B. the object's speed and mass
Looking at the kinetic energy formula:
1/2mv^2 = Ek
It can be seen that the only two factors that affect the magnitude of the kinetic energy are mass and the object speed. Kinetic energy is also a scalar quantity so the direction is unnecessary.
Answer:
independent variable is the answer! hope that helps :D
Answer:
Explanation:
Given
Potential Energy is given by

And Force is given by

Particle will be at equilibrium when Potential Energy is either minimum or maximum

i.e.

So angular Frequency of small oscillation is given by

for 
we get 


Answer:
The final speed of the two carts stuck together after the collision is 1 m/s
Explanation:
This is an example of an inelastic collision where two separate carts each with different momentum collide and become a single object.
The conservation of momentum (p) equation is:
where
is the initial momentum of cart 1: 
Notice that cart 2 is at rest, therefore its velocity is zero, which makes its initial momentum zero: 
The final momentum (
) for which we don't know the velocity (
) is the product of the final mass (addition of the two masses) times the final velocity of this new object (two carts stuck together):

Now we re-write the conservation of momentum equation to isolate and obtain the unknown final velocity:
