Dale and Alex push on opposite sides of a couch. Dale pushes to the left with
a force of 100 N, while Alex pushes to the right with a force of 175 N. If the
couch has a mass of 55 kg, what is the acceleration of the couch?
O A. 5 m/s2 right
O B. 5 m/s2 left
O c. 1.4 m/s? right
O D. 1.4 m/s2 left
SUBMIT

Explanation:

sin² A sec² B + tan² B cos² A

A good first step is to write everything in terms of sine and cosine.

sin² A / cos² B + sin² B cos² A / cos² B

The fractions have the same denominator, so combine into one:

(sin² A + sin² B cos² A) / cos² B

Using Pythagorean identity, we can rewrite sin² B as 1 − cos² B:

(sin² A + (1 − cos² B) cos² A) / cos² B

Distribute:

(sin² A + cos² A − cos² B cos² A) / cos² B

Pythagorean identity:

(1 − cos² B cos² A) / cos² B

Now divide into two fractions again:

1 / cos² B − cos² B cos² A / cos² B

Simplify:

sec² B − cos² A

Using Pythagorean identity again:

(tan² B + 1) − (1 − sin² A)

tan² B + 1 − 1 + sin² A

tan² B + sin² A

Explanation:

Heat = mass × specific heat × temperature change

q = m C ΔT

Given:

q = 337500 J

m = 50 kg

ΔT = 15°C

Substitute:

337500 J = (50 kg) C (15°C)

C = 450 J/kg/°C

Specific heat is usually recorded in J/g/°C or kJ/kg/°C.  Converting:

C = 0.45 J/g/°C = 0.45 kJ/kg/°C

Final answer:

The specific heat of the object is calculated using the formula Q = mcΔT. Upon substituting the values provided into the formula and rearranging it to solve for specific heat (c), we determine that the specific heat of the object is 450 J/kg°C.

Explanation:

To calculate the specific heat of the object, we use the formula:

Q = mcΔT

Where:

Q is the amount of heat added, in joules

m is the mass of the object, in kilograms

c is the specific heat capacity, in J/kg°C

ΔT is the change in temperature, in degrees Celsius (or Kelvin, since the change is the same in both scales)

We are given the following values:

Q = 337,500 J

m = 50 kg

ΔT = 15°C

We rearrange the formula to solve for c:

c = Q / (mΔT)

Plugging in the values:

c = 337,500 J / (50 kg × 15°C)

c = 337,500 J / 750 kg°C

c = 450 J/kg°C

Therefore, the specific heat of the object is 450 J/kg°C.

Answer:

Earth's spin on its axis causes the equator to bulge

Explanation:

The Earth is not a perfect sphere but an oblate ellipsoid. The force that holds a planet is gravity. The Earth is rotating on its axis at a speed of 460 m/s at the equator. Due to this reason there is a build up of centrifugal force on the Earth which causes it to expand giving it a bulge.

The Sun and the Moon's gravity causes waves on the surface of large water bodies.

Answer:

The forth one

Explanation:

8N of net force is applied to the golf ball

For a wave:

v = fλ

v is the velocity, f is the frequency, and λ is the wavelength.

Assuming the velocity of the wave doesn't change...

If you increase its frequency, its wavelength will shorten.

Answer:

As the frequency of a wave increases, the shorter its wavelength is.

Explanation:

Answer:

the answer is to safeguard Americans rights took the test

Explanation:

C. To safeguard American's rights

The bill of Rights is the name given to the primary 10 amendments to our constitution. The bill of Rights consists of guarantees of civil liberties and checks on state power; it was introduced in order to convince states to ratify the constitution.

the 3 most important Bill of Rights

The Bill of Rights lists essential rights to be protected

Learn more about the bill of rights here

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Answer:

E

Explanation:

As temperatures go up solids become more towards the next state of matter, liquid which is very soluable (like mixing drinks). while as it gets colder, solids become more solid, the atoms come closer together which forms stronger bonds between them so they don't want to mix as well. Solids, for the most part can only become more solid as it gets colder, unless you count bohrs-einstein conisates

Answer:

A. 19.6 m/s

B. 44.6 m

C. 5.0 s

D. -19.6 m/s

Explanation:

At the highest point, the stone's velocity is 0.

