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.

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods