A 100.0 kg football moving with a velocity of 6.0m/s tackles a stationary quarterback.how much work was done

To determine the amount of work done, we need to know the force exerted during the tackle and the distance over which the force was applied. However, this information is not provided in the question. Without these values, we cannot calculate the work done in this scenario.

To calculate the work done, we need to use the formula:

Work = Force x Distance

In this case, the force applied will be the force of the tackle, and the distance will be the displacement of the football.

1. Calculate the force:
The force can be calculated using Newton's second law:

Force = Mass x Acceleration

Since the football is moving with a velocity and comes to rest after the tackle, the acceleration can be calculated using the equation:

Final velocity = Initial velocity + (2 x acceleration x distance)

The final velocity is 0 (since it comes to rest), the initial velocity is 6 m/s, and the distance is unknown. We can rearrange the equation to solve for acceleration:

0 = 6 + 2 x acceleration x distance

Rearranging the equation, we get:

Acceleration x Distance = -3

Since the football moves in the opposite direction of the initial velocity, we use a negative sign.

Now, the mass of the football is given as 100.0 kg. Substituting the values into the equation, we get:

100.0 x (-3) = -300 kg⋅m/s²

Therefore, the force of the tackle is -300 N (negative because it acts in the opposite direction of the initial velocity).

2. Calculate the work done:
The work can be calculated using the formula:

Work = Force x Distance

Since the distance is unknown, we cannot directly calculate the work done in this situation.