Three identical clay balls collide as in the diagram below. Two of the clay balls come in at equal angles of 35 degrees and equal (unknown) speeds, and strike the third (stationary) ball simultaneously. All three stick together and move off together without rotating. There are no forces on the balls of clay other than those that they exert on each other. Find the fraction of the original energy of the system that becomes thermal?

Answers

Answer 1

Answer:

Explanation:

Let the initial velocity of the two moving balls be u

Let the mass of one ball be m

Let the velocity after collision be v

Initial kinetic energy is

2(½mu²) = mu²

Assuming the 35° is measured above and below a common axis,

conservation on momentum.

the vertical portion of that velocity and momentum will be equal and will cancel out.

the horizontal momentum will be

m(ucos35) + m(ucos-35) + m(0) = 3mv

v = (2/3)ucos35 = 0.5461u

final kinetic energy is

½(3m)(0.5461u²) = 0.44734mu²

so the fraction of kinetic energy converted to heat energy is

(mu² - 0.44734mu²) / mu² = 0.5526599... = 0.55


Related Questions

name a suitable thermometer for a winter temperature at noth pole?​

Answers

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Could a car drive on a frictionless surface? Explain using the terms action
force and reaction force. *

Answers

Answer:

No, it cannot. The car needs the friction of the surface to drive because the car pushes the surface backwards, and the surfaces makes a reaction force pushing the car forward, and that works because of the friction. In a frictionless surface the tires would rotate in the same place

Displacement (m) 0 20 40 40 80 80 60 400 Time (s) 10 10 20 30 40 50 60 70 80 a) Explain the different sections of the graph in as much detail as you can. b) Use the graph to determine the maximum velocity. c) Find the average velocity after 45 s. d) Find the instantaneous velocity at 45 s. ​

Answers

Answer:

because I dont know

Explanation:

first you add the multiply

The instantaneous velocity at 60 m is zero, at - 40 m is - 1 m / s, at 15 s is zero and at 25 s is 0.8 m / s if Displacement (m) 0 20 40 40 80 80 60 400 Time (s) 10 10 20 30 40 50 60 70 80.

What is Instantaneous velocity?

Instantaneous velocity = Position with respect to time / Time

1 ) At d = 60 m, the instantaneous velocity is zero because the car is at rest.

2 ) At d = - 40 m, t = 40 s

Instantaneous velocity = - 40 / 40

Instantaneous velocity = - 1 m / s

3 ) At t = 15 s, d = 60 m

At 60 m, the car is at rest, so the Instantaneous velocity is zero

4 ) At t = 25 s, d = 20 m

Instantaneous velocity = 20 / 25

Instantaneous velocity = 0.8 m / s

Instantaneous velocity of a given curve in a position-time graph can be found by drawing a tangent to the curve and finding the slope of the tangent. Instantaneous velocity = 0

Instantaneous velocity = - 1 m / s

Instantaneous velocity = 0

Instantaneous velocity = 0.8 m / s

Therefore, The instantaneous velocity at 60 m is zero, at - 40 m is - 1 m / s, at 15 s is zero and at 25 s is 0.8 m / s if Displacement (m) 0 20 40 40 80 80 60 400 Time (s) 10 10 20 30 40 50 60 70 80.

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i really need help with this. cant anyone help me?

Answers

(A)

Explanation:

The number of atoms for each element on the left side must equal that on the right side. Only (A) satisfies that condition. The other other choices have mismatching number of atoms on either side.

100 POINTS PLEASE answer ASAP

Answers

Answer:

uhmmm

Explanation:

uhmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m3 , length 94.0 cm and diameter 2.75 cm from a storage room to a machinist. Calculate the weight of the rod, w. Assume the free-fall acceleration is g

Answers

Answer:

Explanation:

Wt = ρVg

Wt = ρ(πD²/4)hg

Wt = 7800(π0.0275²/4)0.94(9.81)

Wt = 42.72152359...

Wt = 42.7 N

A worker pushes 1500N crate with a horizontal force of 345N a distance of 24m.
How much work is done by the Floor on a crate?

Answers

Answer:

8280J

Explanation:

W = f x d

345 x 24 = 8280J

Multiple-Concept Example 10 provides one model for solving this type of problem. Two wheels have the same mass and radius of 4.0 kg and 0.35 m, respectively. One has the shape of a hoop and the other the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 8.0 s. Find the net external torque that acts on each wheel.

