A 10-kg cart moving at 5 m/s collides with a 5-kg cart at rest and causes it to move 10 m/s. Which principle explains the result? A) law of differential mass B) law of conservation of momentum C) law of unequal forces D) law of accelerated collision

Answers

Answer 1

Hello!

A 10-kg cart moving at 5 m/s collides with a 5-kg cart at rest and causes it to move 10 m/s. Which principle explains the result? A) law of differential mass B) law of conservation of momentum C) law of unequal forces D) law of accelerated collision

We have the following data¹:

ΔP (momentum before impact) = ?  

mA (mass) = 10 kg

vA (velocity) = 5 m/s

mB (mass) = 5 kg

vB (velocity) = 0 m/s

Solving:

ΔP = mA*vA + mB*vB

ΔP = 10 kg*5 m/s + 5 kg*0 m/s

ΔP = 50 kg*m/s + 0 kg*m/s

Δp = 50 kg*m/s ← (momentum before impact)

We have the following data²:

ΔP (momentum after impact) = ?  

mA (mass) = 10 kg

vA (velocity) = 0 m/s

mB (mass) = 5 kg

vB (velocity) = 10 m/s

Solving:

Δp = mA*vA + mB*vB

Δp = 10 kg*0 m/s + 5 kg*10 m/s

Δp = 0 kg*m/s + 50 kg*m/s

Δp = 50 kg*m/s ← (momentum after impact)

*** Then, which principle explains the result ?

Law of conservation of momentum, since the total momentum of body A and B before impact is equal to the total momentum of body A and B after impact.

Note:  Bodies of different masses and velocities may have the same kinetic energy, if proportionality between the units is maintained it can occur that they have the same kinetic energy.

Answer:

B) law of conservation of momentum

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Related Questions

What statement best defines a universal law A. it is in effect at all times B. It operates only under specific conditions C. It is in effect some of the time D. It changes over time

Answers

The answer is  A. it is in effect at all time
Universal law is basically the concept of legal protection on basic rights  that is given to all human beings all over the world ever since they're born until they're dead.
Of course, in application, universal law has to face some problems such as a tyrannical government, that's why organization such as united nations exist in order to make sure universal laws will be imposed in all over the world

What does the term mccarthyism describe? To whom does it refer?

Answers

Mccarthyism describes a political witchhunt, specifically refers to Sen. McCarthy's cold war era congressional commitees whose aim was to investigate and "out" or reveal individuals with communist "sympathies".

McCarthyism refers to the practice of making accusations of subversion or treason without proper regard for evidence.

It also refers to the use of unfair investigatory or accusatory methods in order to suppress opposition or stifle political dissent. The term originates from the actions of U.S. Senator Joseph McCarthy, particularly in the years 1950 to 1954, when he was chairman of the Senate Permanent Subcommittee on Investigations.

During this time, McCarthy became the most visible public face of a period of intense anti-communist suspicion inspired by the tensions of the Cold War. His controversial and aggressive tactics, which included public accusations of disloyalty and treason without substantial evidence, led to the term McCarthyism being coined to describe such behavior.

The term has since taken on a broader meaning, not confined to the historical context of McCarthy's activities, and is used to describe demagogic, reckless, and unsubstantiated accusations, as well as guilt by association and the harassment of political opponents.

If i play two pure tones, one at 100 hz and the other at 110hz, will we perceive beats? if so, what will be the beat frequency

Answers

A human will be able to perceive beats if two pure tones, one at 100 hz and one at 110 hz, are played simultaneously. The beat frequency will be 10 hz. In other words, a human will perceive 10 oscillations per second.

Where in an atom would you expect to find electrons? protons? neutrons?

Answers

Protons and neutrons are in the nucleus, while electrons are on the outside of the nucleus.  

Which structure is found in all EUKARYOTIC cells? Large central vacuole, Golgi apparatus, flagella, cilia

Answers

The answer is Golgi apparatus.
HOPE THIS HELPS!

