Question - Calculating Force on an Object Given Its Mass and Acceleration
Solution:
Given: $$ m = 5 \, \text{kg} $$$$ a = 3 \, \text{m/s}^2 $$The force $$ F $$ can be calculated using Newton's second law:$$ F = m \times a $$Substitute the given values:$$ F = 5 \, \text{kg} \times 3 \, \text{m/s}^2 $$Calculate the force:$$ F = 15 \, \text{N} $$
Tutor Solution:
To solve for the force when the mass and acceleration are given, we use Newton's second law of motion. Newton's second law states that the force acting on an object is equal to the mass of that object multiplied by the acceleration it undergoes. This relationship is expressed by the formula:\[ F = ma \]Where:- $$ F $$ is the force,- $$ m $$ is the mass of the object,- $$ a $$ is the acceleration of the object.Given:- The mass $$ m = 5 \, \text{kg} $$- The acceleration $$ a = 3 \, \text{m/s}^2 $$By substituting these values into the equation, we can calculate the force as follows:\[ F = 5 \, \text{kg} \times 3 \, \text{m/s}^2 \]\[ F = 15 \, \text{N} \]Thus, the force acting on the mass is 15 Newtons (N).
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