A body of mass 500 Kg is dropped from a height of 10 m from the ground. Calculate the
potential energy at a height of 7 m from the ground .Also calculate the kinetic energy when
it reaches the ground. [ g=10m/s2
]
Answers
Answer:
Solution :
Here mass of the ball, `m =5kg`
height of the ball, `h= 10m`
(a) initial potential energy of the ball,
`E_p = mgh = (5kg)(10m//s^2)(10m) = 500J`
(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted into
its kinetic energy `(E_k),i.e.,`
`E_k =500J ...(i)`
(c ) It `upsilon` is the velocity attained by the ball before reaching the ground,
`E_k =(1)/(2)m upsilon^2`
or `upsilon =sqrt((2E_k)/(m)) = sqrt((2xx500J)/(5kg))= 14.14m//s`
Explanation:
Here mass of the ball, m=5kg
Here mass of the ball, m=5kgheight of the ball, h=10m
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted into
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted intoits kinetic energy (Ek),i.e.,
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted intoits kinetic energy (Ek),i.e.,Ek=500J...(i)
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted intoits kinetic energy (Ek),i.e.,Ek=500J...(i)(c ) It υ is the velocity attained by the ball before reaching the ground,
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted intoits kinetic energy (Ek),i.e.,Ek=500J...(i)(c ) It υ is the velocity attained by the ball before reaching the ground,Ek=12mυ2
Here mass of the ball, m=5kgheight of the ball, h=10m(a) initial potential energy of the ball,Ep=mgh=(5kg)(10m/s2)(10m)=500J(b) When the ball reaches the ground, its potential energy becomes zero as it is entirely converted intoits kinetic energy (Ek),i.e.,Ek=500J...(i)(c ) It υ is the velocity attained by the ball before reaching the ground,Ek=12mυ2or υ=2Ekm−−−−√=2×500J5kg−−−−−−−−√=14.14m/s