Final answer:
Using the impulse-momentum theorem, the force required to cause a 17 kg.m/s change in momentum over 5 seconds is calculated as 3.4 N.
Step-by-step explanation:
The question relates to the concept of impulse and change in momentum in the subject of Physics. Impulse is defined as the product of the force acting on an object and the time duration over which it acts.
To find the force required to cause a 17 kg·m/s change in the momentum of an object over a period of 5 seconds, we use the impulse-momentum theorem.
The impulse-momentum theorem states that the change in momentum (Δp) is equal to the impulse (J) of the force. Impulse is also equal to the product of the average force (ΔF) and the time interval (Δt) over which the force acts.
Mathematically, this is represented as:
J = ΔF · Δt = Δp
To find the force, we rearrange this to:
ΔF = Δp / Δt
Given that the change in momentum (Δp) is 17 kg·m/s and the time (Δt) is 5 seconds, we can calculate:
ΔF = 17 kg·m/s / 5 s
= 3.4 N
Therefore, the force required is 3.4 N.