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A force of 30 N is exerted on an object on a frictionless surface for a distance of 6.0 meters. If the object has a mass of 10 kg, calculate its velocity. Use significant figures.g = 9.8 m/s^2v=○ 36 m/s○ 18 m/s○ 6.0 m/s○ 4.0 m/s

Sagot :

Given,

The force exerted, F=30 N

The distance for which the force is applied, s=6.0 m

The mass of the object, m=10 kg

The initial velocity, u=0 m/s

From Newton's second law,

[tex]F=ma[/tex]

Thus the acceleration of the body is given by,

[tex]a=\frac{F}{m}[/tex]

From the equation of the motion,

[tex]\begin{gathered} v^2=u^2+2as \\ \Rightarrow v^2=u^2+2\times\frac{F}{m}\times s \\ \Rightarrow v=\sqrt[]{u^2+2\times\frac{F}{m}\times s} \end{gathered}[/tex]

On substituting the known values, the final velocity of the object is

[tex]\begin{gathered} v=\sqrt[]{0+2\times\frac{30}{10}\times6} \\ =6\text{ m/s} \end{gathered}[/tex]

Thus the velocity of the object is 6 m/s