Two friends X and Y were going to a party and
wore heels. Heels of girl Xwere 3 inch high
and diameter of heels was 2 cm. Another girl
Y wore 4 inch high block heel having sides 4
cm x 3 cm. The mass of girl X and Yare 45 kg
and 60 kg respectively. If girl X is standing on
one foot and girl Yon both feet, the ratio of
pressure exerted by Xto Yon ground is
Answers
Answer:Given:
Heels of girl X = 3 inches
Diameter of heels = 2 cm
Mass of girl = 45 kg
Heels of girl Y = 4 inches
Sides = 4 cm x 3 cm
Mass of girl = 60 kg
To find:
Ratio of pressure exerted by X and Y on the ground.
Solution:
Pressure by X which is standing only on one foot = Force exerted/ area
= Mass* g / πr²
= 45 * 10 / (22/7)*0.01*0.01
Pressure by Y = Force / Area
= Mass *g / Area
= 60 *10/ 0.04*0.03
Since the girl Y is standing on both feet, her pressure should be halved because the area of her heels is doubled:
Pressure by Y = 2*60 *10/ 0.04*0.03
Ratio of pressure of X and Y = Pressure of X / Pressure of Y
= ((4500000*7)/22) / (6000000/2*12)
= (45*7/22) / (60/24)
=(7*45*24) / (22*60)
= (7*9*2) / 22
= 63 : 11
therefore the pressure ratio exerted by X and Y is 63:11.
Step-by-step explanation: