A block is pushed against the spring with
spring constant 11 kN/m
To find the work done in pushing a block against a spring with a spring constant of 11 kN/m, you need to know the displacement of the block and the formula for calculating work.
The formula for calculating work is given by:
Work = (1/2)kx^2
Where:
- "Work" is the work done on the spring (in joules)
- "k" is the spring constant (in newtons per meter)
- "x" is the displacement of the block from its equilibrium position (in meters)
To determine the work done, you need to know the displacement of the block. If the block is displaced by a certain distance "x" from its equilibrium position, you plug in the values into the formula and calculate the work.
Let's assume that the block is displaced by 0.1 meters. Plugging the given values into the formula:
Work = (0.5) * (11 kN/m) * (0.1 m)^2
To continue, we need to convert the kilonewtons to newtons, as the formula requires the spring constant to be in newtons per meter.
1 kN = 1000 N, so the spring constant can be written as:
11 kN/m = 11,000 N/m
Now, we can continue the calculation:
Work = (0.5) * (11,000 N/m) * (0.1 m)^2
= (0.5) * 11,000 N/m * 0.01 m^2
= 55 N * 0.01 m^2
= 0.55 joules
Therefore, the work done in pushing the block against the spring with a spring constant of 11 kN/m and a displacement of 0.1 meters is 0.55 joules.