- 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 25 micro farad is charged until the potential difference across it is 500V. Calculate the charge stored at this moment.
- A launcher 1m tall fires tennis balls with a velocity of 15m/s at an angle of 20 degrees from horizontal. Neglecting air resistance, calculate the maximum height, time of flight and distance traveled by the ball.
- Calculate the gravitational force acting on the Moon, caused by the Earth, given that the masses of the Earth and the Moon are 6 x10^24 and 7.3 x10^22, respectively. The distance between the Earth and the Moon is 384 400 km.
- 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.