The initial velocity of the car is 36.6 m/s
Explanation:
The motion of the car is a uniformly accelerated motion (=constant acceleration), therefore we can apply suvat equations:
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
For the car in this problem, we have:
v = 0 is the final velocity (the car comes to a stop)
is the acceleration
s = 210 m is the displacement of the car
Solving for u, we find the initial velocity:
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Assuming it starts at rest, the roller coaster only has potential energy at the top of the hill, which is
When it reaches the bottom, its potential energy will have converted to kinetic energy,
where is its velocity at that point. By the law of conservation of energy, assuming no loss of energy due to other sources (e.g. sound, heat), we have
Answer:
The latent heat of fusion of water is 334.88 Joules per gram of water.
Explanation:
Let the latent heat of ice be 'x' J/g
1) Thus heat absorbed by 100 gram of ice to get converted into water equals
2) heat energy required to raise the temperature of water from 0 to 25 degree Celsius equals
Thus total energy needed equals
3) Heat energy released by the decrease in the temperature of water from 25 to 11 degree Celsius is
Now by conservation of energy we have