what average power is generated by the engine of a scale model dump truck, which has a mass of 70.0 kg, and which climbs a slope having a height of 335 m in an elapsed time of 95 min? give your answer in watts.

Answer:

C.  240 N

Explanation:

I think you have the third answer choice incorrect. It should be 240N because that is the correct answer

From newtons law of gravitation, the gravitational force equation between two objects is given by

[tex]F = \dfrac{Gm_1m_2}{r^2}[/tex]

where m₁ and m₂ are the masses of the two objects, G = gravitational constant and r the distance between the objects

If we double m₁ and m₂, the new gravitational force becomes

[tex]F = \dfrac{G(2m_1)(2m_2)}{r^2} = \dfrac{4Gm_1m_2}{r^2}\\\\[/tex]

which is 4 times the original force

So if original force = 60 N, then resultant force after doubling both the masses = 4 x 60 =240N

The total resistance of the 6 resistors connected in a series DC circuit is 48 ohms

The resistance of the resistor 1 = 4 ohms

The resistance of the resistor 2 = 7 ohms

The resistance of the resistor 3 = 12 ohms

The resistance of the resistor 4 = 8 ohms

The resistance of the resistor 5 = 2 ohms

The resistance of the resistor 6 = 15 ohms

Let R₁, R₂, R₃, R₄, R₅, R₆ be the resistance of the 6 resistors.

The total resistance of the resistors connected in series can be found using the formula

            R = R₁ +  R₂ + R₃ + R₄ + R₅ + R₆

where R is the total resistance of the resistors

Let us substitute the known values in the above equation, we get

          R = 4 + 7 + 12 + 8 + 2 + 15

             = 48 ohms

Therefore, the total resistance of the 6 resistors connected in series is 48 ohms

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The disappearance of the reactant and not the appearance of the product in this experiment is flipping the sign-on rates for reactants.

The reaction rate is a measure of the change in concentration of the disappearance of a reactant or the change in concentration of the appearance of a product per unit of time. The vanishing rate value is always negative because the reactant concentration is consumed in the reaction. The product is formed in a reaction, so the rate of occurrence value is always positive.

The rate of reaction is defined as the rate of disappearance of reactants and the rate of appearance of products, and the rate constant is the constant of proportionality between reaction rate and concentration conditions. The rate of a chemical reaction can be measured as the rate of appearance of one of the products or the rate of disappearance of one of the reactants. If the reactant concentration decreases, use the negative sign to represent the rate of reaction for the reactant.

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The final momentum of the ball of mass 50 g moving with a velocity 50 m/s after coming to rest due to friction is zero.

p = m v

p = Momentum

m = Mass

v = Velocity

m = 50 g

v = 0 ( After rest due to friction )

p = 50 * 0

p = 0

Momentum is called as mass in motion. If there is no motion on the object there could be no momentum. Its unit is Kg m / s.

Therefore, the final momentum of the ball is zero ( b )

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Answer:

C. 24,600

Explanation:

Work = F × s

Work = 36.8 × 668

SO

Work = 24,582J rounding up to 24,600 J

Answer:

24,600

Explanation:

Answer:

(A) Mitochondrial DNA matches the lineage of multiple people.

Explanation:

Answer:

[tex]vf=vi+at\\vf=15\\vi=0\\a=?\\t=5\\\\15=0+a5\\a=\frac{15}{5} \\a=3[/tex]

Therefore the acceleration is 3m/s^2

Explanation:

We will be using the kinematics big five equations. Specifically, the one without displacement (d).

Write out your values and substitute the, into the equation.

Solve for a.

Note. Starts from stop so vi=0

Changing velocity of an object will always have a constant acceleration.

Changing velocity is the rate of change of displacement with respect to time.

When an object is moving at a constant velocity, it means that the moving object has no acceleration.

Acceleration due to gravity is the best example of constant acceleration.

Therefore, when something has constant acceleration, it means that it has change in its velocity which is same in every time interval.

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Answer:

changing velocity

Explanation:

Winter tyres reduce braking distance by 10% on wet surfaces and by 20% on snow.Tire tests are used to analyze a tire's performance in terms of grip, wear, noise, rolling resistance and behavior

Performance tires are made to improve the handling and traction of sports cars and other vehicles, especially in dry and wet situations. They play a crucial role in providing the thrilling driving experience that competitive drivers desire.

