A body of mass m is moving along +X-axis under the
force F = -kx. While crossing the origin its velocity is v.
Find the value of x when particle comes to rest.
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ANSWER
Given that F=i-2j, we can say that the acceleration will be a=0.5i-j since a=
m
F
and mass is given to be 2kg in this question. After this, we calculate the velocity after breaking initial velocity V=3i+4j into its components. Thus, in the x-direction, Vx=u(x)+a(x)×t=3+(0.5×4)=5 m/s.
In the y direction,V y=u ( y )+to ( and )×t=4−4=0
Therefore we get answer C, which is 5 m/s in the x direction.
Explanation:
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