A 10g mass placed on the pan of a spring balance causes an extension of 5cm.if a 15g mass is placed on the pan of the same spring balance the extension is?

Answer 1

To find the extension caused by the 15g mass on the spring balance, we can use the concept of proportionality in Hooke's Law.

Hooke's Law states that the extension of a spring is directly proportional to the force applied to it. Mathematically, it can be expressed as:

F = kx

Where:
F = force applied to the spring
k = spring constant
x = extension of the spring

Since the mass and the force applied are directly proportional, we can write:

(m1/m2) = (x1/x2)

Where:
m1 = 10g
m2 = 15g
x1 = 5cm

Now we can find x2:

(10/15) = (5/x2)

10x2 = 75

x2 = 7.5cm

Therefore, the extension caused by the 15g mass on the spring balance is 7.5cm.