At its highest point the ball had gained 12 J of gravitational potential energy. (i) State the kinetic energy of the ball at its highest point. kinetic energy = ..............................................................J (ii) State the equation linking gravitational potential energy, mass, g and height.
Question
At its highest point the ball had gained 12 J of gravitational potential energy. (i) State the kinetic energy of the ball at its highest point.
kinetic energy = ..............................................................J (ii) State the equation linking gravitational potential energy, mass, g and height.
Solution
(i) At its highest point, the ball's kinetic energy is 0 J. This is because at the highest point, the ball momentarily stops moving before it starts to descend, so its velocity is zero. Since kinetic energy is given by the formula 1/2mv^2, where m is mass and v is velocity, if velocity is zero, then kinetic energy is also zero.
(ii) The equation linking gravitational potential energy, mass, g (gravitational field strength) and height is:
Gravitational Potential Energy = mass * g * height
or in symbols:
GPE = mgh
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