Terry, a 70-kilogram tailback, runs through his offensive line at a speed of 7.0 m/s. Jared, a 100-kilogram linebacker, running in the opposite direction at 6.0 m/s, meets Terry head-on and "wraps him up." What is the result of this tackle?

Mass of Terry, m = 70 Kg
Speed with which Terry is running, v = 7 m/s
Momentum of Terry = P = m v = 70 Kg × 7 m/s = 490 Kg m/s
Mass of Jared, m' = 100 Kg
Speed of Jared, v' = 6.0 m/s
Momentum of Jared, P' = m' v' = 100 Kg × 6.0 m/s = 600 Kg m/s
Jared is running opposite to Terry and they meet head-on. Since the momentum of Jared is greater than Terry, he would be able to over power Terry and would win in the tackle. He would be able to push Terry with greater force.

Answered by ariston | 2024-06-11

In this scenario, Terry and Jared are running towards each other. To analyze the result of the tackle, we need to consider the principle of conservation of momentum.
Momentum is the product of an object's mass and velocity, and is always conserved in a collision, meaning the total momentum before and after the collision must be the same.
To find the result of the tackle, we need to calculate the total momentum before the collision and the total momentum after the collision.
Before the collision, the momentum of Terry is calculated by multiplying his mass (70 kg) by his velocity (7.0 m/s):
Momentum of Terry = 70 kg × 7.0 m/s = 490 kg·m/s
Similarly, the momentum of Jared is calculated by multiplying his mass (100 kg) by his velocity (-6.0 m/s) because he is running in the opposite direction:
Momentum of Jared = 100 kg × (-6.0 m/s) = -600 kg·m/s
The total momentum before the collision is then:
Total momentum before collision = Momentum of Terry + Momentum of Jared = 490 kg·m/s + (-600 kg·m/s) = -110 kg·m/s
The total momentum after the collision would be zero, as they come to a stop after the tackle:
Total momentum after collision = 0 kg·m/s
Since momentum is conserved, the result of the tackle can be determined by finding the change in momentum.
Change in momentum = Total momentum after collision - Total momentum before collision = 0 kg·m/s - (-110 kg·m/s) = 110 kg·m/s
Therefore, the result of this tackle is a change in momentum of 110 kg·m/s.

Answered by Qwletter | 2024-06-18

Jared, with a momentum of 600 kg·m/s, has greater momentum than Terry, who has 490 kg·m/s. As a result, Jared is likely to overpower Terry during their tackle. This outcome is due to Jared's greater mass and speed in his direction.
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Answered by ariston | 2024-09-26