Question

A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 5.70 × 1012 m/s2 in a machine. If the proton has an initial speed of 5.30 × 104 m/s and travels 3.90 cm, what then is (a) its speed and (b) the increase in its kinetic energy

Answer 1

a)

Here the proton is excecuting the uniformly accelerated motion along a straight line.

So,Here the acceleration of the proton,

initial velocity of the proton,

The distance travelled by proton,

So,The final velocity of the proton,

Applying Newtons 3rd equation of motion,

So,

So,Final velocity of proton,

Final velocity of proton,

b)

We have given the mass of proton,

Also we have initial velocity of proton,

And the final velocity of proton,

We have the initial kinetic energy of proton, and final knetic energy of proton,

So,The increase in its kinetic energy of the proton,

So,The increase in the kinetic energy of proton,

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