Answer:

Golgi apparatus.

Explanation:

» Accelerating Lear Jet

Mike is piloting a lear jet traveling at 193.8 m/s. He accelerates at 13.5 m/s2 over a distance of 2370 meters. How fast will the jet be moving at the end of this acceleration

Answers

The equation relevant to use here is:

v^2 = v0^2 + 2 a d

where,

v is final velocity = ?

v0 is intial velocity = 193.8 m/s

a is acceleration = 13.5 m/s^2

d is distance = 2370 m

 

v = sqrt [193.8^2 + 2 (13.5) 2370]

v = 318.67 m/s

A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. the player's foot is in contact with the ball for 1.6 × 10-3 s, and the force of the kick is given by f(t) = [(7.0 × 104)t - (1.6 × 106)t2] n for where it is in seconds. find the magnitudes of the maximum force on the ball from the player's foot during the period of contact,

Answers

The maximum force can be found by the following formula: fmax = impulse/time. We are given that time is 1.6 x 10^-3s, so to find impulse, we need to integrate the function from 1.6 x 10^-3 s to 0. We find that impulse = 0.08742, so fmax = .08742/1.6x1-^-3 = 54.63 N.

What is the function of a diaphragm in a film camera

Answers

In optics, a diaphragm is a thin opaque structure with an opening (aperture) at its center. The role of the diaphragm is to stop the passage of light, except for the light passing through the aperture.

A driver traveled 270 km in 3 hours. The driver’s destination was still 150 km away. What was the driver’s average speed at this point?

Answers

The driver was going 90 kilometers every hour.
Final answer:

The driver's average speed up to that point in the journey is 90 km/h, calculated by dividing the distance traveled, 270 km, by the time spent, 3 hours.

Explanation:

To find the driver's average speed at a given point during the trip, we divide the total distance traveled by the total time spent traveling. In this case, the driver has traveled 270 km in 3 hours. Using the formula for average speed, which is average speed = total distance / total time, we can calculate the average speed as follows:

average speed = 270 km / 3 hours = 90 km/h.

Therefore, the driver's average speed at this point in the journey is 90 km/h. This calculation doesn't take into account the remaining distance to the destination, which is 150 km away.

A wire is wrapped around a piece of iron, and then electricity is run through the wire. What happens to the iron?

Answers

Search ResultsBy simply wrapping wire that has an electrical current running through it around a nail, you can make an electromagnet. When the electric current moves through a wire, it makes a magnetic field. ... You can make a temporary magnet by stroking apiece of iron or steel (such as a needle) along with a permanent magnet.

Hope This Helps!

"you discover a planet orbiting a distant star that has about the same mass as the sun, with an orbital period of 63 days. what is the planet’s orbital distance?"

Answers

0.31 AU Since the mass of the new star is roughly equal to the mass of the sun, you can assume the same orbital characteristics apply. So using Kepler's Third law, the period of the orbit is proportional to the square root of the cube of the orbit distance. First, determine how much faster the orbit period is compared to Earth. 63 / 365 = 0.172603 Since the period is proportional to the square root of the cube (3/2 power), you can invert that and raise the relative period to the 2/3 power. So 0.172603^(2/3) = 0.31 Since the Earth's semi-major axis is 1 AU, that would mean that the new planet's semi-major axis is 0.31 AU.
Final answer:

The planet's orbital distance is approximately 0.028 astronomical units (AU).

Explanation:

The orbital distance of a planet can be calculated using Kepler's Third Law. Kepler's Third Law states that the square of the orbital period of a planet is proportional to the cube of its average distance from the Sun. In this case, the planet has an orbital period of 63 days, which is approximately 0.1726 years. The sun's mass is approximately 1 solar mass. We can use these values to solve for the planet's orbital distance.

