An object weighs on Earth. A second object weighs on the moon. Which has the greater mass?
Sam the rock climber can climb his favorite route at the gym 20 times before he runs out of energy. Approximately how many times would he be able to climb the same route if it were built on Mars?
Details and Assumptions:
Consider a small black ball of radius and density located at a certain distance above the surface of the Sun. For what radius in micrometers is the gravitational attraction of the Sun counterbalanced by the radiation force?
Assume that the black ball absorbs all the incident light and that the total power radiated by the Sun is .
Details and assumptions
The mass of the Sun is . The universal constant of gravitation is and the speed of light .
What is the minimum amount of energy required to irreversibly blow up our lovely planet into smithereens?
Details and assumptions
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Model the Earth as sphere of uniform volume density composed of tiny neutral pieces of mass.
The radius of the Earth is .
The mass of the Earth is
Newton's gravitational constant is
A ball is thrown up from the ground with an initial velocity of 10 meters per second. What is the maximum height (in meters) that it can reach?
Ignore air resistance and take the acceleration due to gravity as .