Answer: If the potential energy of a football when hit is 80J, what will its mass in grams be if it reaches a height of 40 meters?
Step-by-step explanation:
We can use the formula for gravitational potential energy:
PE = mgh
where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.
We can rearrange this formula to solve for the mass:
m = PE / gh
Plugging in the given values, we get:
m = 80 J / (9.81 m/s^2 * 40 m)
Simplifying, we get:
m = 0.204 kg
To convert this to grams, we multiply by 1000:
m = 204 g
Therefore, the mass of the football is 204 grams if it reaches a height of 40 meters with a potential energy of 80 J.
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