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16. a force of 36 n was required to accelerate an object at a rate of 3…

Question

  1. a force of 36 n was required to accelerate an object at a rate of 3 m/s/s. what was the object’s mass?

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  1. what is the force required to accelerate a 22 kg object at a rate of 3.8 m/s/s?

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(plug and chug)\tanswer & label
(# & unit)

Explanation:

Step1: Recall Newton's second law

$F = ma$ (rearranged to $m=\frac{F}{a}$ for mass)

Step2: Substitute values for Q16

$m=\frac{36\ \text{N}}{3\ \text{m/s}^2}$

Step3: Calculate mass for Q16

$m=12\ \text{kg}$

Step4: Use Newton's second law for Q17

$F = ma$

Step5: Substitute values for Q17

$F=22\ \text{kg} \times 3.8\ \text{m/s}^2$

Step6: Calculate force for Q17

$F=83.6\ \text{N}$

Answer:

For Question 16:

Equation: $m=\frac{F}{a}$
Substitution: $m=\frac{36\ \text{N}}{3\ \text{m/s}^2}$