1.

A person at a fancy dress party is wearing a trainer on one foot and a shoe with a stiletto heel on the other! Which exerts the most pressure on the ground?

Both the same

Stiletto heel

They don't exert a pressure

Trainer

The force (person's weight) is the same on both feet but a stiletto heel has a smaller area. This is why stiletto heels can damage wooden floors

2.

A four legged table exerts a pressure of 8,000 Pa on the ground. Each leg has an area of 0.01 m^{2}. What is the weight of the table?

32 N

80 N

320 N

320 kg

Force = pressure x area = 8,000 x (4 x 0.01) = 320 N

3.

What force is needed on an area of 5 m^{2} to produce a pressure of 25 Pa?

5 N

20 N

30 N

125 N

Force = pressure x area = 25 x 5 = 125 N

4.

What has to happen to the force exerted if the area doubles but the pressure is unchanged?

The force must decrease

The force must double

The force must increase

The force must stay the same

There is a direct positive correlation between force and area if the pressure remains the same

5.

What has to happen to the force exerted over a fixed area if the pressure doubles?

The force must decrease

The force must double

The force must increase

The force must stay the same

There is a direct positive correlation between force and pressure if the area remains the same

6.

The bottom of a box has dimensions 2 m by 3 m. What is the weight of the box to produce a pressure of 20 Pa?

4 N

26 N

100 N

120 N

Area = 2 x 3 = 6 m^{2}, force = 20 x 6 = 120 N

7.

Box A has a weight of 20 N. It is put on top of box B. These two boxes exert a pressure of 60 Pa. The area box B covers is 3 m^{2}. Find weight of box B.

60 N

80 N

160 N

180 N

Force = 60 x 3 = 180 N, box A = 20 N so box B = 180-20 N

8.

What force is needed on an area of 4 m^{2} to produce a pressure of 16 Pa?

0.25 N

4 N

64 N

64 Kg

Force = pressure x area = 16 x 4 = 64 N. By the way, did you realise that you can immediately rule out the fourth option because Kg is incorrect, it should be kg (no capital letter)

9.

The bottom of a box has an area of 5 m^{2}. What is the weight of the box to produce a pressure of 20 Pa?

4 N

100 N

4 kg

100 kg

Force = 20 x 5 = 100 N. Remember weight is a force so the two kilogram answers cannot possibly be correct as kilograms are the units of mass, not force

10.

The dimensions of a ski are 8 cm x 150 cm. What is the weight of a skier standing on 2 skis to produce a pressure of 2,500 Pa?

500 N

600 N

900 N

2,400 N

Area of ski = 0.08 x 1.50 = 0.12 m^{2} x 2 (for 2 skis), force = pressure x area = 2,500 x 0.24 = 600 N

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