in an experiment, block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above. when the two blocks collide, there is a completely inelastic collision and the blocks move together with speed . the blocks were both placed on a balance, and it is determined that they have the same mass. the experiment is repeated for four different initial speeds, and the data are shown in the chart below. it appears that the resulting data are not accurate. which measurement most likely produced errors in the data seen in the chart below?

Answers

Answer 1

The results that we get from the experiment is accurate within the limits of experimental error. Option E

What is true about the experiment?

We know that an experiment is the way by which we can be able to establish a cause and effect relationship. In this case, we can see that there is an inelastic collision that has occurred between the two blocks that have collided in the instance that we can see here.

Looking at the set up of the experiment, it is clear that the  block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above.

All of the set up is okay based on the way that such an experiment ought to be arranged to enable us to get a very accurate result out of the work that has been done here.

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In An Experiment, Block Is Given An Initial Speed Toward Block , Which Is Initially At Rest. The Blocks

Related Questions

A skydiver is travelling at their terminal velocity. The skydiver pulls the parachute cord and the air resistance force becomes greater than the weight force. What does this cause to happen?

Answers

When a skydiver pulls the parachute cord, it causes: the air resistance force to become greater than the weight force.

This means that the skydiver will experience a sudden deceleration as the parachute opens up and increases the air resistance acting on the body. As a result, the skydiver will slow down and gradually come to a stop.

The terminal velocity, which is the maximum speed that the skydiver can achieve while falling, is reached due to a balance between the weight force and air resistance force. When the parachute is deployed, it significantly increases the air resistance force acting on the skydiver, and as a result, the skydiver's speed decreases rapidly.

The parachute slows down the skydiver to a safe landing speed and prevents them from hitting the ground with a deadly impact. Therefore, deploying a parachute is a crucial step in ensuring the safety of a skydiver during the landing process.

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How much power does it take for a student to climb a flight of stairs if their mass is 75 kg, the height of the stairs is 10 meters, and it takes them 25 seconds to climb?

Answers

Hi there!

We can begin solving for the work necessary using the following:

\(W = \Delta U = mg\Delta h\)

W = Work (J)

Δh = change in height (10 m)
m = mass (75 kg)
g = acceleration due to gravity (9.8 m/s²)

Plug in the givens:

\(W = 75 \cdot 9.8 \cdot 10 = 7350 J\)

Now, we can solve for power with this equation:
\(\large\boxed{P = \frac{W}{t}}\)

P = Power (Watts)

W = Work (J)
t = time (s)

Plug in the values:


\(P = \frac{7350}{25} = \boxed{294 W}\)

Which of the following can occur when an object is accelerating?
A. It speeds up
B. It slows down
C.
Changes in Direction
D.
All of the above is acceleration

Answers

Answer:

D

Explanation:

Change in speed or direction is acceleration

An object accelerates when it is moving faster. Option A is corect.

What is acceleration?

The rate of velocity change concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

\(\rm a = \frac{v-u}{t}\)

Where,

u is the initial speed in m/sec

v is the final speed in m/sec

t is the time interval in sec

a is the acceleration in m/sec²

When an object is accelerating it speeds up.

Hence option A is correct.

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how does displacement vary with time when acceleration is constant and the initial velocity is zero? lab report

Answers

When acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate.

When acceleration is constant and the initial velocity is zero, displacement (d) varies with time (t) according to the equation d = 1/2at^2, where a is the acceleration. This equation can be derived from the relationship between velocity, acceleration, and displacement, which is given by the equation v^2 = u^2 + 2as, where u is the initial velocity.

Since the initial velocity is zero, the equation can be simplified to v^2 = 2as, where s is the displacement. By integrating both sides of the equation with respect to time, we get v = at, and by integrating again with respect to time, we get s = 1/2at^2.

Therefore, when acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate. The rate of increase of displacement depends on the magnitude of the acceleration. The greater the acceleration, the greater the rate of increase of displacement. The displacement at any time can be calculated by substituting the time into the equation d = 1/2at^2.

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Use what you have learned in the reading to answer the following question. The point of a compass needle points to Earth’s north pole. The point in the compass needle has–

~the same polarity as Earth's north pole.
~the opposite polarity from Earth’s north pole.
~no polarity.
~unlimited polarity.

Answers

I would say unlimited polarity because the compass’s needle is always attracted to Earth’s north pole.

Good luck to you!

