Question

What force is needed to pull one microscope slide over another at a speed of (1.00 , cm/s), if there is a (0.500 , mm-)thick layer of (20ᶜirc , C) water between them and the contact area is (8.00 , cm²)?

a) (0.2 , N)
b) (0.5 , N)
c) (1.0 , N)
d) (2.0 , N)

Answer 1

The force needed to pull one microscope slide over another at a speed of 1.00 cm/s with a layer of water can be calculated using the equation Force = viscosity * velocity * area / thickness

Step-by-step explanation:

The force needed to pull one microscope slide over another can be calculated using the equation:

Force = viscosity * velocity * area / thickness

First, we need to convert the thickness of the water layer from millimeters to meters: 0.500 mm = 0.0005 m. Next, we convert the speed from centimeters per second to meters per second: 1.00 cm/s = 0.01 m/s. Now we can calculate the force:

Force = viscosity * 0.01 m/s * 8.00 cm² / 0.0005 m

Force = viscosity * 16 N

The force can be calculated by dividing the given force by 16 N:

Force = (0.00, N) / 16 N

The force needed to pull the microscope slide over another at a speed of 1.00 cm/s is approximately 0.00, N.