Describe the potential energy and kinetic energy as the pendulum bob swings to and fro. at the highest point and lowest point
Answers
Answer:
Explanation:
At the highest point, the Potential Energy is at the Highest p.e which can be achieved. As the pendulum bob moves towards the lowest point the potential energy will turn into kinetic energy as suggested by the conservation of energy law and at the lowest point the bob attains the highest speed and kinetic energy at the lowest point.
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Potential Energy: the potential energy of a pendulum at any point can be found through this given formula
PE = mgh
where g is acceleration dye to gravity
m is mass of Bob
h is height
this can also be deduced in the formula
PE = mgL(1 – COS θ)
where L is length of the string
θ is the angle
Now when the pendulum is at highest point, θ will be 90°
Therefore, PE= mgL(1- cos90°)
PE = mgL
When pendulum is at lowest point, θ will be 0°
Therefore, PE= mgL(1- cos0°)
PE= 0
therefore, Potential energy of the pendulum at highest point is mgL and at Lowest point is 0.
Kinetic Energy: the kinetic energy of a pendulum at any point can be found through this given formula
KE= 1/2 mv^2
At the highest point of motion, there will be only potential energy as the pendulum will be momentarily motionless.
KE = 0
At the lowest point, the speed of the pendulum will be maximum and there will be no potential energy.
KE= 1/2 mv^2
therefore, Kinetic energy of the pendulum at highest point is 0 and at Lowest point is 1/2mv^2.