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A net force of 50 N causes a mass to accelerate at a rate of 6.8 m/s2. Determine the mass. ​

Sagot :

  • Force=50N
  • Acceleration=6.8m/s^2

[tex]\\ \sf\longmapsto F=ma[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{F}{a}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{50}{6.8}[/tex]

[tex]\\ \sf\longmapsto m=7.3kg[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ ‎ ‎‎‎ ‎[tex]\bigstar\boxed{\large\bf{\leadsto{7.35\:kg}}}[/tex]

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[tex]\large\bf{\underline{Given:}}[/tex]

  • Force = 50 N
  • Acceleration = [tex]\bf{6.8\:ms^{-2}}[/tex]

[tex]\large\bf{\underline{According\:to\: formula:}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\underline{\boxed{\large\sf\pink{F=M\times A}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼50=M\times 6.8}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼M = \frac{50}{6.8}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼M= 7.35}[/tex]

[tex]\large\mathfrak{Therefore,\:Mass=7.35\:kg}[/tex]