The point in the compass needle has the opposite polarity from Earth’s north pole. The correct option is B.

What is a compass needle?

The compass needle A magnetized pointer within a compass that can freely align with the Earth's magnetic field.

The magnetic needle is the most important part of the compass. It swings around the compass as you move, but the red end always points north and the white (or sometimes black) end always points south.

If you mean the geographical North Pole, the needle would point south because that is the only way to get there; more specifically, it would point south along the 112.4 degrees west longitude meridian towards the magnetic north pole at 82 degrees north, where compasses point.

Thus, the correct option is B.

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3. Identify which of the following probably would not have an effect on the climate of a region:

a. the region is next to a mountain range

b. the region is on the equator

c. a thunderstorm just blew through the region

d. the region is next to the Atlantic Ocean

Answers

C.) A thunderstorm
That’s the Answer

if the kinetic energy of a car is doubled then its momentum does not change increases by a factor of

Answers

Doubling the kinetic energy of a car does not change its momentum. Momentum is determined solely by the mass and velocity of the object, independent of its kinetic energy.

Kinetic energy and momentum are two different physical quantities that describe the motion of an object. Kinetic energy depends on the mass and velocity of an object, while momentum depends only on the mass and velocity.

When the kinetic energy of a car is doubled, it means that the car's velocity is increased while its mass remains the same. However, momentum is the product of mass and velocity, so if the mass remains constant, any change in kinetic energy does not directly affect momentum.

Mathematically, the formula for kinetic energy is KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. On the other hand, momentum is given by the formula p = mv, where p represents momentum. As we can see, kinetic energy involves velocity squared, while momentum only involves velocity.

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PLEASE ASAP!!

The picture of the roller coaster shows


A) kinetic energy, because it is in motion.


B) potential energy, because it is not yet moving.


C) kinetic energy that would allow the roller coaster to propel endlessly.


D) potential energy that would allow the roller coaster to propel endlessly.

PLEASE ASAP!!The picture of the roller coaster showsA) kinetic energy, because it is in motion. B) potential

Answers

A)kinetic energy, because it is in motion

 Question

The picture of a coaster shows?

                                                                                                                                   

Answer

The answer is (A) beacuse kinetic energy is a form of energy that an object or particle has by reason of its motion.

Hence, all that Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.

THEREFORE THE ANSWER IS (A). -_-

       

If the distance between two objects is 4.00 m and the distance is tripled, then what is the new distance? 3

Answers

If the distance between two objects is 4.00 m and the distance is tripled, then the new distance will be 12.00 m.

To find out the new distance, you need to multiply the original distance by the factor by which it is tripled, which is 3.In other words, if the distance between two objects is "d", and it is tripled, then the new distance is 3d.

Using this formula, if the original distance is 4.00 m, then the new distance will be 3 x 4.00 m = 12.00 m.

The new distance is three times the original distance.

Therefore, the new distance between the two objects will be 12.00 meters if the original distance was 4.00 meters and it was tripled.

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How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part A?

Answers

An electric fan is turned off, and its angular speed decreases uniformly from 720 rev/min to 200 rev/min in a time interval of period 3.25.

In mechanics, acceleration is the price of trade of the rate of an item with recognition to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the internet force performing on that item.

According to Newton's second regulation of movement, the acceleration of an object equals the internet force performing on it divided via its mass, or a = F m . This equation for acceleration can be used to calculate the acceleration of an object while its mass and the internet force appearing on it are regarded.

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A 0.34kg tennis racket hits a 0.064kg tennis ball with a force of 8.0N forwards. If there was no force resisting the motion of the tennis racket, how fast would the tennis racket accelerate initially?

Answers

Answer:

The acceleration of the tennis racket is \(23.52\ m/s^2\).

Explanation:

Mass of tennis racket is 0.34 kg

Mass of a tennis ball is 0.064 kg

The force acting by the tennis racket by the tennis ball is 8 N. It is required to find the how fast would the tennis racket accelerate initially. Force is given by :

F = ma

\(a=\dfrac{F}{m}\\\\a=\dfrac{8}{0.34}\\\\a=23.52\ m/s^2\)

So, the acceleration of the tennis racket is \(23.52\ m/s^2\).

A lemming running 2.87 m/s runs off a horizontal cliff. It lands in the water 5.32 m from the base of the cliff. What is the lemming's change in height when it reaches the water?
(Unit = m)

Answers

16.77m is the lemming's change in height when it reaches the water.

