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A proton with mass 1.52*10-27 kg is propelled at an initial speed of 3.75*105 m/s directly toward a uranium nucleus 6.38 m away.

A proton with mass 1.52*10-27 kg is propelled at an initial speed of 3.75*105 m/s directly toward a uranium nucleus 6.38 m away. The proton is repelled by the uranium nucleus with a force of magnitude F = a/x2 where x is the separation between the two objects and a = 2.46 *10-26 Nm2. Assume that the uranium nucleus remains at rest. What is the speed of the proton when it is 8.80 *10-10 m from the nucleus?

Give your answer in m/s in scientific notation to three significant digits (i.e. 1.15*10^2)

Note: The numbers given in this problem do not represent actual figures, instead this is to be thought of as a theoretical calculation.

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