Using the formula for Kepler's Third Law, we have:

T^2 = (4*pi^2*a^3)/G*M

Where T is the orbital period, a is the orbital distance, G is the gravitational constant, and M is the mass of the Sun.

Plugging in the values we have:
T^2 = (4*pi^2*a^3)/(6.67430 × 10^-11 m^3 kg^-1 s^-2 * 1 solar mass)

Simplifying the equation, we can solve for a:
a^3 = (T^2 * G * M)/(4*pi^2)

Taking the cube root of both sides, we find:
a = ((T^2 * G * M)/(4*pi^2))^(1/3)

Let's plug in the values:
a = ((0.1726^2 * 6.67430 × 10^-11 m^3 kg^-1 s^-2 * 1 solar mass)/(4*pi^2))^(1/3)

a ≈ 0.028 AU

Therefore, the planet's orbital distance is approximately 0.028 astronomical units (AU).

A microwave oven operates at 2.00 ghz . what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers.

Answers

Since frequency and wavelength have inverse relationship. It can be expressed by the equation: ν.λ = c Where, v = frequency of the electromagnetic wave. λ = it's wavelength c = the speed of light in a vacuum. v = 2.00 Ghz x 10^9 Hz / 1 Ghz = 2.00 x 10^9 Hz that means that in one second it covers 2.00 x 10^9 cycles. λ = 3.10^8 m/s / 2.00 x 10^9 /s = 1.25E-10 nanometers

Answer:

1.5x10^8

Explanation:

An example of an atom that has no charge is one that has A. 2 protons, 2 electrons, and 1 neutron. B. 3 protons, 2 electrons, and 1 neutron. C. 1 proton, 2 electrons, and 3 neutrons. D. 3 protons, 1 electron, and 3 neutrons.

Answers

Choose the one that has least amount of neutrons because lesser neutrons equals lesser charge Hope this Helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What occurs when a swimmer pushes through the water to swim?

Answers

Friction occurs when a swimmer pushes through the water to swim. 

Hope this helps:)
An equal and opposite reaction force is exerted on the swimmer by the water, propelling the swimmer in the direction opposite to his push.
Also, he usually gets his hair wet.

A 1100-kg car pulls a boat on a trailer. (a) what total force resists the motion of the car, boat, and trailer, if the car exerts a 1900-n force on the road and produces an acceleration of 0.550 m/s2 ? the mass of the boat plus trailer is 700 kg. (b) what is the force in the hitch between the car and the trailer if 80% of the resisting forces are experienced by the boat and trailer?

Answers

Final answer:

The total resistive force against the car, boat, and trailer is 910 N. The force experienced in the hitch between the car and the trailer is 728 N.

Explanation:

This is a classic problem that involves applying Newton's second law and the concept of net force. Newton's second law states that Force = mass * acceleration. Let's begin with the first part of the question.

Given that the car has a mass of 1100 kg and it accelerates at 0.550 m/s2, and uses a force of 1900 N, we realize that this force is not just accelerating the car, but also overcoming some resistance. The total force exerted by the car is the sum of the force to overcome the resistance and the force to accelerate both the car and the trailer. We calculate this total force as follows:

Force_moving = (Mass_car + Mass_trailer) * Acceleration

Force_moving = (1100 kg + 700 kg) * 0.550 m/s2

Force_moving = 990 N

The resistive force then is the difference between the force the car exerts on the road and the force needed to move: Force_resistance = Force_exerted – Force_moving = 1900 N – 990 N = 910 N

In the second part of the question, we’re asked to figure out the force in the hitch between the car and the trailer, if 80% of the resisting forces are experienced by the boat and trailer. We simply take 80% of the resisting force:

Force_hitch = 0.80 * Force_resistance = 0.80 * 910 N = 728 N

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Final answer:

The total resisting force to the motion of the car, boat, and trailer is 910N. The force in the hitch between the car and the trailer, experiencing 80% of the resisting force, is 728N.

