4. A pendulum bob of mass `1.5 kg`, swings from a height `A` to the bottom of its arc at `B`. The velocity of the bob at `B` is `4.0\ m//s`. Calculate the height `A` from which the bob was released. Ignore the effects of air friction.
4. A pendulum bob of mass 1.5 kg, swings from a height A to the bottom of its arc at B. The velocity of the bob at B is 4.0\ m//s. Calculate the height A from which the bob was released. Ignore the effects of air friction.
Hint
`KE + PE = constant`
Answer
`h = 0.80\ m`
Show Steps
Given: `v_B = 4.0 m//s` Equations `KE + PE = constant` Solution: `KE_A + PE_A = KE_B + PE_B` `0 + mgh = 1/2mv_B^2 + 0` `h = v_B^2/(2g)` `h = (4.0 m//s)^2/(2 times 10\ m//s^2)` `h = 0.80\ m`