Aproton with mass 1.67×10⁻²⁷kg is propelled at an initial speed of 3.00×10⁵m/s directly toward a uranium nucleus 5.00 m away. the proton is repelled by the uranium nucleus with a force of magnitude f=α/x², where is the separation between the two objects and α= 2.12×10⁻²⁶ n•m². assume that the uranium nucleus remains at rest. what is the speed of the proton when it is 8.00×10⁻¹⁰m from the the uranium nucleus?

Explanation:

We are given that

Mass of proton=

Initial speed of proton=

Where x is the separation between the two objects.

We have to find the speed of the proton when it is from the uranium nucleus.

It means we have to find

By work energy theorem

W=

Substitute the values

Hence, the speed of proton when it is from the uranium nucleus=

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