why can a criket ball do more work than a golf ball moving at the same speed
The mass of the cricket ball is greater.
A cricket ball can do more work than a golf ball moving at the same speed because work is directly related to mass. The cricket ball is much heavier than the golf ball, so when they are both moving at the same speed, the cricket ball has more kinetic energy.
To better understand why the cricket ball can do more work, let's look at the formula for work:
Work (W) = Force (F) × Distance (d) × cosθ
In this formula, force is the amount of effort applied to the object, distance is the displacement of the object, and θ is the angle between the direction of the force and the direction of the displacement.
Since we are comparing the work done when both balls are moving at the same speed, we can assume that the distance traveled by each ball is the same. The angle between the force and displacement is also likely to be similar.
The key difference between the two balls lies in the force applied. The cricket ball has a greater mass than the golf ball, and according to Newton's second law of motion (F = m × a), a greater mass requires a greater force to move at the same speed. Therefore, to achieve the same speed, the cricket ball experiences a greater force than the golf ball.
By substituting the values into the work formula, we see that the cricket ball, with its larger force, does more work than the golf ball. This is why the cricket ball can do more work even when moving at the same speed.