Question

A particle of mass 250 g moving along the x axis has velocity v x = ( 7.6 x 3 ) m / s with x measured in m. how much work is done on the particle as it moves from x = 0.0 m to x = 2.0 m ?

49 J 75 J 110J 120 250 J 400J

Answer 1

The work done on the particle is 11.4 J.

Step-by-step explanation:

The work done on a particle is given by the equation W = Fd, where W is the work done, F is the force applied, and d is the displacement. In this case, the force is given by F = mv where m is the mass and v is the velocity.

We are given that the mass of the particle is 250 g (or 0.25 kg) and the velocity is vx = (7.6 x 3) m/s. So we can calculate the force as F = 0.25 kg x (7.6 x 3) m/s = 5.7 N.

The displacement is given by d = x2 - x1 = 2.0 m - 0.0 m = 2.0 m.

Therefore, the work done on the particle is W = 5.7 N x 2.0 m = 11.4 J.

Answer 2

The question is related to Physics and deals with calculating the work done on a particle moving along the x-axis by integrating a force function over a displacement.

Step-by-step explanation:

The subject of this question is Physics, specifically related to the work done by a variable force on a particle moving along the x-axis. Based on the provided information, we would have to integrate the force function over the given displacement to find the work done. It relates to topics like work-energy theorem, force fields, and kinematics. However, without the explicit function relating velocity to position or a force as a function of position, an exact answer cannot be provided.