Speed and Energy (Someone check my work please)

AI Thread Summary
The discussion focuses on the calculations for a proton's speed and kinetic energy after being accelerated. The proton, with a mass of 1.67e-27 kg, is accelerated at 2.4e15 m/s² over a distance of 3.1 cm. The final speed calculated is approximately 2.7e7 m/s, and the increase in kinetic energy is about 1.2e-13 J. The calculations were confirmed to be correct, though it was noted that units were omitted and excessive significant figures were used. Overall, the results align with the expected physics principles.
GalacticSnipes
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Homework Statement


A proton (mass m = 1.67e-27 kg) is being accelerated along a straight line at 2.4e15 m/s2 in a machine. The proton has an initial speed of 2.4e7 m/s and travels 3.1 cm.

(a) What is its speed?

(b) What is the increase in its kinetic energy?

Homework Equations


V^2 = Vo^2+2ad
KE = 0.5m(Vavg)^2
KE = 0.5m(Vf^2-Vi^2)

The Attempt at a Solution


(a) V^2 = 2.4e7 + 2(2.4e15)(.031)
V^2 = 7.248e14
V = 2.69221e7

(b) KE = 0.5(1.67e-27)((2.69221e7)^2-(2.4e7)^2)
KE = 1.24248e-13
 
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Your calculations look fine, but you've left off units and specified too many significant figures in the results.
 
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Likes gracy
So for (a) 2.7e7 m/s and for (b) 1.2e-13 J?
 
Yes.
 
ok thx
 
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