Question

Suppose a body has mass m and velocity v. Its kinetic energy is given by
K = 1/2mv^2. Assume that m = 10 and v = 25. Use differentials to estimate the increase in
kinetic energy if both mass and velocity increase by 10%.

Answer 1

10+(10*0.1)=m2
25+(25*0.1)=v2
then plug into the equation.

Answer 2

do you mean 2m or just m? by doing this i will be able to find out the new values for m and v?

Answer 3

I was using standard notation, where what you are given are:
\[m_1=10 ;v_1=25\]
and you are finding
\[m_2;v_2\]
or the new values of m and v

Answer 4

Thank you!