mechanics

This page is designed to test your use of the equations for standard.

Click on the Equation(s), Answer and Unit after each question to reveal the answers.

(There is a pdf of the questions on their own and with answers ).

The formulae listed in the explanatory notes to the achievement standard will be provided, plus any other required formulae(g = 9.8 ms-2(Nkg-1))

1. A 5 kg mass extends a spring by 0.50 m.  What is the spring constant of the spring?

Equation(s), Answer and Unit  98 Nm-1

2. If a rifle of mass 7 kg fires a bullet of mass 8 g at a speed 210 ms-1, what is the rifle's initial recoil velocity?

Equation(s), Answer and Unit 0.24 ms-1

3. A train of mass 5000 kg moves at a speed of 30 ms-1on a horizontal surface.  Calculate the kinetic energy of the train.

Equation(s), Answer and Unit 2.25 x 106 J

4. A resultant force of 4 N is applied to a body of mass 2 kg for 1 second.  What is the acceleration of the body?

Equation(s), Answer and Unit 2 ms-2

5. An airplane has a maximum acceleration on the ground of 3.4 ms-2.  What is the minimum length of runway needed if it is to reach its take-off speed of 110 ms-1?

Equation(s), Answer and Unit 1779 m

6. A 4 kg mass travels at 5 ms-1to the right.  It collides with a 3 kg mass travelling at 6 ms-1to the left.  After the collision, the 3 kg mass moves off to the right at 2 ms-1

Use the law of conservation of momentum to work out the final speed of the 4 kg mass.

Equation(s), Answer and Unit 1 ms-1to the left

7. A student whirls a stone around on the end of a string in a horizontal circle. The stone rotates round at 10 times each second. What is the time period of the stone’s rotation?

Equation(s), Answer and Unit 0.1 s

8. An arrow, in being fired from a bow, is accelerated over a distance of 0.40 m and leaves the bow with a velocity of 40 ms-1. What is the acceleration of the arrow while being fired?

Equation(s), Answer and Unit 2000 ms-2

9. A bullet is fired horizontally from a gun held 1.4 m above the ground on the Canterbury plains.

If the bullet leaves the gun with a velocity of 300 ms-1 at what distance from the gun will the bullet strike the ground?

Equation(s), Answer and Unit 160 m

10. A stone of mass 0.20 kg on the end of a piece of string is whirled in a horizontal circle of radius 1.0 m with a constant speed of 2.4 ms-1.

What is the tension in the string?

Equation(s), Answer and Unit 1.2 N

11. A train travelling at 10 ms-1increases its speed uniformly to 25 ms-1 in 3 s. Find its acceleration.

Equation(s), Answer and Unit 5 ms-2

12. A diving bell is lowered into the sea at a speed of 6.00 ms-1and comes to rest with uniform retardation at a distance of 20.0 m below the surface.

Calculate the time it takes to come to rest.

Equation(s), Answer and Unit 6.67 s

13. A ball is thrown upwards with an initial velocity of 30 ms-1. Find the time taken for the ball to return to its starting point

Equation(s), Answer and Unit 6.12 s

14. A heavy rubber ball of mass 0.2 kg, initially at rest, falls vertically through a height of 3.2 m on to a flat, heavy, steel plate.

Assuming negligible air resistance, calculate the speed of the ball just before impact.

Equation(s), Answer and Unit  7.9 ms-1

15. When a bullet with mass 0.015 kg travelling at 650 ms-1passes clean through a wooden block of mass 1.2 kg, initially at rest, the block moves off at 4 ms-1immediately after the bullet has passed through it.

What is the bullet's final speed?

Equation(s), Answer and Unit 330 ms-1

(Please note: There has been no attempt to show the correct number of significant figures in this exercise)

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