I have a box on the floor with a stick attached to it at anangle, and I use the

Question

I have a box on the floor with a stick attached to it at anangle, and I use the stick to push the box. Suppose the forceon the box has a magnitude of F=100 N in a direction along thestick at an angle =45degrees, as shown, and the box has amass 20 kg. There is a friction, with a coefficient ofk=0.2. Will the box reach a maximum velocity? I have no idea on how to even start the problem. Itseems like they don't give enough information. I have a box on the floor with a stick attached to it at anangle, and I use the stick to push the box. Suppose the forceon the box has a magnitude of F=100 N in a direction along thestick at an angle =45degrees, as shown, and the box has amass 20 kg. There is a friction, with a coefficient ofk=0.2. Will the box reach a maximum velocity? I have no idea on how to even start the problem. Itseems like they don't give enough information.

Explanation / Answer

Fx = F.cos 45 = 100*0.7071 = 70.71 N forward. Force of fricttion, f = N = mg = 0.2x20x9.8 = 39.2N backward. Net force forward, Fx - f = 70.71 - 39.2 =31.51 N Acceleration a = 31.51/20 = 1.576 m/s2 Final velocity, v = a.t will go increasing with time (if I understand the qn correctly).              Final velocity, v = a.t will go increasing with time (if I understand the qn correctly).             

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