A hiker of mass 49 kg is going to climb to the top of Mount Tam, which has elevation of 2574 ft. If the hiker starts climbing at an elevation of 305 ft, what will their change in gravitational potential energy in joules, once they reach the top? Assume the zero of gravitational energy is at sea level and a hint is that the change in gravitational potential energy is final potential energy minus the original!!

A 0.25 kg ball is suspended from a light 1.5 m string as shown. The string makes an angle of 31° with the vertical. Let U = 0 when the ball is at its lowest point (θ = 0). a) What is the gravitational potential energy, in joules, of the ball before it is released?  b) What will be the speed of the ball, in meters per second, when it reaches the bottom?

A 222 kg weather rocket reaches its maximum height 32 km above the Earth's surface. Determine a)The amount of gravitational potential energy at its maximum height.                              b) Its speed when it hits the ground (neglect frictional effects).

Consider the energy we use everyday in routine tasks, where that energy comes from, and where it goes.  When you climb stairs you overcome the force of gravity to raise yourself to some height.  It does not matter what the slope of the stairs are; the work done is against gravity which is always vertical so only the height counts. Take a typical human mass of 65 kg (roughly 143 lb of gravitational pull or weight) and a stairway up 3 stories which is about 9 meters.  1.What total work did you do? If you ate an original Krispy Kreme glazed donut afterward with 190 food calories, will you gain or lose as a result? 2.Walking on mostly level ground obviously consumes energy (50 food calories per kilometer). Why is this, even when no net work is done in the physics picture of force and distance?

Problem 3:   A hiker of mass 57 kg is going to climb to the top of Mount Tam, which has an elevation of 2,574 ft. Part (a)  If the hiker starts climbing at an elevation of 495 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.  ΔVg = ______ Part (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.  ΔVg = ______

1)  a) What is the work done when a box weighing 10N is lifted up onto a shelf 2m above the floor? b) If we consider the acceleration due to gravity to be 10 ms^-2 and the same box (weighing 10N) moves at 10 ms^-1 how much kinetic energy is used? c) How much potential energy does the box have when it is on the shelf? d) Thinking about the conservation of energy, if a block of mass 20kg falls off a shelf that is 3m above the ground what is the velocity of the box just before it hits the ground?

A 1200 kg roller coaster car starts at point A, then travels 165 ft at 40.0° below the horizontal to point B. (a) Taking point B to be the level where the gravitational potential energy of the car-Earth system is zero, what is the potential energy (in J) of the system when the car is at points A and B, and the change in potential energy (in J) as the coaster moves between these points? at point A at point B change in potential energy J (b) Repeat part (a), setting the zero configuration with the car at point A. at point A J at point B J change in potential energy J

A hydroelectric power facility converts the gravitational potential energy of water behind a dam to electric energy. (For each answer, enter a number.) (a) What is the gravitational potential energy (in J) relative to the generators of a lake of volume 35.0 km³ (mass = 3.50 x 10¹3 kg), given that the lake has an average height of 30.0 m above the generators? X J (b) Compare this with the energy stored in a 9-megaton fusion bomb. Elake/bomb X

You are given a cart with mass m and initial velocity v at the top of a ramp that is h meters high. If m=250 kg, v=10m/s and h= 100m, calculate the kinetic energy, potential energ, speed, and total energy at heights h, 3h/4, h/2,h/4 and 0

If, in actuality, a 750-kg car with an initial speed of 116 km/h is observed to coast up a hill and stops at a height 24.5 m above its starting point, how much thermal energy was generated by friction in J?