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8 M 2 kg 175 cm 1.2 kg N 90 cm A block M of mass 2 kg lies on a rough horizontal surface. A piece of string connects M to another block, N, of mass 1.2 kg. The string is taut and passes over a pulley such that Nis hanging freely as shown. To model the situation, the blocks are treated as particles and the string as light and inextensible. The pulley is modelled as small and smooth. In the model, it is assumed that block M experiences a constant resistance to motion of 4.8 N. The system is released from rest with M a distance of 175 cm from the pulley and N at a height of 90 cm above the horizontal ground. (a) Draw a diagram showing the forces acting on block M. (b) Show that initially M moves with an acceleration of 2.175 m s². When block N hits the ground, it is assumed that the motion of M is not affected by the string. (c) Work out whether or not M stops before it reaches the pulley.

8 M 2 kg 175 cm 1.2 kg N 90 cm A block M of mass 2 kg lies on a rough horizontal surface. A piece of string connects M to another block, N, of mass 1.2 kg. The string is taut and passes over a pulley such that Nis hanging freely as shown. To model the situation, the blocks are treated as particles and the string as light and inextensible. The pulley is modelled as small and smooth. In the model, it is assumed that block M experiences a constant resistance to motion of 4.8 N. The system is released from rest with M a distance of 175 cm from the pulley and N at a height of 90 cm above the horizontal ground. (a) Draw a diagram showing the forces acting on block M. (b) Show that initially M moves with an acceleration of 2.175 m s². When block N hits the ground, it is assumed that the motion of M is not affected by the string. (c) Work out whether or not M stops before it reaches the pulley.

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8 M 2 kg 175 cm 1.2 kg N (d) 90 cm A block M of mass 2 kg lies on a rough horizontal surface. A piece of string connects M to another block, N, of mass 1.2 kg. The string is taut and passes over a pulley such that N is hanging freely as shown. To model the situation, the blocks are treated as particles and the string as light and inextensible. The pulley is modelled as small and smooth. In the model, it is assumed that block M experiences a constant resistance to motion of 4.8 N. The system is released from rest with Ma distance of 175 cm from the pulley and N at a height of 90 cm above the horizontal ground. (a) Draw a diagram showing the forces acting on block M. (b) Show that initially M moves with an acceleration of 2.175 m s²². When block N hits the ground, it is assumed that the motion of M is not affected by the string. (c) Work out whether or not M stops before it reaches the pulley. Describe how one limitation of the model could mean that your answer to part (c) is incorrect.
Transcribed Image Text:8 M 2 kg 175 cm 1.2 kg N (d) 90 cm A block M of mass 2 kg lies on a rough horizontal surface. A piece of string connects M to another block, N, of mass 1.2 kg. The string is taut and passes over a pulley such that N is hanging freely as shown. To model the situation, the blocks are treated as particles and the string as light and inextensible. The pulley is modelled as small and smooth. In the model, it is assumed that block M experiences a constant resistance to motion of 4.8 N. The system is released from rest with Ma distance of 175 cm from the pulley and N at a height of 90 cm above the horizontal ground. (a) Draw a diagram showing the forces acting on block M. (b) Show that initially M moves with an acceleration of 2.175 m s²². When block N hits the ground, it is assumed that the motion of M is not affected by the string. (c) Work out whether or not M stops before it reaches the pulley. Describe how one limitation of the model could mean that your answer to part (c) is incorrect.
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