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A constant force of 8N acting on an object displaces it through a distance of 3.0 m in the direction of force. Calculate work-done by the force on the object.​

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[tex]\blue{\bold{\underline{\underline{Answer:}}}}[/tex]

  • [tex]\green{\tt{Work\:done=24\:J}}[/tex]

[tex]\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}[/tex]

[tex]\green{\underline{\bold{Given :}}} \\ \tt: \implies Constant \: force(F) = 8 \: N \\ \\ \tt: \implies Displacement(s) = 3 \: m \\ \\ \red{\underline{\bold{To \: Find : }}} \\ \tt: \implies Work \: Done(W.D) = ?[/tex]

According to given question :

[tex] \green{ \star} \tt \: \theta \: = 0 \degree \: \: \: \: (Angle \: between \: force \: and \: displacement) \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Work \: Done = FS \: cos \: \theta \\ \\ \tt: \implies Work \: Done = 8 \times 3 \times cos \:0 \degree \\ \\ \green{ \circ} \tt \: cos \: 0 \degree = 1 \\ \\ \tt: \implies Work \: Done =24 \times 1 \\ \\ \green{\tt: \implies Work \: Done =24 \: J}[/tex]

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