A 500g trolley is placed on a runway that is tilted so that it makes an angle of 30° to a horizontal table

Answers

Answer 1

2.4N is the magnitude of the tension T in the string

Define tension force.

It is also possible to refer to tension as the action-reaction pair of forces acting at each end of the aforementioned elements. Tension is defined as the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other comparable three-dimensional object.

When an object is compressed or stretched, spring forces come into play. The degree of compression or stretching has a direct relationship to the force a spring produces. In other words, the force a spring produces increases with the amount it is compressed or stretched.

T=Mgsin30−Ff +mg

T=(0.5)(9.8)sin30−1.5+(0.15)(9.8)

T=2.4 N

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Complete question:

A 500g trolly is placed on a runway that is tilted so that it makes an angle of 30 degrees to a horizontal table.A light inextensible string is attached to 150g mass piece.the trolly accelerates down the slope as a result of the force applied by the hanging mass piece.the frictional force between the trolly and the runway is 1.5N, what is the magnitude of the tension T in the string?


Related Questions

Calculate the angle of incidence of the ray on the flat surface of the block

Calculate the angle of incidence of the ray on the flat surface of the block

Answers

Answer:

The angle of incidence is 39 degrees

Explanation:

We would apply Snell's law which states that the ratio of the angle of incidence to the sine of the angle of refraction is constant. It is expressed as

n1Sinθ1 = n2Sinθ2

Sinθ1/Sinθ2 = n2/n1

where

θ1 is the angle of incidence

θ2 is the angle of refraction

n1 is the refractive index of air

n2 is the refractive index of glass

From the information given,

n1 = 1.6

θ2 = 90

n2 = 1

Thus,

1.6 x Sinθ1 = 1 x Sin90

Sinθ1 = 1Sin90/1.6 = 0.625

θ1 = Sin^-1(0.625)

θ1 = 39 degrees

A student wearing frictionless in-line skates on a horizontal surface is pushed by a friend with a constant force of 50.0 N.
How far must the student be pushed, starting from rest, so that her final kinetic energy is 350 J?

Answers

Answer:

Distance = 7 meters.

Explanation:

Given the following data;

Force = 50N

Kinetic energy = 350J

To find the distance;

We know that energy possessed by an object over a distance represents the work done by the object.

Mathematically, work done is given by the formula;

Workdone = force * distance

Substituting into the formula, we have;

350 = 50 * distance

Distance = 350/50

Distance = 7 meters.

What type of energy is thermal energy? A. Sound energy B. Chemical energy C. Kinetic energy D. Nuclear energy

Answers

Answer:

kinetic energy

Explanation:

A force is applied to a 12 kg box. The force is applied parallel to the motion of the box. Determine the force acting on the box if it moves 22 meters and increases the box’s speed from 10 m/s to 25 m/s.

Answers

Answer:

Force = 143.16 Newton

Explanation:

Given the following data;

Distance, S = 22 m

Initial velocity, U = 10 m/s

Final velocity, V = 25 m/s

Mass = 12 kg

To find the force acting on the box;

First of all, we would determine the acceleration of the box using the third equation of motion;

V² = U² + 2aS

25² = 10² + 2*a*22

625 = 100 + 44a

625 - 100 = 44a

525 = 44a

Acceleration, a = 525/44

Acceleration, a = 11.93 m/s²

Next, we find the force;

Force = mass * acceleration

Force = 12 * 11.93

Force = 143.16 Newton

Where does the energy released in a nuclear decay reaction come from

A. Electrons

B. Chemical bonds

C. Positrons

D. The binding energy of the nucleus

Answers

The answer is positrons

Rubbing sperates the positive and negative charges of objects

true
false

Answers

Answer:

true

Explanation:

hiii please help i’ll give brainliest if you give a correct answer please thanks!

hiii please help ill give brainliest if you give a correct answer please thanks!

Answers

The tension force transmitted through the chains.

Answer:

I would say tension force the last one because the gravitational force brinsg it down more.

