a 2.1 weight receives 210 j of kinetic energy by a launcher, which is pointed straight up.

To understand how a 2.1 kg weight receives 210 J of kinetic energy from a launcher pointed straight up, we need to break down the problem into different parts.

First, we need to know the key equation related to kinetic energy:

Kinetic Energy (KE) = (1/2) * mass * velocity^2

In this case, we are given the mass of the weight as 2.1 kg, and the kinetic energy as 210 J. We can rearrange the equation to solve for velocity:

velocity = sqrt(2 * KE / mass)

Plugging in the given values, we have:

velocity = sqrt(2 * 210 J / 2.1 kg)
= sqrt(200 J / 2.1 kg)
= sqrt(95.24 m^2/s^2)

So, the velocity of the weight when it receives 210 J of kinetic energy is approximately 9.759 m/s.