Which graph accurately shows the relationship between kinetic energy and speed as speed increases?
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Answer:
B
Explanation:
kinetic energy (KE) is the energy possessed by moving bodies. It can be expressed as:
KE = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]
Where: m is the mass of the object, and v its speed.
For example, a stone of mass 2kg was thrown and moves with a speed of 3 m/s. Determine the kinetic energy of the stone.
Thus,
KE = [tex]\frac{1}{2}[/tex] x 2 x [tex]3^{2}[/tex]
= 9
KE = 9.0 Joules
Assume that the speed of the stone was 4 m/s, then its KE would be:
KE = [tex]\frac{1}{2}[/tex] x 2 x [tex]4^{2}[/tex]
= 16
KE = 16.0 Joules
Therefore, it can be observed that as speed increases, the kinetic energy increases. Thus option B is appropriate.