a small car of mass 420 kg is pushing a large truck of mass 940 kg due east on a level road. the car exerts a horizontal force of 1600 n on the truck.What is the magnitude of the force that the truck exerts on the car?

θ = 39.7º is the angle in degrees that the string makes with respect to the vertical using Newtons law.

In each exercise, we construct the equations at the equilibrium point using Newton's second law for the sphere. We'll assume that plate 1 is on the left for this exercise.

Y Axis

    Y= -W = 0 = W

X axis

       X= - F_{e2} + Tₓ = 0

Let's utilize trigonometry to determine the tension's component parts. We gauge the angle in relation to the vertical

        sin θ = Tₓ / T

        cos θ = T_{y} / t

        Tₓ = T sin θ

        T_{y} = T cos θ

Gauss's law can be used to determine the electric field of each leaf. Since a cylinder forms a Gaussian surface, the component of the field perpendicular to the cylinder's base is the one containing electric flow.

 F = ∫ E. dA

The flow is towards both sides of the plate in this instance, and the scalar product is reduced to the algebraic product.

F = 2E A = q_{int} / ε₀

let's use the concept of surface charge density

       σ = q_{int} / A

we substitute

       2E A = σ A /ε₀

         E = σ / 2ε₀

    T cos θ = mg

         - q σ₁ / 2ε₀  - q σ₂ /2ε₀  + T sinθ = 0

we introduce t in the second equations

         - q /2 ε₀  (σ₁ + σ₂) + (mg / cos θ) sin θ = 0

         mg tan θ = q /2ε₀   (σ₁ + σ₂)

         θ = tan -1 (q / 2ε₀ mg (σ₁ + σ₂)

data indicates the mass of 0.26 g = 0.26 10⁻³ kg

give the charge density on plate 2, suppose ab = 10 10⁻⁶ C / m²

let's calculate

        θ = tan⁻¹ (9.0 10⁻¹⁰ (30 + 10) 10⁻⁶ / (2  (6.25 10⁻¹² *0.26 10⁻³ 9.8))

        θ = tan⁻¹ 8.3 10⁻¹)

        θ = 39.7º

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Answer:

The bending moment is 459.16 N.m

Explanation:

From the given information;

Let's assume that the angle is 66°

Then, the free body diagram is draw and attached in the file below.

Now, the calculation of the acceleration from the first part of the free body diagram is:

\(\sum F_x = ma_x \\ \\ 796 - 50(9.81) sin 66=50a \\ \\ 796 - 448.094 = 50 a \\ \\ a = \dfrac{347.906}{50} \\ \\ a = 6.96 \ m/s^2\)

Bending moment M:

From the second part of the diagram:

\(\sum M_B = mad \\ \\ M - (15 \times 9.81) (1.5) = (25 \times 6.96)(1.5 sin 66) \\ \\ M - 220.725 = 238.435 \\ \\ M = 238.435 + 220.725 \\ \\ \mathbf{M = 459.16 \ N.m}\)

Answer:

7 protons, 8 neutrons, 7 electrons

Explanation:

Protons, electrons and neutrons are three sub-atomic particles present in an atom. Protons and neutrons are present in the nucleus while electrons are present outside the nucleus.

The number of protons, which is also the ATOMIC NUMBER, is equal to the number of electrons in a neutral atom (no overall charge). In this case, the number of protons is 7, however, since the charge of this Nitrogen atom is 0, it means that the number of electrons is also 7.

The mass number, denoted by A, is the sum of the number of protons and neutrons in an atom i.e.

A = number of proton + number of neutron.

In this case of Nitrogen isotope where the mass number is 15, the number of neutron will be mass number - number of protons i.e. 15 - 7 = 8.

Therefore, the number of protons, neutrons and electrons are 7, 8 and 7 respectively.

Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.

Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:

Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.

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Answer:

Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.

Explanation:

Louis de Broglie's principle of electrons states that (b) They behave as a wave and a particle.

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Answer:

the unit for ΔL/L is "unitless".

Explanation:

Given;

ΔL/L

by physics convection, the above parameters can be defined as;

delta L (ΔL) is change in length, with SI unit as meters (m),

L is the original length of the material, with SI unit as meters (m)

The ratio of the change in length to the original length has no unit since both units cancel out during the division.

\(\frac{\Delta L }{L } = \frac{(m)}{(m)} = \ unitless\)

This ratio (ΔL/L), is also called tensile strain and it has no unit.

