A 1-kg object and a 2-kg object have equal nonzero momenta. Which object has the larger kinetic energy? The 1-kg object has larger kinetic energy The 2-kg object has larger kinetic energy Cannot determine from information given Both objects have the same kinetic energy

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Chapter1: Units, Trigonometry. And Vectors
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### Physics Question on Kinetic Energy and Momentum

**Problem Statement:**
A 1-kg object and a 2-kg object have equal nonzero momenta. Which object has the larger kinetic energy?

**Options:**
1. The 1-kg object has larger kinetic energy
2. The 2-kg object has larger kinetic energy
3. Cannot determine from information given
4. Both objects have the same kinetic energy

**Explanation:**
When two objects have equal momenta, their kinetic energies can be compared using the formula for kinetic energy \( KE = \frac{1}{2}mv^2 \) and momentum \( p = mv \). For equal momenta, \( m_1v_1 = m_2v_2 \). To find which object has greater kinetic energy, consider that kinetic energy is proportional to velocity squared; hence even a small velocity has a large impact.
Transcribed Image Text:### Physics Question on Kinetic Energy and Momentum **Problem Statement:** A 1-kg object and a 2-kg object have equal nonzero momenta. Which object has the larger kinetic energy? **Options:** 1. The 1-kg object has larger kinetic energy 2. The 2-kg object has larger kinetic energy 3. Cannot determine from information given 4. Both objects have the same kinetic energy **Explanation:** When two objects have equal momenta, their kinetic energies can be compared using the formula for kinetic energy \( KE = \frac{1}{2}mv^2 \) and momentum \( p = mv \). For equal momenta, \( m_1v_1 = m_2v_2 \). To find which object has greater kinetic energy, consider that kinetic energy is proportional to velocity squared; hence even a small velocity has a large impact.
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