(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 5 X 109 kg and its center of mass is 28.0 m above the surrounding ground? J (b) What is the ratio of this energy to the daily food intake of a person (1.2 X 107 J)?
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- During a workout, a football player ran up the stadium stairs in 45 seconds. The stairs are 63m long and inclined at an angle of 27.5 (in other words, the hypotenuse of the triangle is 63m). If a typical player has a mass of 85kg, estimate the average power output on the way up. Ignore friction and air resistance.How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 9 ✕ 109 kg and its center of mass is 42.0 m above the surrounding ground?J(b) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)?(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 8 x 10° kg and its center of mass is 36.0 m above the surrounding ground? (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 10' J)?
- A cord is used to vertically lower an initially stationary block of mass M = 13 kg at a constant downward acceleration of g/5. When the block has fallen a distance d = 4.4 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive)(a) You wish to move a square box (0.3m by 0.3m) by 1m across a pavement. Given that the box has of a mass of 80kg, by which way, rolling or sliding, will you need more energy? Why? The coefficient of friction between the pavement and the box is 0.6 (Hint: consider the energy used to roll equals to the work done to raise the centre of mass). Gravitational acceleration g 9.81m/s² (? = (b) Based on the above, what would be the value of the coefficient of friction to yield the same energy by sliding and rolling when moving the box by the same length? (? 1m Direction ☐ Sliding RollingThe force of attraction on an object below Earth’s surface is directly proportional to its distance from Earth’s center. Find the work done in moving a weight of w lb located a mi below Earth’s surface up to the surface itself. Assume Earth’s radius is a constant r mi.
- An archer using a simple bow exerts a force of 189 N to draw back the bow string 0.49 m. (Assume the given force is the force exerted at the very end of the pull.) (a) What is the total work (in J) done by the archer in preparing to launch her arrow? (Hint: Compute the total work as: total work = 1 2 [Ffinal − Finitial]d.) J (b) If all the work is converted into the kinetic energy of the arrow upon its release, what is the arrow's speed (in m/s) as it leaves the bow? Assume the mass of the arrow is 0.021 kg and ignore any kinetic energy in the bow as it relaxes to its original shape. m/s (c) If the arrow is shot straight up, what is the maximum height (in m) achieved by the arrow? Ignore any effects due to air resistance in making your assessment. (Assume the arrow is initially 2 m from the ground.) m(a) How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 5 x 109 kg and its center of mass is 23.0 m above the surrounding ground? (Enter a number.) (b) What is the ratio of this energy to the daily food intake of a person (1.2 x 10' J)? (Enter your answer as a ratio to the number 1. Enter a number.) :1(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 7 ✕ 109 kg and its center of mass is 30.0 m above the surrounding ground? (b) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)?
- A 5 kg block slides down a 9 m long incline that makes an angle of 55 degrees with the horizontal. The coefficient of kinetic friction between block and incline is 0.49. Calculate the work done by friction as the block slides. (Please answer to the fourth decimal place - i.e 14.3225)(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 6 ✕ 109 kg and its center of mass is 30.0 m above the surrounding ground? J(b) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)?(a) What is the average useful power output of a person who does 6.00×106J of useful work in 8.00 h? (b) Working at this rate, how long will it take this person to lift 2000 kg of bricks 1.50 m to a platform? (Work done to lift his body can be omitted because it is not considered useful output here.)