Question

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?

Answer 1

Force = 80422.4 N

Step-by-step explanation:

Given that,

Initial speed, u = 0 m/s

Final speed, v = 1900 km/h = 527.78 m/s ( 1 km/h =
`(1)/(3.6)` m/s)

Time taken, t = 2.1 s

So, Applying equation of motion as:

`v=u+at\\\Rightarrow a=(v-u)/(t)\\\Rightarrow a=(527.78-0)/(2.1)\ m/s^2\\\Rightarrow a=251.32\ m/s^2`

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

`Force=Mass* Acceleration`

Mass = 320 kg

So,

`Force=320* 251.32\ kgm/s^2`

Force = 80422.4 N