a real heat engine working between heat reservoirs at 980 k and 630 k produces 700 j of work per cycle for a heat input of 2800 j .

Answer:

Velocity is a vector whose magnitude is called speed. Collision study needs to analyse the transfer of momentum, which is another vector quantity associated with the velocity vector of each object

Explanation:

The important concept to recall is that velocity is a vector quantity, which has direction apart from just magnitude (as speed is). So in the transfer of momentum (another vector quantity) that takes place in a collision, it is extremely important to know the direction of the velocity vector, since there is much larger transfer of momentum if the cars collide heads on, than if the cars collide from behind while going in the same direction.

(a) The work done by the applied force is 32.6 J.

(b) The work done by gravity on the block is 29.4 J.

(c) The magnitude of the normal force is 29.4 N.

The force applied to the block is determined by applying the formula for the net force on the block.

F(net) = 0

Fcosθ - mg - Fsinθμ = 0

Fcosθ - Fsinθμ = mg

F(cosθ - sinθμ) = mg

F = (mg) / (cosθ - sinθμ)

F = (3 x 9.8) / (cos26  -  0.2 x sin26)

F = 36.25 N

The work done by the applied force is calculated as;

W = Fd cosθ

W = (36.25 x 1) x cos(26)

W = 32.6 J

The work done by gravity on the block is calculated as follows;

W = mgd

W = 3 x 9.8 x 1

W = 29.4 J

The magnitude of the normal force is calculated as follows;

N = mg

N = 3 x 9.8

N = 29.4 N

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Answer:

v = 0.58 m/s

Explanation:

The velocity of an object is given as the ratio of the total distance traveled by the object to the time interval taken for traveling. Hence, we use the following formula to find the average velocity of the cyclist:

v = s/t

where,

v = average velocity = ?

s = distance traveled = final position - initial position =1200 m - 150 m =1050 m

t = time interval = (30 min)(60 s/1 min) = 1800 s

Therefore,

v = 1050 m/1800 s

v = 0.58 m/s

Answer:

Hey dear

Explanation:

Its option C

As Wavelength increases frequency decreases

In other case,

When Wavelength decreases frequency increases

its opposite

Tq

The power required to lift the rock is 250 Watts.

Power is defined as the amount of work done per unit time. In this case, the work done is the force applied multiplied by the distance moved, which is:

The time taken to lift the rock is 2 seconds. Therefore, the power required is:

However, this is the power required to lift the rock at a constant speed. To accelerate the rock from rest to the final velocity in 2 seconds, additional power is needed. Assuming the rock is lifted at a constant acceleration, the average power is:

Therefore, the power required to lift the rock is 25 W to maintain a constant speed, or 250 W to accelerate the rock from rest to the final velocity in 2 seconds.

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v2=u2+2as

v2=0×2×25×0.25

v2=25×0.25

v2=6.25m/s2

Answer:

the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.

Explanation:

1) Since each bulb has a resistance of 3.00 Ω, we can calculate the number of bulbs: n = R/R_bulb = 96 Ω/3.00 Ω = 32 bulbs. There are 32 light bulbs in the circuit.

2) The total resistance is equal to the sum of individual resistances: R_C = 120 Ω - 6 Ω - 18 Ω = 96 Ω. The resistance of bulb C is 96 Ω.

In a series circuit, the total resistance is equal to the sum of individual resistances. Using Ohm's Law, we can find the total resistance:

R = V/I = 120.0 V/1.25 A = 96 Ω

Since each bulb has a resistance of 3.00 Ω, we can calculate the number of bulbs:

n = R/R_bulb = 96 Ω/3.00 Ω = 32 bulbs

Therefore, there are 32 light bulbs in the circuit.

In a series circuit, the total resistance is equal to the sum of individual resistances:

R_eq = R_A + R_B + R_C

Substituting the given values:

120 Ω = 6 Ω + 18 Ω + R_C

Solving for R_C:

R_C = 120 Ω - 6 Ω - 18 Ω = 96 Ω

Therefore, the resistance of bulb C is 96 Ω.

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Answer:

Kinetic energy

Explanation:

The  spring constant is 400 N/m. For the given question.

What is spring constant ?

The spring constant (k) is a physical property of a spring, which represents the stiffness of the spring. It is defined as the force required to stretch or compress a spring by a certain amount (x) divided by that amount of deformation:

k = F/x

where F is the applied force and x is the displacement or deformation of the spring from its equilibrium position. The spring constant has units of force per unit of length, such as newtons per meter (N/m) in the SI system of units. A higher spring constant means that more force is required to deform the spring by the same amount, and the spring is considered to be stiffer. Conversely, a lower spring constant means that less force is required to deform the spring by the same amount, and the spring is considered to be more flexible.

