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adoni [48]
3 years ago
15

A 0.80 kg object tied to the end of a 2.0 m string swings as a pendulum. At the lowest point of its swing, the object has a kine

tic energy of 10 J. Determine the speed of the object at the instant when the string makes an angle of 50o with the vertical.
Physics
1 answer:
devlian [24]3 years ago
6 0

Answer:

3.32 m/s

Explanation:

From the law of conservation of energy, the sum of mechanical and kinetic energy should be equal to the 10 J given. Potential energy is given by mgh where m is mass, g is acceleration due to gravity and h is the height. For this case, h= l(1-cos\theta) and l is string length, given as 2 m, \theta is given as 50 degrees. Kinetic energy is given by 0.5mv^{2} and it is this velocity that is unknown.

10J=0.5\times 0.8kg\times v^{2}+ 0.8kg\times 9.81\times 2m(1-cos 50^{\circ})\\v\approx 3.32 m/s

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