How to Calculate Force Exerted by Water Jet on Movable Vertical Plate

What is the formula to calculate the force exerted by a water jet on a movable vertical plate?

Choose the correct answer:

O 1259.3 N

O 634.9 N

O 125.4 N

O 0.7854 N

Answer:

The correct answer is O 0.7854 N.

Calculating the force exerted by a water jet on a movable vertical plate involves several steps. First, we need to determine the mass of the water jet using the formula m = ρV, where ρ is the density of water and V is the volume. The density of water is approximately 1000 kg/m³.

Next, we calculate the volume of the water jet using the formula V = A * d, where A is the cross-sectional area and d is the diameter. The cross-sectional area is calculated as A = π * (d/2)². Given that the diameter of the water jet is 5 cm, which is equivalent to 0.05 m, we can find the volume of the water jet.

After determining the mass and volume of the water jet, we calculate the relative velocity of the water jet with respect to the movable vertical plate by subtracting the velocity of the plate from the velocity of the water jet.

Finally, we can calculate the force exerted by the water jet on the plate using the formula F = mv. By plugging in the values, we can find that the force exerted by the water jet on the movable vertical plate is approximately 0.7854 N.