NAME:______________________
YEAR: _____________
Pressure Worksheet
Instructions: Using the following formula P = F/A, answer the below word problems. Be
sure to show all work and write all units.
1. Calculate the pressure on a man’s foot when a woman who weighs
520 N steps on his foot with her heel which has an area of 0.001 m2
with all of her weight.
⃝ 520,000Pa
⃝ 120,000Pa
⃝ 240,000Pa
⃝ 52,000Pa
2. Calculate the pressure exerted on the floor when an elephant who
weighs 2400 N stands on one foot which has an area of 0.4 m2.
⃝ 5,000Pa
⃝ 6,000Pa
⃝ 4,000Pa
⃝ 600Pa
3. Calculate the pressure exerted on the heel of a boy’s foot if the boy
weighs 320 N and he lands on one heel which has an area of 0.16 m2.
⃝ 4,000Pa
⃝ 3,000Pa
⃝ 2,000Pa
⃝ 300Pa
4. How much must a woman weigh (force) if the pressure she exerts
while standing on one foot has an area of 0.6 m2 exerts a pressure of
16 Pa?
⃝ 10 N
⃝ 9.6 N
⃝ 12.2 N
⃝ 7.1 N
5. How much pressure will be exerted on a diver’s body which has an
area of 10 m2, if the water column above him weighs 120 000 N?
⃝ 6,000Pa
⃝ 8,000Pa
Formulae: Force= Pressure x Area
⃝ 12,000Pa
⃝ 1,200Pa
Pressure=Height x Density x Acc. Gravity Mass=Density x Volume
NAME:______________________
YEAR: _____________
6. A rectangular block of mass 25 kg measures 10 cm by 40 cm by 1,2 m.
i.
Calculate the weight of the block. (w=mass x gravity)
⃝ 250 N
⃝ 300 N
⃝ 320 N
⃝ 120 N
ii. Draw a diagram to show how the block must rest to exert the maximum pressure
on the ground.
iii.
Using what you have calculated in 6i and 6ii, calculate the maximum pressure
(in Pa) that the block can exert.
⃝ 6,000Pa
⃝ 6,250Pa
⃝ 7,000Pa
⃝ 8,200Pa
7. A hydraulic lift is shown below. Piston A has a contact area of 3,3 cm2 and B,
one of 0,66 m2. A force of 20 N acts on piston A.
20 N
?
A
B
i.
Convert the area of piston A into m2.
⃝ 0.00066 m3
ii.
⃝ 0.00033 m3
⃝ 3.3 m3
⃝ 0.66 m3
Calculate the weight that can be lifted by piston B.
⃝ 52,000Pa
⃝ 120,000Pa
Formulae: Force= Pressure x Area
⃝ 40,000Pa
⃝ 3,200Pa
Pressure=Height x Density x Acc. Gravity Mass=Density x Volume
NAME:______________________
YEAR: _____________
8. Below is a simple type of braking system. The areas of the cross-section of the small and large
cylinders are 0,0004 m2 and 0,0024 m2 respectively. The brake pedal is pushed so that the force on
the small cylinder is 90 N.
i. Calculate the pressure exerted on the brake fluid.
⃝ 350,000Pa
⃝ 200,000Pa
⃝ 225,000Pa
⃝ 92,000Pa
ii. Determine the force exerted by the large piston on the brakes.
⃝ 540 N
⃝ 200 N
⃝ 630 N
⃝ 700 N
9. The density of the water in the school’s waterpolo pool is 1000 kg/m3 and its
depth is 2,5 m. Calculate the pressure (in kPa) due to the water at the bottom
of the pool.
⃝ 42 kPa
⃝ 25 kPa
⃝ 49 kPa
⃝ 60 kPa
10. John dives into the sea at Marsascala and reaches a depth of 5 mt. What is the
pressure on John if the density of sea water is 1,025 Kg/m3 ?
⃝ 12,800 Pa
⃝ 16,600 Pa
⃝ 82,300Pa
⃝ 51,250 Pa
11. A submarine dives to a depth of 100 mt to avoid detection. What is the
pressure in KPa on the hull if the density of sea water is 1,025 Kg/m3 ?
⃝ 1,025 kPa
⃝ 2,500 kPa
Formulae: Force= Pressure x Area
⃝ 4,900 kPa
⃝ 720 kPa
Pressure=Height x Density x Acc. Gravity Mass=Density x Volume