Answer:
359cm
Step-by-step explanation:
The change in length of the cord due to a stretching force of 0.5N is given by Hooke's law:
ΔL = k * ΔF
Where ΔL is the change in length, k is the spring constant and ΔF is the change in force.
Since the spring constant for the cord is 3N/cm, the change in length due to a stretching force of 0.5N is:
ΔL = (3N/cm) * (0.5N) = 1.5 cm
Since the cord is already 350cm long, the total length of the cord when the stretching force is 0.5N is 350cm + 1.5cm = 351.5cm.
To find the length of the cord when the stretching force is 2.5N, we can use the same formula:
ΔL = (3N/cm) * (2.5N) = 7.5 cm
The total length of the cord when the stretching force is 2.5N is therefore 351.5cm + 7.5cm = 359cm.