# Comparing Pressure Exerted by the Same Force on Different Areas

• 1.

The same force of 1 N is applied across two surfaces of different areas, a larger one of 1 m{eq}^2 {/eq}, and a smaller one of 0.5 m{eq}^2 {/eq}. Compare the pressures experienced by the two surfaces.

• The pressure on the smaller area is larger than that on the greater area.

• The two pressure values are the same.

• Both values of pressure are negative.

• The pressure on the greater area is larger than that on the smaller area.

• 2.

Two pistons, one with an area of 0.1 m{eq}^2 {/eq} and another with an area of 1.0 m{eq}^2 {/eq} are used to apply an identical force of 2 newtons onto a piece of wood. How do you compare the pressure values experienced by the pistons?

• The piston with greater area experiences a greater pressure.

• The data is insufficient to arrive at a comparison.

• The two pistons experience identical pressure.

• The piston with smaller area experiences a greater pressure.

• 3.

A boy applies a force of 10 newtons onto a wall by pressing, first with his thumb of surface area 2 cm{eq}^2 {/eq}, and then with his whole palm of surface area 100 cm{eq}^2 {/eq}. In which case is he applying greater pressure, thumb or palm?

• Palm.

• Both apply equal pressure.

• Thumb.

• The answer cannot be determined.

• 4.

A girl of weight 40 kg walks on tiptoe across a room, while her friend of identical weight plants her size-10 shoes squarely on the floor while walking alongside. Assuming the total area of the toe-tips is only 10 cm{eq}^2 {/eq}, while that of both shoes is 200 cm{eq}^2 {/eq}, in which case is the pressure exerted on the floor greater?

• Both are identical.

• Insufficient information.

• Tip-toe.

• Shoes.

• 5.

A circus elephant has a mass of about 2000 kg. Each of its feet has a cross-sectional area of, say, 400 square inches. During an act, this elephant is required to pick itself up onto one foot, with the other three feet poised in mid-air. In which case is the pressure on the floor greater, when the elephant is standing on all four feet, or when it stands on one foot?

• On all four feet.

• On one foot.

• Both pressure values are identical.

• None of the above.

• 6.

A hydraulically driven piston is able to exert a total force of 100 newtons. Its default design gives it a cross-sectional surface area of 1 square centimeter, but a special contraption may be fitted on such that the area on which the same force is applied increases to 2 square centimeters. How do you compare the pressure values in the two cases, with and without the contraption?

• Pressure without the contraption is greater.

• Pressure with the contraption is greater.

• Pressure is independent of surface area and hence is identical in both cases.

• Insufficient information.

• 7.

Two cups of the same capacity of 100 cm{eq}^3 {/eq} are crafted with different base areas, the broad one with 30 cm{eq}^2 {/eq}, and a narrower one with 25 cm{eq}^2 {/eq}. Assuming both cups are filled with the same amount of water, which one exerts a smaller pressure on the table?

• The narrower cup.

• Both cups exert the same pressure.

• Neither cup exerts any pressure.

• 8.

A champion gymnast does a handstand during which his entire bodyweight of 60 kg is supported on an area of 100 cm{eq}^2 {/eq}. His rival, of identical bodyweight, is still standing on his two feet, of combined surface area 500 cm{eq}^2 {/eq}. Who applies greater pressure on the gymnasium floorboards?

• Both apply the same pressure.

• No pressure is being applied.

• The champion gymnast.

• The rival of the champion gymnast.

• 9.

A brand-new knife has a cutting area of approximately 10 mm{eq}^2 {/eq}, while an old blunt knife has a cutting area of 15 mm{eq}^2 {/eq}. A butcher is able to apply a constant force of 100 newtons on both knives. In which case is the pressure on the meat greater?

• Brand-new knife.

• Old blunt knife.

• There is no pressure in either case.

• Both pressure values are the same.

• 10.

A woman of mass 50 kg stands on her two feet which have a total area of 100 cm{eq}^2 {/eq}. While walking, she picks up one foot, leaving her entire weight to rest on the other foot. In which case is the pressure on the ground greater?

• When standing on both feet.

• When walking.

• There is zero pressure in both cases.

• Both walking and standing exert the same pressure.

• 11.

