A car has a velocity of 40 km/h in a direction 80° north of east. A coordinate system with the positive x axis pointing east and a positive y axis pointing north is chosen. Which component of the velocity vector is larger, x or y?



A. x
B. y
C. x=y

Answer:Sound travel faster in warm room.

Explanation:The speed of sound depends on the temperature of the medium. Mathematically, the relation between the speed of the sound and the temperature is give by:v=

is the ratio of the specific heats

R is the gas constant

T is the temperature of the medium

We know that the temperature of the warm room is more as compared to the cold room.

So, it is clear that the sound travel faster in a warm room. The particles move faster when the temperature is high.            

total goldfish = 36

orange goldfish= x = 7 more than twice the number of black goldfish

x = 2y + 7

Black goldfish = y

x + y = 36

x = 2y + 7

x-2y = 7

A.

x + y = 36

x - 2y = 7

When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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The equation for the magnitude of the system's acceleration is a = g + (2M/m), where g is the acceleration due to gravity and M and m are the masses of the two objects.

Acceleration is the rate of change of velocity in an object over time. It is the rate of change of the speed of an object, and is defined as the change in velocity divided by the change in time. In other words, it is the rate at which an object's speed changes. Acceleration can be caused by a change in the speed of an object, or by a change in its direction. It is usually measured in meters per second squared (m/s2). Acceleration can be either positive or negative, depending on the direction of the change in velocity.

a = g + (2M/m)

a = 9.81 m/s^2 + (2(8 kg)/(3 kg)) = 13.87 m/s^2

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Answer:

Mass

axis

distance

intertia

When a 95-kg halfback moving at 4.1 m/s is tackled from behind by an 85-kg cornerback running at 5.5 m/s in the same direction, their mutual speed immediately after the tackle is 1.96 m/s.

The mutual velocity of two colliding bodies is the velocity of the center of mass of the system after the collision. In an inelastic collision, the total momentum of the system is conserved, but the kinetic energy is decreased. The final velocity of the system can be calculated by dividing the total momentum by the total mass of the system.

In this case, the mutual velocity after the tackle is equal to the velocity of the center of mass of the system formed by the halfback and the cornerback. By using the equation for the center of mass velocity, the mutual velocity after the tackle can be calculated as follows:

v_cm = (m1 × v1 + m2 × v2) / (m1 + m2)

where v_cm is velocity of the center of mass (mutual velocity or mutual speed),  m1 is the mass of the halfback, v1 is the initial velocity of the halfback, m2 is the mass of the cornerback, and v2 is the initial velocity of the cornerback.

v_cm = (95 kg × 4.1 m/s + 85 kg × 5.5 m/s) / (95 kg + 85 kg)

v_cm = 1.96 m/s

So the mutual speed immediately after the tackle was 1.96 m/s.

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Your question seems missing, but I suppose the question was:

"A 95-kg halfback moving at 4.1 m/s on an apparent breakaway for a touchdown is tackled from behind. When he was tackled by an 85-kg cornerback running at 5.5 m/s in the same direction, what was their mutual speed immediately after the tackle?"

This is the period in a simple harmonic motion which is 2 seconds in this question.

The period of an oscillatory object can be defined as the total time taken  by a vibrating body to make one complete revolution about a reference point.

We are given the below question

2×3.14√(1.0m/(9.8〖ms〗^(2) )= T

This question can as well be expressed as

2π√(L/g) which is equal to period T.

In a nut shell, Period T = 2×3.14√(1.0m/9.8)

T = 6.28√0.102

T = 6.28 × 0.32

T = 2.006 s

Therefore, the period T of the oscillation is 2 seconds approximately.

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Answer:

The atomic number is the number of protons in an element

Answer:

1) 1256.02 kJ

2)76.20 lb

3)2336.30 lb

Explanation:

The kinetic energy of a 4,934 pound pickup truck going 55 mph is:

First, we need to convert the mass of the truck from pounds to kilograms:

4,934 lb = 2,236.17 kg

The kinetic energy is given by the formula: KE = 0.5 * m * v^2

where m is the mass of the object and v is the velocity.

