A pendulum has length of 0.4 ~m and maximum speed 4 ~m / s . When the length makes an angle 30^ with the horizontal, its speed will be [ 6 = 3 =0 5 . and . g =10 ~m / s ² ]

Step-by-step solution

A pendulum has length of 0.4 ~m and maximum speed 4 ~m / s . When the length makes an angle 30^ with the horizontal, its speed will be 2 3 ~m / s . Explanation: h=L-L 0=L(1- )=0.4 (1- 60^ )=0.4 (1- 1 2 )=0.4 1 2 =0.2 1 2 m v₁²= 1 2 m v₂²+m g hv₁²=v₂²+2 g h v₂²=v₁²-2 g h=(4)²-2 10 0.2=16-4=12 v₂= 12 =2 3 m / s