Physics, 04.12.2019 00:31 tiwaribianca475

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. initially ball a is moving upward along the y axis at 2.0 m/s and ball b is moving to the right along the x axis with speed 3.7 m/s. after the collision ball b is moving along the positive y axis. a. what is the speed of ball a and b after the collision? b. what is the direction of motion of ball a after the collision? c. what is the total momentum and kinetic energy of the two balls after the collision?

Answers: 2

Show answers

Answers

Answer from: elishane864

The momentum conservation allows to find the results for the questions about the collision of the balls are:

A) The velocities after the collision are: vₐ = 3.7 i m/s and v_b = 2 j m/s

B) The direction of ball A is: x-axis

C) The total moment is: $p_{total}$ = 4.2m and the direction is θ = 28.4º

The total kinetic energy is: $K_{total}$ = 8.84m J

Given parameters

Ball A initially moves y-axis at $v_{oay}$ = 2.0 m / s Ball B moves end x axis v_[obx}

vobx = 3.7 m / s Ball B moves on the y-axis after collision

To find

A) The speeds after the collision.

B) direction of the ball A.

C) The moment and energy after the crash.

Momentum is defined by the product of mass and velocity. When a system is isolated, there is no external force, the momentum is conserved. This is an important conservation law of physics.

p = m v

Where the bold letters indicate vectors, m is the mass and v the velocity.

A) The system is formed by the two balls, therefore it is isolated and the momentum is conserved. Since the momentum is a vector quantity we write the components on each axis, see attached for a schematic.

Initial instant. Before the crash.

They indicate that ball B moves in the axis and after the collision.

x-axis

p₀ₓ = m $v_{obx}$ vobx

y-axis

$p_{oy} = m v_{oay}$

Final moment. After the crash.

x-axis

$p_{fx} = m v_{fax}$

y- axis

$p_{fy} = m v_{fay} + m v_{fby}$

The momentum is preserved

x- axis

p₀ₓ = $p_{fx}$

m $v_{obx}$ = m $v_{fax}$

$v_{fax} = v _{obx}\\v_{fax} = 3.7 m/s$

y- axis

$p_{oy} = p_[fy} \\m v_{oay} = m v_{fay} + m v_[fby}\\v_{oay} = v_{fay} + v_{fby}$

2 = $v_{fay} + v_fby}$

Ball A moves in the x-axis therefore it has no final velocity in the y-axis.

$v_{fay}=0$

$v_{fby}$ = 2 m / s

B) Ball A moves on the x-axis.

C) the total momentum is the sum of the momentum of each particle

$p_{total} = p_a+p_b$

To find the module let's use the Pythagorean theorem.

$p_{total} = m \sqrt{2^2 + 3.7^2}$

p = 4.2m

Let's use trigonometry for the direction.

tan θ = $\frac{p_{fb}}{p_{fa}}$

θ = tan⁻¹ $\frac{p_{fb}x}{p_{fa}}$

θ = tam⁻¹ $\frac{2}{3.7}$

θ = 28.4º

The total kinetic energy is

$K_{total}= K_1+K_2$

$K_{total}$ = ½ m v_a^2 + ½ m v_b^2

$K_{total}$ = $\frac{m}{2}$ (3.7² + 2²)

$K_{total}$ = 8.845 m

In conclusion using momentum conservation we can find the results for the questions about the collision of the balls are:

A) The velocities after the collision v_a = 3.7 i m/s and v_b = 2 j m/s

B) The direction of ball A is: x-axis

C) The total momentum is: $p_{total}$ = 4.2m and the direction is θ = 28.4º

The total kinetic energy is: K_ {total} = 8.84m J

Learn more here: link

Answer from: 6clevare

Explanation:

Given

Initially A moves towards Y axis with a velocity of 2 m/s and B moves towards X axis with velocity of 3.7 m/s

mass of both the block is same let say m

Conserving momentum in x direction

$P_i_x=m\times 3.7$

P_f_x=m v_x

P_i_x= P_f_x

$m\times 3.7=m\times v$

v=3.7 m/s

thus A moves with a velocity of 3.7 m/s towards x axis in order to conserve the momentum in x direction

Thus ball B moves towards Y direction with v=2 m/s

And ball A moves towards X direction with v=3.7 m/s

(c)Total momentum $=\sqrt{P_x^2+P_y^2}$

$=\sqrt{(3.7m)^2+(2m)^2}$

=4.20 m

Kinetic Energy =K.E._a+K.E._b

$=\frac{1}{2}mv_a^2+\frac{1}{2}mv_b^2$

$=\frac{1}{2}m(3.7)^2+\frac{1}{2}m(2)^2$

=8.84 m J

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate sys

Answer from: Quest

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this

Answer from: Quest

Idon't know it i just need my points lol

Another question on Physics

Physics, 22.06.2019 05:00

He viscosities of several liquids are being compared. all the liquids are poured down a slope with equal path lengths. the liquid with the highest viscosity will

Answers: 3

Answer

Physics, 22.06.2019 06:10

Africtionless piston-cylinder contains 50 l of saturated liquid r-134a. the piston has a mass and an area resulting in an applied pressure of 500 kpa on the refrigerant. the refrigerant is now heated until its temperature rises to 70∘c. calculate the work (in kj) done during this process.

Answers: 3

Answer

Physics, 22.06.2019 12:30

Aboy with a mass 25 kg climbs into a small tree. he sits on a branch that is 2.o m above to the ground.what is his gravitational potential energy above the ground?

Answers: 1

Answer

Physics, 22.06.2019 13:40

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

Answers: 1

Answer

You know the right answer?

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate sys...

Questions