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4 years ago

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A stuntman is being pulled along a rough road at a constant velocity, by a cable attached to a moving truck. The cable is parall

el to the ground. The mass of the stuntman is 96.8 kg, and the coefficient of kinetic friction between the road and him is 0.882. Find the tension in the cable.

1 answer:

Rashid [163]4 years ago

3 0

Answer:

837.554256 N

Explanation:

$F_N$ = Normal force

m = Mass of stuntman = 96.8 kg

g = Acceleration due to gravity = 9.81 m/s²

$\mu$ = Coefficient of kinetic friction = 0.882

T = Tension

$f_k$ = Frictional force

In the vertical direction

$F_N-mg=0\\\Rightarrow F_N=mg\\\Rightarrow F_N=96.8\times 9.81\\\Rightarrow F_N=949.608\ N$

In the horizontal direction

$T-f_k=0\\\Rightarrow T=f_k\\\Rightarrow T=\mu F_N\\\Rightarrow T=0.882\times 949.608\\\Rightarrow T=837.554256\ N$

The tension in the cable is 837.554256 N

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