A person whose mass is m = 70.0 kg m=70.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle α = 22.3 ∘ α=22.3∘ with the horizontal. What is the reading on the scale?

Question

Lena Short

Physics

24 October, 21:24

A person whose mass is m = 70.0 kg m=70.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle α = 22.3 ∘ α=22.3∘ with the horizontal. What is the reading on the scale?

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Answers (1)

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Alvin Murphy · Answer 1

Answer:The reading on the scale is 64.76kg

Explanation:

According to Newton's 3rd law, when a person exerts a force on a plane, the plane simultaneously exerts a force equal in magnitude and opposite.

Given: mass=70kg, alpha = 22.3°

Mg=mg*cos alpha = 70kg * cos22.3°=

70 * 0.9252 = 64.76kg

The reading on the scale is 64.76kg