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A particle is fired horizontally form an...

A particle is fired horizontally form an inclined plane of inclination `30^@` with horizontal with speed `50 ms^-1`. If `g=10 ms^-2` , the range measured along the incline is

A

500 m

B

`1000/3 m`

C

`200 (sqrt2)` m

D

`100 (sqrt3)` m

Text Solution

Verified by Experts

The correct Answer is:
B
`R = (u^2)/(gcos^2beta) [sin(2alpha+beta) + sin beta]`
`u = 50m//s, g= 10m//s^2, alpha = 0^@`,
`R = (50)^2/(10 cos^2 30^@) [sin(2 xx 0 + 30^@) + sin 30^@]`
`= ((2500))/(10 xx (3//4)) (1/2 +1/2)`
`=1000/3`.
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Knowledge Check

  • A body of mass 5 kg is moved up over 10 m along the line of greatest slope of a smooth inclined plane of inclination 30^@ with the horizontal. If g = 10 m//s^(2) , the work done will be

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