Solve using integration and please show graph: What is the energy required to lift a payload of 1000lbs a distance of 250 miles from the surface of the earth? The radius of the earth is 3900 miles. Hint: Use Newton's Law of Gravitation (F=-k/r2) and evaluate k at conditions of the surface of the earth. Answer should be in ft-lbf.

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Show and explain the complete solution with the formulas. Label the symbols used accordingly.

Please answer both parts of the question using the data given.

question below

A hiker of mass 73 kg is going to climb to the top of Mount Tam, which has an elevation of 2,574 ft. a) If the hiker starts climbing at an elevation of 545 ft, what will their change in gravitational potential energy be, in joules, once they reach the top? Assume the zero of gravitational potential energy is at sea level.  b) Repeat the above calculation for the change in gravitational potential energy, but assume the gravitational potential is zero at the top of the mountain.

Please don't provide handwritten solution....   A spring has a spring constant of 3,450 N/m. How much energy does it take in Joules to compress the spring by 0.47 m? Your Answer:

Please solve and answer the question correctly. Thank you!

You leave your car in a parking garage 46.5 ft above the ground. If your car weights 3400 lbf, what is the change in the car's gravitational potential energy? Express this quantity in units of calories.

The class I'm taking is physics for scientists and engineers! I have attached the problem below! Please view both attachments before answering. If you can please explain your answer so I can fully understand. Thank you so so much!