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Sunny_sXe [5.5K]
3 years ago
8

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 ang

le α = 22.3 ∘ α=22.3∘ with the horizontal. What is the reading on the scale?
Physics
1 answer:
oee [108]3 years ago
8 0

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

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\begin{aligned}k &= \frac{m\, v }{x^{2}}\end{aligned}.

Substitute in the given values m = 1508\; {\rm kg}, v \approx 1.908\; {\rm m\cdot s^{-1}}, and x = 6.87\; {\rm m}:

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