A body sliding on a smooth inclined plane requires 10 s to reach the bottom, starting from rest at the top. How much time does it take to cover initial one-fourth distance, starting with speed 2 m/s at the top? Length of incline is 8 m. The acceleration of a body sliding along incline depends on angle of incline and acceleration due to gravity only.
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Class 11
>>Physics
>>Laws of Motion
>>Application of Newton's Laws of Motion
>>A body sliding on asmooth inclined plane
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A body sliding on asmooth inclined plane requires 4sec to reach the bottom after starting from rest at the top.How much time does it take to cover one fourth the distance starting from the top.
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U=0m/s
t=4sec
a=9m/s
2
(acceleration due to gravity)
s=ut+
2
1
at
2
s=0∗4+
2
1
∗9∗4∗4
s=72m
4
1
of72=18m
Now,s=18m,u=0m/s,a=9m/s
2
s=ut+
2
1
at
2
18=0∗t+
2
1
∗9∗t
2
=
2
1
∗9t
2
t
2
=2∗2
hence,t=2
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