Two small diameter, 10gm dielectric balls can slide freely on a vertical channel each carry a negative charge of 1microcoulomb.

Answer:

The energy unit is expressed as kg-m/s or Joules.

Explanation:

The relationship between mass and energy in physics is represented by:

Where

m denotes the mass of the object

c signifies the speed of light

In the SI system, mass is measured in kilograms and the speed of light in m/s. Therefore, energy is defined in kg-m/s, which is equal to Joules.

Thus, the appropriate SI unit for energy is kg-m/s or Joules. This concludes the explanation.

<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>

Given the values: m = 1160 kg g = 9.81 m/s² v = 2.5 m/s Unknowns include: k (spring constant) x (spring compression) 1. To address this, use Newton's second law and Hook's law: 2. The total energy in the spring must correspond to the satellite's energy: By combining these two equations

The average acceleration is

Response:

(a) 104 N

(b) 52 N

Clarification:

Provided Information

Incline angle of the ramp: 20°

F forms a 30° angle with the ramp

The parallel component of F along the ramp is Fx = 90 N.

The perpendicular component of F is Fy.

(a)

Consider the +x direction pointing up the slope, and the +y direction perpendicular to the ramp's surface.

Using the Pythagorean theorem, decompose F into its x-component:

Fx=Fcos30°

To find F:

F= Fx/cos30°

Insert the value for Fx based on the given info:

Fx=90 N/cos30°

   =104 N

(b) Calculate the y-component of r using the Pythagorean theorem:

     Fy = Fsin 30°

Substituting for F from part (a):

     Fy = (104 N) (sin 30°)  

          = 52 N