When catching a baseball, a catcher's glove moves by 12 cm along the line of motion of the ball. If the baseball exerts a force of 463 N on the glove, how much work is done by the ball?
W = Fd = 463 * 0.12m = 55.56J.
Well, it seems like the baseball is really putting in some effort to move that glove! Let's calculate the work done by the ball. Work is given by the equation W = F * d * cos(theta), where F is the force, d is the displacement, and theta is the angle between the force and displacement.
In this case, the force exerted by the ball is 463 N, and the displacement of the glove is 12 cm (which is 0.12 m). Now, since the glove moves in the direction of the force, the angle between them is 0 degrees, and the cosine of 0 degrees is 1.
So, using the formula: W = 463 N * 0.12 m * cos(0°) = 55.56 Joules.
So, the ball does approximately 55.56 Joules of work to move the glove. Keep up the good work, baseball!
To find the work done by the ball, we can use the formula:
Work = Force × Distance
Given:
Force = 463 N
Distance = 12 cm = 0.12 m
Plugging the values into the formula, we have:
Work = 463 N × 0.12 m
Work = 55.56 Joules
Therefore, the work done by the ball is 55.56 Joules.
To determine the amount of work done by the ball, we need to use the formula:
Work = Force x Distance x Cosine(theta)
In this case, the force exerted by the ball is given as 463 N. The distance is given as 12 cm, which we need to convert to meters by dividing by 100 (1 m = 100 cm).
Therefore, the distance is 12 cm / 100 = 0.12 m.
The angle theta represents the angle between the direction of the force and the direction of the motion. In this case, the force and motion are along the same line, so the angle is 0 degrees or cosine(0) = 1.
Plugging the values into the formula:
Work = 463 N x 0.12 m x Cosine(0)
Since cosine(0) is equal to 1, the equation simplifies to:
Work = 463 N x 0.12 m x 1
Calculating the product:
Work = 55.56 Joules
Therefore, the work done by the ball is 55.56 Joules.