Plugging in the values, we get:

KE = 0.5 * 2,236.17 kg * (55 mph)^2 = 1,256,024.47 J

Converting to kJ, we get:

KE = 1,256,024.47 J / 1000 = 1256.02 kJ

A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?

The force required to overcome rolling resistance is given by the formula:

F = Crr * W

where Crr is the rolling resistance coefficient and W is the weight of the car.

First, we need to convert the weight of the car from pounds to Newtons:

4,992 lb = 22,612.88 N

Plugging in the values, we get:

F = 0.015 * 22,612.88 N = 339.19 N

Converting to pounds, we get:

F = 339.19 N / 4.45 = 76.20 lb

The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?

We cannot directly convert from kilowatt-hours to pounds, as they are two different units. However, we can use the energy density of the battery to estimate its weight.

Assuming an energy density of 200 Wh/kg for the battery, we can calculate the mass of the battery as:

212 kWh * 1000 Wh/kWh / 200 Wh/kg = 1060 kg

Converting to pounds, we get:

1060 kg * 2.205 lb/kg = 2336.30 lb

Answer:

Newtons third law states, "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object."

Explanation:

an illustration of this would probably be a missile.

Answer: C. “More mass is added to a wheelbarrow remains, and larger forces required to move it”

Answer: The mass of the first object is less than that of the second object.

Explanation:

ΣF = ma

a = ΣF/m

Thus, given two objects acted on by the same ΣF, a is inversely proportional to m. If a is larger, m must be smaller and vice-versa.

After pushing the pumpkin hard, you find yourself reversing direction at a speed of 4.0 m/s. 3.0 seconds after being pushed, the pumpkin will slide 12 m. Assume you weigh 60.0 kg.

We can use the conservation of momentum to solve this problem. After the push, the momentum of the system is given by:

p = (449 kg + 60 kg) * v

where v is the speed of the pumpkin and you after the push. Since you end up sliding backward at 4.0 m/s, we have:

v = -4.0 m/s

Substituting this into the expression for momentum, we find:

p = (449 kg + 60 kg) * (-4.0 m/s) = -2036 kg·m/s

The negative sign indicates that the momentum of the system is in the opposite direction of your motion.

During the sliding motion, the net force on the system is given by:

Fnet = (449 kg + 60 kg) * g * sin(θ)

where g is the acceleration due to gravity (9.81 m/s^2) and θ is the angle of the ramp. Since the ramp is smooth and horizontal, θ = 0 and Fnet = 0. Therefore, there is no net force to change the momentum of the system.

Using the equation for motion with constant acceleration, we can find the distance the pumpkin slides in 3.0 seconds:

x = x0 + v0t + (1/2)at²

Since the initial speed of the pumpkin is -4.0 m/s and there is no net force acting on it, its speed remains constant during the slide. Therefore, v0 = -4.0 m/s and a = 0. Substituting these values, we find:

x = x0 + v0t = (-4.0 m/s) * (3.0 s) = -12 m

The negative sign indicates that the pumpkin slides in the opposite direction to your motion. Therefore, the pumpkin slides 12 meters backward (i.e., towards you) in 3.0 seconds after the push.

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The electrical conductivity of copper at 300 K is 0.566 x 10⁸ Sm⁻¹.

Thermal conductivity and electrical conductivity are two different physical quantities used to describe the ability of a material to conduct heat and electricity respectively. Copper is a metal known to be an excellent conductor of both heat and electricity.

The relationship between thermal conductivity and electrical conductivity in copper is given by the Wiedemann-Franz Law, which states that the ratio of the electrical conductivity to thermal conductivity of a metal is proportional to its temperature.

To calculate the electrical conductivity of copper at 300 K, we will make use of the Wiedemann-Franz Law. The law states that:σ / κ = L T Where σ is the electrical conductivity, κ is the thermal conductivity, L is the Lorenz number, and T is the temperature of the material.

Substituting the values given in the problem, we get:σ / 470.4 = (2.45 x 10⁻⁸) x 300σ = (2.45 x 10⁻⁸) x 300 x 470.4σ = 0.566 x 10⁸ Sm⁻¹Therefore, the electrical conductivity of copper at 300 K is 0.566 x 10⁸ Sm⁻¹.

