Force and Translational Dynamics

The color of a single atom in a molecule.

The uniform pressure of a gas, resulting from the collective motion of its molecules.

The mass of an individual electron.

The gravitational force exerted by a single planet.

Analyzing the combustion process within the engine.

Designing the suspension system to absorb shocks.

Calculating the car's trajectory when launched as a projectile.

Studying the airflow around the car's body to reduce drag.

The color of each bird's feathers determines the flock's direction.

The unique flight path of each bird contributes to the flock's coordinated movement.

The size of each bird's beak affects the flock's speed.

The number of birds in the flock determines the average weight of each bird.

The point where the mass of the largest object in the system is concentrated.

The average position of all the mass in the system.

The geometric center of the system.

The point where the potential energy of the system is minimized.

A closed thermos maintaining the temperature of coffee.

A plant absorbing sunlight and CO2 from its environment.

An isolated ideal gas expanding into a vacuum.

A perfectly insulated electrical wire conducting current.

2.6 m

2.8 m

3.0 m

3.2 m

$x_{cm} = \frac{m_1 + m_2}{x_1 + x_2}$

$x_{cm} = \frac{m_1x_1 - m_2x_2}{m_1 + m_2}$

$x_{cm} = \frac{m_1x_1 + m_2x_2}{m_1 + m_2}$

$x_{cm} = \frac{x_1 + x_2}{2}$

It only simplifies calculations for stationary objects.

It helps predict how a system will move and behave.

It is only relevant for systems with symmetrical shapes.

It is crucial for understanding the internal forces within a system.

At the surface of the sphere.

At the center of the sphere.

At a point outside the sphere.

It depends on the material of the sphere.