A 5Kg ball rolling to the right at a velocity of 5m/s hits a stationary 10Kg ball. It is an elastic collision and the final velocity of the 5Kg ball is 0m/s. What is the final velocity of the 10Kg ball?

Answer:

[tex]\boxed {\boxed {\sf v \approx 33.088 \ mL}}[/tex]

Explanation:

The formula for density is:

[tex]d= \frac{m}{v}[/tex]

where m is the mass and v is the volume.

The mass is 0.45 kilograms and the density is 13.6 grams per milliliter. The density is given in grams, so we must convert the mass.

There are 1000 grams in 1 kilogram or [tex]\frac{1000 \ g} {1 \ kg}[/tex]. We can multiply the mass by this ratio.

[tex]0.45 \ kg * \frac{1000 \ g} {1 \ kg} = 0.45 * 1000 \ g = 450 \ g[/tex]

Now we have values for the mass and density:

[tex]13.6 \ g/mL =\frac{450 \ g}{ v}[/tex]

Cross multiply.

[tex]\frac {13.6 \ g/mL}{1} =\frac{450 \ g}{ v}[/tex]

[tex]13.6 \ g/mL * v=450 \ g * 1 \\13.6 \ g/mL * v=450 \ g[/tex]

We are trying to find the volume, so we must isolate that variable.

13.6 and v are being multiplied. The inverse of multiplication is division. Divide both sides by 13.6

[tex]\frac {13.6 \ g/mL*v } { 13.6 \ g/mL} = \frac{ 450 \ g} {13.6 \ g/mL}[/tex]

[tex]v= \frac{ 450 \ g} {13.6 \ g/mL}[/tex]

The grams will cancel.

[tex]v= 33.0882353 \ mL\\v \approx 33.088 \ mL[/tex]

The volume is about 33.088 milliliters.

Answer: 21 kg x m/s

Momentum can be found using the equation p = mv, or momentum = mass times velocity.

Therefore, to find the momentum of the bowling bowl, you can plug the mass and velocity values into the equation to get p = (7kg)(3m/s)

Solve the equation to get a momentum of 21kg x m/s

I hope I could help :)

Answer:

A sea star that has the ability to regenerate amputated limbs must first undergo a repair phase to heal the exposed wound. Once the wound is healed, the sea star can begin to generate new cells, which in turn, sparks new growth. Regeneration can take anywhere from several months to years. Reproduction: Sea stars are broadcast spawners. Males release sperm into the water and females release eggs. The fertilized eggs hatch into a larval form that lives as plankton, sometimes for months, before settling on the sea floor in its adult form..

Answer:

The spring constant is k=7031.25

Explanation:

We start by using the conservation of mechanical energy:

Ui + Ki = Uf + Kf

the Ui (initial potential energy) is zero since the spring is relaxed.

In the final situation, the Kf (final kinetic energy is zero since the car and spring are NOT in motion)

Then we have:

[tex]K_i=U_f\\\frac{1}{2} m*v^2=\frac{1}{2} k*(\Delta x)^2\\\frac{1}{2} 2000*15^2=\frac{1}{2} k*(8)^2\\k=7031.25[/tex]

Answer:

161.4 mph due southwest

Answer:

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Answer:

45000kgm/s due east

Explanation:

Given parameters:

Mass of the car  = 1.5 x 10³kg

Velocity  = 30m/s

Time taken  = 60s

Unknown:

Momentum  = ?

Solution:

Momentum is the quantity of motion a body possess,

     Momentum  = mass x velocity

So;

  Momentum  = 1.5 x 10³ x 30  = 45000kgm/s due east