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The magnitude of the tension in the string marked A is 39.5 N.

The tension in A is determined thus:

The angle at A, θ = tan⁻¹(3/8) = 20.56

When extrapolated below negative x, the angle at B, α = tan⁻¹(5/4) = 51.34

When extrapolated below negative x, the angle at C, β = tan⁻¹(1/6) = 9.46

Taking the horizontal components of tension;

56.3cos(9.46) = A * cos(20.56) + B * cos(51.34)

0.6247B= 55.53 - 0.936A

B = (55.53 - 0.936A)/0.6247 ----(1)

Taking the vertical components of tension;

56.3 * sin(9.46) + A * sin(20.6) = B * sin(51.3)

9.25 + 0.35A = 0.78B  ---- (2)

substitute the value (1)  in (2)

9.25 + 0.35A = 0.78{(55.53 - 0.936A)/0.6247}

(9.25 + 0.35A) * 0.6247 = 43.31 - 0.73A

0.22A + 0.73A = 43.31 - 5.78

0.93A = 37.53

A = 39.5 N

In conclusion, the tension in A is determined by solving for the vertical and horizontal components of tension.

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The correct answer of a graph with shiftable lines will not require you to move both or any lines.

When the lines of a graph is shifted, the new line will have a new equation different from the original or previous line.

This means that you do not have to move the lines of the graph before getting the correct answer.

In all cases, the point of intersection of the two lines is the solution to the graph.

However, if the two lines do not intersect, then the graph does not have a solution.

So, the correct answer of a graph with shiftable lines will not require you to move both or any lines.

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The time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

An echo is a repetition or reflection of a sound or signal. It can be caused by sound waves bouncing off a surface, signal interference, or the repetition of a message in communication.

The speed of sound in air at room temperature is approximately 343 meters per second. When a person claps, the sound waves propagate outward in all directions and reach the school building, where they bounce off and return to the person as an echo. The time it takes for the sound to travel the distance to the building and back to the person is the time interval between the clap and the echo.

To calculate the time interval, we can use the following formula:

time = distance / speed

where distance is the total distance traveled by the sound (twice the distance from the person to the school building), and speed is the speed of sound in air.

distance = 2 x 300m = 600m

speed = 343 m/s

time = 600m / 343 m/s = 1.75 seconds (rounded to two decimal places)

Therefore, the time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

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The electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.

Given the data in the question;

Emf are invisible energy regions also called radiation, associated with the use of electrical power and various forms of lighting.

From Faraday's law; emf E is expressed as;

\(emf = -N\frac{\delta \theta }{\delta t}\)

Where N is number of loops, \(\delta \theta\) is change in magnetic flux ( \(\delta \theta_2 - \delta \theta_1\) ) and \(\delta t\) is change in time.

First we determine the change in flux through each loop;

\(\delta \theta\) =  ( \(\delta \theta_2 - \delta \theta_1\) )

\(\delta \theta = (1.33 * 10^{-4} Wb) - (6.78 * 10^{-4} Wb)\\\\\delta \theta = -0.000545\)

Now, we substitute our values into the expression above

\(emf = -N\frac{\delta\theta}{\delta t} \\\\emf = (-605) * (\frac{-0.000545}{0.0333}) \\\\emf = (-605) * (-0.016366)\\\\emf = 9.90V\)

Therefore, the electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.

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For an airplane whose speed is 60 m/s is flying at an altitude of 500 m over the ocean toward a stationary sinking ship, the horizontal distance  is mathematically given as

x=606m

Generally, the equation for the y axis distance  is mathematically given as

y=vt+0.5gt^2

Therefore

500=0t+1.2(9.8)t^2

t=10.1s

In conclusion,  the horizontal distance

x=vt

x=60*10.1

x=606m

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An astronaut measure the period of a mass spring system on Earth.

The period of a mass spring system on the moon would be longer than the period on Earth. This is because the period of a mass spring system is dependent on the square root of the ratio of the mass to the spring constant, and the acceleration due to gravity. Since the acceleration due to gravity on the moon is only 1/6th of that on Earth, the restoring force on the mass will be weaker, resulting in a longer period. Therefore, the astronaut would measure a longer period for the same mass spring system on the moon than on Earth.