Explanation:

Dont mind if its wrong im sorry

n airplane that flies at 100 km/h in a 100 km/h hurricane crosswind (i.e., the wind is blowing perpendicular to the direction the plane is pointing) has a ground speed of:

A) 200 km/h

B) 0 km/h

C) 141 km/h

D) 100km/h

Answers

The ground speed of the airplane is approximately 141 km/h. Option C is the correct answer.

The ground speed of an airplane flying in a crosswind can be determined using vector addition.

The airplane's ground speed is the vector sum of its airspeed (100 km/h) and the velocity of the crosswind (100 km/h). Since the wind is blowing perpendicular to the direction the plane is pointing, we can use the Pythagorean theorem to find the magnitude of the ground speed.

Ground speed = √(airspeed² + crosswind velocity²)

Ground speed = √(100² + 100²)

Ground speed = √(10000 + 10000)

Ground speed = √20000

Ground speed ≈ 141.4 km/h

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suppose that a metal bar 1m long expands 0.5 cm when it is heated. how much would it expand if it were 100 m long?

Answers

When a metal bar 1 m long expands 0.5 cm when heated, a metal bar 100 m long will expand 50 cm.

A metal bar 100 m long would expand 50 cm when heated. This is because the amount of expansion is directly proportional to the length of the metal bar. Thus, if the length of the metal bar is doubled, the amount of expansion will also double.
Therefore, when a metal bar 1 m long expands 0.5 cm when heated, a metal bar 100 m long will expand 50 cm.
To explain further, when a metal bar is heated, its molecules vibrate more rapidly. This causes the metal bar to expand in length, as the increased motion of the molecules pushes them apart. The amount of expansion is directly related to the length of the metal bar. This means that if the length of the metal bar is doubled, the amount of expansion will also double. Therefore, when a metal bar 1 m long expands 0.5 cm when heated, a metal bar 100 m long will expand 50 cm. This is because the expansion is directly proportional to the length of the metal bar.

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Explain Why a description of a position depends on a reference on point.

Answers

Answer:

A description of position depends on a reference point because if the reference point changes than the distance and direction can change. Before the weight was moving two forces were acting on it

Explanation:

i hope this helps:)

<3

How much time did it take to travel 30 meter at 5 meter/second?​

Answers

Answer:

6 seconds

Explanation: If you are traveling at 5 meters/ second then it will take you 6 seconds because 6 x 5 = 30.

one joule of energy used each second is equal to ? of work.

Answers

Exactly, 1 Joule of energy per second is what is used to define a Watt. Joules and seconds, respectively, are the SI units for time and work. A power of 1 Joule per second was used to define a Watt.

A one newton (N) force applied over a one meter distance does one joule's worth of work (or energy) (m).. To put it simply, it requires approximately 1 joule of energy to raise a 3/4 pound weight 1 foot off the ground or to drag something 1 foot using a parallel pulling force of 3/4 pound. According to this definition from physics, 1 volt is the same as 1 joule of electric potential energy divided by 1 coulomb of charge. The power unit is the watt. According to this, 1 joule of labor is completed in 1 second. It is, in essence, the ability of an appliance to use energy at a rate of 1 joule per second.

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what is system? Define​

Answers

Answer:

a system is a set of some things which helps the good happenings in ousr day to day life. It also helps the astrophysisists to find the planets with a system

in an experiment, researchers provided a radiolabeled amino acid to living plant cells. after one hour, the researchers determined the amount of the radiolabeled amino acid that was in each of several subcellular compartments. the results of the experiment are represented in the table. relative amounts of radiolabeled amino acid nucleusmitochondriaendoplasmic reticulumcytosol 2.12.71.91 which of the following conclusions about the radiolabeled amino acid is best supported by the results of the experiment?

Answers

Based on the data, the best-supported conclusion about the radiolabeled amino acid is that it is actively transported and utilized in all subcellular compartments, as it is present in all four compartments.

The provided data indicates the relative amounts of the radiolabeled amino acid found in four subcellular compartments: nucleus, mitochondria, endoplasmic reticulum, and cytosol after one hour.

This suggests that the amino acid is involved in various metabolic processes, such as protein synthesis and energy production, which occur in these compartments.

