when we drop a glass on rough ground from a height it cracks while we drop a glass from a height on a cushion it doesn't cracks explain why?
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Answer:
No, it takes much more force to break an egg. The weight of an egg is the gravitational force exerted by the Earth on the egg, and is typically 0.6 newtons for an egg having a mass of 60 grams. When an egg simply rests on the floor, the floor exerts an upward force equal to and opposite that of gravity, or 0.6 newtons upward. This keeps the egg from accelerating. However, when an egg falls onto the floor, it must quickly decelerate from its falling velocity to zero. The force it experiences depends on how fast it decelerates. If an egg falls onto a soft cushion, it has a longer period of time to decelerate than when it falls onto a hard floor. After all, the egg takes significant time to compress the cushion from first contact to where the egg comes to a complete stop. Given the hard and relatively immovable floor, the available deceleration time is determined by how far the egg itself can compress. Suppose we drop an egg from a 2-meter height. With gravitational acceleration of 9.81 meters/sec/sec, it takes 0.64 seconds to fall, and it is therefore travelling at 6.26 m/s when it hits the floor. Now consider how much an egg shell can deflect before it breaks. Let us say it can sustain a deflection of 1 millimeter without breaking, but no more. Ideally, then, the egg would uniformly decelerate from 6.26 m/s to zero within that 1 millimeter. At an average speed to 3.13 m/s, the deceleration time would be 0.32 milliseconds. The deceleration rate would therefore be 6.26/0.00032 = 19,563 m/sec/sec, or about 2000 times the acceleration due to gravity. The upward force from the floor onto the egg would therefore be 2000 times the weight of the egg, or 1200 newtons. It is that force that breaks the egg. Of course the egg will not tolerate such a large force, and as a result it compresses much more than 1 millimeter, thereby taking more time to slow down and reducing the deceleration required to stop it. But of course if it has not slowed to zero by the time it compresses that first millimeter, the egg is broken.
Explanation:
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