An example of a projectile

A thing is said to be in projectile motion when it has been fired into the air. After the initial force that launches the object, it only experiences the force of gravity. It is what it is—a projectile—and the path it took to get there is what it was.

You can tell from the situation that this projectile is a Type 1 projectile, or a horizontal projectile. Before you can resolve this issue, you will need a few things.

You must first examine the information you were given:

Vix = 2.87 m/s

dx = 5.32m

Your height or vertical distance are what you need. The following is the usual formula for projectile displacement:

d = Vit +1/2gt²

Specifically, you only need to enter the y-components to obtain the vertical distance. Now keep in mind that a horizontal projectile initially moves only forward and not vertically. Your vi = om/s, leaving you with the following equation:

dy = Viyt + 1/2 gt²

dy = (0m/s)t + 1/2 gt²

dy = 1/2 gt²

However, if you examine your issue, you will discover that no time has been allotted. You can resolve it using the information provided by deriving it from the x component formula:

dx = Vixt

Plug in your knowledge and find a solution for your ignorance.

dx = Vixt

5.32m = (2.87m/s)t

5.32/2.87= t

t = 1.85s

You can solve for your vertical distance/displacement now that you know the time:

dy = 1/2 gt²

dy = 1/2 (9.8 × 1.85²)

dy = 16.77m.

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Answer:

the answer is -16.8

Explanation:

it’s negative because your going down and you have to round off to match the significant digits.

Yvette wants to perform a naturalistic study where she observes people on the subway to see how often they make eye contact with one another. What is MOST likely to make this study difficult to conduct accurately?

A.
There are not enough people who ride the subway on a daily basis.

B.
Researchers will be able to control the setting and all variables involved.

C.
Researchers might interpret the subjects’ movements differently.

D.
This will be a double-blind experiment, so the results will be biased.

Answers

The MOST likely that makes this study difficult to conduct accurately is the fact that researchers might interpret the subjects’ movements differently. Accuracy is fundamental in experimentation.

Accuracy in experimentation

Accuracy in an experiment refers to how close the final result of an experimental procedure is to a value considered as correct or accepted.

For example, accuracy can be how close is a given measurement in an experimental procedure.

Accuracy can be affected by human error (e.g., different persons can exhibit different methodologies to obtain a measurement).

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Answer:

Researchers might interpret the subjects' movements differently.

Explanation:

Did Darwin use a chronometer?

Answers

No, Charles Darwin did not use a chronometer. He used a sextant and other navigational instruments to measure his position while sailing on HMS Beagle.

Navigational Instruments Used by Charles Darwin on HMS Beagle

Charles Darwin was a scientist and naturalist who made significant contributions to our understanding of evolution and the natural world. He is best known for his voyage on HMS Beagle from 1831 to 1836, during which he made observations and collected specimens from around the world. While on the Beagle, Darwin used a variety of navigational instruments to measure his position and observe the stars.

The most important tool that Darwin used was a sextant. This instrument was used to measure angles between two celestial objects, such as the position of the sun or stars. Using this data, navigators could calculate their position on Earth. Darwin also used a chronometer, which is a clock that is accurate even when subjected to the motion of a ship. This allowed him to maintain accurate time and calculate longitude.

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TRUE/FALSE. all galaxies beyond those local to the milky way appear to be receding from us.

Answers

True. This is the observation behind the Hubble's Law which states that the farther a galaxy is from us, the faster it appears to be moving away from us. This observation has led to the idea that the universe is expanding.

If the half-life of tritium (hydrogen-3) is 12.3 years, how much of
a 10 g sample of tritium is present after 250.0 years?

Answers

Answer:

0.0000076 grams

Explanation:

We're given the half life of Tritium to be 12.3 years. In order to find out the amount of substabce remaining:

Let's first find how many 'half lives' are in 250 years.

\(n = \frac{250}{12.3} = 20.325\)

Now what is half life? It means the time taken for a given quantity of an element to lose half it's mass.

So in 12.3 years we can find that The amount of 250 g of Tritium will be 250/2 = 125 g. In 24.6 years we'll have 125/2 = 62.5 g

So now we can devise a formula:

\(m = \frac{original \: amount}{ {2}^{n} } \)

Where m is the remaining amount and n is th number of half lives in the time given.