It is important to note that the data presented only shows relative amounts of the radiolabeled amino acid and not the absolute quantity present in each compartment. Therefore, it is not possible to draw conclusions about the actual concentration or rate of transport of the amino acid in each subcellular compartment.

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Describe how perceptual errors, cognitive biases, or emotions
have negatively affected you in a negotiation. Share at least three
examples (one perceptual error, one cognitive bias, and one
emotional)

Answers

Perceptual errors, cognitive biases, and emotions can indeed have negative effects on negotiations. Here are three examples illustrating each:

1. Perceptual error: One common perceptual error is the halo effect, where an overall impression of a person or situation influences the perception of specific attributes or qualities. In a negotiation, I may have made the mistake of perceiving my counterpart as more competent and trustworthy due to their confident demeanor and well-dressed appearance. This perceptual bias may have led me to underestimate their true intentions or overlook potential risks.

2. Cognitive bias: Confirmation bias is a cognitive bias where we seek and interpret information in a way that confirms our pre-existing beliefs or expectations. During a negotiation, I might have had a confirmation bias that my proposed solution was the best option. As a result, I might have selectively paid attention to information that supported my viewpoint and dismissed or ignored evidence that challenged it. This bias could have hindered open-mindedness and prevented me from considering alternative solutions.

3. Emotion: Emotions play a significant role in negotiations and can impact decision-making. For example, I might have experienced strong frustration during a negotiation due to the slow progress and lack of cooperation from the other party. This emotional response could have impaired my ability to think rationally and objectively, leading to impulsive or aggressive behavior. It might have also hindered effective communication and collaboration, potentially damaging the negotiation process.

In negotiations, it's important to be aware of these potential pitfalls and actively work to mitigate their effects. Developing self-awareness, practicing empathy, seeking diverse perspectives, and employing logical analysis can help counteract the negative impact of perceptual errors, cognitive biases, and emotional responses.

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Does any substance exist that has particles with no motion? Explain your position​

Answers

Answer:

solid

Explanation:

In a solid, particles are packed tightly together so they don't move much. The electrons of each atom are constantly in motion, so the atoms have a small vibration, but they are fixed in their position. Because of this, particles in a solid have very low kinetic energy.

What are the x / y-components? I'd also like a step-by-step explanation please.

What are the x / y-components? I'd also like a step-by-step explanation please.

Answers

The x and y component of the vector are -18.32 m and 3.23 m respectively.

What are the x and y components of the vector?

The x and y component of the vector is calculated by applying the following formula.

Bx = B cosθ

By = B sinθ

where;

B is the magnitude of the vectorBx is the x componentBy is the y componentθ is the angle of the vector measured above x axis

The vector is located in negative x direction but positive y direction.

The angle of the vector from x axis = 90⁰ - 80⁰ = 10⁰

Bx = B cosθ  =  -18.6 m x cos ( 10 ) = -18.32 m

By = B sinθ = 18.6 m x sin ( 10 ) = 3.23 m

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Which statement is supported by the information in the diagram and table below?

Which statement is supported by the information in the diagram and table below?

Answers

Answer:

a

Explanation:

a

The term "Mechanical Energy" represents the sum of potential and kinetic energy. An
object has a mechanical energy of 3200 J and a potential energy of 1260 J. What is the
kinetic energy of the object?

Answers

The kinetic energy is obtained as 1960 J.

What is energy?

The term energy refers to the ability to do work. There are several forms of energy. However, the mechanical energy refers to the energy that is either at rest or in motion.

Now we have the mechanical energy as the sum of the potential and kinetic energy. Thus;

Mechanical energy = 3200 J

Potential energy = 1260 J

Kinetic energy = 3200 J - 1260 J

= 1960 J

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A car is said to go "zero to sixty in six point six
seconds" (0 to 60 mph in 6.6 seconds). What is its
acceleration in m/s??

Answers

60m / 6.6s = 9.09 m/s

Write the relation between mass and weight of a body

Answers

Answer:

\(\text{Weight} = \text{Mass} \times \text{Gravitational acceleration}\)

Explanation:

Would talking to plants positively or negative affect how they grow?

Answers

Answer:

u go to vanguard? in 6th grade

Answer:

is it correct ? sorry of it is incorrec

Would talking to plants positively or negative affect how they grow?

pennies used to be called coppers. how do you suppose they got this nickname?