A. Given:

v = 0 m/s

t = 2 s

a = -9.8 m/s²

Find: v₀

v = at + v₀

0 = (-9.8)(2) + v₀

v₀ = 19.6 m/s

B. Given:

y₀ = 25 m

t = 2 s

v₀ = 19.6 m/s

a = -9.8 m/s²

Find: y

y = y₀ + v₀ t + ½ at²

y = 25 + (19.6)(2) + ½(-9.8)(2)²

y = 44.6 m

C. Given:

y₀ = 25 m

y = 0 m

v₀ = 19.6 m/s

a = -9.8 m/s²

Find: t

y = y₀ + v₀ t + ½ at²

0 = 25 + (19.6)t + ½(-9.8)t²

0 = 4.9t² − 19.6t − 25

t ≈ 5.0 s

D. Given:

v₀ = 19.6 m/s

a = -9.8 m/s²

t = 4 s

Find: v

v = at + v₀

v = (-9.8)(4) + 19.6

v = -19.6 m/s

The velocity is -19.6 m/s.  If you want the speed, or magnitude of the velocity, take the absolute value: 19.6 m/s.

Answer:

2 seconds

Explanation:

v = at + v₀

19.62 m/s = (9.81 m/s²) t + 0 m/s

t = 2 s

Explanation:

the frequency of the wave increase is the right answer

Answer:

D. move independently.

Explanation:

To be considered a living thing, an organism must be able to move independently.

Answer:

To be considered a living thing, an organism must be able adapt to change.

Answer:

1) Any particle moving in a horizontal plane slowed by friction, deceleration = 32 μ

2) The particle moving by acceleration = P/m - 32μ OR The external force = ma + 32μm

Explanation:

* Lets revise Newton’s Third Law:

- For every action there is a reaction, equal in magnitude and opposite

 in direction.

- Examples:

# 1) A particle moving freely against friction in a horizontal plane

- When no external forces acts on the particle, then its equation of

  motion is;

∵ ∑ forces in direction of motion = mass × acceleration

∵ No external force

∵ The friction force (F) = μR, where μ is coefficient of the frictional force

   and R is the normal reaction of the weight of the particle on the

   surface

∵ The frictional force is in opposite direction of the motion

∴ ∑ forces in the direction of motion = 0 - F

∴ 0 - F = mass × acceleration

- Substitute F by μR

∴ - μR = mass × acceleration

∵ R = mg where m is the mass of the particle and g is the acceleration

  of gravity

∴ - μ(mg) = ma ⇒ a is the acceleration of motion

- By divide both sides by m

∴ - μ(g) = a

∵ The acceleration of gravity ≅ 32 feet/sec²

∴ a = - 32 μ

* Any particle moving in a horizontal plane slowed by friction,

 deceleration = 32 μ

# 2) A particle moving under the action of an external force P in a

  horizontal plane.

- When an external force P acts on the particle, then its equation

 of motion is;

∵ ∑ forces in direction of motion = mass × acceleration

∵ The external force = P

∵ The friction force (F) = μR, where μ is coefficient of the frictional force

   and R is the normal reaction of the weight of the particle on the

   surface

∵ The frictional force is in opposite direction of the motion

∴ ∑ forces in the direction of motion = P - F

∴ P - F = mass × acceleration

- Substitute F by μR

∴ P - μR = mass × acceleration

∵ R = mg where m is the mass of the particle and g is the acceleration

  of gravity

∴ P - μ(mg) = ma ⇒ a is the acceleration of motion

∵ The acceleration of gravity ≅ 32 feet/sec²

∴ P - 32μm = ma ⇒ (1)

- divide both side by m

∴ a = (P - 32μm)/m ⇒ divide the 2 terms in the bracket by m

∴ a = P/m - 32μ

* The particle moving by acceleration = P/m - 32μ

- If you want to fin the external force P use equation (1)

∵ P - 32μm = ma ⇒ add 32μm to both sides

∴ P = ma + 32μm

* The external force = ma + 32μm

wavelength frequency and other

Explanation:

Waves travel through a medium: A medium is any substance or region through which a wave is transmitted. The speed of a wave is dependant on four factors: wavelength, frequency, medium, and temperature. Wave speed is calculated by multiplying the wavelength times the frequency (speed = l * f).

Final answer:

The speed of a wave depends primarily on the medium's characteristics, such as elasticity, inertia, pressure, density, and temperature for sound waves, and tension and linear mass density for waves on a string.

Explanation:

The speed of a wave is influenced by the properties of the medium through which it propagates. Factors such as the elasticity of the medium and the inertia of its particles, which are measures of the medium's ability to return to equilibrium and the mass of the particles, respectively, play significant roles in determining wave speed. The speed is not dependent on the wave's amplitude or the energy of the generating mechanism but on the medium's physical properties. For example, the speed of sound waves is affected by the density, pressure, and temperature of air, while the speed of a wave on a string is proportional to the square root of the tension in the string and inversely proportional to the square root of the linear mass density. The wave speed can therefore be experimentally determined using its relationship with the medium's properties.

The distance between the Sun and the Jupiter is nearly 779 million kilometer.

