The ball has a mass of 2.5 kg and is travelling upwards at a velocity of 2 m/s.If the ball has 20 J of gravitational potential energy, how much will it have in total when it reaches its maximum height?Ignore the effects of air resistance.You must include units in your answer.
Question
The ball has a mass of 2.5 kg and is travelling upwards at a velocity of 2 m/s.If the ball has 20 J of gravitational potential energy, how much will it have in total when it reaches its maximum height?Ignore the effects of air resistance.You must include units in your answer.
Solution
To solve this problem, we need to consider two forms of energy: kinetic energy and gravitational potential energy.
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First, let's calculate the kinetic energy of the ball. The formula for kinetic energy is KE = 1/2 * m * v^2, where m is the mass and v is the velocity. Substituting the given values, we get KE = 1/2 * 2.5 kg * (2 m/s)^2 = 5 Joules.
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The problem states that the ball has 20 Joules of gravitational potential energy.
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To find the total energy when the ball reaches its maximum height, we add the kinetic energy and the gravitational potential energy. So, the total energy E = KE + PE = 5 Joules + 20 Joules = 25 Joules.
Therefore, when the ball reaches its maximum height, it will have a total of 25 Joules of energy.
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