is driving with a velocity of 5 m/s and speeds up to a velocity of 10 m/s over 5 seconds. What is Mr. DaCosta's acceleration?

Explanation:

We need to apply the conservation law of linear momentum to two dimensions:

Let [tex]p_{1}[/tex] = momentum of the 1st ball

[tex]p_{2}[/tex] = momentum of the 2nd ball

In the x-axis, the conservation law can be written as

[tex](p_{1} \cos \theta_{1})_{i} + (p_{2} \cos \theta_{2})_{i} = (p_{1} \cos \theta_{1})_{f} + (p_{2} \cos \theta_{2})_{f} [/tex]

or

[tex](m_{1}v_{1})_{i}= (m_{1}v_{1}\cos \theta_{1})_{f} + (m_{2}v_{2}\cos \theta_{2})_{f} [/tex]

Since we are dealing with identical balls, all the m terms cancel out so we are left with

[tex](v_{1})_{i} = (v_{1})_{f}\cos \theta_{1} + (v_{2})_{f}\cos \theta_{2}[/tex]

Putting in the numbers, we get

[tex]1.33 = (0.750) \cos(33.30) + (v_{2})_{f} \cos \theta_{2}[/tex]

[tex] = > (v_{2})_{f} \cos \theta_{2} = 0.703[/tex]

In the y-axis, there is no initial y-component of the momentum before the collision so we can write

[tex]0 = (v_{1}\sin \theta_{1})_{f} + (v_{2}\sin \theta_{2})_{f} [/tex]

or

[tex] = > (v_{2})_{f} \sin \theta_{2} = (0.750) \sin(33.30) = 0.412[/tex]

Taking the ratio of the sine equation to the cosine equation, we get

[tex] \frac{ \sin \theta _{2}}{ \cos \theta_{2} } = \tan \theta_{2} = \frac{0.412}{0.703} = 0.586[/tex]

or

[tex] \theta_{2} = { \tan}^{ - 1} (0.586) = 30.4[/tex]

Solving now for [tex](v_{2})_{f}[/tex],

[tex](v_{2})_{f} = \frac{0.412}{ \sin(30.4) } = 0.815 \: \frac{m}{s} [/tex]

Answer:

D. A negative externality.

Explanation:

Particulate pollution is a form of pollution that is responsible for the degradation of the environment.

Particulate matter is also referred to as particle pollution or atmospheric aerosol particles and it can be defined as a complex microscopic mixture of liquid droplets and solid particles that are suspended in air.

An externality is typically an unwarranted cost or benefit by a manufacturer or producer of goods and services that affects a third party.

In Economics, an externality could either be positive or negative depending on its effect on a third party.

A negative externality arises when the production or consumption of a finished product or service has negative impact (cost) on a third party.

In conclusion, air pollution is an example of a negative externality because it causes harm to a third party.

Answer:

a) ball    K <K₀, b) the speed of the ball after the collision, c)  can K> 0

d) can moves in the same direction as the ball

Explanation:

a) the kinetic energy is given by

        K = ½ M v²

in this case before the collision the kinetic energy of the ball is

         K₀ = ½ M v₀²

After the collision the aluminum can has a certain speed, therefore the kinetic energy of the ball must decrease, the velocity of the ball after the collision is

          v <v₀

therefore the kinetic energy is

        K = ½ m v²

in consecuense

        K <K₀

b) an evidence of this fact is to measure the speed of the ball before the collision and the speed of the ball after the collision,

c) In the case of the aluminum can, the initial kinetic energy is ero, because it is stopped

          K₀ = 0

after the collision a part of the cal momentum of the ball is transferred to the can, therefore its velocity is different from zero

          K = ½ m v_can²

        K> 0

d) the clearest evidence of this fact is that the can moves in the same direction as the ball

Answer:

Explanation:

The equation for acceleration is

[tex]a=\frac{v_f-v_0}{t}[/tex] where vf is the final velocity and v0 is the initial velocity. For us, the final velocity is 25 m/s and the initial is 0 because the train started from resting position. Filling in and solving for a:

[tex]a=\frac{25-0}{30.0}[/tex] so

a = .83 m/s/s

Answer:

Kinetic energy is 1187.5J

Answer:

220 N

Explanation:

When a shopping cart rolls into a parked car on the street, it hits the car with a force of 220 newtons.

We need to find the force the shopping cart experiences from the car.

We know that, Newton's third law of motion states that for every action there is an equal and opposite reaction.

Hence, the shopping cart experiences a force of 220 N from the car.

