A resultant force of magnitude 15N acts on a body of mass 250g . Calculate the magnitude of the acceleration

Question

ScanSolve AI Tutor · Accepted Answer

To calculate the magnitude of the acceleration, we will use Newton's second law of motion.

Identify the given values.
The resultant force ( $F$ ) acting on the body is $15 \text{ N}$ .
The mass ( $m$ ) of the body is $250 \text{ g}$ .
Convert the mass to kilograms.
Since the force is in Newtons (which is $\text{kg} \cdot \text{m/s}^2$ ), we need to convert the mass from grams to kilograms.
$m = 250 \text{ g} = \frac{250}{1000} \text{ kg} = 0.250 \text{ kg}$
Apply Newton's second law of motion.
Newton's second law states that the force acting on an object is equal to the product of its mass and acceleration ( $F = ma$ ). To find the acceleration ( $a$ ), we rearrange the formula:
$a = \frac{F}{m}$
Substitute the values and calculate the acceleration.
$a = \frac{15 \text{ N}}{0.250 \text{ kg}}$ $a = 60 \text{ m/s}^2$
The final answer is $\text{60 m/s}^2$ .

Answer