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Math  /  Algebra

QuestionWhat is the mass of an object that moves with an acceleration of 10 m/s/s\mathrm{m} / \mathrm{s} / \mathrm{s} from a force of 150 N ? 15 kg 25 kg 140 kg 1500 kg

Studdy Solution

STEP 1

1. We are given the acceleration of the object as 10 m/s210 \, \mathrm{m/s^2}.
2. The force applied on the object is 150 N150 \, \mathrm{N}.
3. We need to find the mass of the object.
4. We will use Newton's second law of motion, which states that Force = mass ×\times acceleration.

STEP 2

1. Identify the formula to use.
2. Substitute the given values into the formula.
3. Solve for the mass of the object.

STEP 3

Identify the formula to use. According to Newton's second law of motion:
F=m×a F = m \times a
where F F is the force, m m is the mass, and a a is the acceleration.

STEP 4

Substitute the given values into the formula. We know F=150 N F = 150 \, \mathrm{N} and a=10 m/s2 a = 10 \, \mathrm{m/s^2} .
150=m×10 150 = m \times 10

STEP 5

Solve for the mass of the object. Divide both sides of the equation by 10 10 to isolate m m :
m=15010 m = \frac{150}{10} m=15 kg m = 15 \, \mathrm{kg}
The mass of the object is:
15 kg \boxed{15 \, \mathrm{kg}}

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