Question

A large pendulum (4.0 kg) is moving at 2.0 m/s and has mechanical energy of 68.0 J. What is the height of the pendulum in meters?​

Answer 1

Explanation:

m = 4.0 kg

v = 2.0 m/s

g = 10 m/s²

Mechanical energy of the pendulum = 68.0 J

Mechanical energy of the pendulum = Potential energy of the pendulum + Kinetic energy of the pendulum

mgh + 1/2 mv² = 68

4 × 10 × h + 1/2 × 4 × 2 × 2 = 68

40 h + 8 = 68

40 h = 68-8

40 h = 60

h = 60 / 40

h = 3/2 m

h = 1.5 m