venkatg said:Workdone is F * distance.
Normal force as you said is mgcos28. But the distance is zero!
So no work is done by the normal force.
tica86 said:Ok, I understand the definition of Work done but how do you know that the distance is zero?
Since the piano is sliding in the horizontal direction the 3.6 distance is horizontal and since normal force is vertical there is no distance??
If there was acceleration the net work done on the piano would NOT be 0 right?
venkatg said:Yes the the normal force does not cause any movement and so distance is zero.
This is the case even if there was acceleration in the horizontal direction (in this case along the incline)
The work done by normal force on a sliding piano refers to the force exerted by the surface on which the piano is sliding, perpendicular to the direction of motion. It is calculated by multiplying the magnitude of the normal force by the displacement of the piano in the direction of the force.
The normal force on a sliding piano can be calculated by using the equation FN = mg cos θ, where m is the mass of the piano, g is the acceleration due to gravity, and θ is the angle of inclination of the surface on which the piano is sliding.
The work done by normal force on a sliding piano is directly proportional to the normal force applied and the displacement of the piano in the direction of the force. This means that the more force applied and the greater the displacement, the more work is done on the piano.
Yes, the work done by normal force on a sliding piano can be negative if the angle of inclination of the surface is greater than 90 degrees. In this case, the normal force is acting in the opposite direction of the displacement, resulting in negative work being done.
One example is pushing a heavy box along a ramp. The normal force exerted by the ramp on the box is perpendicular to the ramp's surface and the direction of motion, and thus does work on the box. Another example is sliding furniture across a carpeted floor, where the normal force of the carpet on the furniture does work in the direction of motion.