Which is correct help asap

In a game of pool, the cue ball strikes another ball of the same mass and initially at rest. After the collision, the cue ball m

ikadub [295]

(a) $-39.4^{\circ}$

Let's take the initial direction (before the collision) of the cue ball has positive x-direction.

Along the y-direction, the total initial momentum is zero:

$p_y =0$

Therefore, since the total momentum must be conserved, it must be zero also after the collision. So we write:

$0 = m v_1 sin \phi_1 + m v_2 sin \phi_2 \\0 = m(4.60) sin (28^{\circ}) + m(3.40) sin \phi_2$

where

m is the mass of each ball

$v_1= 4.60 m/s$ is the velocity of the cue ball after the collision

$v_2 = 3.40 m/s$ is the velocity of the second ball after the collision

$\phi_1=28.0^{\circ}$ is the angle of the cue ball with the x-axis

$\phi_2$ is the angle of the second ball

Solving for $\phi_2$ , we find the angle between the direction of motion of the second ball and the original direction of motion:

$sin \phi_2 = -\frac{4.60 sin 28}{3.40}=-0.635\\\phi_2 = -39.4^{\circ}$

(b) 6.69 m/s

To find the original speed of the cue ball, we analyze the situation along the horizontal direction.

First, we calculate the total momentum along the x-direction after the collision, which is:

$p_x = m v_1 cos \phi_1 + m v_2 cos \phi_2 \\0 = m(4.60) cos (28^{\circ}) + m(3.40) cos (-39.4^{\circ})=6.69 m$

The initial total momentum along the x-direction as

$p_x = m u$

where

m is the mass of the cue ball

$u$ is the initial velocity of the cue ball

The momentum along this direction must be conserved, so we can equate the two expressions and find the value of u:

$mu = 6.69 m\\u = 6.69 m/s$

7 0

3 years ago

Dams hold collected water back from flowing at their normal rate. What type of energy is in the collected water above the dam? c

Andreyy89

It would be mechanical potential energy.

8 0

3 years ago

Read 2 more answers

Please help he i will name brainliest!!!!!

goldenfox [79]

Answer:

time is second

acceleration is speed

initial velocity is

distance is meters

6 0

3 years ago

Evaluate the use of hydrogen as a fuel. Explain how hydrogen is produced. Write about the environmental impact of using diesel a

nadya68 [22]

Explanation:

hydrogen is primarily produce by steam reforming of natural gas... Methane reacts with steam under 3 -25 bar pressure in the presence of a catalyst to "Produce Hydrogen " , carbon monoxide, and the greenhouse gas carbon dioxide. For steam to proceed, heat must be supplied to the process. Furthermore , new research from Transport & Environment shows that diesel cars not only pollute the air but also emit more climate change emissions (co2) than petroleum gas cars whenever compared to diesel fueled vehicles lifetime. In fact, diesel engines emits 3.65 tonnes of co2 more than a petrol engine equivalent.

6 0

3 years ago

The electric field is measured for points at distances r from the center of a uniformly charged insulating sphere that has volum

RoseWind [281]

For the electric field is measured for points at distances r,Electric field is mathematically given as

E=19.9*10^{-5}c/m^3

<h3>What is the Electric field?</h3>

Generally, the equation for the electric field uniform charged is mathematically given as

$E=\frac{lr}{3e0}$

Therefore

E=lr/3E0=3Ee0/r

Therefore

E=3*6*10^4*8.85*10^{-12}

E=19.9*10^{-5}c/m^3

In conclusion, E=19.9*10^{-5}c/m^3

E=19.9*10^{-5}c/m^3