Answers

Newton's second law for rotational motion allows finding the net torque for each body is:

Ring torque is:   τ  = 0.199 Nm Solid disc the torque is:   τ  = 0.995 N m

Newton's second law for rotational motion establishes a relationship between the torque, the moment of inertia, and the angular acceleration of the body.

 

               τ = I α

Where τ is the torque, I the moment of inertia and α the angular acceleration.

They indicate that the rotated angle is θ = 13 rad in a time of 8.0 s, let's use the rotational kinematics relations.

           θ = w₀ t + ½ α t²

The body starts from rest, therefore its inertial velocity is zero.

          θ = ½ α t²

          [tex]\alpha =\frac{2 \theta }{t^2}[/tex]  

Let's calculate

            α = [tex]\frac{2 \ 13^2}{8.0^2 }[/tex]

            α = 0.406 rad / s²

The moments of inertia of symmetrical bodies are tabulated:

Ring             I = m R² Solid disc    I = ½ m R²

Let's look for every torque.

Ring

         τ = m R² α

         τ = 4.0 0.35² 0.406

         τ = 0.199 N m

          τ = ½ m R² α

          τ = ½ 4.0 0.35² 0.406

          τ = 0.0995 N m

In conclusion using Newton's second law for rotational motion we can find the net torque for each body is:

Ring torque is:   τ  = 0.199 Nm Solid disc the torque is: τ  = 0.995 N m

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what makes the morion mask expensive ? ​

Answers

Answer:

a lot of the masks are hand made a long time ago its really an art

Explanation:

Because it is a piece of art that is hard to craft  

Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M1 = 1.9 kg and M2 = 2.8 kg. Block 1 is a distance r = 0.95 m from the center of the frictionless surface. Block 2 hangs vertically underneath. find the speed of m1 assume m2 does not move relative to the table.

Answers

The speed of the block m1 on the frictionless table is 1.34 m/s.

The given parameters;

mass of the first block, m1 = 1.9 kgmass of the second block, m2 = 2.8 kgdistance of block m1, R = 0.95 m

The net torque on both blocks is calculated as;

[tex]\tau _{net} = I \alpha[/tex]

[tex]T_2R- T_1 R_1 = I \alpha \\\\[/tex]

where;

T₁ is the tension on first blockI is the moment of inertia of point massα is the angular acceleration

[tex]T_1 = m_1 g + m_1 a\\\\T_2 = m_2 g - m_2 a[/tex]

The acceleration of both blocks is calculated as follows;

[tex]R(T_ 2- T_1) = MR^2 \times (\frac{a}{R} )\\\\R(T_2 -T_1) = MRa\\\\T_2 - T_1 = Ma\\\\(m_2g - m_2 a) - (m_1 g + m_1 a) = Ma\\\\m_2 g - m_1 g - m_2 a - m_1 a = Ma\\\\g(m_2 - m_1) = Ma + m_2a+ m_1a\\\\g(m_2 - m_1) = a(M+ m_2 + m_1)\\\\where;\\\\M \ is \ mass \ of \ string = 0 \\\\g(m_2 - m_1) = a (0+ m_2 + m_1)\\\\g(m_2 - m_1) = a(m_1 + m_2)\\\\a = \frac{g(m_2 - m_1)}{m_1 + m_2} \\\\a = 1.88 \ m/s^2[/tex]

The speed of the block m1 is calculated as follows;

[tex]a = \frac{v^2}{r} \\\\v^2 = ar\\\\v = \sqrt{a r} \\\\v = \sqrt{1.88 \times 0.95} \\\\v = 1.34 \ m/s[/tex]

Thus, the speed of the block m1 on the frictionless table is 1.34 m/s.

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A race car traveling at 10 meters per second accelerates at 1.5 meters per second squared while moving a distance of 600 meters. Which of the following best represents the final speed of the race car?

Answers

Answer:

Explanation:

Givens

vi = 10 m/s

a = 1.5 m/s^2

d = 600 m

vf = ?

