Formula 1 Energy
In the shown figure, a 30 kN F1 car races around a track at 200 kilometers per hour. What is its kinetic energy in MJ?
Expand Hint
$$$Force=mass\times acceleration$$$
Hint 2
Kinetic Energy:
$$$KE=\frac{1}{2}mv^2$$$
where
$$m$$
is the mass and
$$v$$
is the velocity.
In the problem statement, the weight of the F1 car is given as a force. To find the mass:
$$$F=m\times a$$$
where
$$F$$
is the force,
$$m$$
is the mass, and
$$a$$
is the acceleration due to gravity. Thus,
$$$30kN=m\times 9.81\frac{m}{s^2}$$$
$$$m=\frac{30,000kg\cdot (m/s^2)}{9.81m/s^2}=3,058.1\:kg$$$
Next, convert the velocity into meters per second:
$$$200 \frac{km}{hr}\cdot \frac{1,000m}{km}\cdot \frac{hr}{60min}\cdot \frac{min}{60s}=55.56\:m/s$$$
Finally, to solve for Kinetic Energy:
$$$KE=\frac{1}{2}mv^2$$$
where
$$m$$
is the mass and
$$v$$
is the velocity.
$$$KE=\frac{1}{2}(3,058.1kg)(55.56m/s)^2=4,719,295\:kg\cdot \frac{m^2}{s^2}$$$
$$$=4,719,295N\cdot m=4.7\:MJ$$$
4.7 MJ
Time Analysis
See how quickly you looked at the hint, solution, and answer. This is important for making sure you will finish the FE Exam in time.- Hint: Not clicked
- Solution: Not clicked
- Answer: Not clicked
Similar Problems from FE Sub Section: Kinetic Energy
140. Conservation of Energy
166. Water Barrels
238. Water Barrel Collision
287. Kinetic Energy
361. Pinball Machine
364. Road Rash
526. K.E.
Similar Problems from FE Section: Principle of Work and Energy
140. Conservation of Energy
166. Water Barrels
238. Water Barrel Collision
287. Kinetic Energy
293. Pushing a Boulder
361. Pinball Machine
364. Road Rash
526. K.E.
600. Towing a Trailer