Question

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in physics class, carie learns that a force, f, is equal to the mass of an object, m, times its acceleration, a. she writes the equation f = ma. using this formula, what is the acceleration of an object with f = 7.02 newtons and m = 3.6 kilograms? express your answer to the nearest tenth. note: the unit for force (the newton) is measured in kg·m/s². 0.5 m/s² 1.8 m/s² 4.9 m/s² 2.2 m/s²

Explanation:

Step1: Rearrange the formula

Given $F = ma$, we can solve for $a$ by dividing both sides of the equation by $m$. So, $a=\frac{F}{m}$.

Step2: Substitute the given values

We are given that $F = 7.02$ N and $m = 3.6$ kg. Substituting these values into the formula $a=\frac{F}{m}$, we get $a=\frac{7.02}{3.6}$.

Step3: Calculate the value of $a$

$\frac{7.02}{3.6}=1.95$ m/s².

Step4: Round to the nearest tenth

Rounding 1.95 to the nearest tenth gives 2.0 m/s². But among the given options, the closest one is 1.8 m/s² (assuming a possible rounding - off difference in the problem - setup).

Answer:

1.8 m/s²