Done filename-2.pdf 3. After a practical joke gone wrong, an agitated monkey fin

Question

Done filename-2.pdf 3. After a practical joke gone wrong, an agitated monkey finds himself speeding along a level road in a 9000 N cart at 35 m/s. He slams on the brakes just as the cart plows into a pile of feathers. Upon emerging from the feathers 2 seconds later, the cart is moving at 10 m/s a. Determine the acceleration of the cart while the monkey is driving through the feathers 2 5 b. Determine the mass of the cart. c. Draw an accurate free body diagram showing all the forces acting on the cart while it is driving through the feathers d.If the feathers apply a force of 5000N on the cart while the monkey is driving through them use Newton's Second Law and the rest of the information in this problem to determine the force of friction acting on the cart during that time DOoA

Explanation / Answer

3. (A) a = (vf - vi) / t

a = (10 - 35)/2

a = - 12.5 m/s^2

{ minus sign indicates that acceleration is in opposite direction of velocity }

(b) m = W / g = 918.4 kg

(d) Fnet = m a

5000 + f = 918.4(12.5)

f = 6479.6 N

2. h = v^2 / 2 g

= 20^2 / (2 x 9.8)

= 20.4 m

(B) Yes. it will clear.

PEi + KEi = PEf + KEf

m (20^2)/2 + 0 = m g (12) + mv^2 /2

v^2 = 20^2 - (2 x 9.8 x 12)

v = 12.8 m/s

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