In our solar system, the constant "K" in kepler's Third Law is equal to 1 if AU and Earth years are used . Suppose astronomers found a new planet, very close to the sun. If the average distance from the planet to the sun were 1/4 AU , how long would the planets period be ?

Agas is contained in a vertical, frictionless piston–cylinder device. the piston has a mass of 3.2 kg and a cross-sectional area of 35 cm2. a compressed spring above the piston exerts a force of 190 n on the piston. if the atmospheric pressure is 95 kpa, determine the pressure inside the cylinder.

A1000-kg weather rocket is launched straight up. the rocket motor provides a constant acceleration for 16-s, then the motor stops. the rocket altitude 20-s after launch is 510-m. you can ignore any effects of air resistance. a. what was the rocket’s acceleration during the first 16-s? b. what is the rocket’s speed as it passes through a cloud 5100-m above the ground?

Scientific models are based on current knowledge, which can limit their effectiveness when new discoveries are made.