Using this formula we can calculate:

\(m = \frac{10}{ {2}^{20.325} } \)

Doing this calculation we get:

\(m = 0.0000076 \: g\)

As we can see a very small value remains.

in a lab, a block weighing 80 n is attached to a spring scale, and both are pulled to the right on a horizontal surface, as shown above. friction between the block and the surface is negligible. what is the acceleration of the block when the scale reads 32 n?

Answers

Answer:

4.0 m/s ^2

Explanation:

The acceleration of the block weighing 80 n attached to a spring scale, and both are pulled to the right on a horizontal surface with negligible friction between the block and the surface will be 4 m/s² when it reads 32 n.

What is acceleration?

Acceleration is physical quantity used to express the rate of change in velocity of a moving massive body. Acceleration of an object is directly proportional to the force acting and inversely proportional to the mass.

The equation relating force and acceleration is F = ma. Thus as the mass of the body increases, acceleration decreases and this is called deceleration.

Given that the weight of the body is 80 n. It is the product of mass and gravity of 10 m/s². Thus mass m = 80/10 = 8 kg.

The scale reads a force of 32 Newton for the body weighing 8 Kg. Hence the acceleration can be calculated as follows:

a = F/m

   = 32 N/ 8 Kg

   = 4 m/s².

Therefore, when the acceleration of the body of 8 kg when the scale reading is 32 N is 4 m/s².

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In the absence of air resistance, why does the horizontal component of velocity for a projectile such as a
bullet remain constant while the vertical component changes?

Answers

Explanation:

The vertical velocity changes because gravity is what brings the ball downwards, since gravity is what cause acclereation in free fall, acclereatiin will make the velocity become more negative.

There is no force happening on the ball in the horinzontal direction so according to Newton 1st law, the ball will remain in constant velocity n the horinzotnal direction.

a weightless spring scale is attached to two equal weights as shown below. the reading on the scale will be

Answers

When a weightless spring scale is attached to two equal weights, the reading on the scale will be zero. This is because the weights on both sides are balanced, resulting in no net force acting on the scale.



The reason for this is Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, when one weight exerts a downward force on the spring scale, the other weight exerts an upward force of the same magnitude on the scale.

These opposing forces cancel each other out, resulting in a net force of zero. As a result, the spring scale does not experience any deformation and the reading remains at zero.

It is important to note that this only applies when the two weights are equal. If the weights were different, there would be an imbalance in the forces, causing the spring scale to register a non-zero reading.

In summary, when a weightless spring scale is attached to two equal weights, the reading on the scale will be zero due to the balanced forces acting on it.

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hey besties, im having a mental breakdown on this question. pls help :D
A tennis ball with a speed of 28.4 m/s is
moving perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 26.412 m/s.
If the ball is in contact with the wall for
0.0158 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take “toward the wall” to be the positive
direction.
Answer in units of m/s
2

Answers

With "toward the wall" designated as the positive direction, the average acceleration felt the ball in the 0.0158 s of contact with the wall is

\(a_{\rm ave} = \dfrac{-26.412\frac{\rm m}{\rm s} - 28.4\frac{\rm m}{\rm s}}{0.0158\,\mathrm s} ≈ \boxed{-3470 \dfrac{\rm m}{\mathrm s^2}}\)

Suppose that the separation between speakers A and B is 5.00 m and the speakers are vibrating in phase. They are playing identical 125-Hz tones, and the speed of sound is 343 m/s. What is the largest possible distance between speaker B and the observer at C, such that he observes destructive interference?

Suppose that the separation between speakers A and B is 5.00 m and the speakers are vibrating in phase.

Answers

The largest possible distance between speaker B and the observer at C is 1.37 m.

Largest possible distance between the observer and speaker B

The largest possible distance between speaker B and the observer at C occurs when the difference in travel distances is just one half wavelength.

λ = v/f

λ = (343)/125

λ = 2.744

¹/₂λ = ¹/₂(2.744) = 1.37 m

Thus, the largest possible distance between speaker B and the observer at C is 1.37 m.

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Hello, I am trying to solve this physics question, thanks.

Hello, I am trying to solve this physics question, thanks.

Answers

When they were falling, their acceleration is equal to the gravity acceleration.

When they started stopping, the time required to stop is 1.5 seconds, that is, 3 times less than the time accelerating.

Since the change in velocity when falling and when stopping is the same (same magnitude but opposite signal), the acceleration when stopping will be 3 times more than the acceleration when falling (because the change in velocity is the same and the time is 3 times less).

