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You drop a ski glove from a height $h$ onto fresh snow, and it sinks to a depth $d$ before coming to rest. (a) In terms of $g$ and $h$ what is the speed of the glove when it reaches the snow? (b) Whatare the magnitude and direction of the glove's acceleration as it moves through the snow, assuming it to be constant? Give your answer in terms of $g, h,$ and $d .$

(a) $v=\sqrt{2 g h}$(b) $a=\frac{g h}{d}$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

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So in this problem, we have a glow of falling to the ground and then slowing down through this new. Okay, the first part of the movement, we have a glove falling from rest, Which means initial velocity zero until hit is no. So the first item we want to discover what's the finer speed before heating this? No. So since this is our free, falling free falling motion, we just need to use the equation for a velocity. The height I forget to mention was h uh, this is going to be vv zero square. The less too g age because this is the distance between the ground and the point There was dropped G is desolation of gravity. So the initial velocity zero, then the final velocity. It's just going to be two g age square route. Okay, so this is the answer to the first item. Then next, the second item we need to discover what was the direction and the magnitude of the acceleration of the glove Fruit is no. So we know that they snow, that's sports in the Here they snow is decelerating the glove. So since there's no this snow is decelerating, the Grove we can use. She has a new show, velocity off to G age Because was the final velocity off the first part of the movement? Ah, final velocity now zero because the globe stop a difference in position off the and, well that's used this immigration. We have V Square because v zero square Well, us too. A out axe. So this is going to be zero equals two G age miners because there's no is decelerating the glove. Two a. D. So the acceleration that we want to discover that's protein. Another caller acceleration that we want to discover. It's just going to be two g h divided by two deep. That's the two. So it's just going to be g h divided by D. And did direction is upward. Mm. You don't have space to write this here. That's right in here. The direction it's going to be of warrant. And this is the answer for this question. Thanks For what

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