The string in the figure is 50 cm long. When the dotted arc. How fast is it goin

Question

The string in the figure is 50 cm long. When the dotted arc. How fast is it going at the lowest point in its swing? a. 6.0 m/s b. 4, 4 m/s c. 2.0 m/s d. 2.2 m/s e. 3.1 m/s An ideal spring is used to fire a 0.015 kg block horizontally. The spring has a spring 25 N/m and is initially compressed by 0.05m The kinetic energy of the block as it leaves spring is: a. 3.1 times 10^-2 J b. 2.5 times 10^-2 J c. 1.5 times 10^-2 J d. 9.8 times 10^-2 J e. 0 J A golf ball is struck by a golf club and falls on a green A above the tee. The potential energy the Earth-ball system is greatest: a. when the ball comes to rest on the green b. just before the ball is struck c. when the ball reaches the highest point in its flight d. just after the ball is struck e. just after the ball lands on the green A 1000kg car starts from rest on a horizontal road and gains a speed of 20m/s in 20 sec Its kinetic energy and the power required are respectively a. 5 times 10^5 J and 1 times 10^3W b. 2 times 10^5 J and 1 times 10^4 W c. 1.5 times 10^5 J and 1 times 10^5 W d. 2 times 10^4 J and 1 times 10^3 W e. 1 times 10^5 and 1 times 10^6 W

Explanation / Answer

here,

4)

h = 50 cm = 0.5 m

let the speed at the lowest point be v

using conservation of energy

0.5 * m * v^2 = m * g * h

0.5 * v^2 = 9.81 * 0.5

v = 3.1 m/s

the final speed is e) 3.1 m/s

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