if u measured all the energy related to motion, and all the stored energy in the particles of a substance, you would be measuring?

The mechanical energy.

A projectile is fired horizontally from a gun that is 46.0 m above flat ground, emerging from the gun with a speed of 250 m/s.

(a) How long does the projectile remain in the air?

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If you measured all the energy related to motion, you would be measuring the kinetic energy of the substance. Kinetic energy is the energy possessed by an object due to its motion.

To measure the kinetic energy of a substance, you can follow these steps:

1. Determine the mass (m) of the substance. This can be done using a balance or other appropriate measuring equipment.

2. Measure the velocity (v) of the substance. This can be done using a speedometer or velocity measuring device.

3. Apply the kinetic energy formula: KE = (1/2) * m * v^2.

4. Plug in the mass and velocity values into the formula and calculate the kinetic energy.

On the other hand, if you measured all the stored energy in the particles of a substance, you would be measuring the potential energy of the substance. Potential energy is the energy possessed by an object due to its position or state.

To measure the potential energy of a substance, you need to identify the specific type of potential energy relevant to the situation. Some common types of potential energy include gravitational potential energy, elastic potential energy, chemical potential energy, etc. Each type of potential energy has its own specific formulas and measurement methods.

For example, to measure gravitational potential energy, you can use the following steps:

1. Determine the mass (m) of the substance.

2. Determine the height (h) or vertical position of the substance relative to a reference point.

3. Apply the gravitational potential energy formula: PE = m * g * h.

4. Plug in the mass, height, and gravitational acceleration (g) values into the formula and calculate the potential energy.

Remember, both kinetic energy and potential energy are important concepts in understanding the energy of a substance, and they can be measured using appropriate formulas and techniques based on their respective definitions.