This graph indicates that the kinetic energy of an object is increasing. What is the most reasonable explanation for this observ
ation?
A) The object's mass has doubled.
B) The object's velocity doubled.
C) The object's velocity has quadrupled.
D) The object's velocity and mass doubled.
A) The object's mass has doubled.
B) The object's velocity doubled.
C) The object's velocity has quadrupled.
D) The object's velocity and mass doubled.
1 answer:
B) The object's velocity doubled.
Explanation:
The graph is missing: find it in attachment.
The kinetic energy of an object is the energy possessed by the object due to its motion. It is calculated as
where
m is the mass of the object
v is the velocity of the object
We notice that:
- The kinetic energy is directly proportional to the mass
- The kinetic energy is proportional to the square of the velocity
In the graph, one of the two quantities (either mass or speed) is represented on the x-axis, while the quantity on the y-axis is the kinetic energy.
First of all, we notice that the relationship is not linear: this means that the quantity on the x-axis cannot be the mass, so it must be the velocity.
Moreover, we notice that when the quantity on the x-axis increases from 1 to 2 (so, it doubles), the kinetic energy increases by a factor of 4. This means that the object's velocity has doubled, therefore
B) The object's velocity doubled.
Learn more about kinetic energy:
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b)
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