10. An object of mass 40 kg is raised to a height of 5 m above the
ground. What is its potential energy? If the object is allowed to
fall, find its kinetic energy when it is half-way down.
Answers
Answer:
1960J = potential energy
980J = kinetic energy
Explanation:
PE = mgh
= 40*9.8*5
= 1960 J
half way down height = 2.5m
S= 2.5m initial speed(u)= 0
v^2 = U^2 + 2gS
v = root( 2*9.8*2.5)
=7 m/s
so....KE = 1/2* mv^2
= 980J
hope it helps
^_^
Hey!
• Mass of the object = 40 kg.
• Height = 5 m (above the ground)
• Potential Energy = ?
• Kinetic energy in it's half way down = ?
• Potential Energy when it is at 5 m,
=> m*g*h = 40*10*5 = 2000 J
• Potential Energy at half way down i.e. 2.5 m
=> m*g*h = 40*10*2.5 = 1000 J
According to law if conservation of mass,
• Total potential energy = p.e at half way down + k.e at half way down.
• 2000 J = 1000 J + Kinetic Energy
• Kinetic Energy = 1000 J
IF, g = 9.8 m/s²
Then, P.E = m*g*h = 40*9.8*5 = 1960 J
At half way, P.E = m*g*h = 40*9.8*2.5 = 980 J
At half way, K.E = 1960 J - 980 J = 980 J.
Hope it helps!