Question

When you try to stretch a bungee cord a distance x, it resists with an opposing force of the form b x2 , where b is a constant. If b is measured to be 6 N/m2 , how much work does it take to stretch the bungee cord a distance of 1 meterA.2JB.3JC.0.5JD. 1J

Answer 1

Answer:

B. 3J

Explanation:

Work done to stress a spring = 1/2Fe ............. equation 1

Where F = force required to stretch the spring, e = extension.

Where

F =bx²............................. Equation 2

Given: x = 1 m, b = 6 N/m²

Substitute into equation 2

F = 6(1)²

F = 6 N.

Also substitute the value of F into equation 1

Work done to stress a spring = 1/2(6)(1)

Work done to stress a spring  = 6/2

Work done to stress a spring  = 3 J

Hence the right option is B. 3J