Problem 4: A 6.5-kg bowling ball moving at 9.4 m/s collides with a 0.75-kg bowling pin, which is scattered at an angle of 0 = 21° from the initial direction of the bowling ball, with a speed of 10.5 m/s.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Physics homework assignment, I don't know how to do this question. There's multiple parts but it's all one question. Thanks for the help!

**Problem 4:**

A 6.5-kg bowling ball moving at 9.4 m/s collides with a 0.75-kg bowling pin, which is scattered at an angle of θ = 21° from the initial direction of the bowling ball, with a speed of 10.5 m/s.

**Part (a):** Calculate the direction, in degrees, of the final velocity of the bowling ball. This angle should be measured in the same way that θ is.

\( \theta_b = \) [Input box]

Below the input box, there is a calculator interface with functions and numbers:

- Trigonometric functions: sin(), cos(), tan(), cotan(), asin(), acos(), atan(), acotan()
- Hyperbolic functions: sinh(), cosh(), tanh(), cotanh()
- Constants and symbols: π (pi), E
- Additional controls: Degrees (selected), Radians
- Numerical keypad: ( ), 7, 8, 9, /, 4, 5, 6, *, 1, 2, 3, -, 0, ., +, √()

Buttons for action: Submit, Hint, Feedback, I give up!

**Part (b):** Calculate the magnitude of the final velocity, in meters per second, of the bowling ball.
Transcribed Image Text:**Problem 4:** A 6.5-kg bowling ball moving at 9.4 m/s collides with a 0.75-kg bowling pin, which is scattered at an angle of θ = 21° from the initial direction of the bowling ball, with a speed of 10.5 m/s. **Part (a):** Calculate the direction, in degrees, of the final velocity of the bowling ball. This angle should be measured in the same way that θ is. \( \theta_b = \) [Input box] Below the input box, there is a calculator interface with functions and numbers: - Trigonometric functions: sin(), cos(), tan(), cotan(), asin(), acos(), atan(), acotan() - Hyperbolic functions: sinh(), cosh(), tanh(), cotanh() - Constants and symbols: π (pi), E - Additional controls: Degrees (selected), Radians - Numerical keypad: ( ), 7, 8, 9, /, 4, 5, 6, *, 1, 2, 3, -, 0, ., +, √() Buttons for action: Submit, Hint, Feedback, I give up! **Part (b):** Calculate the magnitude of the final velocity, in meters per second, of the bowling ball.
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