Answer :
The final momentum is 120 kg m/s
Explanation:
According to the impuls theorem, the impulse exerted on an object (the product of force applied and time interval) is equal to its change in momentum. Mathematically:
[tex]F \Delta t = \Delta p = p_f - p_i[/tex]
where
F is the average force on the object
[tex]\Delta t[/tex] is the time interval during which the force is applied
[tex]p_f[/tex] is the final momentum
[tex]p_i[/tex] is the initial momentum
In this problem:
F = 30 N is the force applied
[tex]\Delta t = 4 s[/tex] is the time interval
[tex]p_i = 0[/tex] is the initial momentum, since the object starts from rest
Solving for [tex]p_f[/tex], we find the final momentum:
[tex]p_f = F\Delta t=(30)(4)=120 kg m/s[/tex]
Learn more about momentum:
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