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lesantik [10]
3 years ago
12

A skier is moving down a snowy hill with an acceleration of 0.40 m/s2. The angle of the slope is 5.0∘ to the horizontal. What is

the acceleration of the same skier when she is moving down a hill with a slope of 10 ∘? Assume the coefficient of kinetic friction is the same in both cases.
Physics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

1.25377 m/s²

Explanation:

m = Mass of person

g = Acceleration due to gravity = 9.81 m/s²

\mu = Coefficient of friction

\theta = Slope

From Newton's second law

mgsin\theta-f=ma\\\Rightarrow mgsin\theta-\mu mgcos\theta=ma\\\Rightarrow \mu=\frac{gsin\theta-a}{gcos\theta}\\\Rightarrow \mu=\frac{9.81\times sin5-0.4}{9.81\times cos5}\\\Rightarrow \mu=0.04655

Applying \mu to the above equation and \theta=10^{\circ}

mgsin\theta-\mu mgcos\theta=ma\\\Rightarrow a=gsin\theta-\mu gcos\theta\\\Rightarrow a=9.81\times sin10-0.04655\times 9.81\times cos10\\\Rightarrow a=1.25377\ m/s^2

The acceleration of the same skier when she is moving down a hill is 1.25377 m/s²

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