- An exoplanet of mass 1.36x10^26 kg is orbiting a star of mass 3.2x10^31 kg at a distance of 1 AU. What is the magnitude of the gravitational force between the two?
- A 25 micro farad is charged until the potential difference across it is 500V. Calculate the charge stored at this moment.
- An exoplanet, 0.01% the mass of the Sun, orbits a star 2 times the mass of the Sun at a distance of 1AU = 1.5x10^8 km. Using Newton's Law of Universal Gravitation, determine the force between the exoplanet and the star. Mass of Sun = 2x10^30kg.
- A golf ball is hit at an angle θ=45° to the horizontal with an initial speed v0. A vertical wall of height h=10m lies a distance d=20m away. Determine the minimum initial speed v0 required for the ball to clear the wall. Air resistance is negligible.
- A tall 2 meter tall basketball player shoots for the net that stands 3 meters from the ground. If he throws he ball from head height at an angle of 60 degrees and the ball travels at 10 meters per second, how far away is the hoop?