A body with mass 5kg is acted upon by a force F=−3→i+4→jN. If its initial velocity at t=0 is u=(6→i−12→j)m/s, the time at which it will just have a velocity along the y−axis is
A
10s
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B
2s
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C
15s
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D
never
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Solution
The correct option is A10s Step 1: Find acceleration
Formula used: →a=→Fm
Given,
Mass=5kg
→F=(−3→i+4→j)N
→u=(6→i−12→j)
The acceleration of the body is
→a=→Fm=(−3→i+4→j)N5kg=(−35→i+45→j)ms2…(i)
Step 2: Find velocity at time t.
Formula used:vx=ux+axt
Velocity of the body along x−axis at any time t is
vx=ux+axt=6−35tax from equation (i)
As the body will have a velocity along the y−axis, therefore its velocity along x−axis will be zero.