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Two football linemen are running towards each other. One lineman weighs 110 kg and is running to the right at 2.65 m/s, while the other lineman weighs 135 kg and is running directly towards him at 2.70 m/s. What is the total momentum of the two linemen?

Answer :

The total momentum of the two football linemen is calculated by finding the momentum of each individually and adding them together, taking into account that one velocity is positive and the other is negative. The lineman weighing 110 kg has a momentum of 291.5 kg*m/s, while the lineman weighing 135 kg has a momentum of -364.5 kg*m/s, resulting in a total momentum of -73 kg*m/s to the left.

To calculate the total momentum of the two football linemen, we consider each lineman's mass and velocity. Remember that momentum (p) is the product of mass (m) and velocity (v), given by the formula p = m * v. Because they are running towards each other, we take one velocity as positive and the other as negative to reflect the opposite directions.

For the lineman weighing 110 kg and running at 2.65 m/s, the momentum is:

p1 = m1 * v1

p1 = 110 kg * 2.65 m/s

p1 = 291.5 kg*m/s

For the other lineman weighing 135 kg and running at 2.70 m/s, the momentum is:

p2 = m2 * v2

p2 = 135 kg * (-2.70 m/s)

p2 = -364.5 kg*m/s

The total momentum of the system is the sum of these individual momenta:

Total momentum = p1 + p2

Total momentum = 291.5 kg*m/s + (-364.5 kg*m/s)

Total momentum = -73 kg*m/s

The negative sign indicates the direction of the total momentum, which is to the left (the direction of the lineman with the larger momentum).

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