What is the acceleration of an object if a force of 30 N is applied to a 6 kg object?
A. $3 m / s ^2$
B. $10 m / s ^2$
C. $5 m / s ^2$
D. $15 m / s ^2$
Answer (2)
Apply Newton's Second Law of Motion: F = ma .
Rearrange the formula to solve for acceleration: a = m F .
Substitute the given values: a = 6 30 .
Calculate the acceleration: a = 5 m/s 2 . The answer is 5 m/s 2 .
Explanation
Understanding the Problem We are given a force of 30 N applied to an object with a mass of 6 kg. We need to find the acceleration of the object. Newton's Second Law of Motion states that Force = mass × acceleration, or F = ma .
Rearranging the Formula To find the acceleration, we need to rearrange the formula to solve for a : a = m F .
Substituting the Values Now, we substitute the given values into the formula: a = 6 kg 30 N .
Calculating the Acceleration Performing the calculation, we get a = 5 m/s 2 .
Final Answer Therefore, the acceleration of the object is 5 m/s 2 , which corresponds to option c.
Examples
Newton's Second Law is fundamental in understanding how objects move when forces are applied. For example, consider a car of mass 1000 kg accelerating from 0 to 20 m/s in 10 seconds. The average acceleration is a = Δ t Δ v = 10 s 20 m/s = 2 m/s 2 . Using Newton's Second Law, the force required is F = ma = 1000 kg × 2 m/s 2 = 2000 N . This force is provided by the engine and transmitted to the wheels, allowing the car to accelerate. Understanding these principles helps engineers design vehicles and predict their performance.
Using Newton's Second Law of Motion, the acceleration of an object with a mass of 6 kg subjected to a force of 30 N can be calculated by the formula a = m F . Substituting the values gives an acceleration of 5 m/s 2 , which is the correct answer. Thus, the chosen option is C.
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