A spherical planet of uniform density has mass M{“version”:”1.1″,”math”:”M”} and radius R{“version”:”1.1″,”math”:”R”}. What is the kinetic energy of a satellite with mass m{“version”:”1.1″,”math”:”m”} in orbit at a height h{“version”:”1.1″,”math”:”h”} above the surface of the planet?
Read DetailsThe International Space Station is orbiting at an altitude of about 370 km above the earth’s surface. The mass of the earth is 5.97 × 1024 kg, the radius of the earth is 6.38 × 106 m, and G = 6.67 × 10−11 N∙m2/kg2. Assume the orbit is circular. (a) What is the period of the International Space Station’s orbit in seconds? (b) What is the speed of the International Space Station in its orbit? (c) The ISS has a mass of approximately 4.45 × 105 kg. Calculate the total mechanical energy of the ISS in its orbit.
Read DetailsMass m1 = 4.0 kg with initial velocity v⇀1i=5.0 m/s i^+3.0 m/s j^{“version”:”1.1″,”math”:”v⇀1i=5.0 m/s i^+3.0 m/s j^”} collides with mass m2 = 6.0 kg with initial velocity v⇀2i=-2.0 m/s i^+4.0 m/s j^{“version”:”1.1″,”math”:”v⇀2i=-2.0 m/s i^+4.0 m/s j^”} and they stick together. What is the velocity of the masses immediately after the collision?
Read DetailsGiven for substance Blinnonium: Specific heat: solid 6.0 J/(kg·K), liquid 12.0 J/(kg·K), gas 3.0 J/(kg·K) Lf = 2000. J/kg, Lv = 6000. J/kg. Melting/freezing temperature 50.°C How much heat energy must be added to 2.0 kg of solid Blinnonium initially at 50.°C to bring it to a final temperature of 110.°C?
Read DetailsHonor Statement 1: Type your name below if you can honestly confirm that you have not and will not use any resources (including other people or generative AI) other than blank scrap paper and a calculator (which is not your phone or iPad) in order to complete this exam.
Read Details