An object has a kinetic energy of 290 J and a momentum of magnitude 20.8 kg · m/s. (a) Find the speed of the object. m/s (b) Find the mass of the object. kg

College Physics
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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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**Problem Statement:**

A pitcher claims he can throw a 0.140-kg baseball with as much momentum as a 2.34-g bullet moving with a speed of \(1.50 \times 10^3\) m/s.

**Questions:**

(a) What must the baseball's speed be if the pitcher's claim is valid?

[Answer Box] \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\) m/s

(b) Which has greater kinetic energy, the ball or the bullet?
- ○ The ball has greater kinetic energy.
- ○ Both have the same kinetic energy.
- ○ The bullet has greater kinetic energy.
Transcribed Image Text:**Problem Statement:** A pitcher claims he can throw a 0.140-kg baseball with as much momentum as a 2.34-g bullet moving with a speed of \(1.50 \times 10^3\) m/s. **Questions:** (a) What must the baseball's speed be if the pitcher's claim is valid? [Answer Box] \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\) m/s (b) Which has greater kinetic energy, the ball or the bullet? - ○ The ball has greater kinetic energy. - ○ Both have the same kinetic energy. - ○ The bullet has greater kinetic energy.
**Problem:**

An object has a kinetic energy of 290 J and a momentum of magnitude 20.8 kg·m/s.

(a) Find the speed of the object.  
[Answer Box] m/s

(b) Find the mass of the object.  
[Answer Box] kg

**Explanation:**

This problem involves calculating the speed and mass of an object using its kinetic energy and momentum. You can use the following formulas:

1. Kinetic Energy (KE) = \( \frac{1}{2}mv^2 \)

2. Momentum (p) = \( mv \)

Where:
- \( m \) is the mass of the object,
- \( v \) is the speed of the object.

To solve the problem:
- Use the given kinetic energy and momentum to form two equations.
- Solve these equations simultaneously to find the values of \( v \) and \( m \).
Transcribed Image Text:**Problem:** An object has a kinetic energy of 290 J and a momentum of magnitude 20.8 kg·m/s. (a) Find the speed of the object. [Answer Box] m/s (b) Find the mass of the object. [Answer Box] kg **Explanation:** This problem involves calculating the speed and mass of an object using its kinetic energy and momentum. You can use the following formulas: 1. Kinetic Energy (KE) = \( \frac{1}{2}mv^2 \) 2. Momentum (p) = \( mv \) Where: - \( m \) is the mass of the object, - \( v \) is the speed of the object. To solve the problem: - Use the given kinetic energy and momentum to form two equations. - Solve these equations simultaneously to find the values of \( v \) and \( m \).
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