Explanation:

Jupiter is approximately 778.5 million kilo meter from the Sun, it is in approximation of 484 million miles. To be exact in separating distance between the two, it is 778547200 kilo meters.

The distance measured is an average taken due to the elliptical path undertaken by the planet for its planetary motion around the Sun, according to the Kepler’s law of planetary motion.

Answer:

B

Explanation:

The other two choices are exact. B is estimating and giving an indirect observation.

b. scientist traps fish and  

estimates the population of male and female fish based on the ratios of fish he trapped.

The key word is estimate. Estimate means that he gives a rough number. There aren't exactly that number of fish.

A. and C. are both exact numbers because the scientists manually count each one. This means these are direct observations, and therefore not the answer.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Electrons jump between energy levels, absorbing and releasing energy as they are jumping between energy levels. The energy given off corresponds to different frequencies of light. If the light is visible, we see these frequencies as different colors.  

Electrons play a crucial role in producing light. When an electron gains energy, it moves to a higher energy level and quickly returns to its original level, releasing the excess energy as a photon. The energy of the photon determines its color or wavelength, allowing scientists to manipulate light color and intensity by controlling electron energy levels.

Electrons play a crucial role in producing light. When an electron in an atom gains energy, it moves to a higher energy level or orbital. However, this excited state is unstable, so the electron quickly returns to its original energy level, releasing the excess energy in the form of a photon, which is a particle of light.

The energy of the photon determines its color or wavelength. For example, blue light has a higher energy than red light. By controlling the energy levels of electrons in objects such as light bulbs or LEDs, scientists and engineers can manipulate the color and intensity of light produced.

This phenomenon is seen in fluorescent lights, where electricity is used to excite electrons in a gas, causing them to release photons. These photons then strike a material called a phosphor, which emits visible light. So, without electrons and their ability to gain and release energy, we wouldn't have light as we know it.

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Answer: [tex]a_{apple}=9.082m/s^{2}[/tex], [tex]a_{Earth}=3.027(10)^{-25}m/s^2[/tex]

Explanation:

According to Newton’s law of universal gravitation, which is a classical physical law that describes the gravitational interaction between different bodies with mass:  

[tex]F=G\frac{Mm}{r^2}[/tex] (1)

Where:  

[tex]F[/tex] is the module of the force exerted between the apple and the Earth

[tex]G=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}[/tex] is the universal gravitation constant.  

[tex]M=6(10)^{24}kg[/tex] is the mass of the Earth and [tex]m=200g=0.2kg[/tex] is the mass of the apple

[tex]r=6.64(10)^{6}m[/tex] is the distance between the apple and the Earth (assuming tha apple is near the surface of the Earth)

On the other hand, according Newton's 2nd Law of Motion the force [tex]F[/tex] is directly proportional to the mass [tex]m[/tex] and to the acceleration [tex]a[/tex] of a body.  

So, in the case of the apple:  

[tex]F=m.a_{apple}[/tex] (2)

[tex]a_{apple}=\frac{F}{m}[/tex] (3)

Substituting [tex]F[/tex] (1) in (3):

[tex]a_{apple}=\frac{F}{m}=G\frac{M}{r^2}[/tex] (4)

[tex]a_{apple}=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}\frac{6(10)^{24}kg}{(6.64(10)^{6}m)^2}[/tex] (5)

[tex]a_{apple}=9.082m/s^2[/tex] (6)

Now, in the case of the Earth:  

[tex]F=M.a_{Earth}[/tex] (7)

[tex]a_{Earth}=\frac{F}{M}[/tex] (8)

Substituting [tex]F[/tex] (1) in (8):

[tex]a_{Earth}=\frac{F}{M}=G\frac{m}{r^2}[/tex] (9)

[tex]a_{Earth}=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}\frac{0.2kg}{(6.64(10)^{6}m)^2}[/tex] (10)

[tex]a_{Earth}=3.027(10)^{-25}m/s^2[/tex] (11)

As we can see, the acceleration of the apple towards the Earth is greater than the acceleration of the Earth towards the apple (although the gravitational force between them is the same), because the mass of the Earth is greater than the mass of the apple.

Answer:

2500

Explanation:

1 Angstrom (1 A) corresponds to

[tex]1 A = 10^{-10} m[/tex]

Therefore we can convert the wavelength of the light from Angstroms to meters:

[tex]\lambda = 4000 A = 4000 \cdot 10^{-10} m = 4\cdot 10^{-7} m[/tex]

We also know that

[tex]1 mm = 1\cdot 10^{-3} m[/tex]

So the number of waves in 1 mm of distance is:

[tex]n=\frac{1\cdot 10^{-3} m}{4\cdot 10^{-7} m}=2500[/tex]

Explanation:

B.

