Q5 (b)Figure 1Figure 1 shows two blocks P and Q which are connected by a lightinextensible string over a smooth pulley. P has mass 5 kg and is on a roughhorizontal surface. Q has mass M kg and hangs freely.The coefficient of friction between P and the surface is u.The system is released from rest. The blocks accelerate at 1.05 ms andthe tension in the string is 26.25 Newtons.Find the value of M and the value of u.8°300T NewtonsFigure 2Figure 2 shows a packing case of mass 25 kg on a long smooth slope whichis inclined at gº to the horizontal where tan =. The case is pulled upthe slope by a light inextensible rope which is inclined at 30° to the slope.The tension in the rope is 7 Newtons.The case accelerates from rest at 1.4 ms and when it has travelled6.3 metres the rope breaks. The case then travels for a further t secondsbefore coming to rest.Find the values of 7 and t.

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Figure 1 Figure 1 shows two blocks P and Q which are connected by a light inextensible string over a smooth pulley. P has mass 5 kg and is on a rough horizontal surface. Q has mass M kg and hangs freely. The coefficient of friction between P and the surface is u. The system is released from rest. The blocks accelerate at 1.05 ms and the tension in the string is 26.25 Newtons. Find the value of M and the value of u.

Figure 1 Figure 1 shows two blocks P and Q which are connected by a light inextensible string over a smooth pulley. P has mass 5 kg and is on a rough horizontal surface. Q has mass M kg and hangs freely. The coefficient of friction between P and the surface is u. The system is released from rest. The blocks accelerate at 1.05 ms and the tension in the string is 26.25 Newtons. Find the value of M and the value of u.

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Newton's First Law of Motion

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(b)
Figure 1
Figure 1 shows two blocks P and Q which are connected by a light
inextensible string over a smooth pulley. P has mass 5 kg and is on a rough
horizontal surface. Q has mass M kg and hangs freely.
The coefficient of friction between P and the surface is u.
The system is released from rest. The blocks accelerate at 1.05 ms and
the tension in the string is 26.25 Newtons.
Find the value of M and the value of u.
8°
300
T Newtons
Figure 2
Figure 2 shows a packing case of mass 25 kg on a long smooth slope which
is inclined at gº to the horizontal where tan =. The case is pulled up
the slope by a light inextensible rope which is inclined at 30° to the slope.
The tension in the rope is 7 Newtons.
The case accelerates from rest at 1.4 ms and when it has travelled
6.3 metres the rope breaks. The case then travels for a further t seconds
before coming to rest.
Find the values of 7 and t.

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