\end{figure}
Calculate the magnitude of the impulse that acted on the tanker.
An object of negligible size is at rest on a horizontal surface. It explodes into two parts, P and Q , which then slide along the surface.
Part P has mass 0.4 kg and speed \(6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Part Q has mass 0.5 kg .
Calculate the speed of Q immediately after the explosion. State how the directions of motion of P and Q are related.
The explosion takes place at a distance of 0.75 m from a raised vertical edge, as shown in Fig. 1.2. P travels along a line perpendicular to this edge.
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After the explosion, P has a perfectly elastic direct collision with the raised edge and then collides again directly with Q . The collision between P and Q occurs \(\frac { 2 } { 3 } \mathrm {~s}\) after the explosion. Both collisions are instantaneous.
The contact between P and the surface is smooth but there is a constant frictional force between Q and the surface.
Show that Q has speed \(2.7 \mathrm {~ms} ^ { - 1 }\) just before P collides with it.
Calculate the coefficient of friction between Q and the surface.
Given that the coefficient of restitution between P and Q is \(\frac { 1 } { 8 }\), calculate the speed of Q immediately after its collision with P .