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

Physics

Caroline Watson

18 December, 03:16

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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Keith Shepard · 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