Respuesta :
The kinetic energy of a moving object is given by
[tex]K= \frac{1}{2}mv^2 [/tex]
where m is the object's mass and v its velocity.
In our problem, the initial kinetic energy is:
[tex]K_i = \frac{1}{2} m v_i^2 = \frac{1}{2}(120 kg) (4.5 m/s)^2=1215 J[/tex]
while the final kinetic energy is:
[tex]K_f = \frac{1}{2}mv_f^2 = \frac{1}{2}(120 kg)(3.5 m/s)^2= 735 J [/tex]
So, the kinetic energy lost by Lucy and her bike is
[tex]\Delta K = K_i - K_f = 1215 J - 735 J = 480 J[/tex]
[tex]K= \frac{1}{2}mv^2 [/tex]
where m is the object's mass and v its velocity.
In our problem, the initial kinetic energy is:
[tex]K_i = \frac{1}{2} m v_i^2 = \frac{1}{2}(120 kg) (4.5 m/s)^2=1215 J[/tex]
while the final kinetic energy is:
[tex]K_f = \frac{1}{2}mv_f^2 = \frac{1}{2}(120 kg)(3.5 m/s)^2= 735 J [/tex]
So, the kinetic energy lost by Lucy and her bike is
[tex]\Delta K = K_i - K_f = 1215 J - 735 J = 480 J[/tex]
We have that the kinetic energy lost is mathematically given as
KL=480J
Kinetic energy
Generally the equation for the Kinetic energy is mathematically given as
K=0.5mv^2
Therefore
K=0.5(120(4.5)v^2
K=1215J
And
K=0.5(120(3.5)v^2
K=725J
Henec enegy lost
KL=1215J-725J
KL=480J
For more information on Kinetic energy visit
https://brainly.com/question/999862