Module 5 : Conservation of Mechanical Energy

Learning Outcomes:

Attribution: OpenStax, University Physics Volume 1, access for free at
https://openstax.org/details/books/university-physics-volume-1

Attribution: OpenStax, College Physics, access for free at
https://openstax.org/details/books/college-physics

Select the questions sequentially.

variable	quantity	value	SI unit
\( m \)	mass of car	950	\( \quad kg \)
\( v_{1} \)	initial velocity	25.0	\( \quad m/s \)
\( v_{2} \)	final velocity	0.0	\( \quad m/s \)
\( \Delta KE \)	decrease in Kinetic energy	\( -2.97e5 \)	\( \quad J \)
\( W_{net} \)	net work done in stopping the car	\( -2.97e5 \)	\( \quad J \)
\( x \)	distance traveled	\( 120.0 \)	\( \quad m \)
\( F_{net} \)	average force to stop the car	\( -2474 \)	\( \quad N \)

variable	quantity	SI unit
\( \Delta PE \)	decrease in potential energy, \(\; -mgh \)	\( \quad joule \)
\( \Delta KE \)	increase in kinetic energy, \( \; \frac{1}{2}mv^2 \)	\( \quad joule \)
\( \Delta E \)	change in total mechanical energy, \( \; \Delta E = \Delta PE + \Delta KE \)	\( \quad joule \)
\( \Delta E = 0 \)	conservation of mechanical energy, \( \; E=constant\) \( \frac{1}{2}mv^2 = mgh\)
\( v=\sqrt{2gh} \;\; ,\)	\( \quad \text{speed at position} \;\; y_2 \)	\( \quad m/s \)

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