Answers

Answer:

because pennies are made from copper

Explanation:

which hand is negatively charged?

which hand is negatively charged?

Answers

The second is negatively charged since there are more electrons than protons.
The second hand is negatively charged

Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg Bon the member. 02. 0.4 m 30° 0.4 m F 600 N 30° Q2 (Practice) For the same system of Q2, determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member if the force F angle is 30 above horizontal as shown by the dotted line. 0.4 m 0.4 m

Answers

To determine the horizontal and vertical components of reaction at pin A and the normal force at smooth peg B.

- For pin A, there are two components of reaction: horizontal (Ax) and vertical (Ay).
- For smooth peg B, there is only one force acting on it, which is the normal force (N).

Using trigonometry, we can find the values of Ax, Ay, and N.

For Q1:
- Vertical equilibrium: Ay + 600sin30 = 0
  => Ay = -300 N (upward)
- Horizontal equilibrium: Ax - 600cos30 = 0
  => Ax = 519.6 N (to the left)
- For smooth peg B, N = 600cos30 = 519.6 N (to the right)

For Q2:
- Vertical equilibrium: Ay + 600sin(30+30) = 0
  => Ay = -450 N (upward)
- Horizontal equilibrium: Ax - 600cos(30+30) = 0
  => Ax = 259.8 N (to the right)
- For smooth peg B, N = 600cos(30+30) = 259.8 N (to the right)

Therefore, the horizontal and vertical components of reaction at pin A and the normal force at smooth peg B are:
Q1:
- Ax = 519.6 N (to the left)
- Ay = -300 N (upward)
- N = 519.6 N (to the right)

Q2:
- Ax = 259.8 N (to the right)
- Ay = -450 N (upward)
- N = 259.8 N (to the right)


To determine the horizontal and vertical components of the reaction at pin A and the normal force at the smooth peg B on the member, we'll need to analyze the forces acting on the member.

1. Break down the 600 N force into horizontal and vertical components:
F_horizontal = 600 * cos(30°) = 519.62 N
F_vertical = 600 * sin(30°) = 300 N

2. Analyze forces at pin A (using equilibrium equations):
∑Fx = Ax - F_horizontal = 0
Ax = 519.62 N (horizontal component of reaction at pin A)

∑Fy = Ay - F_vertical = 0
Ay = 300 N (vertical component of reaction at pin A)

3. Analyze forces at peg B (using equilibrium equations):
Moment about pin A:
∑MA = (0.4 * F_vertical) - (0.4 * B) = 0
B = F_vertical = 300 N (normal force at the smooth peg B)

To summarize:
- The horizontal component of reaction at pin A is 519.62 N.
- The vertical component of reaction at pin A is 300 N.
- The normal force at the smooth peg B on the member is 300 N.

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The force that pulls falling objects toward Earth is called *
gravity
free fall
acceleration
air resistance

Answers

Answer:

Gravity

Explanation:

That's easy because gravity is the only thing that can pull us down that hard at that fast without anything helping it.

observe the figure given carefully volume of water in each vessel is shown arrange them in order of decreasing pressure at the base of each vessel explain the reason​

 observe the figure given carefully volume of water in each vessel is shown arrange them in order of

Answers

Answer:

See the explanation below

Explanation:

The pressure is defined as the product of the density of the liquid by the gravitational acceleration by the height, and can be easily calculated by means of the following equation.

 \(P=Ro*g*h\)

where:

Ro = density of the fluid [kg/m³]

g = gravity acceleration = 9.81 [m/s²]

h = elevation [m]

In this way we can understand that the greater pressure is achieved by means of the height of the liquid, that is, as long as the fluid has more height, greater pressure will be achieved at the bottom.

Therefore in order of decreasing will be  

The largest pressure with the largest height of the liquid, container B. The next is obtained with container D, the next with container A and the lowest pressure with container C.  

The pressure decreases as we go from the container B - D - A - C

The half life of
40
K is approximately 1.3 billion years, and it decays to
40
Ar, which is trapped in igneous rocks as
40
K decays. If we find a sample of granite in which the ratio of
40
Ar/
40
K is 3/1, then how old is the sample?

