Question

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:​

Answer 1

`\large{ \tt{❃ \: SOLUTION}} :`

• 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.

`\large{ \tt{✺ \: USING \: NEWTONS \: SECOND \: OF \: MOTION }}:`

`\large{♡ \: \boxed{ \: \tt{F = ma}}}`

`\large{ \tt{⟶ \: F = m * ( (v - u)/(t)) }}`

`\large{ \tt{⟶ \: F = 5 * ( (30 - 10)/(20)) }}`

`\large{ \tt{⟶ \: F = 5 * (20)/(20) }}`

`\large{ \tt{⟶ \:F = 5 * \frac{ \cancel{20}}{ \cancel{20}} }}`

`\boxed{ \large{ \tt{⟶ \: F = \: 5 \: N}}}`

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

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