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A small sphere is projected with velocit...


A small sphere is projected with velocity `5(m)/(s)` in a direction `37^(@)` from the horizontal y-axis on a smoother inclined plane. The motion of sphere takes plane in x-y plane. Magnitude of its velocity after 2 s is:

A

`sqrt(65)`

B

`sqrt(55)`

C

`sqrt(36)`

D

`sqrt(45)`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(y)=5cos37^(@)=5xx(4)/(5)=4(m)/(s)`
`v_(x)=usin37^(@)-(gsin30^(@))xxt`
`v=sqrt(v_(x)^(2)+v_(y)^(2))=sqrt(49+16)=sqrt(65)`
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Knowledge Check

  • A particle is projected up with a velocity of v_(0)=10m//s at an angle of theta_(0)=60^(@) with horizontal onto an inclined plane. The angle of inclination of the plane is 30^(@) . The time of flight of the particle till it strikes the plane is (take g=10ms^(-2) )

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    `1//2s`
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