Projectile Motion
A ball is launched horizontally at 12 m/s from a 20 m high cliff. What is the horizontal distance travelled by the ball?
24 meters
A 2.0 m long uniform board weighing 200 N is supported at its center. A 50 N weight is placed 0.50 m from the pivot. What is the net torque around the pivot?
25 Nm
A 2.0 kg block has a volume of 0.001 m³. What is the buoyant force on the block?
9.8 N
Following a full-scale ground invasion by the Galactic Empire, the Rebellion was routed from their hidden base on this planet.
What is Hoth?
A projectile is launched at 18 m/s at an angle of 30°. What is the maximum height of the trajectory (assume flat, level ground).
4.1 meters
A 0.80 m wrench has a force of 100 N applied perpendicular at its end. How much torque is exerted on the bolt?
80 Nm
NASA's Neutral Buoyancy Pool used for training astronauts at the Johnson Space Center is 12.2 meters deep. What is the pressure at the bottom of the pool, in kPa? (assume sea level atmospheric pressure)
219.56 kPa
These vehicles were specially designed for flight through the turbulent, perilous atmosphere of Arrakis, their name being derived from the Greek for "bird wing."
What is an ornithopter?
A soccer ball is kicked at 25 m/s at 40° above horizontal. What is the total hang time of the ball?
3.3 seconds
A 3.0 m uniform beam (weight 300 N) is placed on a fulcrum 0.8 meters from the left end. The left end is held against the ground. A 100 N mass is placed on the far right end (which is up in the air). How much force must be applied to the left end to keep it on the ground?
540 N
A wooden block floats in oil (density 900 kg/m^3) with 60% of its volume submerged. What is the density of the block of wood?
540 kg/m^3
After the Bajoran Resistance's victory against the Cardassian occupation, the space station Terok Nor was renamed to this, signifying its transition to Federation control.
What is Deep Space Nine?
A projectile is launched at 20 m/s at 53°. What is the horizontal range?
39 meters
A 4.0 m long uniform beam weighing 400 N is supported at both ends. A 600 N person stands 1.0 m from the left support. What is the force exerted by the right support?
350 N
Water flows through a pipe that narrows from 0.040 m² to 0.010 m². If the speed in the wider section is 2.0 m/s, what is the speed in the narrow section?
8.0 m/s
According to Starfleet's standardized Warp Factor scale, a starship's velocity becomes asymptotic at this value, meaning that achieving this Warp Factor would imply infinite velocity.
What is Warp Factor 10?
A ball is launched from the ground at 30 m/s at 60°. What is the speed of the projectile at its highest point?
15 m/s
A 5.0 m beam, weighing 500 N, is hinged on a wall and held horizontal by a cable attached at the free end, making 37° with the beam. What is the tension in the supporting cable?
830 N
Water exits a hole 5.6 m below the surface of a large tank. How fast does the water exit the hole?
10.5 m/s
This extremely rare, crystalline mineral is used to regulate the delicate matter-antimatter reaction that powers Federation vessels' warp cores.
What is dilithium?