Answers

The half-life of 40K is approximately 1.3 billion years. Given a ratio of 40Ar/40K as 3/1 in a granite sample, we can estimate the age of the sample by understanding the decay process.  Based on the given 40Ar/40K ratio, the age of the sample is approximately 650 million years.

Since the half-life of 40K is 1.3 billion years, this means that after each half-life, half of the 40K atoms will have decayed into 40Ar. Therefore, if the ratio of 40Ar/40K is 3/1, it suggests that three-quarters (or 75%) of the original 40K atoms have decayed into 40Ar.

To determine the age, we can calculate the number of half-lives that have occurred based on the remaining 25% of 40K. Since each half-life is 1.3 billion years, dividing the remaining 25% by 50% (half) gives us 0.5. Thus, the sample has undergone 0.5 half-lives.

Multiplying 0.5 by the half-life of 1.3 billion years gives us an estimated age of 0.65 billion years, or 650 million years, for the granite sample.

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a pressure vessel is protected by a thermal shield. assuming for simplicity pure gamma radiation of 5.0 mev/photon and 1014 photons/cm2-sec flux reaching the shield, calculate: a) the thickness (in inches) of an iron thermal shield that would reduce the above flux by 90%, and (1 point)

Answers

The thickness of an iron thermal shield that would reduce the given gamma radiation flux by 90% is approximately 3.3 inches. The given information includes the radiation energy and flux, and the desired reduction percentage of the shield.

a) To calculate the thickness of the iron thermal shield that would reduce the gamma radiation flux by 90%, we need to use the Beer-Lambert law:

I = I0 * e^(-μx)

where:

I0 is the initial radiation intensity

I is the radiation intensity after passing through a thickness x of shielding material

μ is the linear attenuation coefficient of the shielding material

We want to find x, the thickness of the iron shield. We know the initial radiation intensity I0 = (5.0 MeV/photon) * (1.6 x 10⁻¹³ J/MeV) * (1014 photons/cm²-sec) = 8.0 x 10⁻⁷ J/cm²-sec. We also know that we want to reduce the intensity by a factor of 10, so I = 0.1 I0. We can rearrange the Beer-Lambert law to solve for x:

x = -ln(I/I0) / μ

x = -ln(0.1) / (7.5 ft⁻¹ * 0.3048 m/ft) = 0.145 m = 5.7 inches

Therefore, the thickness of the iron thermal shield that would reduce the gamma radiation flux by 90% is 5.7 inches.

b) To calculate the heat generated in the thermal shield, we need to consider the energy absorbed by the shield due to the gamma radiation. The energy absorbed per unit area per unit time is given by:

Q = μ * I

where Q is the heat generated in J/cm²-sec, μ is the linear attenuation coefficient in cm⁻¹, and I is the initial radiation intensity in photons/cm²-sec. We can convert this to BTU/hr-ft² by using the conversion factor 3.1546 x 10⁻⁸ J/(BTU-hr-ft²):

Q = μ * I * 3.1546 x 10⁻⁸

Q = (7.5 ft⁻¹ * 0.3048 m/ft) * (1014 photons/cm²-sec) * 3.1546 x 10⁻⁸ J/(BTU-hr-ft²) = 0.720 BTU/hr-ft²

Therefore, the heat generated in the thermal shield is 0.720 BTU/hr-ft².

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A pressure vessel is protected by a thermal shield. Assuming for simplicity pure gamma radiation of 5.0 MeV/photon and 1014 photons/cm2-sec flux reaching the shield, calculate: a) the thickness (in inches) of an iron thermal shield that would reduce the above flux by 90%, and (1 point) b) the heat generated in the thermal shield in BTU/hr-ft2 (1 point) Assume the absorption coefficient of the iron to be 7.5ft

A baseball with a mass of 145 g is pitched to a batter. The ball accelerates at 10 m/s?. What is the net force?

Answers

Answer:

1.45 N

Explanation:

Newton's Second Law: F=ma

Convert 145 grams to kilograms

0.145kg*10m/s^2

1.45 N

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