While we usually assume that the force of gravity is constant, it actually decreases with altitude according to the formula Fgrav = mgr^2_o / r^2, where ro is the radius of Earth, and r is the distance from the Earth's center.
a) Why can we approximate the force of gravity as constant at the surface of Earth?
b) Show that a(r)dr = vdv.
c) If the particle is fired vertically with velocity vo from Earth's surface, determine its velocity as a function of position r. (Hint: use the result of part b)

What is the magnitude of the resultant vector round your answer to the nearest tenth

Apositive charge moves in the direction of an electric field. which of the following statements are true? check all that apply. check all that apply. 1.the potential energy associated with the charge decreases. 2. the electric field does positive work on the charge. 3. the electric field does negative work on the charge. 4. the potential energy associated with the charge increases. 5. the electric field does not do any work on the charge. 6. the amount of work done on the charge cannot be determined without additional information.

Estimate the change in the gibbs energy and molar gibbs energy of 1.0dm3 of octane when the pressure acting on it is increased from 1.0 atm to 100 atm. the mass density of octane is 0.703 g cm−3