Question

6. The long pendulum shown is drawn aside until the ball has risen 0.5 m. It is then given an initial speed of 3.0 m/s.. The speed of the ball at its lowest position is:

Answer 1

Gravitational acceleration = g = 9.81 m/s²

Mass of the ball = m

Height the ball is taken up to = h = 0.5 m

Initial speed of the ball = V₁ = 3 m/s

Speed of the ball at the lowest point = V₂

By conservation of energy the initial potential and kinetic energy of the ball is equal to the kinetic energy of the ball at the lowest point.

V₂ = 4.34 m/s

Speed of the ball at its lowest position = 4.34 m/s