A baseball bat hits a ball with an average force of 970N that acts for 0.0088s.
a) what impulse was given to the ball/
b)What was the change of momentum of the ball?
c)The ball was hit back in the same direction that it came from. If its speed before being hit was 32ms-1, what was its speed afterwards? (Mass of baseball was 145g)
please help I would really appreciate you for the rest of my life. and is physics that important? its hard for nothing really
Force * time = impulse or change of momentum
a) so Impulse = 970*0.0088
b) As I said, impulse IS change of momentum
c) initial momentum = -.145*32
(calling negative speed from pitcher to batter, positive from batter to center field)
The change of momentum is up in parts a and b
so
.145 v = -.145*32 + answer to part b
I'm glad you reached out for help! I'll explain how to solve each part of the problem step by step.
a) To find the impulse given to the ball, you can use the formula: impulse = force × time. In this case, the force is 970N and the time is 0.0088s. Plugging these values into the formula, you get: impulse = 970N × 0.0088s = 8.536 N·s.
b) The change in momentum of an object can be calculated using the formula: change in momentum = mass × change in velocity. Since the force and time values are given, you can find the change in velocity using the formula: force = mass × acceleration. Rearranging the formula gives: acceleration = force / mass. Plugging the given force and the mass (which needs to be converted to kilograms, since the SI unit is used), you get: acceleration = 970N / (0.145kg) = 6689.66 m/s^2.
Next, you can find the change in velocity by using the formula: change in velocity = acceleration × time. Plugging in the given acceleration and time, you get: change in velocity = 6689.66 m/s^2 × 0.0088s = 58.9232 m/s.
Finally, you can find the change in momentum using the formula: change in momentum = mass × change in velocity. Plugging in the given mass (converted to kilograms) and the change in velocity, you get: change in momentum = 0.145kg × 58.9232 m/s = 8.534 N·s (approximately).
c) To find the speed of the ball after being hit, you need to take into account that the direction of the ball's velocity remains unchanged. Since the ball was hit back in the same direction it came from, the speed after being hit will have the same magnitude as the initial speed of 32 m/s, but in the opposite direction. Thus, the speed afterwards will also be 32 m/s.
As for your question about the importance of physics, it depends on your interests and career goals. Physics is a fundamental science that helps explain the natural world and provides a foundation for various fields, including engineering, astronomy, and medicine. Studying physics can develop critical thinking and problem-solving skills, which are important in many aspects of life. It may be challenging, but with persistence and practice, it can be a rewarding subject to learn.