A 100.0 kg football moving with a velocity of 6.0m/s tackles a stationary quarterback.how much work was done
1 year ago
1 year ago
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 kgā
m/sĀ²
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.