Calculating Kinetic Energy of a Running Cheetah

AI Thread Summary
To calculate the kinetic energy of a running cheetah weighing 419 N and moving at 112 km/h, the correct approach involves converting the weight to mass using the formula F=ma, resulting in a mass of approximately 42.7 kg. The speed must also be converted from km/h to m/s, yielding about 31.1 m/s. The kinetic energy is then calculated using the formula KE=(1/2)m(v^2), leading to a result of approximately 20,700 joules. There was confusion regarding the units, as some participants initially thought the answers were in km/h instead of joules. Ultimately, the participants confirmed their calculations aligned with each other.
kajasu88
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Homework Statement


A cheetah whose weight is 419 N runs North at a speed of 112 km/h. What is the cheetah's kineticenergy? Is there a direction? Why or why not?

I got 2.68 x (10^5)
Is this wrong?
 
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What units are you using? How did you calculate it? Show what you did.
 
kajasu88 said:

Homework Statement


A cheetah whose weight is 419 N runs North at a speed of 112 km/h. What is the cheetah's kineticenergy? Is there a direction? Why or why not?

I got 2.68 x (10^5)
Is this wrong?

That does not see correct. If it weighs 419N, what is its mass? Convert 112km/h into m/s
 
i got the mass by dividing (419N)/(9.8m/s^2) because F=ma
then i plugged it into KE=(1/2)m(v^2)
V=112km/h (i left it in km/h b/c all the multiple choice answers were in km/h)
 
31.1m/s ??
 
kajasu88 said:
V=112km/h (i left it in km/h b/c all the multiple choice answers were in km/h)

The answers were in km/h? But that's a unit of speed, not energy. Are you sure they weren't in joules (symbol J)?
 
i figured it out!
so yes, 31.1 m/s
so KE=(1/2)m(v^2) ... (1/2)(419N / 9.8m/s^2)(31.1 m/s)^2
20,700 kg m^2/s^2

and i got the same answer as two other people
 
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