A single force of magnitude 4 newtons acts on a particle of mass 50 grams - AQA - A-Level Maths Mechanics - Question 10 - 2017 - Paper 2

To calculate the acceleration ($a$) of the particle, we can use Newton's second law of motion, which states:

$F = m imes a$

Where:

• $F$ is the force applied (in newtons),
• $m$ is the mass of the particle (in kilograms), and
• $a$ is the acceleration (in m/s²).

First, we need to convert the mass from grams to kilograms:

$50 ext{ grams} = 0.05 ext{ kg}$

Now, substituting the values into the equation:

$4 = 0.05 imes a$

To find the acceleration, we rearrange the formula:

$a = \frac{F}{m} = \frac{4}{0.05} = 80 ext{ m/s²}$

Thus, the magnitude of the acceleration of the particle is 80 m s².