Mickey is standing still when Chryzel jumps from behind with a speed of 3.6 m/s and landed on his back. What is now the combined speed of Mickey and Chryzel? Assume that the masses of Mickey and Chryzel are 70 kg and 50 kg, respectively.
Answers
Given : Mickey is standing still when Chryzel jumps from behind with a speed of 3.6 m/s and landed on his back.
masses of Mickey and Chryzel are 70 kg and 50 kg, respectively.
To find : the combined speed of Mickey and Chryzel
Solution:
Mickey mass = 70 kg
initial velocity = 0 standing still
Momentum = 70 x 0 = 0
Chryzel mass = 50 kg
initial velocity =3.6 m/s
Momentum =50 x 3.6 = 180 kgm/s
Combined momentum = 0 + 180 = 180 kgm/s
Combined mass = 70 + 50 = 120 kg
Combined velocity = v m/s
Combined momentum = 120v kgm/s
120v = 180
=> v = 1.5 m/s
the combined speed of Mickey and Chryzel = 1.5 m/s
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Explanation:
⭑GIVEN:
Mickey is standing still when Chryzel jumps from behind with a speed of 3.6 m/s and landed on his back.
masses of Mickey and Chryzel are 70 kg and 50 kg, respectively.
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⭑TO FIND :
The combined speed of Mickey and Chryzel?
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⭑SOLUTION:
Mickey mass = 70 kg
initial velocity = 0 (still standing)
momentum = 70 × 0 = 0
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Chryzel mass = 50 kg
initial Velocity = 3.6 m/s
momentum = 50 × 3.6 = 180 kgm/s
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Combined momentum = 0 + 180 = 180 kgm/s
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Combined mass = 70 + 50 = 120 kg
Combined velocity = v m/s
Combined momentum = 120v kgm/s
→ 120v = 180
→ v = 1.5 m/s
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The combined speed of Mickey and Chryzel = 1.5 m/s