Because the sidewalls are already rigid, tires with low and ultra-low profiles (aspect ratios of 30-45) are frequently high performance tires. These tires' drawbacks include their increased noise level, increased bumpiness, and often shorter tread life compared to touring tires.

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Answer:

475 Joules

Explanation:

Kinetic energy in Joules is given by the equation

KE = (1/2) m x v²

where

m = mass of the object in kg

v = velocity in m/s

If velocity is reduced by half from v to v/2, then KE is reduced by 1/4 since

new KE = (1/2) x m x (v/2)² = 1/4 x previous KE

Since previous KE = 1.9 x 10³ J

new KE = 1/4 x 1.9 x 10³ J

= 0.475 x 10³ J = 475 Joules

a) In a magnetic field, a diamagnetic substance is weakly repelled.

b) A magnetic field attracts a paramagnetic substance.

c) ferromagnetic material - a material that is strongly attracted to a magnetic field.

Diamagnetism is an extremely weak type of magnetism induced by such a magnetic field applied that alters electron orbital mobility. This magnetism occurs only in the presence of an external magnetic field.

Paramagnetic magnets are metals that are only mildly attracted to magnets. Examples include aluminum, gold, and copper. The atoms of this chemical include electrons, the majority of which spin in the same direction, but not all. This influences the polarity of the atom.

A ferromagnetic substance possesses spontaneous magnetization just at the atomic level in the absence of an external magnetic field. When a ferromagnetic substance is subjected to an external magnetic, it's become strongly magnetized in the direction of the magnetic field.

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The angle of refraction will be 26.4°

Organic substances include ethanol. With the chemical formula C2H6O, it is a straightforward alcohol. Its chemical formula can also be expressed as C2H5OH or CH3CH2OH. Ethanol is a volatile, flammable, colorless liquid with a pronounced wine-like aroma and unpleasant taste.

The angle of incidence is the angle formed by an incident ray and the normal, or line perpendicular to the incident surface, at its point of incidence. Any type of wave, including optical, acoustic, microwave, X-ray, and others, can create a ray.

Refraction is the path of a light wave being bent as it crosses the divide between two media. Refraction results from a wave's change in speed when it encounters a change in medium.

The angle of refraction, which depends on the material's refraction index, is the degree by which this light bends away from or toward the normal line. Each type of material has its own constant known as the refraction index. The amount that an incident light beam is refracted as it passes through directly affects it. It is frequently represented as n and may be calculated by dividing the velocity of light moving through the medium (v) by the speed of light in a vacuum (c):

n = c / v

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the weight of the car is 11500 newtons, normal force on the car is 11100 newtons and friction force on the car is 2967 newtons.

what is newtons law of motion?

newtons law of motion is a set of laws given by Sir Issaac newton for calculating the distance covered by a body with constant acceleration or the velocity of the object.

what is weight and normal force?

weight is the force exerted by the body on the surface of earth.

normal is the force exerted by the surface perpendicular to a force.

SI unit of the weight and normal is newton.

given:

mass of the car = 1150 kg

angle of inclination = 15°

In the free body diagram weight of the car will act in downward direction and a friction force parallel to the surface of the inclined plane against the motion and a normal force perpendicular to the surface.

the weight of the car is = mass of the car × acceleration due to gravity

acceleration due to gravity = 10m/s²

therefore, the weight of the car is 11500 newtons

normal force acts against cosine component of the weight.

cosine 15° × weight of the car = normal force

0.965 × 11500

normal force = 11100 newtons

friction force will act against sine component of the weight.

friction force on the car = sin 15° × 11500

friction force on the car = 2967 newtons

therefore, the weight of the car is 11500 newtons, normal force on the car is 11100 newtons and friction force on the car is 2967 newtons.

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The weight of the diver in newtons is 770 N.

The total decrease or increase in the gravitational potential energy of the diver and Earth system can be given by,

∆U = mg∆h

Where,

ΔU is the change in gravitational potential energy,

m the mass of the diver,

g is acceleration due to gravity,

∆h is the total change in height.

