27. if you throw a 1.0 kg ball straight up at 40 m/s off the ground, what is its velocity at the highest point? use
conservation of energy to determine how high does the ball go?

The height of the ball, h = 81.63 m

The velocity of the ball at the highest point is zero

Explanation:

Given data,

The mass of the ball, m = 1 kg

The initial velocity of the ball, u = 40 m/s

Using the conservation of energy, the total mechanical energy of the ball initially at u = 40 m/s

              E = P.E + K.E

               E = 0 + ½ mv²

                   = ½ x 1 x 40²

                   = 800 J

The maximum height the ball reaches with the energy E = 20 J

The K.E of the ball is zero at the maximum height

                      E = mgh

                       h = E / mg

                          = 800 / (1 x 9.8)

                           = 81.63 m

The height of the ball, h = 81.63 m

The velocity of the ball at the highest point is zero.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.