A body of mass 5 kg moving with velocity 10m/s attains a velocity of 30m/s in 20 seconds, after applying the force. The amount of force applied will be:​

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Answer:

[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]

  • We're provided - mass ( m ) = 5 kg , initial velocity ( u ) = 10 m / s , final velocity ( v ) = 30 m / s , Time taken ( t ) = 20 sec and we're asked to find out the amount of force applied.

  • Here , we'll use ' F = ma ' in order to find out the amount of force applied where ' F ' refers to Force applied , ' m' refers to mass of the body and ' a ' refers to acceleration.

  • Since we aren't provided the acceleration , we're gonna use ' v - u / t ' where ' v ' refers to final velocity , ' u ' refers to initial velocity & ' t ' refers to time taken.

[tex] \large{ \tt{✺ \: USING \: NEWTONS \: SECOND \: OF \: MOTION }}: [/tex]

[tex] \large{♡ \: \boxed{ \: \tt{F = ma}}}[/tex]

[tex] \large{ \tt{⟶ \: F = m \times ( \frac{v - u}{t}) }}[/tex]

[tex] \large{ \tt{⟶ \: F = 5 \times ( \frac{30 - 10}{20}) }}[/tex]

[tex] \large{ \tt{⟶ \: F = 5 \times \frac{20}{20} }}[/tex]

[tex] \large{ \tt{⟶ \:F = 5 \times \frac{ \cancel{20}}{ \cancel{20}} }}[/tex]

[tex] \boxed{ \large{ \tt{⟶ \: F = \: 5 \: N}}}[/tex]

  • Hence , the amount of force applied will be 5 Newton .

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