The planet Mercury travels around the Sun with a mean orbital radius of 5.8x100 m. The mass of the Sun is 1.99x1030 kg. Use Newton's version of Kepler's third law to determine how long it takes Mercury to orbit the Sun. Give your answer in seconds.

When a resistor with resistance r is connected to a 1.50-v flashlight battery, the resistor consumes 0.0625 w of electrical power. (throughout, assume that each battery has negligible internal resistance.) what power does the resistor consume if it is connected to a 12.6-v car battery? assume that r remains constant when the power consumption changes.

The free body diagram shows a box being pulled to the left up a 25-degree incline. the magnitude of the normal force is

Given the data calculated in parts a, b, c, and d, determine the initial rate for a reaction that starts with 0.85 m of reagent a and 0.70 m of reagents b and c?