do 47 with explanation energy of 36 joules UJ. Determine the velocity the object
ID: 1581896 • Letter: D
Question
do 47 with explanation
energy of 36 joules UJ. Determine the velocity the object is moving in units of meters per second Im/sl if the kinetic energy is given by KE 1/2mo? + 1/4mu? 47. If a ball is dropped from a height its velocity will increase until it hits the ground, r is negligible. During its fall, its initial assuming that aerodynamic drag due to the ai potential energy is converted into kinetic energy. If the ball is dropped from a height of 800 centimeters (cm], and the impact velocity is 41 feet per second [ft/sl, determine the value of gravity in units of meters per second squared [m/s1. 48. A ball is thrown vertically into the air with an initial kinetic energy of 2,500 joules [J). As the ball rises, it gradually loses kinetic energy as its potential energy increases. At the top of its flight, when its vertical speed goes to zero, all of the kinetic energy has been converted into potential energy. Assume that no energy is lost to frictional drag, etc. How high does the ball rise in units of meters [m] if it has a mass of 5 kiloorams Iko1?Explanation / Answer
As stated in the question, that there are no drag and other forces acting. We can apply conservation of energy
PE = KE
m g h = 1/2 m v^2
g = 0.5 v^2/h
h = 800 cm = 8 m ; v = 41 ft/s = 12.5 m/s
g = 0.5 x 12.5^2/8 = 9.77 m/s^2
Hence, g = 9.77 m/s^2
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