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March 1, 2015

March 1, 2015

Posted by **Anonymous** on Wednesday, May 5, 2010 at 3:39am.

1b) how large is the force with which the block pulls on the donkey?

1c) how large is the normal force?

1d) what is the force that the donkey of mass M,applies on the incline?

1e) if the rope that ties the box to the donkey is cut, what will the acceleration of the box be?

- science -
**drwls**, Wednesday, May 5, 2010 at 8:18am1a) The equation you will need to solve this problem is F = ma.

The "F" part of the equation is the net force, which is the sum of the force applied by the donkey (F1), the weight component up the hill (F2) and the friction force (F3).

F = F1 - F2 - F3 = m a

= 100 kg*0.2 m/s^2 = 20 N

F2 = m g sin30 = 980 * (0.5) = 490 N

The friction force is

F3 = m g cos 30*Uk = 255 N

where Uk is the kinetic friction coefficient. 0.3 in this case.

Solve for F1.

1b) Think: Newton's Third law.

1c) mg cos 30

1d) M is now the donkey's mass. It applies both a normal force (M g sin 30) and a friction force (M a - F1) to the incline. They don't tell you the value of M

1e) a = [m g sin 30 - m g cos 30 Uk]/m

= g(0.5 - 0.26) = ___

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