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16 votes
16 votes
A 3.2 kg ball that is moving straight upward has 17 J of kinetic energy and its total mechanical energy is 25 J.

User Kjarsenal
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1 Answer

25 votes
25 votes

Answer:

Height = 0.25 metres

Speed = 3.26 m/s

Step-by-step explanation:

Kinetic energy = 17 joules

Mechanical energy = 25

Potential energy = 25-27 = 8

Potential energy PE = m*g*h

8 = 3.2x9.81xh

8 = 31.392h

We divide through by the value of h to get height

8/31.392 = h

h = 0.25 metres

We solve for speed = velocity

Kinetic Energy = 1/2mv²

17 = 0.5x3.2xV²

17 = 1.6v²

V² = 17/1.6

V² = 10.625

V = √10.625

Velocity = 3.26m/s

User Marknery
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