A stone of mass 100g is thrown upwards with a velocity 30m/s. What is the maximum
potential energy that can be gained by the stone?
(a) 45000J (b) 45J (c) 0J (d) 300J
Answers
Answer:
A stone of mass 500g is thrown vertically upwards with a velocity of 15ms
−1
. Calculate the potential energy at the greatest height.
Medium
Answer
Kinetic Energy, K.E=0.5×m×v
2
K.E=0.5×0.5×15×15=56.25J
As it has 56.25 J at the initial point as total energy, at some point X,Potential Energy(P.E.) is maximum.
Total energy=P.E.+K.E.
56.25=P.E.+K.E.
As energy is conserved total energy at point X also must be 40 J.
For P.E to be maximum K.E. must be zero.
Hence P.E.=56.25J
We can come to the conclusion that potential energy will have the maximum value at maximum height.
Step-by-step explanation:
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Gɪᴠᴇɴ :
Mass of a stone 100 g
- The stone is thrown upwards with a velocity of 30m/s
Tᴏ Fɪɴᴅ :
The maximum potential energy gained by the stone.
Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :
We know that,
✯ When body reaches the highest point, it's entire kinetic energy gets converted into potential energy, which is maximum.
Thus,
↝ Kinetic energy of a body is,
Hence,
★ Here the maximum kinetic energy, i.e. 45 J is converted into potential energy (maximum).
[NOTE : Potential energy is maximum at highest point.]
The maximum potential energy gain by the stone is 45 J