We are doing a lab to study \"conservation of energy andprojectile motion.\" In

Question

We are doing a lab to study "conservation of energy andprojectile motion." In this lab, we will be working with apendulum. We will release the ball at a starting height(h1) and then at a given (h2) a mechanismmounted at the edge of the bench will release the ball (refer tothe figure below), making the ball move then in a free projectilemotion landing on the floor a distance R (range) from the launchpoint. a) Suppose the apparatus in the laboratory is set up so thatthe ball is released from a height of 40cm above the table top. Thehot wire cuts the Saran Wrap (this is the wrap we will stick to theball so that the ball is released into a projectile motion bycutting the wrap at a height h2) 10 cm above the table.The table is 100 cm above the floor. The experiment is performed onthe Earth and then repeated exactly on the Moon. In which case doyou find the greater range? Justify your answer.

Explanation / Answer

We will find the same range on earth as well as moon because , as range = (horizontal velocity)*(time of drop) where velocity = sqrt(2g(h1-h2) and time = sqrt(2*h2/g) we get range = 2*sqrt(h2(h1-h2) which is independent of gravity.

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