A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 $c m^{2}$ , stands on a floor. An elephant weighing 2000 kgf stands on foot each of area of cross section 25 $c m^{2}$ , on the floor. Compare the pressure exerted by them.

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Solution

Given,
Weight of girl $F = 50 k g f = 500 N$
Heel of area of cross-section $= 1 c m^{2}$
Area of cross-section of both heels $= 1 \times 2 = 2 c m^{2}$
Weighing of elephant $= 2000 k g f = 20000 N$
Area of cross-section of each foot $= 25 c m^{2}$
Area of cross-section all foots $= 25 \times 4 = 100 c m^{2}$

Pressure exerted by girl $P_{g i r l} = \frac{F_{g i r l}}{A r e a} = \frac{500}{2} = 250 N / c m^{2}$ ......... (1)

Pressure exerted by elephant $P_{e l e p h a n t} = \frac{F_{e l e p h a n t}}{A r e a} = \frac{20000}{100} = 200 N / c m^{2}$ ........(2)

On comparing above two-equation, Girl will apply more pressure on the ground.

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Similar questions

Q. A girl weighing 50 kg is standing on a pencil heels. Each having an area of cross-section 1cm². An elephant weighing 200 kg and foot area of cross-section of 250 cm² standing on the floor. Which of the two exerts more pressure on the floor? (Given acceleration due to gravity = 10 m/s²)

An elephant weighing 40,000 N stands on one foot of area 1000 $c m^{2}$ whereas a girl weighing 400 N is standing on one 'stiletto' heel of area 1 $c m^{2}$ .

(a) Which of the two, elephant or girl, exerts a larger force on the ground and by how much ?
(b) What pressure is exerted on the ground by the elephant standing on one foot ?
(c) What pressure is exerted on the ground by the girl standing on one heel ?
(d) Which of the two exerts larger pressure on the ground : elephant or girl ?
(e) What is the ratio of pressure exerted by the girl to the pressure exerted by the elephant ?

Q. What is the pressure exerted by a woman weighing

500 N

standing on one heel of area of

1 c m^{2}

Q. A girl weighing 25 kg stands on the floor. She exerts a downward force of 250 N on the floor. What force does the floor exert on her?

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A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 cm2, stands on a floor. An elephant weighing 2000 kgf stands on foot each of area of cross section 25 cm2, on the floor. Compare the pressure exerted by them.

A girl weighing 50 kgf wears sandals of pencil heel of area of cross section 1 $c m^{2}$ , stands on a floor. An elephant weighing 2000 kgf stands on foot each of area of cross section 25 $c m^{2}$ , on the floor. Compare the pressure exerted by them.