A boy of mass 18 kg is standing barefoot on snow. The surface area on which he rests his entire weight is 80 cm{eq}^2 {/eq}. Later, he dons his ice-skating shoes, which causes the area of contact between his feet and the snow to increase to 200 cm{eq}^2 {/eq}. Compare the pressure exerted in the two cases.

• The pressure when barefoot and when wearing skating shoes is the same.

• The pressure when wearing the skating shoes is smaller.

• The question does not have sufficient information.

• The pressure when wearing the skating shoes is greater.

• 12.

When lying on one's back, the bodyweight of an average human is distributed over a surface area of 20 square feet, whereas when lying on one's side, the same body weight is spread over 10 square feet. In which case is the pressure on the mattress less?

• The pressure on the mattress is the same in both cases.

• When lying on the back.

• When lying on the side.

• There is no pressure on the mattress.

• 13.

A sharp pencil has a tip area of a mere 0.1 mm{eq}^2 {/eq}, while a blunt pencil has a tip area of up to 1 mm{eq}^2 {/eq}. Suppose a writer exerts a downward force on the pen of 10 newtons. In which case is the pencil lead more likely to break off? Note that the lead breaks off when the pressure on it exceeds a critical value.

• The blunt pencil.

• The sharp pencil.

• Both leads will break at the same force.

• 14.

A cord is used to suspend a heavy container of cement during the construction of a house. When starting a lifting operation, the cross-sectional area of the cord is 3 square inches, but during the operation, the cord frays and the area decreases to 1 square inch. Assuming the mass of the cement container is 10 kg, in which case is the pressure on the threads in the cord greater?

• When the cord is intact.

• There is no pressure on the cord at any moment.

• Both cases experience the same pressure.

• When the cord is frayed.

• 15.

A carpenter is capable of exerting a total force of 130 N. He first presses down on a plank of wood with his bare palm of area 16 square inches, and then on a nail of tip area 0.001 square inches. In which case is the plank of wood experiencing smaller pressure?

• The pressure is zero in both cases.

• The question does not provide sufficient information.

• When the carpenter presses down with his palm.

• When the carpenter presses down on the nail.

• 16.

When driving over sandy areas in desert countries, drivers often release some air from the tyres of the car. The surface area of contact between tyre and road before releasing air is known to be 3 square inches, and after releasing air, it increases to 4 square inches. The weight of the car is constant, at 1 ton. In which case is the car applying greater pressure on the sand?

• After releasing air.

• We cannot tell based on the data available.

• Before releasing air.

• Releasing the air does not modify the pressure on the sand.

• 17.

Consider a camel and a horse, both of identical mass of 400 kilograms. The foot of a camel is designed such that during gait, the contact area with the ground is approximately 36 square inches, while in the case of the hoof of the horse, the area of contact is only about 10 square inches. Which footprint in damp soil is likely to be deeper? Hint: the greater the pressure, the deeper the footprint.

• We cannot decide based on available information.

• The horse's footprint.

• Both prints are equally deep.

• The camel's footprint.

• 18.

When trying to cross a frozen lake, it is advisable to crawl on all fours, rather than to walk right across. The typical body mass of a human male is about 65 kilograms. When crawling, the total surface area over which the weight is spread is about 100 square inches, whereas when walking on two feet, the surface area is about 15 square inches. In which case is the pressure smaller?

• Both pressure values are identical.

• Both pressure values are zero.

• When crawling.

• When walking.

• 19.

Gardeners regularly sharpen their hoes when they feel that they are not able to break soil easily. The maximum force an average gardener can exert is 100 N. With a sharp hoe, the force is applied across an area of 5 square mm, but with a blunt hoe, the force is spread over a larger area of 8 square mm. In which case is the pressure on the soil greater?

• Blunt hoe.

• Cannot decide.

• Sharp hoe.

• Both cases exert the same pressure.

• 20.

When a teacher presses on a thumbtack (of tip area 0.01 square milimeter) with a force of 20 newtons, she is able to drive it into the noticeboard easily. However, when she tries to press with the same force using the tip of her forefinger, of area 100 square milimeters, there is no noticeable effect on the noticeboard. Compare the pressure exerted in both scenarios, with thumbtack versus with forefinger.

• There is no pressure in either case.

• The pressure in both cases is the same.

• The pressure exerted on the forefinger is greater than that on the thumbtack.