We can use the conservation of energy to find the spring constant.

Initially, the box has kinetic energy given by:

K₁= (1/2)mv₁²

= (1/2)(4.0 kg)(3.0 m/s)²

= 18 J

At maximum compression, all of the kinetic energy is stored as potential energy in the spring. The potential energy stored in a spring is given by:

U = (1/2)kx²

where k is the spring constant and x is the displacement from the equilibrium position. In this case, x is the compression of the spring, which is 0.30 m.

So, the potential energy stored in the spring is:

U = (1/2)kx²

= (1/2)k(0.30 m)²

= 0.045k J

Since energy is conserved, we can equate the initial kinetic energy to the potential energy stored in the spring:

K₁= U

18 J = 0.045k J

k = 400 N/m

Therefore, the spring constant is 400 N/m.

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The radius of curvature of the highway exit is approximately 220 km.

To find the radius of curvature of the highway exit, we can use the centripetal force equation:

F = mv^2 / r

where F is the maximum static friction force, m is the mass of the car, v is the maximum safe speed, and r is the radius of curvature.

We can solve for r by rearranging the equation:

r = mv^2 / F

Substituting the given values, we have:

r = (1000 kg)(25.2 m/s)^2 / (0.688)

r = 2.20 x 10^5 m

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The rope is under about 411.8 N of stress at point 1, and around 532.6 N of tension at point 2.

         /|

       / |

T1  /  |   θ1

   /     |

  /   θ1|

 /        |

/_____|

\           |

 \          | θ2

  \        |

T2  \    |

         \ |

           \|

The forces in the x and y axes must balance since the hammock is at rest. Consequently, we may write:

ΣF_x = T1 cosθ1 - T2 cosθ2 = 0

ΣF_y = T1 sinθ1 + T2 sinθ2 - mg = 0

Let's change the equations such that we can solve for T1 and T2:

T1 = T2 cosθ2 / cosθ1

T2 = (m g) / (sinθ2 - sinθ1)

T1 = T2 cos(38°) / cos(16°) = 0.773 T2

T2 = (70 kg)(9.81 m/s^2) / (sin 38° - sin 16°) = 532.6 N

Therefore, we can find T1:

T1 = 0.773 T2 = 0.773(532.6 N) = 411.8 N

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Answer:

  about 3.17647 hours

Explanation:

The appropriate relation is ...

  time = distance/speed

  time = (270 km)/(85 km/h) = 3 3/17 h ≈ 3.17647 h

It will take Derek about 3.17647 hours to drive the distance.

We can use the formula:

average velocity = displacement / time

Here, the displacement is the distance travelled, which is 9 km, and the time taken is 5 minutes, or 5/60 = 1/12 hours (since there are 60 minutes in an hour). Therefore:

average velocity = 9 km / (1/12 hours)

= 108 km/h

So the average velocity of the businessman is 108 km/h.

B. The difference between total nuclear mass before and after the reaction.

This is because you can see how much nuclear matter had actually been used in the reaction by finding the difference between the initial mass and final mass.

(a)The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).

(b)The weight of Curiosity on Earth is approximately 8820 Newtons.

a) The relationship between weight (P) and mass (m) is given by the formula P = m * g, where g represents the acceleration due to gravity. The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).

b) To calculate the weight of Curiosity on Mars, we need to determine the acceleration due to gravity on Mars. The acceleration due to gravity on Mars is approximately 3.71 m/s². Using the weight formula, we have P = m * g = 900 kg * 3.71 m/s² = 3339 N. Therefore, the weight of Curiosity on Mars is approximately 3339 Newtons.

c) The weight of Curiosity on Earth is significantly greater compared to its weight on Mars. On Earth, the acceleration due to gravity is approximately 9.8 m/s². Using the weight formula, we have P = m * g = 900 kg * 9.8 m/s² = 8820 N. Therefore, the weight of Curiosity on Earth is approximately 8820 Newtons.

The difference in weight between Earth and Mars is important because weight is directly related to the force of gravity. The greater weight on Earth indicates a stronger gravitational force, which affects the overall dynamics and requirements for missions like Curiosity.

It affects the launch and landing processes, the structural integrity of the spacecraft, the fuel and energy requirements, and the ability to conduct experiments and operate the robotic systems effectively. Understanding these differences is crucial for mission planning, spacecraft design, and mission success.

