Sandra takes a class field trip to a geology museum. She sees an interesting sample of igneous rock. She wonders if the material
1 answer:
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Answer:
The amount of thermal energy needed is 15167500 joules.
Explanation:
By First Law of Thermodynamics, we see that amount of thermal energy (), in joules, is equal to the change in internal energy. From statement we understand that change in internal energy consisting in two latent components (
,
), in joules, and two sensible component (
), in joules, that is:
(1)
By definitions of Sensible and Latent Heat, we expanded the formula:
(2)
Where:
- Mass, in kilograms.
- Latent heat of fussion of water, in joules per kilogram.
- Latent heat of vaporization of water, in joules per kilogram.
- Specific heat of ice, in joules per kilogram per degree Celsius.
- Specific heat of water, in joules per kilogram per degree Celsius.
- Change in temperature of ice, measured in degrees Celsius.
- Change in temperature of water, measured in degrees Celsius.
If we know that ,
,
,
,
,
and
, then the amount of thermal energy is:
The amount of thermal energy needed is 15167500 joules.
Answer:
a)
b) the motorcycle travels 155 m
Explanation:
Let , then consider the equation of motion for the motorcycle (accelerated) and for the car (non accelerated):
where:
is the speed of the motorcycle at time 2
is the velocity of the car (constant)
is the velocity of the car and the motorcycle at time 1
d is the distance between the car and the motorcycle at time 1
x is the distance traveled by the car between time 1 and time 2
Solving the system of equations:
For the second part, we need to calculate x+d, so you can use the equation of the car to calculate x:
Explanation:
At the top of the tree, the velocity of the pebble is purely horizontal so we can calculate it as