Therefore, the unit for ΔL/L is "unitless".

It will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.

Specific heat is the amount of heat energy required to raise the temperature of a substance by one degree Celsius or one Kelvin per unit mass.

Here,
To solve this problem, we can use the formula for the amount of heat required to change the temperature of an object,

Q = mcΔT

First, we need to calculate the amount of heat required to raise the temperature of the hot dog from 20∘C to 85∘C:

Q = (0.07 kg)(2500 J/kg⋅K)(85∘C - 20∘C)

Q = 1058.5 J

Next, we can use the formula for electrical power,

P = IV

We can rearrange this formula to solve for the current:

I = P/V

The power required to heat the hot dog can be calculated using the formula for electrical power:

P = V²/R

Substituting the given values, we get:

P = (120 V)²/160 Ω

P = 90 W

I = 90 W/120 V

I = 0.75 A

Finally, we can use the formula for the amount of time required to transfer a certain amount of heat:

t = Q/(IΔT)

Substituting the values we calculated, we get:

t = 1058.5 J/(0.75 A)(65∘C)

t = 233.34 s

Therefore, it will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.

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Answer:

the photoelectric effect

Explanation:

Light wave can be defined as an electromagnetic wave that do not require a medium of propagation for it to travel through a vacuum of space where no particles exist.

The behavior of light that shows that it is a wave include the following;

I. Interference: it occurs when two pair of waves such as sound and light waves pass through each other i.e crossing each other's path while traveling through the same medium or space.

II. Reflection: it can be defined as a phenomenon which typically involves a change in the direction of a ray of light or waves as it falls on a smooth surface.

III. Refraction: it's a bend in the direction of light.

However, the photoelectric effect of light describes light as a particle.

Answer:

12.483 Kpa

46.806 Kpa

Explanation:

Man's height = 1.8m

Pheart = 13.3 * 10^3

Density of blood (ρ) = 1060 kg/m³

Height difference between heart and brain (Hh - Hb) = 0.35m

g = acceleration due to gravity = 9.8 m/s²

Acceleration (a) = 12 m/s²

Blood pressure in brain :

Pbrain = Pheart - ρ(a - g) * (Hh - Hb)

Pbrain = 13.3 * 10^3 - 1060(12 - 9.8) * 0.35

Pbrain = 13300 - (2332 * 0.35)

Pbrain = 13300 - 816.2

Pbrain = 12483.8 pascal = 12.483 Kpa

Blood pressure in feet :

Pbrain = Pheart + ρ(a + g) * 1.8 - (Hh - Hb)

Pbrain = 13.3 * 10^3 + 1060(12 + 9.8)*(1.8 - 0.35)

Pbrain = 13300 + 1060(21.8 * 1.45)

Pbrain = 13300 + 33506.6

Pbrain = 46806.6 pascal = 46.806 Kpa

Answer:

The maximum density of water occurs at around 4° Celsius. The density of ice is less than liquid water, so it floats. Upon freezing, the ice density decreases by about 9%.

Explanation:

thanks for the question

Answer:

A. magnetic field

Explanation:

The magnetic field is produced around a wire when an electrical current is in the wire because of the magnetic effect of the electric current therefore the correct answer is option A .

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

As given in the problem statement we have to find out what is produced around a wire when an electrical current is in the wire.

The magnetic field is produced as a result when an electrical current is passed through the conducting wire .

Option A is the appropriate response because a wire's magnetic field is created when an electrical current flows through it due to the magnetic influence of the electric current .

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Answer:As relative density is the ratio of similar quantities, it has no unit.So RD remains the same in both CGS and SI unit

Explanation: i did the test

Answer:

Explanation:

The horizontal velocity is 1.61.

The letter that represents the various descriptions is as follows:

5.) Angle of incidence: B

6.) Object: D

7.) Plain mirror:A

8.) Reflection: E

9.) Angle of reflection: C

10.) Normal: F

The law of reflection in a plain mirror states that the angle of reflection is equal to the angle of incidence.

The diagram explains the law of reflection on a plain mirror because it shows the reflection of the object D as E after creating an angle of incidence B on the plane mirror surface A which is equal to the angle of reflection C.

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Answer: Contact force

a. Applying break in a vehicle.

d. The speed of ball rolling on ground is reduced

Non contact force

b. A coconut falling from a coconut tree.

c. The planets revolving around the sun.

