Using KE = 1/2mv^2, solve: What is the mass of a baseball that has a kinetic energy of 105J and is traveling at 10m/s? *Is it still possible to use that equation to get the answer of 2.1kg and if so please solve it using that equation.*

Question

firejay5 · Answer

@confluxepic

anonymous · Answer

Yes, it is infact possible. Using the formula you mentioned, you just have to transpose and make m the subject of the formula. Do you know how to transpose?

anonymous · Answer

In other words, you just have to rearrange the formula.

firejay5 · Answer

I need it worked out correctly and accurately @kym02

anonymous · Answer

I'm just going to guide you. 

Working with the formula you provided, I'm going to rearrange it to make m the subject of the formula:
$$K.E=\frac{ 1 }{ 2 } mv ^{2}$$
Multiplying both sides by 2, we get:
$$2 K.E = 2 \times(\frac{ 1 }{ 2 } mv ^{2} ) $$
This then gives:
$$2K.E= mv ^{2}$$
Dividing both sides by v2, we get
$$\frac{ 2 K.E }{ v ^{2} }= \frac{ mv ^{2} }{ v ^{2} }$$
Cancelling out the two v2, we are left with:
$$m=\frac{ 2 K.E }{ v ^{2} }$$
That's the formula for finding the mass. All you have to do is plug in the values.
K.E = 105 J and v= 10 m/s.

anonymous · Answer

Follow the formula and see if you'll get 2.1 kg.

firejay5 · Answer

@kym02 I didn't change the original formula, I just used m = 2 X KE / v^2

anonymous · Answer

yes, you transposed! did you get back 2.1 kg?