A mass A is released from the top of a smooth inclined plane 18m long and reaches the bottom 3 seconds later. At the instant when A is released another body B is projected up along the same plane from the bottom.  An travels a distance up the plane and reached the bottom simultaneously with A. The two masses do not collide. Then the initial velocity of B is?

Asked by vidya.harikumar15 | 3rd Apr, 2019, 08:13: PM

Expert Answer:

f o r space t h e space f i r s t space c a s e
18 space equals 1 half cross times a cross times 3 squared
s o space a space equals space 4 m s to the power of negative 2 space end exponent
s o space t h e space a c c e l e r a t i o n space a l o n g space t h e space i n c l i n e space i s space 4 m s to the power of negative 2 end exponent
f o r space t h e space s e c o n d space p a r t
c o n s i d e r i n g space m o t i o n space u p space t h e space i n c l i n e
u sin g
v space equals space u plus space a t
h e r e space v space equals 0
a n d space f o r space t h e space h a l f space p a t h space t space equals space 3 over 2
s o space u space equals space a t space equals space 4 cross times 3 over 2 space equals space 6 m s to the power of negative 1 end exponent

Answered by Ankit K | 3rd Apr, 2019, 11:21: PM