A body with mass 5 kg is acted upon by a force F = (3i + 4 hatj) N. If its initial velocity at t = 0 is v = 6i - 12hatj ms^(- 1) , the time at which it will just have a velocity along the Y-axis is

A body with mass 5 kg is acted upon by a force F = (3i + 4 hatj) N. If

1.	A body with mass 5 kg is acted upon by a force F = (3i + 4 hatj) N. If its initial velocity at t = 0 is v = 6i - 12hatj ms^(- 1) , the time at which it will just have a velocity along the Y-axis is
Answer» <html><body><p>never <br/>10 s <br/>2 s <br/>15 s</p>Solution :10 s <br/> mass m = 5 kg <br/> force= <a href="https://interviewquestions.tuteehub.com/tag/f-455800" style="font-weight:bold;" target="_blank" title="Click to know more about F">F</a>= `(3hat(j )+ 4hat(j )) N` <br/> Initialvelocityat t=0 <br/><a href="https://interviewquestions.tuteehub.com/tag/acceleration-13745" style="font-weight:bold;" target="_blank" title="Click to know more about ACCELERATION">ACCELERATION</a>`vec( a ) = (vec( F))/(m )= ((-3hat(j)+ 4hat(j ))/( 5)` <br/> `v= u + at `<br/> `=(<a href="https://interviewquestions.tuteehub.com/tag/6hat-1912285" style="font-weight:bold;" target="_blank" title="Click to know more about 6HAT">6HAT</a>(j)-12hat(j))+ ((-3)/( 5) hat(j ) + (4)/( 5)hat(j )) t` <br/>Finalvelocityis <a href="https://interviewquestions.tuteehub.com/tag/along-1974109" style="font-weight:bold;" target="_blank" title="Click to know more about ALONG">ALONG</a> y -directionx - compof finalvelocity= 0 <br/> `(3t)/( 5 ) =6` <br/> `t= (5 xx 6)/(3 ) = 10 <a href="https://interviewquestions.tuteehub.com/tag/sec-1197209" style="font-weight:bold;" target="_blank" title="Click to know more about SEC">SEC</a>`</body></html>