A 25.0 g marble sliding to the right at 20.0 cm/s overtakes and collides elastically with a 10.0 g marble moving in the same dir

Answer:

The excess charge is

Explanation:

According to the question, we are informed that

The diameter is

The potential of the surface is

The radius of the sphere is

by plugging in given values

The potential at the surface is mathematically expressed as

Where k is Coulomb's constant with a value

Based on the question stating there are no other charges, Q represents the excess charge

Therefore

inserting the numerical values

<span>First, apply Newton's second law of motion: F = ma. Force equals mass times acceleration. This law describes force as the product of mass multiplied by acceleration (which is different from velocity). As acceleration is the variation in velocity over time, we have force = (mass * velocity) / time, leading us to conclude that (mass * velocity) / time will equal momentum / time. Hence, we derive the equation mass * velocity = momentum. Momentum = mass * velocity. For the elephant, with a mass of 6300 kg and velocity of 0.11 m/s, Momentum = 6300 * 0.11, resulting in P = 693 kg (m/s). For the dolphin, having a mass of 50 kg and moving at 10.4 m/s, Momentum = 50 * 10.4, yielding P = 520 kg (m/s). Thus, the elephant has a greater momentum (P) due to its larger size.</span>

Response:

To find power, we must first determine the work done by the force.

1) We will use the following equation to calculate work:

The force is provided by the problem; our goal is to express 'dx' in terms of 't'

2) It's known that:

Thus, we have:

Then:

3) Finally, substituting all known values gives us:

After some calculations, the resulting work is:

161.9638 J.

4) To find power, we will use the following equation:

Thus

P = 161.9638/4.7 = 34.46 W