S= 1/2(V f + V I )t solve for V f <br><br> show me how

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. The yello

denis-greek [22]

Answer:

The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.

Explanation:

In this case, we see a two-dimension system formed by two shuffleboard disks, which do not experiment any effect from external forces, so that the Principle of Linear Momentum can be applied. The equations of equilibrium are respectively:

$m_{Y}\cdot \vec v_{Y,o}+m_{O}\cdot \vec v_{O,o} = m_{Y}\cdot \vec v_{Y}+m_{O}\cdot \vec v_{O}$ (Eq. 1)

Where:

$m_{Y}$ , $m_{O}$ - Masses of the yellow and orange shuffleboard disks, measured in kilograms.

$\vec v_{Y,o}$ , $\vec v_{O,o}$ - Initial vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.

$\vec v_{Y}$ , $\vec v_{O}$ - Final vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.

If we know that $m_{Y} = m_{O}$ , then the system is now reduced into this form:

$\vec v_{Y,o}+\vec v_{O,o} = \vec v_{Y}+\vec v_{O}$ (Eq. 2)

Given that $\vec v_{Y,o} = \left(0\,\frac{m}{s}, 0\,\frac{m}{s}\right)$ , $\vec v_{O,o} = \left(5\,\frac{m}{s}, 0\,\frac{m}{s} \right)$ , $\vec v_{Y} = v_{Y}\cdot \left(\cos 52.92^{\circ},-\sin 52.92^{\circ}\right)$ and $\vec v_{O} = v_{O}\cdot (\cos 37.08^{\circ},\sin 37.08^{\circ})$ , then we find these two equations of equilibrium:

x-Direction:

$v_{Y}\cdot \cos 52.92^{\circ}+v_{O}\cdot \cos 37.08^{\circ} = 5\,\frac{m}{s}$ (Eq. 3)

y-Direction:

$-v_{Y}\cdot \sin 52.92^{\circ}+v_{O}\cdot \sin 37.08^{\circ} = 0\,\frac{m}{s}$ (Eq. 4)

The solution of this system of linear equations is:

$v_{Y} = 3.015\,\frac{m}{s}$ and $v_{O} = 3.989\,\frac{m}{s}$

The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.

3 0

3 years ago

A jet play sits on the runway and then rapidly accelerates does it go to potential to kinetic energy?

dmitriy555 [2]

Kinetic energy because it's moving

7 0

3 years ago

How is the force of gravity mathematically related to the factors<br> that answer Question I?

Vadim26 [7]

Answer:

Probably the more correct version of the story is that Newton, upon observing an apple fall from a tree, began to think along the following lines: The apple is accelerated, since its velocity changes from zero as it is hanging on the tree and moves toward the ground. Thus, by Newton's 2nd Law there must be a force that acts on the apple to cause this acceleration. Let's call this force "gravity", and the associated acceleration the "acceleration due to gravity". Then imagine the apple tree is twice as high. Again, we expect the apple to be accelerated toward the ground, so this suggests that this force that we call gravity reaches to the top of the tallest apple tree.

3 0

3 years ago

How well a student reads can most likely be effected by

Burka [1]

Their cognitive skills and their ability to learn

3 0

3 years ago

Often times we think about insulation, we think about keeping cold items cold, such as drinks in an ice chest or the cool temper

Burka [1]

Answer:

So, insulation essentially works by creating a sort of barrier between the hot and the cold object. This barrier helps to reduce heat transfer by either reflecting the thermal radiation or by decreasing thermal conduction and convection from one object to the other.

4 0

2 years ago

S= 1/2(V f + V I )t solve for V f show me how