A mass of 2 kg at rest travels for 4 sec with an acceleration of 1.5 m/s2. What is the gain of momentum?

To find the gain in momentum, we first need to find the final velocity of the object. We can use the formula for velocity which is:

v = u + at

where: v = final velocity u = initial velocity a = acceleration t = time

Given in the problem: u = 0 (since the object is at rest) a = 1.5 m/s^2 t = 4 sec

Substituting these values into the formula, we get:

v = 0 + 1.5 * 4 v = 6 m/s

The momentum of an object is given by the product of its mass and velocity. So, we can find the final momentum (p) using the formula:

p = mv

where: m = mass v = velocity

Substituting the given mass and the calculated velocity, we get:

p = 2 kg * 6 m/s p = 12 kg*m/s

Since the initial momentum was zero (as the object was at rest), the gain in momentum is simply the final momentum. So, the gain in momentum is 12 kg*m/s.