Answer:
Fnet = 2782.6 N
Explanation:
- Newton's 2nd Law states that the net force applied to an object, is equal to its mass times the acceleration.
- By definition, acceleration is the rate of change of velocity with respect to time, as follows:
[tex]a = \frac{\Delta v}{\Delta t}[/tex]
where Δv = vf - v₀ and Δt = tfi - t₀, replacing by the givens:
[tex]\Delta v = v_{f} - v_{o} = 20 m/s - 29.8 m/s = -9.8 m/s[/tex]
Δt = 4.9 s
⇒[tex]a = \frac{-9.8m/s}{4.9s} = -2 m/s2[/tex]
- We can now apply Newton's 2nd Law, solving for Fnet, as follows:
[tex]F_{net} = m* a = 1391.1 kg * (-2 m/s2) = -2782.6 N[/tex]
- The magnitude of the is net force (How large it is ) is just:
- Fnet = 2782.6 N
