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ID: 1777489 • Letter: Q

Question

quest.chs.u before answering. A d that zont to s is in requ spee Th Fin tweer 001 10.0 points A box of books weighing 373 N is shoved across the floor of an apartment by a force of 623 N exerted downward at an angle of 28.3° below the horizontal. The acceleration of gravity is 9.8 N If the coefficient of kinetic friction between box and floor is 0.525, how long does it take to move the box 4.22 m, starting from rest? Answer in units of s 002 (part 1 of 2) 10.0 points Find t A student decides to move a box of books into her dormitory room by pulling on a rope at- tached to the box. She pulls with a force of The co 170 N at an angle of 26° above the horizon- 3.56 kg tal. The box has a mass of 26.3 kg, and the The coefficient of friction between box and floor is 0.258. The acceleration of gravity is 9.8 m/s2 26° 26.3 kg = 0.258 Find the acceleration of the box. What the crate vent the Answer in units of m/s

Explanation / Answer

m = 373 / 9.8 = 38.06 kg

Fx = F cos 28.3 = 623 * cos 28.3 = 548.54 N

Fy = F sin 28.3 = 295.36 N

N = 295.36 + 373 = 668.36 N

Fs = muk N  = 0.525 * 668.36 = 350.88 N

a = (548.54 - 350.88) / (38.06) = 5.19 m/s2

t = sqrt [2 s / a] = sqrt [2 * 4.22 / 5.19]

t = 1.27 s