If the duty cycle is repeated indefinitely, determine the suitable size of a continuously rated motor for the duty cycle.

March 20, 2026Physics

ScanSolve AI Answer

March 20, 2026

Answer

$\frac{1}{2} k x^{2}$

Given: $m = 2.0 \, \mathrm{kg}$ , $k = 500 \, \mathrm{N/m}$ , $x = 0.10 \, \mathrm{m}$ , $\mu_k = 0.20$ , $g = 9.8 \, \mathrm{m/s^2}$ .

Part (1): Speed when spring returns to equilibrium length

Step 1: Initial elastic potential energy.

U_{i} = \frac{1}{2} k x^{2}

U_{i} = \frac{1}{2} (500 \, N/m) (0.10 \, m)^{2} = 2.5 \, J

Step 2: Kinetic friction force.

f_k = \mu_k m g = (0.20)(2.0 \, \

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Quick Answer

Given: m = 2.0 \, kg, k = 500 \, N/m, x = 0.10 \, m, _k = 0.20, g = 9.8 \, m/s^2.

Asked on March 20, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on March 20, 2026

Given: m = 2.0 \, kg, k = 500 \, N/m, x = 0.10 \, m, _k = 0.20, g = 9.8 \, m/s^2. Part (1): Speed when spring returns to equilibrium length Step 1: Initial elastic potential energy. U_i = (1)/(2) k x^2 U_i = (1)/(2) (500 \, N/m) (0.10 \, m)^2 = 2.5 \, J Step 2: Kinetic friction force. f_k = _k m g = (0.20)(2.0 \, \