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$\bullet$ A 15.0 g acorn falls frum rest from the top of a 35.0 -m-high oak tree. When it is halfway to the ground, a 135 g bird gliding horizontally at 75.0 $\mathrm{cm} / \mathrm{s}$ scoops it up with its beak. Find (a) the horizontal and vertical components of the bird's velocity, and (b) the speed of the bird and the angle its velocity makes with the vertical, just after the bird scoops up the acorn.

a) 67.5 $\mathrm{cm} / \mathrm{s}$185.2 $\mathrm{cm} / \mathrm{s}$b) 197 $\mathrm{cm} / \mathrm{s}$$20^{\circ}$

Physics 101 Mechanics

Chapter 8

Momentum

Physics Basics

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Sheffield

Lectures

03:23

In physics, mechanical energy is the sum of the kinetic and potential energies of a system.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

06:39

A $15.0 \mathrm{~g}$ acorn…

10:11

A $500.0 \mathrm{~g}$ bird…

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in this problem. We have a bird off masks, 135 grams swooping in with the velocity, 75 centimeters per second. I'm over that. We have an ego which falls half its height, just taking five meters, which means he fell through the height ofthe starting 0.5 meters and has a mask. 15 graphs. We want to find out the the last e off the bird after it caught the corner. It's ex component of the velocity and why Component of the velocity. After the board catches the echo on the total mass of the system becomes 1 35 grams of word, plus the 15 grams of a con on 50 grams. We want to find out its ex competent of velocity and why confident of velocity on the magnitude on the ankle. So for about a listen, please control yourself, Melinda, the initial moment of the ex direction as you shall be infused ex access to be hard Sunderland taxes to be word. Even initially, the Comte de Monte next direction is simply due to the bird mass which is 135 times 75 centimeters per second. But the final moment um in the extraction is now you do the whole system the bird plus the aircon which has the mask 1 50 grammes times the velocity component re X. Now these two must be equal, which gives us we x times 1 50 is 75 times 1 35 which means the ex is 1 35 times 75 by 1 50 Therefore be X is 67.5 meters centimeters per second. Now for the white component, be first howto find out the velocity of the gone. At this point, we know that the egg on has felt through 17.5 meter meter and we know that it has converted its gravitational potential energy into kinetic energy. Giving us a wee is equal to squared off to the hedge. She squared off two times 9.8 times hedge which is 17.5, which turns out to be 18.5 meter per second. But we are using centimeter per second here so we can like this down as 1850 major centimetre or second, I just multiplied it by 100. Now that you know this the initial moment of in the white direction is simply the moment on the wand, which is its mass 15 grams times. The velocity, which is minus 1850 and the university on the final Wyndham in the white direction is the total mass times the be white divide. Confident of the velocity. Now equating these two gives us three wise Ippolito minus 15 multiplied by 18 50 divided by 1 50 which is 185 centimeters per second with a minus sign. This minus sign means that the boat velocity will be in a downward direction. So now that we found this, we simply go to a party. We simply rode off B X squared. Steve, I swear, if you and if you plug in the numbers turns out to be, we need not find the velocity, they simply need to find the angle by which off, which turns out to be 197 centimeters per second. No, because the world was moving horizontally. And then now it's angle has changed by, let's say feet, we need to find the angle by which it has changed. Now we know that this velocity is refined and justice Felix, so fee would be an inverse off. We fight by the X, which is so which means the angle it makes with the vertical is 19 minus five, which is 19 minus 70 degrees, which is 20 please. So 20 degrees is the angle the velocity makes with the article this stance that we need.

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