he figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity v 1 of magnitude 2.1 m/s and angle 0, = 32.8°. Just after, it is traveling directly upward with velocity 2 of magnitude 10.3 m/s. The duration of the ollision is 2.90 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the impulse on the all from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity \(\vec{v}_1\) of magnitude 12.1 m/s and angle \(\theta_1 = 32.8^\circ\). Just after, it is traveling directly upward with velocity \(\vec{v}_2\) of magnitude 10.3 m/s. The duration of the collision is 2.90 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x-axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat?

### Diagram Explanation:

The diagram shows a baseball being hit by a bat. The initial velocity vector \(\vec{v}_1\) is at an angle \(\theta_1 = 32.8^\circ\) from the positive x-axis. After the collision, the ball's velocity vector \(\vec{v}_2\) is directed upwards along the y-axis. This indicates a change in direction due to the impact with the bat.

### Inputs for Solution:

- (a) Input box for the magnitude of the impulse.
- (b) Input box for the direction of the impulse (relative to the x-axis).
- (c) Input box for the magnitude of the average force.
- (d) Input box for the direction of the average force.

Each input has an associated drop-down menu for units and number entry.
Transcribed Image Text:The figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity \(\vec{v}_1\) of magnitude 12.1 m/s and angle \(\theta_1 = 32.8^\circ\). Just after, it is traveling directly upward with velocity \(\vec{v}_2\) of magnitude 10.3 m/s. The duration of the collision is 2.90 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x-axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat? ### Diagram Explanation: The diagram shows a baseball being hit by a bat. The initial velocity vector \(\vec{v}_1\) is at an angle \(\theta_1 = 32.8^\circ\) from the positive x-axis. After the collision, the ball's velocity vector \(\vec{v}_2\) is directed upwards along the y-axis. This indicates a change in direction due to the impact with the bat. ### Inputs for Solution: - (a) Input box for the magnitude of the impulse. - (b) Input box for the direction of the impulse (relative to the x-axis). - (c) Input box for the magnitude of the average force. - (d) Input box for the direction of the average force. Each input has an associated drop-down menu for units and number entry.
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