8. When a force is applied to an object, the object's acceleration (varies inversly with the square of it's mass. When the force is applied on a mass of 5kg, the acceleration is 4m/s2 If a similar force is applied to another object, its acceleration is 0.1m/s2. What is the mass of the object? Round your answer to the hundreths place.

1 answer
Question:

8. When a force is applied to an object, the object's acceleration (varies inversly with the square
of it's mass. When the force is applied on a mass of 5kg, the acceleration is 4m/s2 If a
similar force is applied to another object, its acceleration is 0.1m/s2. What is the mass of the
object? Round your answer to the hundreths place.

Answers

When a force is applied to an object, the mass of the  object rounded to the hundredths place is 0.79 kilograms.Let the first object be A.Let the second object be B.Given the following data:Mass A = 5 kgAcceleration A = 4 [tex]m/s^2[/tex]Acceleration A = 0.1 [tex]m/s^2[/tex]To find the mass of object B:First of all, we would solve for the force acting on the two objects.Translating the statement into an inverse expression, we have;[tex]F = \frac{a}{m^2}[/tex]Substituting the values into the equation, we have:[tex]F = \frac{4}{5^2}\\\\F = \frac{4}{25}\; Newton[/tex]Next, we would determine the mass of object B;[tex]\frac{4}{25} = \frac{0.1}{B^2}[/tex]Cross-multiplying, we have:[tex]4B^2 = 25[/tex] × [tex]0.1[/tex][tex]4B^2 = 2.5\\\\B^2 = \frac{2.5}{4} \\\\B^2 = 0.625\\\\B = \sqrt{0.625}[/tex]Mass B = 0.79 kgTherefore, the mass of the  object rounded to the hundredths place is 0.79 kg.Read more: https://brainly.com/question/19481077

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