Shawn and his bike have a total mass of
52.3 kg. Shawn rides his bike 1.6 km in
17.4 min at a constant velocity.
The acceleration of gravity is 9.8 m/s
2
.
What is Shawn’s kinetic energy?

Respuesta :

Answer:

Shawn's kinetic energy is 61.45 J.

Explanation:

Given;

Mass of the system is, [tex]m=52.3\ kg[/tex]

Displacement of the bike is, [tex]d=1.6\ km=1.6\times 1000=1600\ m[/tex]

Time taken is, [tex]t=17.4\ min=17.4\times 60=1044\ s[/tex]

Let the constant velocity be [tex]v[/tex].

For constant velocity, magnitude of velocity is given as distance by time.

Therefore, [tex]v=\frac{d}{t}=\frac{1600}{1044}=1.533\ m/s[/tex]

Now, kinetic energy of a body is given as:

[tex]KE=\frac{1}{2}mv^2[/tex]

Here, [tex]m=52.3\ kg,\ v=1.533\ m/s[/tex]

[tex]\therefore KE=\frac{1}{2}\times 52.3\times (1.533)^2\\KE=0.5\times 52.3\times 2.35\\KE=61.45\ J[/tex]

Therefore, Shawn's kinetic energy is 61.45 J.

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