While traveling home at dusk, a motorcyclist gets on the highway and increases the combined mass (400 kg
for the motorcycle and 150 kg for the motorcyclist) from 30 mi/hr to 70 mi/hr in 3 seconds. While struggling to
clean his helmet later that evening, he wonders what would have been the acceleration of one of those bugs
striking his helmet if it had a mass of 5 g.

Respuesta :

The acceleration of one of those bugs is equal to 305mi/s.

Acceleration calculation

To calculate the insect's acceleration, the action and reaction force of the impact must be considered.

As the insect will hit the helmet, the force it hits is the same force it receives, so we can make the following expression:

                                          [tex]m_m \times a_m = m_b \times a_b[/tex]

                                        [tex]550 \times 0.0027 = 5 \times 10^{-3} \times a_b[/tex]

Speed ​​has been converted to miles per second

                                          [tex]a_b = 305 mi/s[/tex]

So, the acceleration of one of those bugs is equal to 305mi/s.

Learn more about acceleration calculation: brainly.com/question/390784