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A body of mass 5 kg starts from the orig...

A body of mass 5 kg starts from the origin with an initial velocity `vec(u)=(30hati+40hatj)ms^(-1)` . If a constant force `(-6hati-5hatj)N` acts on the body, the time in which the y-component of the velocity becomes zero is

A

5s

B

20s

C

40s

D

80s

Text Solution

Verified by Experts

The correct Answer is:
C
Here, m=5kg
`bar(u)=(30 hati+40hatj)ms^(-1) and bar(F)=(-6hat i-5hatj)N `
`therefore u_(y)=40ms^(-1) and F_(y)=-5N`
`a_(y)=(F_(y))/(m)=(-5)/(5)=-1ms^(-2), v_(y)=0,`
`"As", v_(y)=u_(y)+a_(y)t or 0=40-1xxt therefore t=40s`
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