So we have:

\(\begin{gathered} a=-3g\\ \\ a=-3\cdot(-9.8)\\ \\ a=29.4\text{ m/s^^b2} \end{gathered}\)

Therefore the acceleration is 29.4 m/s².

if potential difference across a lightbulb is 12 V, what amount of charge is required to transfer 60 J of energy to the lightbulb

Answers

60/12=5

Reason: trust

Answer:

Explanation:

Given:

U =12 V

E = 60 J

________

q - ?

E = U·I·t

q = I·t

E = U·q

q = E / U = 60 / 12 = 5 С

The tree branch in the preceding problem sags, and the child's feet rest on the ground. If the tension in the rope is reduced to 220 N, what is the value of the normal force being exerted on the child's feet?

Answers

The complete question is

A 45-kg child sits on a 3.2-kg tire swing. The tension on the rope is 470 N. The tree branch sags and the child's feet rest on the ground. If the tension in the rope is reduced to 220 N, what is the value of the normal force being exerted on the child's feet?

Answer:

Therefore the Normal force is being exerted on the child's feet is 252.36( 250N).

Explanation:

We are given

mass of child = 45kg

mass of the tire = 3.2kg

g = 9.8 m/s^2

We have the first case in which the tire is in swing so tension in that case will be which is the resultant force.

Fr = Resultant force

Ft =  Tension force

Fg= Gravitational force

Fr = Fg + Ft

0 = -mg + Ft

Ft = mg

   = (45+3.2)*9.8

   = 48.2 * 9.8

Ft = 472.36N  ( which is close to 470)

In the second case the child is in the rest position, The resultant force will be zero.

Fr = Ft + Fn + Fg  ( Normal force is denoted by Fn )

0 = Ft + Fn + Fg

Fn =  -Fg -Ft

Fn = mg -Ft

    = 472.36 - 220

Fn  = 252.36N  ( close to 250N)

Therefore the Normal force being exerted on the child's feet will be 252.36N.  

Imagine that you are a skeptic of Alfred Wegener. Write a one-paragraph statement to criticize his work. Your criticism must include challenges about:
Why could the continents NOT possibly move the way Wegener is describing?
How the fossils could naturally be located in the places Wegener found them, without the continents moving.
Why Wegener is not qualified to be proposing theories in the fields of geology and Earth history.

Answers

Inability of Wegener to provide adequate explanation of the forces responsible for continental drift and prevailing belief that the earth was solid and immovable resulted in scientific dismissal of his theories.

Why could the continents not move the way Wegener is describing?

The primary reason that Wegener's hypothesis could not be accepted was because he suggested no mechanism for the moving of continents. He thought that the force of Earth's spin was sufficient enough to cause continents to move, but geologists knew that rocks are too strong for this to be true.

Wegener is not qualified to propose theories in the fields of geology and  history of Earth because there was no mechanism available to endorse his proposals and offer convincing and truthful explanation.

The fossils could naturally be located in the places Wegener found them because fossils are mostly found where sedimentary rocks of the right age are exposed, such as river valleys, cliffs and hillsides.

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A part is specified with a tensile strength minimum only (no maximum specification).


It has a Cp = 1. 2. Please determine the reject rate. RR = _______________


1. A part is specified with a tensile strength 2 sided specifications. Assume process average is centered and two sided specifications. It has a Cpk = 1. 2. Please determine the reject rate. RR = _______________


2. A part is specified with a tensile strength 2 sided specifications.


It has a Cp = 0. 7. Please determine the reject rate. RR = _______________


3. A part is specified with a tensile strength minimum only (no maximum specification).


It has a Cp = 1. Please determine the reject rate. RR = _______________


4. A part is specified with a tensile strength minimum only (no maximum specification). Assume process average is centered and one-sided specifications.


It has a Cpk = 1. 3. Please determine the reject rate. RR = _______________


5. A part is specified with a tensile strength minimum only (no maximum specification).


It has a Cp = 1. 2. Please determine the reject rate. RR = _______________


6. A part is specified with a tensile strength 2 sided specifications. Assume process average is centered and two sided specifications. It has a Cpk = 1. 1. Please determine the reject rate. RR = _______________


7. A part is specified with a tensile strength 2 sided specifications.


It has a Cp = 0. 6. Please determine the reject rate. RR = _______________


8. A part is specified with a tensile strength minimum only (no maximum specification).


It has a Cp = 1. 25. Please determine the reject rate. RR = _______________


9. A part is specified with a tensile strength minimum only (no maximum specification). Assume process average is centered and one-sided specifications.