Explanation:

The subject of this question pertains to Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

(a) We can use this equation to calculate the total a total force that resists the motion of the car, boat, and trailer: F = ma. Here, F is the net force, m is the total mass (car + boat + trailer), and a is the acceleration. Plugging in the given values (F = (1100kg + 700kg) * 0.550m/s²), we find the net force is 990 N. Since the car is exerting a force of 1900 N, the force resisting the motion can be found by subtracting this net force from the force exerted by the car (1900N - 990N), which gives 910 N.

(b) If 80% of the resisting forces are experienced by the boat and trailer, then the force on the hitch would be 80% of the total resisting force, i.e., 0.8 * 910 N = 728 N.

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The sun delivers an average power of 1.499 w/m2 to the top of neptune's atmosphere. find the magnitudes of vector e max and vector b max for the electromagnetic waves at the top of the atmosphere.

Answers

See attachment for answer:

Magnitudes of vector e max and vector b max for electromagnetic waves at top of the Neptune's atmosphere are 23.76V/m and 17.92×10⁻⁸ T respectively.

What is magnetic field?

The magnetic field is the field in the space and around the magnet in which the magnetic field can be filled.

The maximum magnetic field experienced at the top of the Neptune's atmosphere can be given as,

[tex]B_{max}=\sqrt\dfrac{2\mu_oI}{c}[/tex]

Here, (μ₀) vacuum permeability, (I) is the intensity, and (c) speed of light in vacuum.

As the sun delivers an average power of 1.499 w/m2 to the top of Neptune's atmosphere. Thus, the b max is,

[tex]B_{max}=\sqrt{\dfrac{4\pi\times10^{-7}\times1.499}{3\times10^8}}\\B_{max}=7.92\times10^{-8}[/tex]

Now the value of E max is,

[tex]E_{max}=B_{max}\times c\\E_{max}=7.92\times10^{-8}\times 3\times10^{8}\\E_{max}=23.76\rm\; V/m[/tex]

Thus, the magnitudes of vector e max and vector b max for electromagnetic waves at the top of the atmosphere are 23.76V/m and 17.92×10⁻⁸ T respectively.

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A wheel with radius 0.487 m rotates 5.75 times every second. find the period of this motion.

Answers

Final answer:

To find the period of a wheel that rotates 5.75 times per second, use the formula T = 1/f, resulting in a period of 0.174 seconds.

Explanation:

To find the period of the motion for a wheel that rotates 5.75 times every second, we can use the relationship between frequency (f) and period (T). The frequency is the number of revolutions per second, which we're given as 5.75 revolutions per second. The period is the time it takes to complete one revolution. The formula that relates frequency and period is T = 1/f.

Plugging in the given frequency:

T = 1/5.75

Calculating this gives us:

T = 0.174 s

Therefore, the period of this motion, which is the time it takes the wheel to make one complete revolution, is 0.174 seconds.

Why is it misleading to describe atmospheric pressure as simply the weight of the air only pressing down on a surface?

Answers

Commonly when we talk about gases in science, we describe them as having the characteristics of a liquid. Imagine a rock in a bucket with liquid surrounding it. The liquid surrounds the rock and exerts pressure on it from all sides. Atmospheric pressure is much the same way. It surrounds the object and exerts pressure on it from all sides as well. Weight describes the force that gravity exerts on a mass whereas atmospheric pressure depends on the density of air at a certain point. If there were less air in our atmosphere (like Mars) the pressure would be much less and the opposite is true as well. However, the mass of a solid object would not change due to this change in air pressure and would weight the same regardless of the atmosphere.

The velocity of a 40 kg object increases from 20 m/s to 30 m/s in 2 seconds. What is the acceleration of the object during these 2 seconds

Answers

I think it would be 5 m/s.

