A 320 kg rocket sled can be accelerated at a constant rate from rest to 1900 km/h in 2.1 s. What is the magnitude of the required net force?

Respuesta :

Answer:

Force = 80422.4 N

Explanation:

Given that,  

Initial speed, u = 0 m/s

Final speed, v = 1900 km/h = 527.78 m/s ( 1 km/h = [tex]\frac{1}{3.6}[/tex] m/s)

Time taken, t = 2.1 s

So, Applying equation of motion as:

[tex]v=u+at\\\Rightarrow a=\frac{v-u}{t}\\\Rightarrow a=\frac{527.78-0}{2.1}\ m/s^2\\\Rightarrow a=251.32\ m/s^2[/tex]

According to the Newton's second law of motion:-

[tex]Force=Mass\times Acceleration[/tex]

Mass = 320 kg

So,  

[tex]Force=320\times 251.32\ kgm/s^2[/tex]

Force = 80422.4 N