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If you put your spoon in the microwave, nothing will happen to it as long as it has round edges and it is not touching any sides of the microwave.

Spoons are generally made from stainless steel. Stainless steels are iron and chromium. In some cases, other metals such as nickel are thrown into the mix.

Thus, being made of metals, these stainless steels are good conductors of heat and electricity.

A microwave works by heating foods put into it using electromagnetic radiation in the microwave frequency range. Electromagnetic radiation causes the molecules of food to rotate and produce thermal energy.

If the spoon touches the side of the microwave, sparks may result. Otherwise, it is totally fine because spoons usually have round edges. With rough edges,  the waves may be reflected back and forth and create sparks.

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1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.

2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.

3) There is no time interval in which no force acts on the object.

(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.

In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.

Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2

Acceleration, a = slope= 20/3 m/s^2

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.

Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.

(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.

The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:

Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.

Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.

(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.

Therefore, there is no time interval in which no force acts on the object.

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Answer:

Its speed remains the same but its velocity keeps chaging (in direction)

Explanation:

Given:

The diameter of one salt granule is: d = 0.062 mm = 0.0062 cm.

The length of the paper is: l = 28 cm

The width of the paper is: b = 22 cm

To find:

A number of salt grains are needed to cover the paper of the given dimensions.

Explanation:

One sand granule when placed on the paper, will cover the area "a" which is given as:

The area "A" of the given paper can be calculated as:

Now, the number of salt grains "N" needed to cover the paper can be calculated as:

Final answer:

20403634 salt granules are required to cover the area of the given paper.

In general, a reaction is sped up by increasing temperature and slowed down by decreasing temperature. But extremely high temperatures can denature an enzyme, causing it to lose its form and cease functioning.

As enzymes have a maximum temperature and pH at which their rate is maximal, temperature and pH can both raise or reduce the enzyme reaction rate. The pace of reaction for the enzyme will be slowed down by changes in temperature and pH that are not optimal.

An enzyme's concentration increases along with the speed of an enzyme-catalyzed process. An enzyme-catalyzed process accelerates with rising temperatures at low temperatures. The protein is denatured at higher temperatures, which also causes a sharp drop in reaction rate.

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A response is typically sped up by rising temperature and slowed down by falling temperature. However, exceedingly hot temperatures can denature an enzyme, causing it to lose its shape and stop working.

Temperature and pH have the ability to increase and decrease the rate of an enzyme reaction since enzymes have a maximum temperature and pH at which they function at their highest rate. Unfavorable variations in temperature and pH will cause the enzyme's reaction to proceed more slowly. The rate of an enzyme-catalyzed process increases as the concentration of the enzyme rises. When temperatures are low, an enzyme-catalyzed reaction speeds up as they rise. At higher temperatures, the protein is denatured, which also results in a dramatic decrease in response rate.

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Answer:

I think this is true

Explanation:

I am not sure

Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

The presence of friction in our experimental setup results in a ratio of (total moment before/total momentum after) the collision to be less than 1.0 because kinetic energy is lost to friction.

Collision is a case where one moving object or person violently collides with another.

Friction causes a constant loss of energy in moving objects because work is done by friction.

As we know momentum is P = m*v i.e. momentum (P) is directly proportional to the mass and velocity.

Due to presence of friction, velocity will be reduced after collision and hence the total momentum after collision will be reduced.

So,

Total momentum before collision < Total momentum after collision

Therefore, the ratio of total momentum before and after collision will be less than 1.0.

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The correct statement is " A dry cell battery has magnetic properties.", The correct option is C.

A dry cell battery does generate its own magnetic field due to the flow of electric current through the battery.

The magnetic field is created by the movement of charged particles (electrons) within the battery. This magnetic field is relatively weak and is not typically strong enough to be used for practical applications outside of the battery itself.

So, the magnetic properties of the dry cell battery are important for understanding its behavior within an electrical circuit.

Therefore, The correct answer is option C.

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Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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