The golf ball had a mass of 50 g and he transferred 56 J of energy to it. (i) State the equation linking kinetic energy, mass and velocity. (ii) Calculate the initial velocity of the ball. (d) 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
Question
The golf ball had a mass of 50 g and he transferred 56 J of energy to it. (i) State the equation linking kinetic energy, mass and velocity.
(ii) Calculate the initial velocity of the ball.
(d) 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
Solution
(i) The equation linking kinetic energy (KE), mass (m) and velocity (v) is: KE = 1/2 * m * v^2
(ii) To calculate the initial velocity of the ball, we can rearrange the equation to solve for v: v = sqrt((2KE)/m). Substituting the given values, we get: v = sqrt((256 J)/0.05 kg) = sqrt(2240 m^2/s^2) = 47.43 m/s.
(d) At its highest point, the ball had gained 12 J of gravitational potential energy. This means that the kinetic energy at this point would be the initial kinetic energy minus the gained potential energy. So, KE = 56 J - 12 J = 44 J.
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