If the spring have a stiffness of 950N/m what workwill be done in exerding the spring be 60mm
1.71j
F = 0.060m * 950N/m = 57 N.
Work = F*d = 57 * 0.06 = 3.42 J.
To calculate the work done in compressing or extending a spring, we can use the formula:
Work = (1/2) * k * x^2
Where:
- Work is the work done on the spring (in joules)
- k is the spring stiffness or spring constant (in newtons per meter)
- x is the displacement of the spring from its equilibrium position (in meters)
In this case, the spring stiffness (k) is given as 950 N/m, and the displacement (x) is given as 60 mm, which is 60/1000 = 0.06 meters.
Plugging these values into the formula, we can calculate the work done:
Work = (1/2) * 950 N/m * (0.06 m)^2
Work = (1/2) * 950 N/m * 0.0036 m^2
Work = 1.71 joules
Therefore, the work done in extending or compressing the spring by 60 mm is 1.71 joules.