A mother has four times the mass of her young son. Both are running with the same kinetic energy. What is the ratio vs/vm other of their speeds?
A mother has four times the mass of her young son. Both are running with the same kinetic energy. What is the ratio vs/vm other of their speeds?
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![**Problem Statement:**
A mother has four times the mass of her young son. Both are running with the same kinetic energy.
**Question:**
*Part A*
What is the ratio \( v_s / v_m \) of their speeds?
\[ v_s / v_m = \]
**Explanation:**
This problem involves understanding the relationship between mass, speed, and kinetic energy. According to the kinetic energy formula, \( KE = \frac{1}{2}mv^2 \), when two objects have the same kinetic energy, their speeds relate inversely to the square root of their masses.
Given:
- The mother’s mass \( m_m = 4m_s \) (four times the son's mass).
- Kinetic energy \( KE_m = KE_s \).
You need to find the speed ratio \( v_s / v_m \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc303f822-5e20-4d30-8920-178170554c96%2Faae9cb77-117a-4343-8058-817ed6a75ba0%2Fg8au0b_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A mother has four times the mass of her young son. Both are running with the same kinetic energy.
**Question:**
*Part A*
What is the ratio \( v_s / v_m \) of their speeds?
\[ v_s / v_m = \]
**Explanation:**
This problem involves understanding the relationship between mass, speed, and kinetic energy. According to the kinetic energy formula, \( KE = \frac{1}{2}mv^2 \), when two objects have the same kinetic energy, their speeds relate inversely to the square root of their masses.
Given:
- The mother’s mass \( m_m = 4m_s \) (four times the son's mass).
- Kinetic energy \( KE_m = KE_s \).
You need to find the speed ratio \( v_s / v_m \).
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