Question

Place the answer in correct scientific notation, when appropriate and simplify the units.bwork with the units,ncancel units when possible, and show the simplified units in the final answer. Make sure the Calculator is in degree mode when dealing with angle measurements.
K=1/2(3.6×10 2 kg)(2.32×10 5 m/s 2 )=

Answer 1

4.194 x 10^7 Newton

Answer 2

@mr.singh how did u get that. can u please explain?

Answer 3

*The expression is in the form:
\[K=\frac{1}{2}mv^{2}\]
This means the units are in ENERGY. Energy is defined in joules (J). Joules is defined by work done, which is Force*distance.
\[W=Fd\]Force is equal to mass*acceleration.\[F=ma\]

So taking this alternative approach we find that units is in [K] means units of Kinetic energy etc:
\[[K]=[W]=[F][d]=[m][a][d]=kg*\frac{m}{s^{2}}*m = kg\frac{m^{2}}{s^{2}} = J\]

Now going back to the question which I modified because it looked funny:
\[K=\frac{1}{2}(3.6×10^{2}kg)(2.32×10^{5} m/s)^{2}=9.69*10^{12}kg\frac{m^{2}}{s^{2}} = 9.69*10^{12}J\]

If it's \[K=\frac{1}{2}(3.6×10^{2}kg)(2.32×10^{5}\frac{m}{s^{2}})\]
Then the answer would be in newtons, in which case refer to what I did for F=ma