Question

(a) The figure below shows a simple pendulum of mass 2008."
the mean position A to the extreme position B. The porc
position A is zero. At the position B the pendulum bob is raised by
lum of mass 200 g. It is displaced from
on B. The potential energy at the
5 m
(1) What is the potential energy of the pendulum at the position B?
(ii) What is the total mechanical energy at point C?
(iii) What is the speed of the bob at the position A when released from B?
(Take g = 10 ms and there is no loss of energy.)​

Answer 1

i) 10 J

ii) 10 J

iii) 10 m/s

Explanation:

i) Given that,

m(mass in kg) = 200g or 0.2 kg

acceleration due to gravity(g) = 10 m/s     (given)    

height in meters(h) = 5 m

Potential energy(PE) = mgh

= 0.2 x 10 x 5

= 10 J

ii) Since the sum of potential energy is equal to its total mechanical energy, it would be 10 J.

iii) To find,

speed of the bob at position A when released from B

v^2 = 2 x E/m

Or

1/2 mv^2 = mgh

v = √2gh

= (2 x 10)/0.2

= 100

∵ v = 10 m/s

Learn more: Total Mechanical Energy

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