Question

Tarzan swings on a 36.0 m long vine initially inclined at an angle of 31.0◦ with the vertical. The acceleration of gravity if 9.81 m/s 2 . What is his speed at the bottom of the swing if he a) starts from rest? Answer in units of m/s.

Answer 1

v = 10 m/s

Step-by-step explanation:

Given,

Length of the vine, l = 36 m

Angle of inclination = 31.0◦ with the vertical

acceleration due to gravity = 9.81 m/s²

Using Conservation of energy

KE = PE

`(1)/(2) mv^2 = m g h`

`v = √(2gh)`

`v = \sqrt{2 g l(1-\cos \theta)`

`v = \sqrt{2* 9.81* 36 * (1-\cos 31^0)`

v = 10 m/s

Hence, the speed of the swing is equal to 10 m/s