A WOOD block having a mass of8kg and this wood block is moved by a person during the motion the accletation of this wood block was 5m/s square and the work done of this wood block is 10joule .How much distance would this wood block can cover
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force acting on a body is given by:
F=ma(F and a is vector quantity)-------(i)
where,
m- mass of body ; and a- acceleration of body
while work done by the body after covering the distance 'd' is given by:
W=F.d(F and d are vector quantity)----(ii)
using above relation we will first find the force acting on body ,which is given by
F=ma
F=8kg*5m/s
=40kg m/s=40N
now, we know the work done by body so we will find the distance covered by body
using (ii) relation W=F.d=Fdcos@
@=0
so,
w
W=F*d*cos0
=F*d [(cos0=1)]
therefore,
10J=40N*d
d=10J/40N
d=0.25m
=25cm
so,distance covered by wood block is 0.25m or 25cm.
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