Formula

vf^2 = vi^2 + 2*a*d

Solution

vf^2 = 10^2 + 2*1.5 * 600

vf^2 = 100 + 1800

vf^2 = 1900

sqrt(vf^2) = sqrt(1900)

vf = 43.59 m/s

A car equipped with a massless spring in front collides with a stationary car as shown in the diagram. The mass of the incoming car is three times the mass of the target car. While the spring is being compressed, the cars are moving closer together, and while it is expanding they are moving farther apart, but at the instant that the spring is fully compressed, they have no relative motion, which means they are moving at the same speed. At this instant, the cars are moving with a speed of 2.4 m/s.
(a) Find the speed of the incoming car before the collision.
(b) Find the fraction of the system’s energy that is stored in the spring when
it is fully compressed.
(c) Find the final speed and direfction for both cars after the spring expands and the cars separate.

Answers

Answer:

Explanation:

Let m be target car mass

a)

conservation of momentum

(3m)u + m(0) = (3m + m)(2.4)

               3u = 4(2.4)

                u = 3.2 m/s

b)

system energy is originally in the striking car as kinetic energy

KE = ½(3m)3.2² = 15.36m J

at full compression, kinetic energy is

½(3m + m)2.4² = 11.52m J

so spring potential energy fraction of total energy is

(15.36 - 11.52)/15.36 = 0.25 or 25%

c)

The center of mass (CoM) is moving at 2.4 m/s

The CoM sees the larger mass car approach at

3.2 - 2.4 = 0.8 m/s and will see it depart at - 0.8 m/s

so a ground based observer would see it moving at

v₁ = 2.4 + -0.8 = 1.6 m/s in its original direction

The CoM sees the smaller mass car approach at

0 - 2.4 = -2.4 m/s and will see it depart at + 2.4 m/s

so a ground based observer would see it moving at

v₂ = 2.4 + 2.4 = 4.8 m/s in its original direction of the larger car

so the relative velocity of approach at 3.2 - 0 = 3.2 m/s

equals the relative velocity of departure at 4.8 - 1.6 = 3.2 m/s

checks.

What is the value of the magnitude of the difference of vectors A and B, |A - B|?

Answers

Answer:

Let, θ be the angle between vector a and vector b.

So, the angle between vector a and vector (-b) must be (180° - θ).

Magnitude of the difference of vectors a and b

= |a - b|

= Magnitude of the resultant of the vector sum of the vectors a and (-b)

= |{√|a|^2 + |b|^2 + 2 * |a| * |b| * cos (180° - θ)}|

= |{√|a|^2 + |b|^2 - 2 * |a| * |b| * (cos θ)}|.

Explanation:

Answer each of the following questions regarding energy and heat transfer: ​1. Explain why it is important to understand conductors. ​2. Give a real world example where thermal conductors are used. ​3. Explain why it is important to understand insulators. ​4. Give a real world example where thermal insulators are used. ​5. Suppose you do not have electricity or gas for heating up food and you are hungry. Explain what would you do to maximize thermal energy transfer in this situation to safely cook you something to eat.

Answers

Conduction is the transfer of thermal energy between particles of matter that are touching. Thermal conduction occurs when particles of warmer matter bump into particles of cooler matter and transfer some of their thermal energy to the cooler particles. Conduction is usually faster in certain solids and liquids than in gases. Materials that are good conductors of thermal energy are called thermal conductors. Metals are especially good thermal conductors because they have freely moving electrons that can transfer thermal energy quickly and easily.

A girl sitting on a beach counts six waves passing a buoy in 3.0 s. She measured the distance between the wave crests to be 1.5 meters. What is the speed of the waves the girl observed?​

Answers

wavelength=1.5mTime=3s

[tex]\\ \sf\longmapsto Frequency=\dfrac{1}{Time}=\dfrac{1}{3}=0.33s^{-1}[/tex]

Velocity be v

[tex]\\ \sf\longmapsto v=f\lambda[/tex]

[tex]\\ \sf\longmapsto V=0.33(1.5)[/tex]

[tex]\\ \sf\longmapsto V\approx 0.5ms^{-1}[/tex]

Given,

Wavelength = 1.5 metres

T = 3 seconds OR 3.0 seconds

We know that the formula of Frequency–

1/Time

According to the question we have seen that Time is 3 seconds

[tex] \sf \longmapsto \: Frequency = \frac{1}{3 .0 \: seconds} [/tex]

