1.

The initial speed of a body of mass 2.0 kg is 5.0 ms^(-1) a force fro 4s in the direction of motion of the body the force timegraph is shown in the diagram calculate the impulse of the forceand the finalspeed of the body

Answer»

SOLUTION :Givenmass = 2.0 KG
Initialspeed =5.0 `ms^(-1)`

Formula
IMPULSE of a force

`=(1)/(2) xx 1.5 xx 3 + 1 xx 3 + (1)/(2)`
`=(1)/(2) xx 4.5+ 3 + (1)/(2)xx 5 xx 0.5 +2`
`=2.25 + 3+ 1.25 + 2= 8.50 Ns`
As Impulse = changein momentum
`=mDelta v`
Changeinvelocity
`Delta v = ("impulse")/( m ) = (8.50)/(2) `
Finalspeedof thebodyInitialspeed`+Delta v = 5.0+ 4.25 = 9.25 ms^(-1)`


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