The final thermal energy of the system is the sum of the original internal energy of the system and the change in energy of the system (ΔE). When the piston does work (W), all the thermal energy is transferred to kinetic energy.

The law of conservation of energy states that the total energy of a closed system remains constant over time. This includes both mechanical and thermal energies, where mechanical energy is the sum of kinetic and potential energy, and is conserved in the absence of external forces. The first law of thermodynamics encompasses this principle through the statement that the change in internal energy of a system is equal to the heat added to the system plus the work done on it. So the correct option is A.

The law of conservation of energy in a closed physical system indicates that the total energy within the system remains constant over time. This concept is articulated in the question which concerns how mechanical and thermal energies are conserved within such a system. To clarify, none of the answer choices directly match the principles of energy conservation as generally understood in physics. However, using the information provided, we can explore the principles relevant to the question.

In a closed system, mechanical energy, which includes both kinetic and potential energy, is conserved unless acted upon by external forces. If a piston does work (W), it may convert some of the system's internal energy to kinetic energy, but the total mechanical energy of the system will not change. This aligns with the principle that during any process, the change in a system's mechanical energy will be equal to the work done on the system minus any heat transfer (Q).

According to the first law of thermodynamics, the change in internal energy of a system (ΔE) is equal to the heat added to the system (Q) plus the work done on the system (W). This statement encompasses the conservation of thermal energy as part of the system's total energy. The energy may shift between mechanical and thermal forms, but the total remains the same.

Therefore, the interpretation of the law of conservation of energy should reflect these ideas, and none of the answer choices provided perfectly do so. The closest is perhaps option A, which mentions the transfer of mechanical energy and the work done by the piston, but the phrasing about energy differences is not accurate.

Answer:

9.2 N

Explanation:

F = ma

F = m Δv / Δt

F = (0.150 kg) (4.4 m/s − 0 m/s) / 0.072 s

F = 9.2 N

Answer:

9.2Newtons

Explanation:

Just got it right on edg

Answer:

Neil Armstrong and Pilot Buzz Aldrin.

Explanation:

Neil Armstrong and Pilot Buzz Aldrin were the first people on the moon.

This happened on July 20, 1969, at 8:17.

Answer:

86.6Nm(j)

Explanation:

we know,

w=Fd

w=17.32*5

w=86.6Nm.

as we know the distance but we doesnot know the exact force .becauseit acts at an angle.This mean the orginal force of 20N is essentially split up in 2 direction in along axis of displacement ,and perpendincular direction that occur at 30degree angle.

the resultant displacement of object is along a line inclined by 30 degrees of that orginal plane ,then the force acting in the direction of that displacement equal to 20*cos30.I.e,17.32 .

Answer:

false

Explanation:

because

scalar quantity :has only magnitude but no direction

vector quantity : has both magnitude and direction

Final answer:

The correct answer is D. 0 m/s. This is because the ball has no initial vertical velocity when launched horizontally from a cliff.

Explanation:

The initial vertical velocity for a ball launched horizontally from a cliff would be 0 m/s. This is because when an object is thrown horizontally, it means that all of its initial velocity is in the horizontal direction, and thus it has no initial vertical velocity.

Looking at our options:

Explanation:

the process by which heat or electricity is directly transmitted through the material of a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Final answer:

Conduction is the process of transferring heat through direct contact between two objects at different temperatures, as seen when you hold a glass of ice water or cook a steak on a skillet.

Explanation:

Conduction is the process of heat transfer through stationary matter by means of physical contact. Heat essentially moves from a higher temperature region to a lower temperature one within the material. It's the same mechanism at play when an electric burner transfers heat to the bottom of a pan, where the particles in the pan attain energy from the particles of the burner by direct contact.

A common experience with conduction is when you hold a glass of ice water and the heat from your hand is transferred to the glass, subsequently melting the ice.

Conduction is also a key process during cooking when, for example, a steak absorbs heat from a hot iron skillet. In both scenarios, heat is conveyed by the energetic motion and collision of particles from a warmer body (the hand or the skillet) to a colder one (the glass or the steak)

Answer:

Hi there!

The answer is: A. True

Answer:7.92 gallons

Explanation:

Ek = 6KJ.

In physics, the kinetic energy of a body or object is the one that owns due to its movement and is given by the equation [tex]E_{k} = \frac{1}{2} mv^{2}[/tex], where m is the mass of the object in kilograms and v is the velocity in m/s.

An object that it has a mass of 30 kilograms and moves with a velocity of 20m/s, its kinetic energy is given by:

[tex]E_{k} = \frac{1}{2} (30kg)(20m/s)^{2}=6000J=6KJ[/tex]