Question

K HW 24 Fundamental Problem 13.2 2of3 Part A If motor M exerts a force of F (10t2 +100) N on the cable, where t is in seconds determine the velocity of the 23-kg crate when t4s. The coefficients of static and kinetic friction between the crate and the plane are μ,-0.3 and μk :025, respectively. The crate is nitially at rest. (Figure 1) Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 14.7m Submit X Incorrect; Try Again; 5 attempts remaining Provide Feedback Next > 17

Answer 1

Kinetic function force = mu_k m_f = 0.25 times 23.38 = 56.35 N since it is less than 100N, so from second, create will stand moving so not force Cauchy at time t is 10t^2 + 100 - 56.35 F = 10t^2 + 43.65 m. dv/dt = 10t^2 + 43-65 m.integral^v_0 dv = integral^4_0 (10 t + 43.65)dt m middot v = (10 t^3/3 + 43.65 t)^4_0 m middot v = 213.3 + 174.6 v = 387.9/23 v = 16.86 m/s