Assume the width of an ice skate is reduced by sharpening to 0.025 cm and the length of the ice skate is 15 cm. Assuming the ice skater weighs 70.0 kg, calculate the pressure that the skater exerts on the ice if they are balanced on a single skate. Assume the acceleration due to gravity is g=9.81m/s^2.

Question

Bobo

Physics

28 August, 04:45

Assume the width of an ice skate is reduced by sharpening to 0.025 cm and the length of the ice skate is 15 cm. Assuming the ice skater weighs 70.0 kg, calculate the pressure that the skater exerts on the ice if they are balanced on a single skate. Assume the acceleration due to gravity is g=9.81m/s^2.

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Answers (1)

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Maddox Merritt · Answer 1

The pressure that the skater exerts on ice if they are balanced on a single skate is P = 18,312 * 10⁶ Pa = 180.72 atm.

Explanation:

width = 0.025cm = 2.5 * 10⁻⁴ m

lenght = 15 cm = 0.15m

m = 70 kg

g = 9.81 m/s²

S = width * lenght

S = 3.75 * 10⁻⁵ m²

F = m*g

F = 686.7 N

P = F/S

P = 18.312 * 10⁶ Pa = 180.72 atm