A tennis ball is released from a height of 4.0 m above the floor. After its third bounce off the floor, it reaches a height of 1
1 answer:
Answer:
The percentage of its mechanical energy does the ball lose with each bounce is 23 %
Explanation:
Given data,
The tennis ball is released from the height, h = 4 m
After the third bounce it reaches height, h' = 183 cm
= 1.83 m
The total mechanical energy of the ball is equal to its maximum P.E
E = mgh
= 4 mg
At height h', the P.E becomes
E' = mgh'
= 1.83 mg
The percentage of change in energy the ball retains to its original energy,
ΔE % = 45 %
The ball retains only the 45% of its original energy after 3 bounces.
Therefore, the energy retains in each bounce is
∛ (0.45) = 0.77
The ball retains only the 77% of its original energy.
The energy lost to the floor is,
E = 100 - 77
= 23 %
Hence, the percentage of its mechanical energy does the ball lose with each bounce is 23 %
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Answer: Final temperature is 34.15°C.
Explanation: When two objects have different temperature, they will exchange heat energy until there is no more net energy transfer between them. At that state, the objects are in <u>thermal</u> <u>equilibrium</u>.
So, when in equilibrium, the total heat flow must be zero, i.e.:
In our case, there will be a change in state of ice into water, so total heat flow will be:
where
m₁ is mass of ice
m₂ is mass of water
c₁ is specific heat of ice
c₂ is specific heat of water
is final temperature
is initial temperature
L is latent heat fusion
Temperature is in Kelvin so the transformation from Celsius to Kelvin:
For ice:
T = -15 + 273 = 258K
For water:
T = 48 + 273 = 321K
Solving:
307.15K
In Celsius:
34.15°C
Final temperature of the system when in equilibrium is 34.15°C
Answer:
The kinetic energy gained is 40[J]
Explanation:
This is a problem that applies the work and energy conservation. We must analyze the initial and final positions as well as the forces that act on the couch during displacement.
The working and energy conservation theorem says:
The above equation tells us that kinetic energy plus the work done to move an object from one position to another will be equal to kinetic energy in the last position.
The kinetic energy in the initial position is zero since the couch is at rest, Ek1=0
The work will be given by the force that drives the couch multiplied by the distance, and the friction force that acts in the opposite direction to the displacement.