A small sphere of mass m is launched horizontally over a body of water from a he

Question

A small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed V_0. Determine expressions for the following in terms of m, v_0, h, and g. Air resistance is negligibly small. W is the amount work done by the force of gravity on the projectile during its flight. Delta KE is the change in kinetic energy Delta KE of the projectile from the time it was fired until it hits the water. KE_f is the final kinetic energy KE_f of the projectile as it hits the water. Are any of the answers changed if the initial angle is changed?

Explanation / Answer

(a) W =mgh

(b) From work energy thorem

W = Kf -Ki

DK = mgh

(c) Kf -Ki =mgh

Kf = Ki+mgh

Kf = (1/2)mv02+mgh

(d) No,

Work kinetic energy both are scalars.

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