Explanation:

The contact force is the force which exerts when one object or entity comes in contact with other object or entity. For example, on application of break the vehicle stops, the force is applied on the breaks to stop the vehicle. The ball rolling on the ground the speed reduces so the application of force on the ground also reduces.

The non contact force is the force one object exerts on the other without coming in direct contact with the other object. The force exerted by one object on other due to gravity is a non contact force. The coconut falling on the ground and planets revolving around the sun are examples of non contact force due to gravity.

Given:

The phenomenon of beats occurs when tuning two musical instruments

To find:

The reason

Explanation:

Two waves with nearly the same frequencies and same amplitudes superimposed with each other produce beats. If an instrument is sounded against a standard frequency and tuned until the beats disappear then the instrument is in tune with the standard frequency. The tones interfere constructively and destructively with each other.

Hence, the second option is the correct one.

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

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The specific latent heat of fusion of ice obtained from this experiment is approximately 583.33 J/g.

To determine the specific latent heat of fusion of ice using the given experiment, we need to consider the energy transferred during the process.First, we need to calculate the energy lost by the water to cool down from 25 °C to 0 °C. The energy lost is given by:

Q1 = m1 * c * ΔT1

Where:

m1 = mass of water = 100 g

c = specific heat capacity of water = 4.2 J/g °C

ΔT1 = change in temperature = (0 °C - 25 °C) = -25 °C

Q1 = 100 g * 4.2 J/g °C * (-25 °C) = -10,500 J

Next, we calculate the energy released by the water to freeze and cool the remaining ice. The energy released is given by:

Q2 = m2 * Lf

Where:

m2 = mass of ice = 18 g

Lf = specific latent heat of fusion of ice (to be determined)

Q2 = 18 g * Lf

Since energy is conserved in the system, the energy lost by the water (Q1) is equal to the energy released by the water (Q2):

-10,500 J = 18 g * Lf

Solving for Lf:

Lf = -10,500 J / 18 g = -583.33 J/g

The negative sign indicates that energy is being released during the process of freezing.

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Explanation:

General relativity is a theory of space and time. ... The central idea of general relativity is that space and time are two aspects of spacetime. Spacetime is curved when there is matter, energy, and momentum resulting in what we perceive as gravity. The links between these forces are shown in the Einstein field equations.

Answer:

a = 0.273 m/s²

Explanation:

I would assume that the rider starts at 0m/s.

a = average acceleration

v = final velocity = 3 m/s

v0 = initial velocity = 0 m/s

t = time = 11 s

a = (v-v0)/t

a = (3m/s - 0m/s) / 11s

a = 0.273 m/s²

I am not sure how many decimals I should round it to, so I just gave three. If your teacher has instructions on that, do so accordingly.

Answer:

10m/s2

Explanation:

250/25=10

Answer:

I would assume a force of gravitational pull.

Explanation:

Answer:  How powerful the pull is or how many magnetic things it can pick up at one time, or a heavy magnetic object.

Explanation:

Explanation:

soil texture-the relative content in the soil of precipitation rock or anthropogenic formations of particles of various sizes independent of the chemical or mineralogical composition

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The Correct expression will be :

According to the electromagnetic spectrum and relation between energy and wavelength which is inverse longer the wavelength,lower is the  energy.

The electromagnetic spectrum consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.

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Answer:

It isn't moving

Explanation:

Answer:

im useless

Explanation:

W=M*G

1kg=1000g

X=450kg

1000g/1000g

X=450/1000=0.45g*10N/g =4.5N or W=M*G

450kg*10N/Kg =4500N

W=M*G

1kg=1000kg

x=450kg

1000g/1000g=55/1000=0.055g*10N/g

=0.55N

Nuclear power should be used to generate electricity because of the following reasons:

Nuclear power refers to the power that is produced as a result of nuclear reactions that occurs in atoms of elements.

The nuclear reactions that produce nuclear power are:

The energy produced during nuclear reactions is clean, can be controlled, and is very enormous and is used to produce electricity.

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The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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velocity = traveled distance ÷ time of the traveled distance is seconds

velocity = 600 ÷ 60

velocity = 10 m/s

_________________________________

Kinetic Energy = 1/2 × mass × ( velocity )^2

KE = 1/2 × 60 × ( 10 )^2

KE = 30 × 100

KE = 3000 j