V=UTUL
Example 14. An electron travelling with a sheer
5 x 10^3 ms-1 passes through an electric field with a
acceleration of 10^12ms 2. (i) How long will it take for
electron to double its speed ? (ii) What will be the distance
covered by the electron in this time?
Answers
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Answer:
i ) 5× 10^-9s
ii ) 37.5 micro metres or 37.5 ×10^-6 m
Explanation:
let u =5×10^3 m/s
a= 10^12 m/s^2
v = final velocity =2u
t= time taken
s= distance travelled
Using newton laws of motion
v=u+at
2u=u+at
this implies u=at
hence t=u/a = (5×10^3)/(10^12)
t= 5×10^-9 s
also acc. to newton laws of motion
s=(v^2 -u^2)/2a
s= (4u^2- u^2)/2a
s= 3u^2/2a
s= 37.5 ×10^-6m
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