It has a Cpk = 0. 8. Please determine the reject rate. RR = _______________

Answers

To determine the reject rate (RR) for each scenario, we need to consider the capability indices Cp and Cpk along with the specifications for tensile strength. The reject rate represents the proportion of parts that do not meet the specifications.

1. RR = 0.27%

2. RR = 16.03%

3. RR = 0%

4. RR = 0.003%

5. RR = 0.27%

6. RR = 2.28%

7. RR = 29.93%

8. RR = 0%

9. RR = 5.87%

Please note that these calculations assume a normal distribution of tensile strength and that the process is in statistical control. The reject rate is obtained by evaluating the proportion of values falling outside the specified limits based on the process capability indices Cp and Cpk.

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Carlo and Sara push on a desk in the same direction. Carlo
pushes with a force of 50 N, and Sara pushes with a force of
40 N. What is the total resultant force acting on the desk?

Whats the answer to this question?

Answers

Answer:

90N

Explanation:

The total resultant force acting on the desk being pushed by Sara and Carlo is 90N

A resultant force is a singular force that will act the same effect as the forces acting on a body.

When two or more forces acts on a body in the same direction, their resultant is the sum of the individual forces. If it is in the opposite direction, the differences is the resultant force. The body will move in the direction of the applied force with a higher magnitude

So;

  Resultant force = Force applied by Sara + Force applied by Carlo

  Resultant force  = 50N + 40N  = 90N

how do the sun and moon work together to create a neap tide?

Answers

Answer:

Neap tide, which also occour twice a month. It happens when sun and moon are right angle to each other.

Explanation:

In both cases, the gravitational pull of the sun is addedto the gravational pull of the moon on the Earth.

if a body is in equilibrium , it must satisfy all three laws of equilibrium. True or False?

Answers

If a body is in equilibrium, it must satisfy all three laws of equilibrium. The statement is True.

The three laws of equilibrium are:

The algebraic sum of all the forces acting on a body must be zero.

The algebraic sum of all the moments acting on a body must be zero.

The body must be at rest or moving with constant velocity.

If a body is in equilibrium, it must satisfy all three laws. If it does not satisfy all three laws, then it is not in equilibrium.

For example, if a body is at rest and the algebraic sum of all the forces acting on it is not zero, then it is not in equilibrium. This could be because the body is being acted on by a net force, or because the forces are not balanced.

Similarly, if a body is moving with constant velocity and the algebraic sum of all the moments acting on it is not zero, then it is not in equilibrium. This could be because the body is being acted on by a net torque, or because the moments are not balanced.

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When a light beach ball rolling with a speed of 6.0 m/s collides elastically with a heavy exercise ball at rest, the beach ball's speed after the collision will be, approximately?

Answers

The speed of the beach ball after the collision is approximately 1.2 m/s in the opposite direction of its initial velocity.

After the collision, the momentum of the system is conserved, so the momentum of the beach ball and the exercise ball must be equal and opposite. Using the equation:

\(m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'\)

where\(m_1\)and \(m_2\) are the masses of the beach ball and exercise ball, \(v_1\) and \(v_2\) are their initial velocities, and v1' and \(v_2'\) are their final velocities.

Assuming the beach ball is much lighter than the exercise ball, we can neglect the mass of the beach ball compared to the exercise ball and simplify the equation to:

\(m_1v_1 = m_2v_2\)

where v2' is the final velocity of the exercise ball after the collision.

Since the collision is elastic, the coefficient of restitution (e) is equal to the ratio of the relative velocities of the two balls after the collision to their relative velocities before the collision. In this case, the exercise ball is at rest before the collision, so the coefficient of restitution is equal to the ratio of the final velocity of the beach ball to its initial velocity:

\(e = v_1' / v_1\)

Using the conservation of momentum equation and the equation for the coefficient of restitution, we can solve for v1' to get:

\(v_1' = (m_1 - e * m_2) / (m_1 + m_2) * v_1\)

Plugging in the values given in the problem, we get:

\(v_1'\) = (1 - 1 * 3) / (1 + 3) * 6.0 m/s

\(v_1'\) = -1.2 m/s (Note that the negative sign indicates that the beach ball is moving in the opposite direction after the collision)

Therefore, the speed of the beach ball after the collision is approximately 1.2 m/s in the opposite direction of its initial velocity.

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