A 6.4 kg block (m1) is placed on a 30 degree inclined plane. The block is connected to a mass (m2) by a string that passes over a frictionless pulley at the top of the incline. Mass m2 hangs vertically from the string. The coefficients of friction for the block and the plane are: ms = 0.4 and mk = 0.3. If m2 has 1.2 kg and the system is released from rest, what is the acceleration?

a. Draw a free body diagram for each mass.

b. Determine the horizontal (mgx) and vertical (mgy) components of the block m1’s weight.

mgx = mgy =

c. Determine the normal force (FN) of block m1.

d. Determine the acceleration of the system.

d) physical means can be used to separate the components of air.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

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