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Use the KE and GPE equations to solve for speed or height depending on the situation.

A 1,000-kg car has 50,000 joules of kinetic energy. What is its speed?

 Feb 4, 2019
 #1
avatar+104664 
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Flying blind here.....but here's my best attempt

 

Here's the equation we need....

 

KE  = (1/2) m * v^2          fill in what we know

 

50000 = (1/2)(1000 kg) *  v^2

 

1 joule = 1kg * m^2/^2     ....so   we have

 

50000 kg (m^2 /s^2)   = (1/2) (1000 kg) * v^2           cancel the kg and simplify

 

50000 (m^2/ s^2) = 500 v^2      divide both sides by 500

 

100 (m^2 /s^2) = v^2            take the square root of both sides

 

10 m /s   =  velocity

 

 

cool cool cool

 Feb 4, 2019

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