Question

A force of 5N produces an acceleration of 8ms-2 on a mass m and an acceleration of 24ms-2 on a mass m2 what acceleration (in ms-2) would the same force provide if both the masses are tied together

Answer 1

Explanation:

• Case 1

$f \: = \: m \: a$

$m \: = \frac{f}{a}$

$m \: = \frac{5}{8}$

$m \: = 0.625 \: kg$

• Case 2

$f \: = \: m 2\: a$

$m2 \: = \frac{f}{a}$

$m2 = \frac{5}{24}$

$m2 = 0.208 \: kg$

• Case 3

$f \: = m + m2\: \: a$

$a \: = \frac{f}{m + m2}$

$a \: = \frac{5}{0.625 + 0.208}$

$a \: = \frac{5}{0.833}$

$a \: = 6 \: m {s}^{ - 2}$