High School

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A net force of 126 N [S] is applied to a 70 kg sprinter. Determine the acceleration of the sprinter.

[Ans: 1.8 m/s² [S]]

Answer :

ACCELERATION

[tex] \color{darkblue} \mathbb{ANSWER:}[/tex]

  • Yes, the acceleration of the sprinter is 1.8 but it should be measured in meters per second squared.

[tex] \color{darkblue} \mathbb{EXPLANATION:}[/tex]

— The formula for acceleration is given by:

  • [tex] \underline{ \boxed{ \tt a = \frac{F}{m} }}[/tex]

where,

  • a is the acceleration measured in meters per second squared (m/s²)
  • F is the net Force (Newtons/N)
  • m is the mass (kilograms/kg)

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— To get the acceleration, divide the given net force by the given mass. Its quotient is the acceleration that should be measured in meters per second squared (m/s²).

Using our formula/equation, we get:

  • [tex] \tt a = \frac{F}{m} \\ \: \: \: \: \: \: \: \tt \: a = \frac{126 \:N }{70 \: kg} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \: a = \underline{ \boxed{ \purple{ \tt \: 1.8 \: m/s²}}}[/tex]

[tex] \color{darkblue} \mathbb{FINAL \: \: ANSWER:}[/tex]

  • [tex]\bold{1.8 \: m/s²} \\ [/tex]

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