Systems of Particles & Linear Momentum

At the geometric center of the triangle

Midpoint of one side

One of the original corners

Outside the triangle along perpendicular bisector

By calculating where most of its weight is located.

By finding where it balances on a single point.

Through experimental measurements only.

It is located at the geometric center of the object.

It remains equal to the total initial momentum.

It halves compared to the total initial momentum.

It doubles compared to the total initial momentum.

It becomes zero regardless of the individual momenta.

All maintain equal speeds regardless altitude differences

Higher altitude one due reduced gravitational influence facilitating quicker travel

Lower altitude satellite maintains highest orbital speed

They vary unpredictably because other factors like solar radiation pressure space debris impact more than weightlessness factor alone

Tangential and normal components both become zero as the ball stops completely for an instant.

Normal component reverses direction while tangential acceleration remains constant due to inertia effects.

Both tangential and normal accelerations increase uniformly until the ball ceases to move upwards on the incline plane.

The tangential component becomes zero while normal component remains unchanged due to gravity's consistent effect perpendicular to plane's surface.

At x = $\frac{3}{4} L$

At x = L

At x = $\frac{L}{2}$

At x = $\frac{L}{4}$

As concentration moves outward toward the shell surface, centrifugal effects become more pronounced, affecting directional stability, especially in high revolution per minute scenarios.

Since there is no internal structure within the hollow body resisting deformation during motion, the structural integrity could be compromised over time, leading to failure at critical points of stress concentration areas.

Difference in moments of inertia means a hollow sphere will experience different angular accelerations under the same net torque compared to a solid sphere.

Due to the lack of material inside the sphere, conservation of momentum dictates a lower final speed for any given impulse application despite similar shapes and sizes.

Apply magnetic fields at random points along the track and observe deflections instead of directly measuring velocity changes.

Use varying inclined angles for one glider's approach, keeping track only of post-collision trajectory angles relative to ground level.

Set up sensors to measure velocities before and after collision, ensuring no external forces act upon the gliders except for negligible air resistance.

Change masses randomly while observing changes in post-collision speeds without controlling other relevant variables.

The point at which the total mass of the system can be considered to be concentrated

The location where all forces acting on a system are applied

The point at which gravitational force can be considered to act on an object

The balance point where the net torque about any axis is zero

It could not be determined without knowing masses

It would shift toward the new object

It would remain unchanged

It would shift away from the new object