A 2kg hockey puck is sliding across the ice skating rink at 2 m/s. A player hits the puck so it's velocity increases to 10 m/s. How much work did the player do on the ball?

Respuesta :

The work done on the puck is 96 J

Explanation:

According to the work-energy theorem, the work done on the hockey puck is equal to the change in kinetic energy of the puck.

Mathematically:

[tex]W=K_f -K_i= \frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]

where

[tex]K_f = \frac{1}{2}mv^2[/tex] is the final kinetic energy of the puck, with

m = 2 kg being the mass of the puck

v = 10 m/s is the final speed

[tex]K_i = \frac{1}{2}mu^2[/tex] is the initial kinetic energy of the puck, with

u = 2 m/s being the initial speed of the puck

Substituting numbers into the equation, we find the work done by the player on the puck:

[tex]W=\frac{1}{2}(2)(10)^2 - \frac{1}{2}(2)(2)^2=96 J[/tex]

Learn more about work and kinetic energy:

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