Answer:

The correct answer is - transform boundary; plates slide past one another in opposite directions causing the formation of faults and earthquakes.

Explanation:

If the continental or oceanic plates slide past one another either in the same direction or in opposition direction forms the transform fault boundary. Due to this tectonic plate formation, no new crust is formed or subducted, but earthquake activities forms.

Convergent boundaries forms by pushing the edge of one plate underneath the other while coming together whereas plates move away from one another causing rift valleys called divergent boundary.

Answer:20Hz to 20000Hz

Explanation:

Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.

Answer:

The car is speeding up in a negative direction.

Explanation:

Answer:

He is incorrect. Dissolving salt in water and evaporation of the water are both physical changes. The reappearance of salt is evidence that the change was reversible by a physical change, so it could not be a chemical change.

Answer:c

Explanation:

Answer:

[tex]x=0.0498[/tex]

[tex]x'=0.659[/tex]

Explanation:

Specific Volume [tex]V=0.2m_3/kg[/tex]

Absolute Pressure (a) [tex]P_a= 40kpa[/tex]

Giving

[tex]T_a=75.87[/tex]

[tex]v_f=1.265*10^{-3}m^3/kg[/tex]

[tex]v_g=3.993m^3/kg[/tex]

                               (b) [tex]P_a= 630kpa[/tex]

Giving

[tex]T_b=160.13C[/tex]

[tex]v_f'=1.10282*10^{-3} m^3/kg[/tex]

[tex]v_g'=0.30286 m^3/kg[/tex]

(a)

Generally the equation for quality of Steam X  is mathematically given by

[tex]x=\frac{v-v_f}{v_g-v_f}[/tex]

[tex]x=\frac{0.2-1.0265*10^{-3}}{3.993-1.0265*10^{-3}}[/tex]

[tex]x=0.0498[/tex]

(b)

Generally the equation for quality of Steam X  is mathematically given by

[tex]x'=\frac{v-v_f'}{v_g'-v_f'}[/tex]

[tex]x'=\frac{0.2-1.10*10^{-3}}{3.30-1.1*10^{-3}}[/tex]

[tex]x'=0.659[/tex]

Answer:

p = 120000 kg · m/s

Explanation:

p = mv

p=momentum

m=mass

v=velocity

p = (4800)(25)

p= 120000 kg · m/s

Answer:

[tex]momentum = mass \times velocity \\ = 4800 \times 25 \\ = 120000 \: kgm {s}^{ - 1} [/tex]

Answer:

1.17

Explanation:

Given that,

The refractive index of rock salt with respect to water is 1.17.

We need to find the refractive index of water with respect to rock salt.

We know that,

Refractive index = (speed of light in air or vaccum)/( speed of light in that medium)

Refractive index of rock salt with respect to ice = (speed of light in ice)/(speed of light in rock salt)

The speed of light in ice = c/1.31

The speed of light in rock salt = c/1.54

Required refractive index,

[tex]\mu=\dfrac{1.54}{1.31}\\\\=1.17[/tex]

So, the refractive index of water with respect to rock salt is equal to 1.17.

Answer: A shunt is a low-ohm resistor that can be used to measure current. ... The entire current flows through the shunt and generates a voltage drop, which is then is measured. Using Ohm's law and the known resistance, this measurement can then be used to calculate the current (I = V/R).

Answer: 10 V, 40 V

Explanation:

Given

Resistors are [tex]500\Omega[/tex] and [tex]2000\Omega[/tex]

Power supply [tex]V=60\ V[/tex]

Voltmeter internal resistance [tex]r=2000\ \Omega[/tex]

When it connected around [tex]500\Omega[/tex] resistance, effective resistance becomes

[tex]\Rightarrow \dfrac{1}{R}=\dfrac{1}{500}+\dfrac{1}{2000}\\\\\Rightarrow R=\dfrac{2000}{5}\\\\\Rightarrow R=400\ \Omega[/tex]

Total resistance in series [tex]R_{net}=2400\ \Omega[/tex]

Current in circuit

[tex]I=\dfrac{60}{2400}=\dfrac{1}{40}\ A[/tex]

Voltage around [tex]500\Omega[/tex] resistance is

[tex]V=\dfrac{1}{40}\times 400\\\\V=10\ V[/tex]

(B) when voltmeter is connected around [tex]2000\Omega[/tex]  resistor

Net resistance around it

[tex]\Rightarrow \dfrac{1}{R}=\dfrac{1}{2000}+\dfrac{1}{2000}\\\\\Rightarrow R=1000\ \Omega[/tex]

Total resistance [tex]R_{net}=1500\ \Omega[/tex]

Current in circuit

[tex]I=\dfrac{60}{1500}=\dfrac{1}{25}\ A[/tex]

Voltage around [tex]2000\Omega[/tex] resistor

[tex]V=\dfrac{1}{25}\times 1000\\\\V=40\ V[/tex]

Answer:

Polypropylene is the safest material for trampoline mats in the trampoline market. The fibers are heavily woven to make a buoyantly webbed fabric. The fabric is then thermally interlocked to provide a smoother stabilized surface that can withstand constant flexing and stress.

