A force of 80 N is exerted on an object on a frictionless surface for a distance of 4 meters. If the object has a mass of 10 kg, calculate its velocity. v =

Respuesta :

W=ΔKE
F(d)=(1/2)mv^2
v=sqrt((2F(d)/m))
v=sqrt(2(80)(4)/10)
v=sqrt(640/10)
v=8


Answer: The velocity of the object will be 8m/s.

Explanation:

Force exerted on the object = 80 N

Distance displaced by object by the action of force = 4 m

Mass of the object =  10 kg

Velocity gained by the object = v

Kinetic energy of the object =  Work done on the object

[tex]\frac{1}{2}mv^2=Force\times displacement[/tex]

[tex]\frac{1}{2}\times 10\times v^2=80 N\times 4 m[/tex]

[tex]v^2=64 m^2/s^2[/tex]

[tex]v=8 m/s[/tex]

The velocity of the object will be 8m/s.