A 70 kg halfback moving at a speed of 4m/s was tackled by a cornerback running at 5m/s in the same direction.If the speed of both players after the tackle is 4.5 m/s.What is the mass of the cornerback?
Answers
Answer:
A football player weighing 75 kg running at 2 m/s toward west tackles a 70 kg player running 1.5 m/s in the opposite direction. What is the decrease in kinetic
Explanation:
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Given:
Mass of halfback = 70 kg
Speed of halfback = 4 m/s
Speed of cornerback = 5 m/s
Speed of both the players after tackle = 4.5 m/s
To find:
Mass of the cornerback.
Solution:
We know that momentum is conserved before and after collision.
Let the mass of the cornerback be m kg
Let both the players be moving in the positive x direction.
Momentum of halfback before collision = mass* velocity
= 70*4 = 280 kg m/s
Momentum of cornerback before collision = m*5 kg m/s
Final momentum after collision = (70 + m)* 4.5
Forming an equation of conservation of momentum:
280 + m*5 = (70 + m)*4.5
280 + 5m = 315 + 4.5m
5m - 4.5m = 315 - 280
0.5m = 35
m = 35/ 0.5
m = 70 kg
Therefore the mass of the cornerback is 70 kg.