A 2-kg moving object has a kinetic energy of 100 J. Linear momentum of the object (in kg.m/s) is:Group of answer choices20021010020
Question
A 2-kg moving object has a kinetic energy of 100 J. Linear momentum of the object (in kg.m/s) is:Group of answer choices20021010020
Solution
To find the linear momentum of the object, we first need to understand the relationship between kinetic energy (KE) and momentum (p). The formula that connects these two is:
KE = p²/2m
Where: KE is the kinetic energy, p is the momentum, and m is the mass of the object.
We can rearrange this formula to solve for p:
p = sqrt(2mKE)
Now we can substitute the given values into the equation:
p = sqrt(22kg100J)
p = sqrt(400 kg*m²/s²)
p = 20 kg*m/s
So, the linear momentum of the object is 20 kg*m/s.
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