Question

A force acts on a particle of mass 2 kg in one dimension. In doing so, it causes the velocity of the particle to change from 15 m s−1 to 35 m s−1 while covering a displacement of 50 m. Calculate the value of the force on the particle. Assume that there are no other forces involved

Answer 1

The force acting on the particle is 16 N.

Step-by-step explanation:

To calculate the force on the particle, we can use the equation F = m * a, where F is the force, m is the mass, and a is the acceleration. In this case, we can find the acceleration by using the equation a = (v_final - v_initial) / t, where v_final is the final velocity, v_initial is the initial velocity, and t is the time taken.

Given that the mass of the particle is 2 kg, the initial velocity is 15 m/s, the final velocity is 35 m/s, and the displacement is 50 m, we can use the equation a = (35 - 15) / t to find the acceleration. Solving for t, we get t = 2.5 s. Therefore, the acceleration is (35 - 15) / 2.5 = 8 m/s².

Now, we can substitute the mass and acceleration into the formula F = m * a. Thus, the force on the particle is F = 2 kg * 8 m/s² = 16 N.