Question

David's new bike can accelerate from rest to 45.0 m/s in just 6.00 s. the combined mass of david and his bike is 225.43 kg. what is the magnitude of the net (unbalanced) force that can cause the acceleration?

Answer 1

Answer: The magnitude of the net (unbalanced) force that can cause the acceleration is 1690.725 N.

Step-by-step explanation:

Acceleration of the bike =[tex[\frac{velocity}{time}=\frac{45m/s}{6.00 s}=7.5 m/s^2[/tex]

Mass of the David and his bike together = 225.43 kg

Magnitude of the force that can cause the acceleration:

`Force=Mass* Acceleration=225.43 kg* 7.5 m/s^2=1690.725 N`

The magnitude of the net (unbalanced) force that can cause the acceleration is 1690.725 N.

Answer 2

As we know that acceleration is given as

`a = (v_f - v_i)/(t)`

here we know that

`v_f = 45 m/s`

`v_i = 0`

`t = 6s`

now we will have

`a = (45- 0)/(6) = 7.5 m/s^2`

now as per Newton's II law we can say

`F = ma`

`F = 225.43 * 7.5`

`F = 1690.725 N`