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Two identical metal spheres carry charges of + q and - 2q respectively.

It is given that initially sphere has different charges and momentarily brought in contact with each other.

When the spheres are touched then charge is equally redistributed among spheres such that now they possess the equal amount of charges.

When they are suspended from the thread their separation increases compared to previous situation because now the value of force increases because of the change in the product of charges.

For example, Suppose initially they possess 15 C and 17 C charge and after redistribution they both possess 16 C  of charge.

Product of charges=15*17=255

Final Product of charges=16*16=256

As force depends upon the Product of the charges so there will be more repulsive force.    

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Answer:

The mass flowrate of the cooling water needed to meet the regulation is 560 kg/s

Explanation:

The given information are;

The mass flow rate of the water = 562.0 kg/s

The temperature of the exit water = 330.0 K

The allowable temperature of the of released water into nearby river = 310.00 K

The temperature of the cool water with which the temperature of the exit water is cooled = 290.00 K

Therefore, we have;

Heat gained by the mixture = The heat of the final mixture exited to the river

Q = m×c×ΔT

\(m_w\) = 562.0 kg/s

The mass of the cooling water = x

The final temperature = 310 K

4.2×562×(330 - 310) = x×4.2×(310 - 290)

47208 = 84×x

x = 47208/84 = 560 kg

Therefore, the mass flowrate of the cooling water needed to meet the regulation = 560 kg/s.

Answer:

OD. -9.8 m/s2

Explanation:

The only force vertical force that is acting on the skier is gravity and since its pulling him back it's a negative force down the y axis.

The closer together they are the harder it is to hold on to because the magnetic field is stronger as it gets closer.

Answer:

D. The electromagnet's magnetic field is stronger close to it than far from it.​

Make a diagram to visualize the problem.

As you can observe, at point A the roller-coater has both mechanical energies, while at point B, it has just potential energy because it stops once reaches the 24-meters hill.

Using the law of conservation of energy, we have'

We can cancel out because they are the same, and solve for v_A.

Where g = 9.8 m/s^2, h_B = 24 m, and h_A = 11 m.

Therefore, the minimum velocity the roller-coaster would need when going over the 11-meters hill is 16 m/s.

To accurately measure the distance traveled by the fire ants, we could use a measuring tape or a GPS device. For short distances, a measuring tape would suffice, while for longer distances, a GPS device would provide more accurate measurements.

How to investigate the distance traveled by fire ants to collect resources?

To investigate the distance traveled by fire ants to collect resources, we could follow the following plan:

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Formula: s = d/t

s = speed

d = distance

t = time

We are given the distance and time, so we can use that to solve for the speed.

s = 100/16.6

s ≈ 6.02m/s

Best of Luck!

earth energy budget is the relationship between how much energy the earth receive from the sun and energy the earth radiates out.

Energy is described as the quantitative property that is displaced to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

The term earth's energy budget is also described as the  balance between of the amount of energy, that gets to the earth. from the Sun and the energy that leaves Earth and returns to the universe.

The earth's energy budget was mainly three types as shown:

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It is possible to have a zero instantaneous velocity with non-zero acceleration.

Considering an example of free fall or a stone released from some height. When the stone is at intial condition, then it has zero velocity, but it has gravitational acceleration; due to this gravitational acceleration, the stone starts moving just after releasing it.

Hence, it is possible to have zero velocity, but non zero accceleration.

The electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.

The magnitude of the electric field due to a point charge object follows the inverse square law, which states that the magnitude of the electric field is inversely proportional to the square of the distance from the charged object. Mathematically, this is expressed as:

\(E = k*q/r^2\)

where E is the electric field, k is Coulomb's constant (\(k = 9 x 10^9 N*m^2/C^2\)), q is the charge of the object, and r is the distance from the object.

We can use this formula to find the distance at which the electric field has a magnitude of 16 N/C. Let's call this distance x:

16 = \(k*q/x^2\)

We can rearrange this equation to solve for x:

x = \(\sqrt(k*q/16)\)

To find q, we need another piece of information. We know that the electric field has a magnitude of 9 N/C at a distance of 4.0 m. Using the same formula as before, we can solve for q:

9 = \(k*q/4^2\)

q = \(9*4^2/k\)

Now we can substitute this value for q into the equation for x:

x =\(\sqrt(k*(9*4^2/k)/16)\)

x =\(\sqrt(9*4^2/16)\)

x = \(\sqrt(36)\)

x = 6.0 meters

Therefore, the electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.

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Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.

Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.

In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.

The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.

A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.

Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.

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