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@PK nd
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if we throw a cannon ball from a height in projectile motion and an egg from the same height in projectile motion will it land at the same time?
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"Throw" is a very vague way to state the problem. If you throw an egg with as much force as you can muster and similarly throw a cannon ball with as much force as you can muster, and you throw them both in a downwards direction, then no they will not land at the same time because you will have imparted a greater speed to the egg. If you throw them horizontally, then they will land at the same time but with the egg farther away from you. Both these statements assume you can throw them both at the same time, presumably one with the left hand and one with the right, since you have not said that you throw them at the same time, and if not, then they will land at times that depend on the time you throw them.@PK nd said:if we throw a cannon ball from a height in projectile motion and an egg from the same height in projectile motion will it land at the same time?
They would be released simultaneously , from same height , thus having same initial velocity and with equal forcephinds said:"Throw" is a very vague way to state the problem. If you throw an egg with as much force as you can muster and similarly throw a cannon ball with as much force as you can muster, and you throw them both in a downwards direction, then no they will not land at the same time because you will have imparted a greater speed to the egg. If you throw them horizontally, then they will land at the same time but with the egg farther away from you. Both these statements assume you can throw them both at the same time, presumably one with the left hand and one with the right, since you have not said that you throw them at the same time, and if not, then they will land at times that depend on the time you throw them.
My point here is that it is very important to be precise in stating problems if you want a well determined answer. A better way to state this problem is "release simultaneously". This takes care of both the initial timing problem, which you did not well define, and the initial velocity problem, which you also did not well define.
And my point was that you didn't say that in the original question. Under those conditions then they would land at the same time.@PK nd said:They would be released simultaneously , from same height , thus having same initial velocity and with equal force
@PK nd said:They would be released simultaneously , from same height , thus having same initial velocity and with equal force
No, the time of landing will not be the same if the weight of the object changes. According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Therefore, a change in weight will result in a change in acceleration and ultimately a change in the time of landing.
No, the time of landing will not be the same if the height of the drop changes. According to the law of conservation of energy, the potential energy of an object is directly proportional to its height. Therefore, a change in height will result in a change in potential energy, and ultimately a change in the time of landing.
No, the time of landing will not be the same if the surface area of the object changes. The surface area of an object affects the air resistance it experiences while falling, which in turn affects its terminal velocity. A change in terminal velocity will result in a change in the time of landing.
No, the time of landing will not be the same if the gravitational pull changes. The acceleration due to gravity (g) is different on different planets and varies with altitude. Therefore, the time of landing will be affected by the gravitational pull, which is a factor of the acceleration due to gravity.
No, the time of landing will not be the same if air resistance is taken into account. Air resistance, also known as drag, is the force that opposes the motion of an object through the air. It is affected by the shape and speed of the object. Therefore, if air resistance is taken into account, the time of landing will be different compared to disregarding it.