Respuesta :
Answer:
100 m/ s²
Explanation:
Newton's Second Law of Motion:
[tex] \boxed{ \mathsf{force = mass \times acceleration}}[/tex]
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In the question:
- Force applied = 5 N
- mass of the object experiencing force = 50 g
Note that the quantities here must be in their SI units.
SI unit of Force is Newton(N).
SI unit of mass is kilogram(kg)
Force is already in it's SI unit, while mass isn't.
Converting mass from grams to kilograms:
1000 g = 1 kg
=> 1 g = 1/ 1000 kg
=> 50 g = 50/ 1000 kg
= 1/ 20 kg
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Calculating acceleration:
[tex] \mathsf{5 = \frac{1}{20} \times acceleration }[/tex]
multiplying both sides by 20:
[tex] \implies \mathsf{5 \times 20= (\frac{1}{20} \times 20)\times acceleration }[/tex]
20 on the RHS gets canceled, for it's present on the numerator as well as the denominator.
[tex] \implies \mathsf{100= acceleration }[/tex]
So, here, we got acceleration = 100 m/s².
Since, the other quantities used in the formula are in their SI units, acceleration must be in it's SI unit as well.
The SI unit of acceleration is m/s²
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Answer:
[tex] \boxed{ \mathsf{100 \:m/s^2= acceleration }}[/tex]
