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 find the acceleration of the particle, we can use Newton's second law of motion, which states that:

$F = m imes a$

Where:

• $F$ is the force applied (in newtons),
• $m$ is the mass of the particle (in kilograms),
• $a$ is the acceleration (in meters per second squared).

Given that the force $F = 4$ N and the mass of the particle is 50 grams, we first convert the mass into kilograms:

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

Now, substitute the values into the formula to find the acceleration:

$4 = 0.05 imes a$

To solve for $a$, rearrange the equation:

$a = \frac{4}{0.05} = 80 ext{ m s}^{-2}$

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