Grade 11Mechanics

the only force acting on a 2.0 kg body as it moves along the x axis has an x component f = -6x where x is in meters. the velocity of body at x = 3m is 8m/s.

what is the velocity at x=4m

at what position value of x will have v = 5m/s

Kabir Jain

7 Years agoGrade 11

1 Answer

Pavan Kumar

7 Years ago

hey, thank you for asking the question man,

the first thing you need to know f=m*v*dv/dx

force=mass*velocity*derivative of velocity w.r.t displacement

proof: f=m*a [a=accleration]

a=dv/dt * [ dx/dx]

a=dv/dx * dx/dt

= dv/dx * v

f=m*dv/dx * v

so given f=-6x

f= 2 * v* dv/dx = -6x

v dv = -3xdx

v²/2 = -3x²/2 + constant

given at x=3 , v= 8 substituting in the above equation we get c= 91/2

so just substitute the given readings that they have asked

have a good day.

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the only force acting on a 2.0 kg body as it moves along the x axis has an x component f = -6x where x is in meters. the velocity of body at x = 3m is 8m/s. what is the velocity at x=4m at what position value of x will have v = 5m/s

Kabir Jain

1 Answer

Pavan Kumar

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the only force acting on a 2.0 kg body as it moves along the x axis has an x component f = -6x where x is in meters. the velocity of body at x = 3m is 8m/s.

what is the velocity at x=4m

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