Question

If the velocity of a particle having mass 2 kg varies with time as 24t, then find the net force experienced by it at t.

a) 24 N

b) 48 N

c) 12 N

d) 96 N

Answer 1

Using Newton's second law of motion and the given velocity function, the net force experienced by the 2 kg particle with a velocity of 24t is found to be 48 N.

Step-by-step explanation:

To solve this problem, we need to apply Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by the acceleration of the object (F = ma).

We are given the mass of the particle (2 kg) and a velocity function (v = 24t), where t is the time in seconds.

Firstly, we need to find the acceleration of the particle.

Acceleration can be found by taking the derivative of the velocity function with respect to time. T

he velocity function v(t) = 24t has a derivative with respect to time:

a(t) = dv/dt

= d(24t)/dt

= 24

This shows us that the acceleration is constant and equal to 24 m/s².

Now, we calculate the force using Newton's second law:

F = ma

= (2 kg) × (24 m/s²)

= 48 N.

Therefore, the net force experienced by the particle at any moment in time will be 48 N.