It is given that the change in gravitational potential energy is 28500 joules and the change in height is 37 m.

Now putting all the values,

28500 = mg(37)

m = 770 Kg.

Hence, weight of the diver is 770N.

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Work done in lifting a 110N child for 0.5m is 55 Joules.

The work done by a force is defined as the product of the force's component in the direction of displacement and the magnitude of displacement.

Work can be computed by multiplying Force by Distance in the force's direction, as shown below.

W = F × d  (where F= force & d= displacement).

The standard unit used to measure energy and work done in physics is the joule, which has the symbol J. In mechanics, 1 joule is the energy transferred when a force of 1 Newton is applied to an object and moves it through a distance of 1 meter.

Work done (W)= F×d

W= 110×0.5

Therefore,

W= 55 Joules.

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Answer:33.75m

Explanation: If you are throwing a rock down a cliff with a speed of 7.50m/s and it reached the ground in 4.50 seconds the height of the cliff will be 33.75m because 7.50m/s x 4.50s = 33.75

An object is said to get an impulse when a force is delivered to it over a predetermined amount of time. Where J is the impulse, F is the force, and t is the time, the formula for the impulse's magnitude is:

The momentum of an object changes when it receives an impulse, as in: The energy amount leaving the heated water is equal to the energy amount entering the cool water. This implies:

q gained = q lost

This results in the following substitution: (25.0) (85.0 x)(0.45) = (75.0) (x 20.0). (4.184)

Solve for x.

Please take note of the use of the iron-specific heat value. The temperature is 0.45 J per gram Celsius.

Considering that 75/25 = 3, we arrive to the following equation: 38.25 0.45x = 12.552x 251.04 and 13.002x = 289.29. The solution is 22.25 °C.

Be aware that the temperature of the iron decreases significantly whereas the water just changes by 2.25 degrees in this example. This is the typical scenario for a problem of this nature.

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Answer:

Explanation:

West (8.9 - 5.4) = 3.5 meters

Let each half of the tourist's running time be t.

During the first half time, the speed of the car is 4 km/h

Distance covered d1​ = 4t km

During the second half time, the speed of the car is 1 km/h

Distance covered d2 = t km

Total distance covered D = d1 +d2 = 4t + t = 5t

Total time is taken T = 2t

Average speed = D/T = 5t/ 2t = 2.5 km/hour

The diagram can be represented as:

                                              Mid-point            

______4km/hour_→_________°                    1 km/hour →__________

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The temperature can be thought of as a description of the level of heat. The correct option is c.

Temperature is a measure of how hot or cold something is expressed in terms of one of several scales, including Fahrenheit and Celsius.

The average kinetic energy of the molecules in water is measured by temperature.

Temperature can be thought of as an expression of the "intensity" with which a body's thermal energy manifests itself in the form of chaotic, microscopic molecular motion.

The total energy of all molecular motion inside an object is defined as its heat. Temperature is a measure of the thermal energy or average heat of a substance's molecules.

Thus, the correct option is c.

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A 9-sided die has 9 sides meaning that there are a total of 9 possible outcomes.

We are interested in the outcomes "7" OR a "8"

The probability that the number rolled is a "7" is given by

There is only 1 favorable outcome which is to roll a "7" and the total number of outcomes are 9.

So, the probability that the number rolled is a "7" is 1/9

The probability that the number rolled is a "8" is given by

There is only 1 favorable outcome which is to roll a "8" and the total number of outcomes are 9.

So, the probability that the number rolled is a "8" is 1/9

The probability that the number rolled is a "7" OR a "8" is given by

There is a 2/9 probability that the number rolled is a "7" OR a "8".

The total time in the air during uniform motion is 10.10 seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 0 m/s

s = 125 m

a = g = 9.8 m/s²

By using the third equation, we can find the time taken to fall to the ground

s = vo . t + 1/2 . a . t²

125 = 0.t + 1/2 . g . t²

1/2 . 9.8 . t² = 125

t² = 250/9.8

t = 5.05 seconds

The total time should be twice

t total = 2t

t total = 2 . 5.05

t total = 10.10 seconds

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The energy that a body or object has as a result of being in a gravitational field is known as gravitational potential energy. Because of the gravitational attraction, this energy is dependent on how high an object is in relation to a point of reference.

