4. A 5.0 g marble is fired vertically upward using a spring gun. The spring must be compressed 8 cm if the marble is to reach a target 20 m above the marble’s position on the compressed spring. (a) What is the change ∆Ug in the gravitational potential energy of the marble-Earth system during the 20 m ascent? (b) What is the change ∆Us in the elastic potential energy of the spring during it’s launch of the marble? (c) What is the spring constant of the spring?

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?

Much of the information taught in earth-space science would not be available if it weren’t for our remote sensing abilities. explain two ways our remote sensing strategies contribute to our knowledge of these topics.