How high must a 2.0-kg basketball be thrown so that the top of its arc, it has a potential energy of 160 J?
To find the height at which the basketball must be thrown, we can use the concept of conservation of energy.
The potential energy of an object can be calculated using the formula:
Potential Energy = mass * acceleration due to gravity * height
In this case, the given potential energy is 160 J, the mass of the basketball is 2.0 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
So, we can rearrange the formula and solve for height:
height = Potential Energy / (mass * acceleration due to gravity)
Plugging in the values, we have:
height = 160 J / (2.0 kg * 9.8 m/s^2)
height ≈ 8.16 meters
Therefore, the basketball must be thrown to a height of approximately 8.16 meters for the top of its arc to have a potential energy of 160 J.