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A 0.31 kg particle has a speed of 4.0 m/s at point A and kinetic energy of 8.3 J

ID: 1532548 • Letter: A

Question

A 0.31 kg particle has a speed of 4.0 m/s at point A and kinetic energy of 8.3 J at point B. what is its kinetic energy at A? What is its speed at point B? m/s What is the total work done on the particle as it moves from A to B? A 0.25-kg stone is held 1.4 m above the top edge of a water well and then dropped into it. The well has a depth of 4.9 m. Taking y = o at the top edge of the well, what is the gravitational potential energy of the stone-Earth system Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system

Explanation / Answer

a) at point A

Ka = 1/2mva^2 = 1/2*0.31*4^2 = 2.48 J

b) Kb = 8.3 J

vb = sqrt(2kb/m) = 7.32 m/s

c) w tot = kb-ka = 7.32-2.48 = 4.84 J