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AlladinOne [14]
3 years ago
8

A 50-kg man is driving his snowmobile at a constant speed. The engine applies a force of 360 N and the coefficient of kinetic fr

iction between the snowmobile and the snow is 0.2. What is the mass of the snowmobile?
Physics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

134 kg

Explanation:

The snowmobile is moving at constant speed, so the acceleration is 0.

Sum of the forces in the x direction:

∑F = ma

F − 360 = 0

F = 360

Friction force equals the normal force times the coefficient of friction:

Nμ = 360

On level ground, the normal force equals the combined weight:

(m + 50)g μ = 360

m + 50 = 360 / (gμ)

m = -50 + 360 / (gμ)

m = -50 + 360 / (9.8 × 0.2)

m ≈ 134 kg

Round as needed.

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Substituting the kinetic energy of the puck for the potential energy of the spring, we have

1/2kx² = mgh

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Now we have to calculate the time passed.

Expression for rate law for first order kinetics is given by:

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where,

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Now put all the given values in above equation, we get

t=\frac{2.303}{2.47\times 10^{-2}}\log\frac{1.00}{0.600}

t=20.7\text{ years}

Therefore, the time passed in years is 20.7 years.

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3 years ago
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