Racing greyhounds are capable of rounding corners at very high speeds. a typical greyhound track has turns that are 45 m diameter semicircles. a greyhound can run around these turns at a constant speed of 16 m/s . part a what is its acceleration in m/s2? express your answer to two significant figures and include the appropriate units. a = 11 ms2 submitmy answersgive up correct part b what is its acceleration in units of g ? express your answer using two significant figures.

Answers

The relationship between acceleration, velocity and radius is given as:

a = v^2 / r

 

Since we are given a diameter of 45 m, hence the radius is 22.5 m.

a = (16 m/s)^2 / 22.5 m

a = 11.38 m/s^2

 

In 2 significant figures:

a = 11 m/s^2

Final answer:

A greyhound running around a semicircular racetrack at a constant speed is experiencing centripetal acceleration due to its changing direction, which, in this case, is approximately 5.71 m/s² or 0.58g.

Explanation:

A greyhound running around a semicircular racetrack at a constant speed is not accelerating in the linear sense. However, because its direction is continually changing, it is experiencing centripetal acceleration. Centripetal acceleration can be calculated by the formula a = v^2/r, where v is the speed, and r is the radius of the circular path. Plugging in the given values, we obtain an acceleration of approximately 5.71 m/s²

To find the acceleration in units of g, we need to divide this value by the acceleration due to gravity, which is approximately 9.80 m/s². Therefore, the dog's acceleration is approximately 0.58g. In conclusion, the greyhound experiences a centripetal acceleration of about 5.71 m/s², which is equivalent to 0.58g, when it is running around the turns at the given speed.

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A 231-ω and a 206-ω resistor are connected in series across an unspecified power supply. if the current through the 231-ω resistor is 0.39 a, what is the exact current (in
a.through the 206-ω resistor? do not include units with your answer.

Answers

As we know same current flows in a series circuit
so in this case current through both the resistors is equal, which is 0.39 a....

The characteristics of series circuits, we can find that the current in the two resistances the same, the answer is:

i = 0.39 A flows in the 206 Ω resistor

Electric circuits are a system formed by resistors, capacitors and coils, through which the electric current flows, these circuits can be classified:

Parallel circuits. In these circuits there are several branches in such a way that the current is divided between each branch according to its resistance, the advantage that if one branch is broken by the others, electricity can continue to flow. Series cicuits In this type of circuit there is only one path for the current, which is why when it breaks, the current in the entire circuit is interrupted.

In this case it is indicated that we have a series circuit, for which all the current must flow through the path, consequently all the current of the circuit must pass through the two resistors.

In conclusion, using the characteristics of series circuits, we find that the current in the two resistances the same, the answer is:

i = 0.39 A flows in the 206Ω  resistor

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Superman throws a boulder of weight 3800 n at an adversary on the surface of the earth, where the magnitude of the acceleration due to gravity, g = 9.80 m/s2 . what horizontal force must superman apply to the boulder to give it a horizontal acceleration of 12.8 m/s2 ?

Answers

The weight of the boulder is 3800 N, therefore its mass i s
3800/9.8 = 387.755 kg

If the horizontal acceleration is 12.8 m/s², then the horizontal force applied is
F = (387.755 kg)*(12.8 m/s²) = 4.963 x 10³ n = 4.963 kN

Answer: 4.963 kN
Final answer:

Superman must apply a horizontal force of approximately 4963.33 N to the boulder to achieve the desired acceleration of 12.8 m/s^2. This calculation is based on the weight of the boulder and the given acceleration due to gravity.

Explanation:

To determine the horizontal force that Superman must apply to the boulder to achieve the given horizontal acceleration, we first need to calculate the mass of the boulder. Since the weight of the boulder (W) is given by the formula W = mg, where m is the mass of the boulder, g is the acceleration due to gravity (9.80 m/s2), and W is the weight (3800 N), the mass of the boulder (m) can be calculated as follows:

m = W / g = 3800 N / 9.80 m/s2 = 387.76 kg (rounded to two decimal places).