• The pressure exerted on the thumbtack is greater than that on the forefinger.

• 21.

A mason uses two drilling bits, one with cross-sectional area 1 square millimeter, and a bigger one with area 1.5 square millimeter. He pushes down on the handle of the drill with the same force of 10 newtons. In which case is he more likely to make a hole in the masonry? Hint: The greater the pressure at the tip of the drill bit, the more likely he is to succeed in making the hole.

• When using the smaller drill bit

• When using the bigger drill bit

• He is equally likely to make the hole in both cases.

• Both drill bits are insufficient to make the hole

• 22.

A mechanic has resorted to a self-tapping screw to drill a hole through a piece of metal. He applies a force of 26 N on the screw, which is later measured to have a tip area of 0.01 square mm. His colleague applies the same force, onto a bolt which is documented to have a tip area of 100 square mm. Who exerts a smaller pressure on the metal?

• Both the mechanic and his colleague exert the same pressure.

• The pressure in both cases is zero.

• The mechanic.

• The colleague.

• 23.

A speeding truck hurtles into a wall with a force of 2000 Newtons during an airbag test. The surface area over which the impact is spread is documented to be 10 square meters. During the second run of the same test, the same force of impact is achieved, but the area of impact is only 5 square meters. How do you compare the pressure on the wall?

• The pressure in the second run is greater than that in the first run.

• Both pressure values are identical.

• The impact does not create any pressure on the wall.

• The pressure in the second run is smaller than that in the first run.

• 24.

In a biomechanical laboratory, indentation tests are frequently performed to assess the quality of bone. A consistent force of 5 Newtons is applied by a particular indentation machine, first using a tip of area 0.1 square millimeters, and then using a tip of area 0.2 square millimeters. In which case is the pressure on the bone greater?

• The pressure values cannot be determined.

• With the smaller indentor tip.

• With the wider indentor tip.

• Both indentors apply the same force and thus the same pressure.

• 25.

A piece of wood of mass 2 kg lies on its broadside of surface area 50 square centimeters. It is picked up by a passer-by and placed on its narrower face, of area 40 square centimeters. In which orientation is it applying greater pressure on the ground?

• When lying on its broadside.

• We cannot estimate the pressure with the information available.

• The pressure on the ground is the same in both cases.

• When placed on its narrower face.

• 26.

A coin is placed on its face of area 3 square centimeters, and later picked up and balanced on its thin side, where the contact area is only 0.01 square centimeters. The mass of the coin is about 5 grams. In which orientation is the pressure on the surface greater?

• On the thin side.

• Both pressure values are zero.

• Both pressure values are identical.

• 27.

A ceiling fan of mass 8 kg is suspended by four bolts, of total cross-sectional area 12.5 cm{eq}^2 {/eq}. After a year of use, one of the bolts breaks, leaving the entire mass to be spread across 9.4 cm{eq}^2 {/eq}. What effect does this rupture have on the pressure in the bolts?

• The pressure becomes zero.

• The pressure on each bolt increases.

• The pressure on each bolt decreases.

• The pressure becomes zero.

• 28.

Calligraphers use pens attached with nibs of various shapes and sizes. Let's assume that a broad nib has a surface area of 1 square milimeter of contact with the paper, while a narrow nib has a surface area of 0.5 square milimeter. Assuming that the calligrapher applies a constant force of 10 newtons in both cases, how do you compare the pressure on the paper?

• The pressure is larger when the nib is narrower.

• The pressure is smaller than when the nib is narrower.

• The pressure is the same in both cases.

• The question does not provide sufficient information.

• 29.

Crates of cement of mass 5 kg are being stacked up in various orientations. Sometimes they lie on their broad side, such that a total area of 0.4 square meters is in contact with the ground, and at other times, they are placed on their narrow side, such that a total area of 0.2 square meters is in contact with the ground. How does the pressure applied by the crate on the ground compare in the two cases?

• The crates do not apply any pressure on the ground, only force.

• The pressure is larger when the total area of contact is narrower.

• The pressure is smaller when the total area of contact is narrower.

• The pressure is the same, it is independent of the total area of contact.

• 30.

A lunar rover is being designed such that it can land on either three wheels or four. Its mass is 1000 kg, and the area of contact of each wheel with the ground is 20 square centimeters. In which design is the pressure on the landing apparatus greater?