1) The mass of the car is 2,000 kg
2) The speed of the car is 14.1 m/s
Explanation:
1)
The kinetic energy of an object is the energy possessed by the object due to its motion. The kinetic energy is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is the speed of the object
In this problem, we have a car that has a kinetic energy of
K = 100,000 J
And a speed of
v = 10 m/s
Therefore, we can re-arrange the equation to find the mass of the car:
[tex]m=\frac{2K}{v^2}=\frac{2(100,000)}{10^2}=2,000 kg[/tex]
2)
Again, for this second part we can use the formula for the kinetic energy:
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is the speed of the object
In this second part we know that
K = 200,000 J is the kinetic energy of the car
m = 2,000 kg is its mass (calculated in the previous part)
Solving for v, we can now find how fast is the car moving:
[tex]v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2(200,000)}{2,000}}=14.1 m/s[/tex]
Learn more about kinetic energy:
brainly.com/question/6536722
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