# To test out your new foam dart blaster, you hang a small cube, size 5cm on a side with mass 0.4...

## Question:

To test out your new foam dart blaster, you hang a small cube, size 5cm on a side with mass 0.4 kg, from your ceiling. You then fire a 46-gram foam dart at the bottom of it with a speed of 15.3 m/s, and the dart sticks to the cube. Calculate the height in m that the block will reach relative to where it started.

## Energy Conservation:

The energy conservation principle consists of a physical law that states that for closed systems, the total energy of the system should conserve. Energy is not created nor destroyed, it only transforms. This means that a system may undergo energy transformations, but the overall total energy of the system will remain constant. The total energy of a system can be determined by the sum of the total kinetic and potential energy of the system.

$$E_t=K_e+U_e\\ E_t=0.5mv^2+mgh$$

## Answer and Explanation:

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In order to determine the maximum height of the pendulum block, we must use momentum conservation and energy conservation principles. We use momentum...

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