A tennis player hits a 58.0g tennis ball so that it goes straight up and reaches a maximum height of 6.17m.
How much work does gravity do on the ball on the way up?
On the way down?
3.507
58000×10×6.17=-34800 or34800 j
To calculate the work done by gravity on the tennis ball as it moves up and down, we need to use the gravitational potential energy formula:
Potential energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)
The work done by gravity on the ball is equal to the change in potential energy. Since potential energy is zero at the maximum height, the work done by gravity on the way up (from the ground to the maximum height) is equal to the initial potential energy of the ball at the ground level.
Let's calculate the work done by gravity on the way up first:
Step 1: Convert the mass of the tennis ball from grams to kilograms: 58.0g ÷ 1000 = 0.058kg
Step 2: Calculate the potential energy at the maximum height using the formula:
PE = m × g × h
PE = 0.058kg × 9.8m/s² × 6.17m
The work done by gravity on the way up is equal to the potential energy at the maximum height.
Now let's calculate the work done by gravity on the way down:
Step 1: The potential energy at the maximum height is already calculated.
Step 2: The potential energy at the ground level is zero.
The work done by gravity on the way down is equal to the change in potential energy, which is the negative of the potential energy at the maximum height.
Keep in mind that work done by gravity is a scalar quantity, which means it has only magnitude and no direction.
So, to answer the question:
1. The work done by gravity on the tennis ball on the way up is equal to the potential energy at the maximum height.
2. The work done by gravity on the tennis ball on the way down is equal to the negative of the potential energy at the maximum height.