Answer:
Height when the gravitational potential energy of the Earth-object system have increased by 411 J is 41.86 J
Explanation:
Given that,
Mass of the object, m = 2.3 kg
It is tossed upward from a point 24 m above the Earth's surface.
We need to find the height above the Earth (in m) will the gravitational potential energy of the Earth-object system have increased by 411 J.
Initially, the potential energy will be :
[tex]P=2.3\ kg\times 10\ m/s^2\times 24\ m=552\ J[/tex]
Final potential energy will be :
E= 552 + 411 = 963 J
Now,
[tex]E=mgh'\\\\h'=\dfrac{E}{mg}\\\\h'=\dfrac{963\ J}{2.3\ kg\times 10\ m/s^2}\\\\h'=41.86\ J[/tex]
So, height when the gravitational potential energy of the Earth-object system have increased by 411 J is 41.86 J