Now that we know the mass, we can find the horizontal force (F) needed to achieve the horizontal acceleration (a) using Newton's second law, F = ma. Substituting the known values results in:

F = m * a = 387.76 kg * 12.8 m/s2 = 4963.33 N.

So, Superman must apply a horizontal force of approximately 4963.33 N to provide the boulder with the desired acceleration of 12.8 m/s2.

The loudness of a sound is related to the _____ of the sound wave.
Wavelength
Frequency
Velocity
Amplitude

Answers

The loudness of a sound is related to the amplitude of the sound wave.

Answer: D) or the fourth option.

The loudness of a sound is related to the amplitude of the sound wave. The correct answer is amplitude and the correct option is option (4).

Amplitude refers to the maximum displacement of particles in a medium from their rest position as a sound wave passes through it. In simpler terms, it measures the strength or intensity of the sound wave. A larger amplitude corresponds to a louder sound, while a smaller amplitude corresponds to a softer sound.

Wavelength, frequency, and velocity are other properties of sound waves, but they are not directly related to the loudness of the sound.

Wavelength is the distance between two consecutive points in a sound wave, frequency represents the number of complete cycles of the wave that occur in one second (measured in hertz), and velocity is the speed at which the sound wave travels through a medium. These properties can affect other characteristics of the sound wave, such as pitch or timbre, but they do not directly determine the loudness.

Therefore, The loudness of a sound is related to the amplitude of the sound wave. The correct answer is amplitude and the correct option is option (4).

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A certain very bright star has an effective surface temperature of 20 000 K. Assuming that it radiates as a blackbody, what is the wavelength at which () is maximum?

Answers

look at your messages 

how much time would it take for an airplane to reach its destination if it traveled at an average speed of 790 km/hr for a distance

Answers

I think your question is incomplete because the distance between destination and departure point isn't given in the question

Block b rests upon a smooth surface. if the coefficients of static and kinetic friction between a and b are μs = 0.4 and μk = 0.3, respectively, determine the acceleration of each block if p = 6 lb

Answers

Given

Weight of the block A, Wa = 20 lb, weight of block B Wb = 50 lb. Applied force to block A, P = 6lb, coefficient of static friction µs = 0.4, coefficient of kinetic friction µk = 0.3. If a force P is applied to the body, no relative motion will take place until the applied force is equal to the force of friction Ff, which is acting opposite to the direction of motion. Magnitude of static force of friction between block A and block B, Fs = µsN, where N is reaction force acting on block A. Now, resolve the forces Fx = max. P = (mA + mB)a,

 

6 = (20 / 32.2 + 50 / 32.2)a

 

2.173a = 6

 

A = 2.76 ft/s^2

 

To check slipping occurs between block A and block B, consider block A:

P – Ff = mAaA

6 – Ff = 1.71

Ff = 4.29 lb

 

And also,

N = wA. We know static friction,

Fs = µsN

Fs = 0.4 x 20

Fs = 8lb

Frictional force is less than static friction. Ff < Fs

Therefors, acceleration of block A, aA = 2.76 ft/s^2, acceleration of block B aB = 2.76 ft/s^2

Final answer:

Between blocks 'a' and 'b', the coefficients of friction come into play. If the force transmitted from block 'b' to 'a' is greater than the maximum static friction, block 'a' will move and its acceleration can be calculated.

Explanation:

The smooth surface implies there is no friction between block 'b' and the surface. However, there is friction between blocks 'a' and 'b'. Hence, the given coefficients of static and kinetic friction, μs = 0.4 and μk = 0.3 would apply there. If the force 'p' was applied to block 'b', since there is no friction between 'b' and the surface, 'b' would move freely with acceleration a = F/m (F: applied force, m: mass of the block).

