Sheet 01
- A bullet of mass \(100g\) is fired from a gun of mass \(20kg\) with a speed of \(50ms^{-1}\). Calculate: the recoil velocity of the gun?
Ans: \(0.25\frac{m}{s}\). - A bomb of mass \(10kg\) explodes into two equal fragments. At what angle those fragments fly apart?
Ans: \(180^{o}\). - A hunter has a machine gun that can fire \(50g\) bullet with a speed of \(300ms^{-1}\). How many bullets must the hunter fire in to the tiger in order to stop him in track?
Ans: \(40\). - A gun weighing \(4kg\) fire a bullet of \(80g\) with a velocity of \(120ms^{-1}\). With what velocity does the gun recoils?
Ans: \(2.4\frac{m}{s}\). - A car of mass \(1000kg\) travelling at \(32ms^{-1}\) dashes into rear of a truck of mass \(8000kg\) moving in the same direction with a velocity of \(4ms^{-1}\). After the collision car bounces with a velocity of \(8ms^{-1}\). What is the velocity of the truck after the impact?
Ans: \(9\frac{m}{s}\). - A machine gun of mass \(10kg\) fires \(30g\) bullets at a rate of \(10\) bullets per second with a speed of \(500ms^{-1}\). What force is required to hold the gun in position?
Ans: \(150N\). - A man weighing \(60kg\) runs along the rails with a velocity \(18kmh^{-1}\) and jumps into a car of mass \(1 quintal\) standing on the rail. Calculate: the velocity with which the car will starts travelling along rails after man steps on the car?
Ans: \(1.88\frac{m}{s}\). - A neutron of mass \(\left(1.67\times10^{-27}\right)kg\) is moving with a speed of \(10^{8}ms^{-1}\) collides with a deutron at rest and sticks with it. If, the mass of the deutron is \(\left(3.34\times10^{-27}\right)kg\), then what is the speed of the combination?
Ans: \(\left(3.33\times10^{7}\right)\frac{m}{s}\). - A body of mass \(1kg\) initially at rest explodes and breaks into \(3\) fragments of masses in the ratio \(1:1:3\). The two fragments of equal masses flyoff with a velocity \(30ms^{-1}\) each, in direction perpendicular to each other. What is the velocity of the heavier fragments?
Ans: \(14.14\frac{m}{s}\).
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