Troy Invitational — Hovercraft

The “Renegade IQ Hovercraft” has a mass of 161 kg. How much downward thrust in kN is required to make it hover when there are two 75.0 kg passengers on board?

The Renegade has a top speed of 76 km/h. If it takes 14.0 s to reach top speed, how far must it travel (meters) from rest to attain its top speed? (Assume a constant acceleration)

Neglecting friction, calculate the minimal thrust in kN required to accelerate the Renegade in part b.

At the Inland Empire Regional Competition a team from Riverside High School has a hovercraft that has a mass of 950 gram with no rolls of pennies on its. On their first run, their hovercraft takes 9.50 seconds to travel the 200 cm required track length. How many rolls of pennies should they add to go as close to 15.0 s as possible on their second run? (Assume their hovercraft accelerates for the entire run and 125 g = 1 roll)

If H = 4.000 m and h = 45.0 cm calculate R in meters.

Water flows in a 12.0 cm diameter pipe with a pressure of 155 kPa at a speed of 50.0 cm/s. The pipe rises up and constricts to a diameter 2.50 cm as shown. If h₁ is 1.00 m and h₂ is 7.00 m calculate (A) the flow rate and (B) pressure in the smaller pipe.

Brass has a density of 8,600 kg/m³ and glycerin has a density of 1,260 kg/m³. Calculate the buoyant force on a brass block that is 10.5 cm long, 12.3 cm wide, and 15.0 cm high when it is in glycerin.

Find the acceleration of the system of masses shown. The masses are all given as multiples of ‘m’ and the coefficient of kinetic friction on all surfaces is 0.200.

A bent tube is lowered into a water stream as shown in the diagram. The velocity of the stream relative to the tube is equal to v = 2.5 m/s. The closed upper end of the tube located at a height h₀ = 12 cm has a small orifice. To what height h will the water jet spurt?

A small object of mass m slides down a smooth hill of height h from rest and gets onto a plank of mass M lying on the horizontal, frictionless plane at the base of the hill, as seen in the diagram below. Due to friction between the object and plank, the object and plank move as a single piece. What is the total work performed by friction forces in this process?

Three identical disks A, B, and C, rest on a smooth horizontal surface, as shown in the diagram. The disk A is set into motion with speed v₀ after which it experiences an elastic collision simultaneously with the disks B and C. The distance between the centers of the latter disks prior to the collision is times greater than the diameter of each disk. What value of will have disk A stop as a result of the collision?