Solving Projectile Motion Using Energy Video Lessons

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Problem: A 2.8-kg block slides over the smooth, icy hill shown in the figure. The top of the hill is horizontal and 70 m higher than its base.What minimum speed must the block have at the base of the 70-m hill to pass over the pit at the far (righthand) side of that hill?

FREE Expert Solution

We'll use the kinematic equation:

y=v0t-12gt2

Consider the conservation of energy:

U=K

The block is starting from rest, so v= 0

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Problem Details

A 2.8-kg block slides over the smooth, icy hill shown in the figure.

The figure shows a rectangular block sliding horizontally on the ground towards a hill. The top of the hill is 120 meters to the right from the block and 70 meters above the base of the hill. There is a pit on the hill to the right from the top of the hill. Its right edge is 40 meters from the top of the hill and 50 meters above the top of the hill.

 The top of the hill is horizontal and 70 m higher than its base.

What minimum speed must the block have at the base of the 70-m hill to pass over the pit at the far (righthand) side of that hill?

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Based on our data, we think this problem is relevant for Professor Crosson's class at UNM.