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As mechanics question

A ball, P, of mass 0.4 kg rests on a rough horizontal table and is attached to one end of a thin rope. The rope passes over a pulley which is fixed at the edge of the table. The other end of the rope is attached to another ball, Q, of mass M kg which hangs freely below the pulley, as shown in Figure 1.

The system is released from rest with the rope taut and with Q at a height of 2 m above the ground and Q moves downwards with acceleration 2.5 m s–2. In the subsequent motion P does not reach the pulley before Q reaches the ground.

The balls are modelled as particles, the rope as a light and inextensible string and the pulley as being small and smooth. The total resistance to the motion of P is modelled as having constant magnitude 1.5 N. The acceleration due to gravity is modelled as being 10 m s–2.

Using this model, find, to 2 significant figures,

(a) (i) the tension in the rope,
(ii) the value of M,

(b) the time, after release, for Q to hit the ground.


(c) State one limitation of the model which will affect the accuracy of your answer to part (a).

Does anyone know how to do this?
Original post by Sjskdisjkdfh
A ball, P, of mass 0.4 kg rests on a rough horizontal table and is attached to one end of a thin rope. The rope passes over a pulley which is fixed at the edge of the table. The other end of the rope is attached to another ball, Q, of mass M kg which hangs freely below the pulley, as shown in Figure 1.
The system is released from rest with the rope taut and with Q at a height of 2 m above the ground and Q moves downwards with acceleration 2.5 m s–2. In the subsequent motion P does not reach the pulley before Q reaches the ground.
The balls are modelled as particles, the rope as a light and inextensible string and the pulley as being small and smooth. The total resistance to the motion of P is modelled as having constant magnitude 1.5 N. The acceleration due to gravity is modelled as being 10 m s–2.
Using this model, find, to 2 significant figures,
(a) (i) the tension in the rope,
(ii) the value of M,
(b) the time, after release, for Q to hit the ground.
(c) State one limitation of the model which will affect the accuracy of your answer to part (a).
Does anyone know how to do this?

To start you off, you know the mass and acceleration of P, which enables you to use Newton's second law of motion to find the net force acting on P. Have a go and post your working if stuck.

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