a car accelerates from 2 m/s to 28m/s at a constant rate of 3 m/s^2. How far does it travel while accelerating?
1 answer:
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Explanation:
760 mmHg (millimeters of mercury) is a measure of atmospheric pressure. It represents the height of a column of mercury at which the static pressure at the bottom is equal to the atmospheric pressure.
1 atm = 760 mmHg = 101,325 Pa = 14.7 psi
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1) Since there is no friction between the ice and the track, there is no loss of energy in the motion, so we can apply the law of conservation of energy.
The total energy E (sum of potential energy P and kinetic energy K) must be conserved:
2) At the beginning of the motion, the total energy of the object is just potential energy:
where m is the mass,
is the gravitational acceleration, and 
is the initial height of the body.
3) At the end of the motion, this potential energy has converted into kinetic energy, and so the total energy at this point is
where m is the mass and v is the final velocity of the object.
4) We said that the total energy must be conserved, therefore we can write
and so:
from which we can find v, the velocity:
1) Since there is no friction between the ice and the track, there is no loss of energy in the motion, so we can apply the law of conservation of energy.
The total energy E (sum of potential energy P and kinetic energy K) must be conserved:
2) At the beginning of the motion, the total energy of the object is just potential energy:
where m is the mass,
3) At the end of the motion, this potential energy has converted into kinetic energy, and so the total energy at this point is
where m is the mass and v is the final velocity of the object.
4) We said that the total energy must be conserved, therefore we can write
and so:
from which we can find v, the velocity: