SOLUTION: Can someone please help me with this problem: A 1-kg object is moving at 10 m/s. To double its kinetic enrgy, its speed should be increased to approximately a. 14 m/s b. 15

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Question 190777: Can someone please help me with this problem:
A 1-kg object is moving at 10 m/s. To double its kinetic enrgy, its speed should be increased to approximately
a. 14 m/s
b. 15 m/s
c. 20 m/s
d. 40 m/s

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Can someone please help me with this problem:
A 1-kg object is moving at 10 m/s. To double its kinetic enrgy, its speed should be increased to approximately
a. 14 m/s
b. 15 m/s
c. 20 m/s
d. 40 m/s
------------------
Original Kinetic energy:
Ek = (1/2)*mv^2
Ek = (1/2)*1*10^2 = 50
---------------------------
If you double Ek you get 100
100 = (1/2)mv^2
200 = 1*v^2
v = sqrt(200) = 10sqrt(2) = 10*1.414 is appoximately 14 m/s
===============================================================
Cheers,
Stan H.

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