The gravitational potential energy will have the following value in the case of the Earth, when the gravitational field is thought to remain constant:

u = mgh

   Where:

m = 120 kg is the skydiver's weight.

g = 80 m/s the gravitational acceleration

h = 200m  the skydiver's height

Answer PE = 1920000 J.

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With atmospheric perspective, objects further from the viewer appear cooler and less distinct.

The term "atmospheric perspective" describes how the atmosphere affects how objects appear when viewed from a distance. Further away things are less distinct, and their color changes in value, saturation, and hue. Exaggerating these effects in your painting will help you as an artist to add more atmosphere and feeling to your creations.

This enhances the appearance of depth and distance and contributes to the setting of the landscape's atmosphere and vibe. This tone and feeling are crucial components of the visual poetry of a landscape painting. Aerial perspective is another name for atmospheric perspective.

In order to convey a sense of distance and depth in a painting, an artist can employ either atmospheric perspective or linear perspective.

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It is a true statement that Rotating frames of reference cause objects to accelerate toward the center of the circle, creating centripetal force.

The centripetal force is the force that acts towards the center of the motion. We knw that it is this centripetal force that keeps an object moving in a circular path. It prevents the object from being thrown out.

Hence, we can see that in spite of the opposing forces, what would stop the object from falling out of the field of the circular motion is the centripetal force that acts on it in the circular path.

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A comet speeds up as it approaches the Sun. Which statement about its kinetic energy is correct option is - (1) The comet has no kinetic energy because it is in outer space.

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Answer:

Factors that Affect Kinetic Energy Quick Check

Explanation:

1. KE=1/2mv^2

2.The comet’s kinetic energy increases.

3. 3,388 J

4. The wagon will have more kinetic energy than when it was empty.

5. Find two objects with the same mass and think of a way to demonstrate their kinetic energies at different velocities.

Answer:

Originally, stellar classification or the way astronomers classify stars, was done primarily through mass, temperature, and color. Since stars have more characteristics than mass, temperature, and color, scientists have adapted and added to star classification. divided stars into four broad, numbered categories based on common spectral features.

Explanation:

The velocity after impact if the falcon's velocity is initially 28.5 m/s and the dove's velocity is 5.95 m/s in the same direction is 23.58 m/s

Momentum is never created or destroyed inside a problem domain, according to the principle of momentum conservation. Momentum is only changed by the action of forces as Newton's equations of motion describe them.

Velocity after impact if the falcon's velocity is initially 28.5 m/s and the dove's velocity is 5.95 m/s in the same direction is 23.58 m/s.

Mass 1 = m₁ = 1.25 kg

Mass 2 = m₂ = 0.275 kg

Speed 1 = v₁ = 28.5 m/s

Speed 2 = v₂ = 5.95 m/s

Speed 3 = v₃ = ?

m₁v₁ + m₂v₂ = (m₁ + m₂)v₃

v₃ = [m₁v₁ + m₂v₂] / (m₁ + m₂)

v₃ = [(1.25 x 28.5) + (1.25x 0.275)] / (1.25 + 0.275)

v₃ = [ 35.625 + 0.34375] / 1.525

v₃ = 35.96 / 1.525

= 23.58 m/s

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Answer:

Explanation:

The timbre of the concert flute is homogeneous in all registers with only the very lowest and highest notes exhibiting any different qualities. Because they contain few overtones, the lowest notes can sound rather dull, dry and hollow which gives them a melancholy character.

The force on the output piston to lift a car is 17 ×10⁴N

The push or pull on a mass-containing item changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

We are given that,

The input area of the piston = A₁ = 0.0580m²

The output area of the piston = A₂ = 0.680m²

The lift a car weighing = F₁ = 1.45× 10⁴N

Therefore , the input force on the piston can be calculated by the formula,

F₁/A₁= F₂/A₂

( 1.45× 10⁴N)/(0.0580m²) =F₂ /( 0.680m²)

F₂ = ( 1.45× 10⁴N)/(0.0580m²) ×( 0.680m²)

F₂ = 17 ×10⁴N

Thus, the output effort of the piston on the car would be 17 ×10⁴N.

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