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What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 84.0 kg?

User JonnyLitt
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1 Answer

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Complete question:

The length of nylon rope from which a mountain climber is suspended has an effective force constant of 1.40 ×10⁴ N/m.

What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 84.0 kg?

Answer:

The frequency (in Hz) at which he bounce is 2.054 Hz

Step-by-step explanation:

Given;

effective force constant, K = 1.40 ×10⁴ N/m.

The total mass = his mass plus the mass of his equipment, m = 84 kg

The frequency (in Hz) at which he bounce is given by;


f = (1)/(2\pi) \sqrt{(k)/(m)}\\\\f = (1)/(2\pi) \sqrt{(1.4*10^4)/(84)}\\\\f = 2.054 \ Hz

Therefore, the frequency (in Hz) at which he bounce is 2.054 Hz

User Vy
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