Answer :
Final answer:
To find the duration of the force exerted on the croquet ball, we can use the concept of impulse. The impulse experienced by an object is equal to its change in momentum. Therefore, we can calculate the duration of the force by finding the time interval over which the impulse occurs.
Explanation:
To find the duration of the force exerted on the croquet ball, we can use the concept of impulse. Impulse is defined as the product of the average force exerted on an object and the time interval over which the force is exerted. The impulse experienced by an object is equal to its change in momentum.
Using the formula for impulse, we can calculate the duration of the force exerted on the croquet ball as follows:
Impulse = Force * Time
Momentum = Mass * Velocity
Since the ball is initially at rest, its initial momentum is zero. After being struck, the ball's speed is 3.1 m/s. We can plug these values into the equation to solve for the duration of the force:
Momentum = Mass * Velocity
0.5 kg * 3.1 m/s = 235 N * Time
Time = (0.5 kg * 3.1 m/s) / 235 N
Time = 0.00638 s
Therefore, the duration of the force exerted on the croquet ball is approximately 0.00638 seconds.
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