Answer:

Speed = 300 m/s

Explanation:

Given the following data;

Frequency = 30 Hz

Wavelength = 10 m

To find the speed of the wave;

Mathematically, the speed of a wave is given by the formula:

[tex] Speed = wavelength * frequency [/tex]

Substituting into the formula, we have;

[tex] Speed = 10 * 30 [/tex]

Speed = 300 m/s

Answer:

6650km

Explanation:

Distance = (6.4 × 10³ + 250) km

= 6650 km

Answer:

Matter is a substance that has inertia and occupies physical space. According to modern physics, matter consists of various types of particles, each with mass and size.Matter can exist in several states, also called phases. The three most common states are known as solid, liquid and gas.Matter is the Stuff Around You or Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).Solid ice, water and steam are few examples of matter touched in everyday life. Subatomic particles are also considered as matter.

Answer:

Matter is everything around you. Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).

hope it helps...

Answer:

a

Explanation:

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Explanation:

Answer:

(a) 8 V, (b) 144000 V, (c) 2 x 10^(-8) C

Explanation:

(a) charge, q = 5 μC , Work, W = 40 x 10-^(-6) J

The electric potential is given by

W = q V

[tex]40\times10^{-6}=5 \times10^{-6}\times V\\\\V = 8 V[/tex]

(b)

charge, q = 8 x 10^(-6) C, distance, r = 50 cm = 0.5 m

Let the potential is V.

[tex]V =\frac{k q}{r}\\\\V =\frac{9\times 10^{9}\times 8\times 10^{-6}}{0.5}\\\\V =144000 V[/tex]

(c)

Work, W = 8 x 10^(-5) J, Potential difference, V = 4000 V

Let the charge is q.

W= q V

[tex]8\times10^{-5}= q\times 4000\\\\q =2\times 10^{-8} C[/tex]

Answer:

yes is the correct snswer

Explanation:

hope this help

Answer:

[tex]T=2.5*10^{-3}s[/tex]

Explanation:

From the question we are told that:

Beat frequency [tex]F_b=4[/tex]

Frequency [tex]F=400Hz[/tex]

Generally the equation for Frequency of the violin is mathematically given by

 [tex]f_v=F_b+F[/tex]

 [tex]f_v=4+400Hz[/tex]

 [tex]f_v=404Hz[/tex]

Therefore the period of the violin string oscillations is

 [tex]T=\frac{1}{f_v}[/tex]

 [tex]T=\frac{1}{404}[/tex]

 [tex]T=2.5*10^{-3}s[/tex]

Answer:

But where are the graphs

Coulomb's Law describes the relationship between electromagnetic force and the distance between charges.

The relationship between electromagnetic force and the distance between charges is described by Coulomb's Law, which states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's Law is expressed as:

F = k  (q₁x q₂) / r²

where F is the electromagnetic force, q1 and q2 are the charges, r is the distance between the charges, and k is the Coulomb constant.

This means that as the distance between two charges increases, the force between them decreases, and as the distance decreases, the force increases. The relationship between force and distance is inverse square, which means that the force decreases rapidly as the distance increases.

To know more about electric charges follow

https://brainly.com/question/874116

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Answer:

Explanation:

Para qué sirven las antenas que se colocan en la red

Las antenas de voleibol, también llamadas varillas, sirven para delimitar la zona de juego. Normalmente la red de voleibol es un poco más ancha que la zona de juego, es por ello que las varillas de voleibol se utilizan para demarcar el área de juego.

Answer:

c. 0.02 C and 4 J

Explanation:

Applying,

Q = CV................ Equation 1

Where Q = Charge, C = Capacitance of the capacitor, V = Voltage.

From the question,

Given: C = 50 μF = 50×10⁻⁶ F, V = 400 V

Substitute these values into equation 1

Q = (50×10⁻⁶)(400)

Q = 0.02 C.

Also Applying

E = CV²/2............. Equation 2

Where E = Energy stored.

Therefore,

E = (50×10⁻⁶ )(400²)/2

E = 4 J

Hence the right option is c. 0.02 C and 4 J