a child is sitting on a swing its minimum and maximum heights are o.75m and 2m then its maximum speed will be
Answers
Answer:
answer is 5m/s
Explanation:
given,
mass of body(m)=m
maximum height (h2)= 2meters
minimum height (h1)= 0.75meters
gravitational force(g)=10meter per second
velocity (v)=?
we know that, potential energy = kinetic energy
potential energy (P.E) = mgh2 - mgh1
kinetic energy (K.E)= 1/2mv²
1/2mv²= mgh2-mgh1
1/2mv²=mg(h2-h1)
here ,masses m will cancel
1/2v²=g(h2-h1)
substituting the values given
1/2v²= 10(2-0.75)
1/2v²=10(1.25)
1/2v²= 12.5
transfer the 1/2 to right side
v²=12.5(2)
v²=25
transfer the square to right side
v=√25
v= 5
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