Newtons Laws Of Motion

Given, initial velocity of vehicle Stopping distance of vehicle and mass of vehicle So, from equation of motion since, final velocity of vehicle and acceleration of vehicle (acceleration) The average force for braking

To find the force acting on the particle, we need to use Newton’s second law of motion, , where is the acceleration of the particle. 1. First, we differentiate the displacement equation to get the velocity: 2. Then, we differentiate the velocity equation to get the acceleration: The acceleration is constant, . 3. Using Newton's second law: Thus, the correct answer is (E) 2.8 N.

Step 1: Understanding the Concept:
When multiple forces act simultaneously on a single body, the resulting acceleration is caused by the net vector sum of all forces.
Since the two given forces are perfectly perpendicular to each other, their resultant can be found using the Pythagorean theorem.
Step 2: Key Formula or Approach:
The magnitude of the resultant force of two perpendicular forces and is .
By Newton's Second Law of Motion, the relationship between force, mass, and acceleration is given by .
Step 3: Detailed Explanation:
The two applied forces are and .
Calculating the net force acting on the body:
We are given that the resulting acceleration is .
Substituting the net force and acceleration into Newton's Second Law formula:
Step 4: Final Answer:
The mass of the body is .