Find the tension in the string, and the value of m, in the following question.Two particles, P and Q, of mass 2 kg and m kg respectively, are...

In the question, a body P of mass 2 kg is placed on a
table which has a horizontal frictionless surface. It is connected to one end of a
string. The string passes over a pulley at the edge of the table and on the other end
hangs a body Q with a mass m.

On releasing the bodies, they
move with an acceleration equal to 0.81 m/s^2.

The body Q
is being pulled downwards with a force equal to m*g. As g is given as 9.81, the force is
9.81*m. The force creates a tension in the string equal to m*g =
9.81*m

This tension moves the other body P which has a mass
equal to 2 kg.

Equating the acceleration of the body to the
force applied, we get the relation:

9.81*m =
2*0.81

=> m = 2*0.81 /
9.81

=> m = 0.165
kg

The body Q that is suspended freely at one
end of the string has a mass 0.165 kg. The tension in the string is equal to 1.62
N.