[tex] \sf \longmapsto \: Frequency = 0.33 seconds^{-1} [/tex]

We Know,

Velocity = Frequency

Solving Further

[tex]\sf \longmapsto Velocity =0.33 \times 1.5 [/tex]

[tex]\sf \longmapsto \: 0.5 \: m/s ^{-1}[/tex]

Therefore the speed is[tex]\sf \: 0.5 \: m/s ^ {-1}[/tex]

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about:
30 feet
63 feet
40 feet
75 feet

Answers

Answer:

A. 30 feet

Explanation:

Including reaction time, the stopping distance is more than 20 feet at 10 miles per hour, at 20 miles per hour it will be about 63 feet. Option B is correct.

What is speed?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity.

Given conditions;

10 miles per hour ⇒ 20 feet

1 mile per hour ⇒ 2 feet

20 miles per hour ⇒ 20 × 2 feet

20 miles per hour ⇒ 20 × 2 feet

20 miles per hour ⇒40 feet

If the stopping distance is more than 20 feet at 10 miles per hour at 20 miles per hour it must be more than 40 feet.So that the correct answer is 63 feet.

Hence option B is correct.

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Saturn orbits the Sun at a radius of about 1.4×109 km. At this distance the force of gravity on Saturn due to the Sun is 3.7×1022 N. Assuming Saturn's orbit to be perfectly circular, how much work grav does the Sun's gravity do on Saturn in one year?

Answers

Explanation:Saturn is the second largest planet of the solar system in mass and size and the sixth nearest planet in distance to the Sun.

In the night sky Saturn is easily visible to the unaided eye as a non twinkling point of light.

Please help on question e and F
E- what will be the total charge of the compound formed?

F what type of band will form?

Answers

Answer:

E-MgO(Magnesium Oxide)

Hãy giải thích các khái niệm sau và lấy ví dụ cụ thể để minh họa:
Áp suất chân không tuyệt đối, áp suất tuyệt đối, áp suất khí trời, áp suất dư và áp suất chân
không?

Answers

Hãy giải thích các khái niệm sau và lấy ví dụ cụ thể để minh họa:

A remote-control car has batteries that store 1.8 kJ of energy. When the car is
driven across a sports field there is friction dragging on the car, producing a force
of 2 N.
Complete the following sentence: If the car is 100% efficient, it could travel a
distance of metres on a single battery charge.

Answers

Answer:

Explanation:

Complete the following sentence: If the car is 100% efficient, it could travel a distance of 900 meters on a single battery charge.

    W = Fd

1800 = 2d

     d = 900

Assuming 100 % efficient means turning battery power into motion.

A car totally 100% efficient would have zero friction and could travel an infinite distance on a full battery charge.

Imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 50 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?

Answers

Answer:

The net force on the desk is zero.

what is the angular speed, w, of the snowball after it has traveled a distance D down the slope of the roof

Answers

Newton's second law and the kinematics of rotation allow us to find the angular velocity of the snowball as it rolls across the roof is:

          w = [tex]\frac{2g}{R}[/tex]  

The kinematics of rotational motion studies the rotational motion of bodies.

           w = w₀ + 2 α θ

Where w and w₀ are the current and initial angular velocities, α the angular acceleration and θ the angle traveled.

Newton's second law establishes a relationship between the force, mass, and acceleration of the body.

The linear and rotational moviments are related.

             

             a = α R

Where a and α are the linear and rotational accelerations, respectively, and R is the radius of the body.

Let's find the linear acceleration of the body, in the attached we see a diagram of the forces, let's use trigonometry to decompose the weight.

            [tex]sin \theta = \frac{W_x}{W}[/tex]

            Wₓ = W sin θ

            Wₓ = m a

            mg sin θ = m a

            a = g sin θ

Now we can find the angular acceleration.

         α = a / R

         α = [tex]\frac{g}{ R \ sin \theta }[/tex]  

The body is released therefore its initial velocity is zero, we substitute in the kinematics expression.

