Question

An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of an object is decreased by a factor of 2.6, then the new acceleration would be

Answer 1

Answer on Question #47736, Physics, Mechanics | Kinematics | Dynamics

An object has an acceleration of $8.0 \, \text{m/s/s}$. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of an object is decreased by a factor of 2.6, then the new acceleration would be

Solution:

Newton's Second Law

$$a = \frac{F}{m}$$

Thus,

$$a_1 = \frac{F_1}{m_1} = 8.0 \, \text{m/s}^2$$

and

$$a_2 = \frac{F_2}{m_2} = \frac{F_1}{3.7} \cdot \frac{2.6}{m_1} = a_1 \cdot \frac{2.6}{3.7} = 8.0 \cdot \frac{2.6}{3.7} = 5.62 \approx 5.6 \, \text{m/s}^2$$

Answer: $a_2 = 5.6 \, \text{m/s}^2$.

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