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A bat strikes a 0.145 kg baseball. Just before impact, the ball is traveling horizontally to the right at $50.0 \mathrm{m} / \mathrm{s},$ and it leaves the bat traveling to the left at an angle of $30^{\circ}$ above horizontal with a speed of 65.0 $\mathrm{m} / \mathrm{s}$ . (a) What are the horizontal and vertical components of the impulse the bat imparts to the ball? (b) If the ball and bat are in contact for 1.75 $\mathrm{ms}$ , find the horizontal and vertical components of the average force on the ball.

a) 15.5 $\mathrm{kg} \mathrm{m} / \mathrm{s}$4.7 $\mathrm{kgm} / \mathrm{s}$b) $8.81 \times 10^{3} \mathrm{N}$$2.7 \times 10^{3} \mathrm{N}$

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

University of Winnipeg

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in this problem. We have a ball that is initially moving with the velocity off 50 interpret second and has a massive cedar 0.145 kilograms. And after the ball hits the back, it is moving with the velocity ofsixty five meters once again at an angle of 30 degrees with the horizontal. Let's say, as usual, our daughter is our X axis and vertical. Either way, access. We want to find out the impulse components in both X and y directions. You can simply do this because we know that impulse is the change in the window. Hence, and that is final minus B initially, nor the victor signs on all of the all of the symbols here. That's because we have a two dimensional problem with Dr Conference in exact directions. Now we can apply this equation in both X and Y directions and find out the impulse confidence now for the impulse next election. That would be the final moment of the next election, minus the initial on the next election, which is now in the final case. When you have 65 meters per second, we can divide the velocity into two components because this is 65 meters per second. I'm X angle of 30 degrees. We have ah x and Y company. The ex confident is 65 cost 30 that as the compliment is 65 Scientist E. But I also know that this the ex confident of director is in the left or direction, which means the ex con parent is actually negative. Now our final momentum in the ex competent is mass. You should see the 11 for five kilograms multiplied by the velocity which is minus 65 Bastardi minus The initial wanted was simply the mass times velocity because the velocity is complete in the ex direction which is still a 1145 times 50. This turns out to be 15.41 kejian meter per second. If you put it into a calculator Now for the white confident we have again bf why defining moment in the white direction minus he i y the initial order in the white direction. But the mission went up in the white direction is zero because I've always moving horizontally. Hence it is simply the final moment of in my direction, which is mass. They want 145 times the vertical component of the velocity It is 65 signed 30. There were the Scientology zero cost 30 is through three. By do, this turns out to be 4.71 kilogram meters per second. Also in order, there is a minus. And here I'm sorry, forgot to write it down because our impulse is in the left for direction. And this is positive because our impulses in the coordination the compliment that seems reasonable. Because if a ball came in horizontally and then left at an angle, we're expected to have a we'll expect the force to be somewhere in between. Now, for part B, we want to find out the force components if the time period for which is they've fourth, did I, period for which the force has is killing in the problem. The time period is giving us 1.1 fire millisecond, which is 1.75 to 10 for minus three seconds. And hence they're forcing the ex conference is simply the impulse in the ex component directed by earlier because we know involved is force times that I'm pretty and they spread disease bacteria question into confidence and for the ex confident we have this and for the wine confident we have, I've I've identity. Hence, FBI is simply 0.471 I'm sorry for 171 which is why you want a bite daddy, which is 1.75 in due time four minus three seconds. Which turns out to be 2,690 unions. Nor that I rounded it down to three. Significant beat it. Similarly, effects is minus 15.41 divided by 1.75 into 10. For industry which is minus 8,800 mutants, these are forced confidence.

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