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A fast moving bullet when hits the windo...

A fast moving bullet when hits the window pane makes a round hole while a stone strikes and shatters it, why ?

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A clean hole is made in a glass window pane when it is struck by a bullet fired from a gun. Whereas, the same window pane will be broken to pieces when struck by a stone of a similar size. Explain this phenomenon quoting the relevant principles.

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As you travel from Iraq towards IIT Guwahati, after a long time you find yourselves on a mountain trail in Tehran, Iran. The mountain trail is difficult and slippery. You suddenly get caught in a landslide and fall into a deep hole. Then the stones of 2 kg weight start falling onto you from above. The hole is a 4x4 grid i.e., it is divided into 16 squares. Each square can accommodate only one stone (of any weight). To survive, you need at least one empty square. Owl notices your trouble and gives you the magical power to meld together stones, but only those of the same mass can be mould together. Since the stones are falling very fast, you are only able to push the stones in straight lines (horizontally/vertical- ly). For example, when the arrangement of one of the rows in figure 1 when pushed horizontally to left trans- forms as shown: What is the largest stone that you can make if every second, either 2kg stone or 4 kg stones fall?

As you travel from Iraq towards IIT Guwahati, after a long time you find yourselves on a mountain trail in Tehran, Iran. The mountain trail is difficult and slippery. You suddenly get caught in a landslide and fall into a deep hole. Then the stones of 2 kg weight start falling onto you from above. The hole is a 4x4 grid i.e., it is divided into 16 squares. Each square can accommodate only one stone (of any weight). To survive, you need at least one empty square. Owl notices your trouble and gives you the magical power to meld together stones, but only those of the same mass can be mould together. Since the stones are falling very fast, you are only able to push the stones in straight lines (horizontally/vertical- ly). For example, when the arrangement of one of the rows in figure 1 when pushed horizontally to left trans- forms as shown: If one stone falls every second, what is the maximum time for which you can survive i.e., when no square is empty and all stones become immovable?

The Indian coast guard, while patrolling, saw a suspicious boat with people. They were nowhere looking like fishermen. The coast guard were closely observing the movement of the boat for an opportunity to seize the boat. They observed that the boat is moving along a planar surface. At an instant of time, the coordinates of the position of the coast guard helicopter and the boat is (1, 3, 5) and (2, 5, 3) respectively. Based on the above answer the following: If the coast guard decides to shoot the boat at that given instant of time, when the speed of bullet is 36m/sec, then what is the time taken for the bullet to travel and hit the boat?

A boy is standing on a cart moving along x -axis with the speed of 10 m//s . When the cart reaches the origin he throws a stone in the horizontal x-y plane, with the speed of 5 m//s with respect to himself at an angle theta with the x -axis. It is found that the stone hits a ball lying at rest at a point whose co-ordinates are (sqrt(3)m, 1m) . The value of theta=40^(@)xxC is (gravitational effect is to be ignored). Find the value of C .

A stone when thrown on a glass window smashes the window pane to pieces , but a bullet from the gun passes through making a clean hole. Why ?