In the system shown in the figure, suppose the block has a mass of 3.3 , the spring has a force constant of 490 , and the coefficient of kinetic friction between the block and the floor is 0.13.
Find the work done on the block by the spring and by friction as the block is moved from point A to point B along path 2.
Find the work done on the block by the spring and by friction if the block is moved directly from point A to point B.
To find the work done on the block by the spring and by friction as the block is moved from point A to point B along path 2, we need to calculate the work done separately by the spring and by friction.
1. Work done by the spring:
The work done by the spring can be calculated using the formula:
Work = 1/2 * k * x^2
where k is the force constant of the spring and x is the displacement of the block from its equilibrium position.
In this case, the force constant of the spring is given as 490 and the displacement of the block is given as the distance moved along path 2. So, you need to measure or calculate the distance of path 2 for this calculation.
2. Work done by friction:
The work done by friction can be calculated using the formula:
Work = force of friction * distance
The force of friction can be calculated using the formula:
Force of friction = coefficient of friction * normal force
where the coefficient of kinetic friction is given as 0.13 and the normal force can be calculated as the mass of the block multiplied by the acceleration due to gravity (9.8 m/s^2).
Once you have the force of friction, you can multiply it by the distance moved along path 2 to find the work done by friction.
To find the work done on the block by the spring and by friction if the block is moved directly from point A to point B, you can follow the same steps as mentioned above, but instead of calculating the distance along path 2, you need to measure or calculate the direct distance between point A and point B.