Question

Mission NL7: Newton's Second Law

An object has an acceleration of 3.0 m/s/s. If the net
force experienced by the object is decreased by a
factor of 2.1 and if the mass of the object is decreased
by a factor of 3.4, then the new acceleration would be
m/s/s. Enter a numerical answer, accurate to the
second decimal place.

Answer 1

The new acceleration of the object would be 1.85 m/s².

Newton's second law of motion

Newton's second law of motion states that, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

$k = \frac{F}{ma} \\\\\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}\\\\a_2 = \frac{F_2 m_1 a_1}{F_1 m_2} \\\\a_2 = \frac{2.1F_1 \times m_1 \times 3}{F_1 \times 3.4m_1} \\\\a_2 = 1.85 \ m/s^2$

Thus, the new acceleration of the object would be 1.85 m/s².

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