Advertisements
Advertisements
प्रश्न
A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?
Advertisements
उत्तर १
Mass of girl, m = 50 kg
∴Force on the heel, F = mg = 50 x 9.8 = 490 N
Diameter, D = 1.0 cm = `1 xx 10^(-2)m`
`:. "Area A" =(piD^2)/4 = (3.14xx(1xx10^(-2))^2)/4 = 7.85 xx 10^(-5) m^2`
`:. "Pressure", P = F/A = 490/(7.85xx10^(-5)) = 6.24xx10^6 "Pa"`
उत्तर २
Mass of the girl, m = 50 kg
Diameter of the heel, d = 1 cm = 0.01 m
Radius of the heel = `r = d/2 = 0.005 m`
Area of the heel = `pir^2`
= π (0.005)2
= 7.85 × 10–5 m2
Force exerted by the heel on the floor:
F = mg
= 50 × 9.8
= 490 N
Pressure exerted by the heel on the floor:
`P = "Force"/"Area"`
`= 490/(7.85xx10^(-5))`
= 6.24 × 106 N m–2
Therefore, the pressure exerted by the heel on the horizontal floor is 6.24 × 106 Nm–2.
संबंधित प्रश्न
In problem 10.9, if 15.0 cm of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels of mercury in the two arms? (Specific gravity of mercury = 13.6)
It is easier to hammer a blunt nail into a piece of wood than a sharply pointed nail.
Name two factors on which the pressure on a surface depends.
When does a man exert more pressure on the floor: while standing or while walking?
A gum bottle rests on its base. If it is placed upside down, how does the thrust change?
The figure shows a brick of weight 2 kgf and dimensions 20 cm × 10 cm × 5 cm placed in three different positions on the ground. Find the pressure exerted by the brick in each case.
An air bubble of radius 0.2 mm is situated just below the water surface. Calculate the gauge pressure. Surface tension of water = 7.2 × 10−2 N/m.
A water tank has four taps fixed at points A, B, C, D as shown in the following figure. The water will flow out at the same pressure from taps at
Pressure is directly proportional to the area of contact.
What is an Artisan aquifer?
Intermolecular forces are stronger in ______.
Fluids in general are ______.
It is easy to compress a gas whereas liquids are ______.
The shape and size of the solids do not easily change.
Assertion (A): A sleeping mattress is so designed that when you lie on it, a large area of your body comes in its contact.
Reason (R): This reduces the pressure on the body and sleeping becomes comfortable.
Assertion (A): Wide wooden sleepers are kept below railway lines to reduce pressure on the railway tracks and prevent them from sinking into the ground.
Reason (R): Pressure is directly proportional to the area in which it is acting.
The force exerted by liquid perpendicular to the surface of the body is equal to the product of ______ at that point.
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?
A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?
