The roadies at a music concert have to get a piano weighing 2500 N onto a stage 1.5 m high. They have a 6 m-long ramp.Calculate the ideal mechanical advantage of the ramp.With the piano on a small trolley they have to exert 700 N force to push it up the ramp. Determine the actual mechanical advantage of the ramp.Is the actual mechanical advantage greater than, less than, or the same as the ideal mechanical advantage? Explain why this would be.In a world with no friction, calculate the effort force the roadies would need to apply to get the piano up the ramp.Note: Show your calculations.

The ideal mechanical advantage (IMA) of a simple machine like a ramp (also known as an inclined plane) is calculated by the formula:

IMA = Length of ramp / Height of ramp

Substituting the given values:

IMA = 6 m / 1.5 m = 4

So, the ideal mechanical advantage of the ramp is 4.

The actual mechanical advantage (AMA) is calculated by the formula:

AMA = Load force / Effort force

Substituting the given values:

AMA = 2500 N / 700 N = 3.57 (rounded to two decimal places)

So, the actual mechanical advantage of the ramp is 3.57.

Comparing the IMA and AMA, we can see that the actual mechanical advantage is less than the ideal mechanical advantage. This is because in real-world situations, friction and other forces (like air resistance) reduce the effectiveness of simple machines. These forces require additional effort to overcome, which reduces the mechanical advantage.

In a world with no friction, the effort force required to move the piano up the ramp would be equal to the weight of the piano divided by the IMA. This can be calculated as follows:

Effort force = Load force / IMA

Substituting the given values:

Effort force = 2500 N / 4 = 625 N

So, in a world with no friction, the roadies would need to apply a force of 625 N to get the piano up the ramp.