Question

Consider a small car of mass 1296 kg and a large sport utility vehicle (SUV) of mass 3640 kg. The SUV is traveling at the speed limit (v = 34 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car

Answer 1

\(K=\dfrac 1 2 mv^2\)
So let's use subscript "c" for car and "s" for SUV

\(K_c=\dfrac 1 2 m_cv_c^2\)
\(K_s=\dfrac 1 2 m_sv_s^2\)
You want them to have the same kinetic energy so just substitute and do the math.
=)

Answer 2

Thank you the answer is 57 m/s

Answer 3

cool