Ablock of mass m1 = 3.7 kg on a frictionless plane inclined at angle =30o is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.3 kg. what are (a) the magnitude of the acceleration of each block, (b) the direction of the acceleration of the hanging block, and (c) the tension in the cord?

a) 0.74m/s^2

b) going down

c) 21N

Explanation:

To have a better understanding of this problem is necessary to draw a free body diagram.

Analysing the m1 box:

and for m2:

the acceleration is negative because we assume is going downward

because the tension is the same we can substitude one formula into the other.

because the acceleration is positive the assumption was right.

The m1 block is going up and the m2 block is going down.

if we take a look of the m2 box:

d

explanation:

v=uf/(u-f)

= 5.10/(5-10) convex lens has positive focal length

=50/-5

=-10 cm (formed at other side)