For block 'a', the acceleration would depend on whether the frictional force is able to resist the force being applied through block 'b'. The static friction is given by μs * N (N: Normal force - equal to the weight of block 'a' in this case), which has to be overcome to set the block motion. Once it starts moving, kinetic friction, given by μk * N, comes into effect. If the force transmitted from block 'b' to 'a' is greater than the maximum static friction, block 'a' will start to move and its acceleration can be calculated by subtracting the kinetic friction from the transmitted force and dividing by the mass of block 'a'.

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Describe the relationship of the Earth’s lithosphere to the asthenosphere.

Answers

The Earth's soft putty-like Asthenosphere carries the Lithosphere (which is like a giant jig-saw puzzle fit around the Earth), and the giant continents on its back.

Answer:

Lithosphere floats on the top of Asthenosphere

Explanation:

The earth crust is made up of tectonic plates and these tectonic plates are always in flow. Together the earths crust and mantle beneath it is called lithosphere. On the other hand the area beneath the mantle is called the asthenosphere. Actually lithosphere is solid in nature and asthenosphere is semi solid or liquid nature. The lithosphere floats on the asthenosphere.

A 960 kg motorboat accelerates away from a dock at 2.3 m/s2 .t Its propeller provides a thrust force of 4.1 kN .

Answers

For a motorboat:
F m = m · a = 960 kg · 2.1 m/s² = 2208 N
Propeller provides trust force F p = 4.1 kN = 4100 N
We have to find drag force exerted by the water on the boat.
F = 4100 N - 2208 N = 1892 N = 1.9 kN ( with 2 significant figures )
Answer: 1.9 kN

m = 960 kg a = 2.3 m/s^2 F = ma = 960 x 2.3 = 2208 N Thrust force = Fa + Fd Drag Force Fd = 4100 - 2208 = 1892 N

A 2.41 kg block is pushed 1.42 m up a vertical wall with constant speed by a constant force of magnitude f applied at an angle of 59.9 ◦ with the horizontal. the acceleration of gravity is 9.8 m/s 2 . 2.41 kg 59 f .9 ◦ if the coefficient of kinetic friction between the block and wall is 0.521, find the work done by f.

Answers

Final answer:

The work done by the force can be calculated using the formula: Work = Force * Distance. The magnitude of the force can be found using trigonometry, and then the work is calculated by multiplying the force by the distance moved. The work done by the force ƒ is 15.32 Joules.

Explanation:

The work done by the force ƒ can be calculated using the formula:

ƒ = Fd

where F is the magnitude of the force and d is the distance moved. In this case, the force ƒ is equal to the horizontal component of the applied force. We can find this component using trigonometry:

ƒ = Fcosθ

where θ is the angle between the force and the horizontal direction. Substituting the given values, we have:

ƒ = (20 N)cos(59.9°)

ƒ = (20 N)(0.539)

ƒ = 10.78 N

Now we can calculate the work done by the force ƒ using the formula:

Work = ƒd

where d is the distance moved. In this case, the distance moved is 1.42 m. Substituting the values, we have:

Work = (10.78 N)(1.42 m)

Work = 15.32 J

Therefore, the work done by the force ƒ is 15.32 Joules.

A rocket experiences a constant force even as the amount of fuel in its fuel tanks decreases. What happens to the acceleration of the rocket as it runs out of fuel?

A - The acceleration decreases because the mass increases.B - The acceleration increases because the mass increases.C - The acceleration decreases because the mass decreases.D - The acceleration increases because the mass decreases.

Answers

the correct answer is D

We can answer this question by looking at Newton's second law:

[tex]F=ma[/tex]

which can be rewritten as

[tex]a=\frac{F}{m}[/tex]

where F is the force experienced by the rocket, m is its mass, a is its acceleration. In the rocket's case, the mass of the rocket decreases (because the fuel in the tank decreases), while the force remains constant, so the ratio F/m increases, and therefore the acceleration of the rocket increases.

Therefore, the correct answer is

D - The acceleration increases because the mass decreases.

Other Questions
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