Examine the roller coaster track above. Assume there is negligible friction as the roller coaster moves from position A to posit
ion F. Also assume that the roller coaster has minimal kinetic energy at point A. Create three different models below to describe the kinetic energy, the potential energy, and the total energy of the roller coaster at point E. Examples of models include, but are not limited to: pie charts, bar graphs, equations, textual descriptions, and analogies.
1 answer:
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Answer:
&
Explanation:
Given:
- interior temperature of box,
- height of the walls of box,
- thickness of each layer of bi-layered plywood,
- thermal conductivity of plywood,
- thickness of sandwiched Styrofoam,
- thermal conductivity of Styrofoam,
- exterior temperature,
<u>From the Fourier's law of conduction:</u>
....................................(1)
<u>Now calculating the equivalent thermal resistance for conductivity using electrical analogy:</u>
.....................(2)
Putting the value from (2) into (1):
is the heat per unit area of the wall.
The heat flux remains constant because the area is constant.
<u>For plywood-Styrofoam interface from inside:</u>
&<u>For Styrofoam-plywood interface from inside:</u>
a) 4 forces
b) 186 N
c) 246 N
Explanation:
a)
Let's count the forces acting on the bicylist:
1) Weight (): this is the gravitational force exerted on the bicyclist by the Earth, which pulls the bicyclist towards the Earth's centre; so, this force acts downward (m = mass of the bicyclist, g = acceleration due to gravity)
2) Normal reaction (N): this is the reaction force exerted by the road on the bicyclist. This force acts vertically upward, and it balances the weight, so its magnitude is equal to the weight of the bicyclist, and its direction is opposite
3) Applied force (): this is the force exerted by the bicylicist to push the bike forward. Its direction is forward
4) Air drag (): this is the force exerted by the air on the bicyclist and resisting the motion of the bike; its direction is opposite to the motion of the bike, so it is in the backward direction
So, we have 4 forces in total.
b)
Here we can find the net force on the bicyclist by using Newton's second law of motion, which states that the net force acting on a body is equal to the product between the mass of the body and its acceleration:
where
is the net force
m is the mass of the body
a is its acceleration
In this problem we have:
m = 60 kg is the mass of the bicyclist
is its acceleration
Substituting, we find the net force on the bicyclist:
c)
We can write the net force acting on the bicyclist in the horizontal direction as the resultant of the two forces acting along this direction, so:
where:
is the net force
is the applied force (forward)
is the air drag (backward)
In this problem we have:
is the net force (found in part b)
is the magnitude of the air drag
Solving for , we find the force produced by the bicyclist while pedaling:
Answer:
a)
b)
c)
Explanation:
From the question we are told that
Distance to Betelgeuse
Mass of Rocket
Total Time in years traveled
Total energy used by the United States in the year 2000
Generally the equation of speed of rocket v mathematically given by
where
Therefore
b)
Generally the equation of the energy E required to attain prior speed mathematically given by
c)Generally the equation of the energy required to accelerate the rocket mathematically given by