A child lifts a 5.0-newton toy to a height of 0.50 meters. How much work is done on the toy?
W = Fd = 5 * 0.5 = 2.5 Joules.
2.5
To calculate the work done on the toy, you can use the formula:
Work = Force x Distance
In this case, the force is 5.0 Newtons and the distance is 0.50 meters.
Plugging in the values into the formula, we get:
Work = 5.0 N x 0.50 m
Calculating this, we find:
Work = 2.5 Joules
So, the work done on the toy is 2.5 Joules.
To determine how much work is done on the toy, you need to use the formula:
Work = Force × Distance × cos(θ)
where:
- Force is the amount of force applied on the toy (in this case, 5.0 newtons),
- Distance is the distance over which the force is applied (in this case, 0.50 meters),
- cos(θ) is the angle between the force and the direction of motion (assuming the force is applied vertically upward, the angle would be 0 degrees).
Since the force is applied vertically upwards, the angle between the force and the direction of motion is 0 degrees, and cos(θ) = cos(0) = 1.
Therefore, the equation simplifies to:
Work = Force × Distance
Plugging in the values:
Work = 5.0 newtons × 0.50 meters
Calculating the product:
Work = 2.5 joules
So, the amount of work done on the toy is 2.5 joules.