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
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
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5179840-641b-4ec2-a555-29fd46cdfb81%2F6466ba59-ce25-499a-ac68-3b0d70217f5b%2F69ckk9m_processed.jpeg&w=3840&q=75)
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 \( m \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5179840-641b-4ec2-a555-29fd46cdfb81%2F6466ba59-ce25-499a-ac68-3b0d70217f5b%2Fiqdoxvp_processed.jpeg&w=3840&q=75)
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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