          [tex]w = 2 ( \frac{g}{R \ sin \theta }) \ \theta[/tex]  

in rotational motion the angles are measured in radians  We use trigonometry to find the relationship between the angle and the distance traveled

             [tex]\theta = \frac{h}{D}[/tex]  

Where h is the height of the ceiling and D is the distance traveled.   Let's substitute.

           [tex]w = 2 \frac{g}{R sin \theta } \frac{h}{D}[/tex]

Let's tirgonmetry.

         sin θ = [tex]\frac{h}{D}[/tex]

         w = [tex]\frac{2g}{R}[/tex]

In conclusion, using Newton's second law and the kinematics of rotation, we can find the angular velocity of the snowball when rolling on the roof is:

          w = [tex]\frac{2g}{R}[/tex]

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Helium gas is confined within a chamber that has a moveable piston. The mass of the piston is 8.7 kg; and its radius is 0.013 m. If the system is in equilibrium, what is the pressure exerted on the piston by the gas

Answers

Helium gas is in a chamber with a moveable piston, whose mass is 8.7 kg and its radius is 0.013 m. The pressure exerted on the piston by the gas is 1.6 × 10⁵ Pa.

Helium is confined in a chamber with a moveable 8.7-kg piston (m). We can calculate the weight of the piston (w) using Newton's second law of motion.

[tex]w = m \times g = 8.7kg \times 9.8 m/s^{2} = 85 N[/tex]

The radius of the piston (r) is 0.013 m. We can calculate the area of the piston (A) using the following expression.

[tex]A = \pi \times r^{2} = \pi \times (0.013)^{2} = 5.3 \times 10^{-4} m^{2}[/tex]

We can calculate the pressure exerted by the piston (P) using the following expression.

[tex]P = \frac{w}{A} = \frac{85N}{5.3 \times 10^{-4}m^{2} } = 1.6 \times 10^{5} Pa[/tex]

Since the system is in equilibrium, the pressure exerted on the piston by the gas is also 1.6 × 10⁵ Pa.

Helium gas is in a chamber with a moveable piston, whose mass is 8.7 kg and its radius is 0.013 m. The pressure exerted on the piston by the gas is 1.6 × 10⁵ Pa.

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what is the distance between two corresponding points of adjacent waves?

Answers

Answer:Wavelength

Explanation: The wavelength of a wave is the distance between any two corresponding points on adjacent waves.

A car driving at 32.6 miles/hours slowed to a stop in 2.4 seconds
The driver's acceleration was
miles/hour second. Record your answer to two places past the decimal point

Answers

Explanation:

using v=u+at

0=32.6 + (a×(2.4/3600))

-32.6=(a×(2.4/3600))

a=-32.6×3600/2.4

a= -48900miles/hr^2

Draw an energy pie chart above each of the cart’s four positions.

i. Choose your reference point for determining height.

ii. Create a pie chart that accurately represents the ratio of the three forms of energy and label the sections of the pie Eg for gravitational potential energy, Ek for kinetic energy, and Eth for thermal energy.

Answers

Answer:

Attached below! Ignore the name please. Thanks!

Explanation:

g The human ear can perceive sounds with frequencies ranging from 20.0 Hz to 20000 Hz. If the speed of sound is 330 m/s in air and 1500 m/s under water, what is the longest and shortest wavelength that can be heard in air and in water

Answers

Answer:  lamda max= 16,5m   lamda min=  0,0165m (air)  

lamda  max= 75m, lamda min=0,075m (water)

Explanatin

If a car has a suspension system with a force constant of 5.00x104 N/m, how much energy must the car's shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m

Answers

Answer: 140.625

Explanation: Because energy gained due to damped motion and needs to be absorbed

jjjjjjjjjjjoooooooooooooooooo

Answers

Answer:

.

Explanation:

Please explain what the passage mean in your own words.

Remember the Sabbath day, to keep it holy. Six days shalt thou labor, and do all thy work: But the seventh day is the Sabbath of the Lord thy God: in it thou shalt not do any work, thou, nor thy son, nor thy daughter, thy manservant, nor thy maidservant, nor thy cattle, nor thy stranger that is within thy gates: For in six days the Lord made heaven and earth, the sea, and all that in them is, and rested the seventh day: wherefore the Lord blessed the Sabbath day, and hallowed it.

Answers

Use Speedwrite.com! Type the passages into that website and it’ll put it in its own words!
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