A mass ma = 2kg slides down slippery ramp, reaching a speed v = 10 m/s at the bottom. After reaching the level ground ma collides with mass mg = 3kg at bottom, sticking together in a perfectly inelastic collision. a.) What was the height of the ramp, assuming that ma started from rest? b.) How fast were the combined masses ma and mg moving after sticking together? c.) The combined mass runs into a spring, which brings it to a stop after being compressed 7 cm. What is the spring constant k ?

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Chapter1: Units, Trigonometry. And Vectors
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A mass \( m_A = 2 \, \text{kg} \) slides down a slippery ramp, reaching a speed \( v = 10 \, \text{m/s} \) at the bottom. After reaching the level ground, \( m_A \) collides with mass \( m_B = 3 \, \text{kg} \) at the bottom, sticking together in a perfectly inelastic collision.

a.) What was the height of the ramp, assuming that \( m_A \) started from rest?

b.) How fast were the combined masses \( m_A \) and \( m_B \) moving after sticking together?

c.) The combined mass runs into a spring, which brings it to a stop after being compressed 7 cm. What is the spring constant \( k \)?

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Transcribed Image Text:--- A mass \( m_A = 2 \, \text{kg} \) slides down a slippery ramp, reaching a speed \( v = 10 \, \text{m/s} \) at the bottom. After reaching the level ground, \( m_A \) collides with mass \( m_B = 3 \, \text{kg} \) at the bottom, sticking together in a perfectly inelastic collision. a.) What was the height of the ramp, assuming that \( m_A \) started from rest? b.) How fast were the combined masses \( m_A \) and \( m_B \) moving after sticking together? c.) The combined mass runs into a spring, which brings it to a stop after being compressed 7 cm. What is the spring constant \( k \)? ---
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