Distance = 750 + 250 = 1000
Displacement (shortest path)=750 - 250 = 500
That's it..
Hope it helps..The drawing shows a 26.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, and , are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.347. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate.
Answer:
(a). The magnitude of the acceleration of the crate is 1.44 m/s².
(b). The direction of the crate is 34.60°.
Explanation:
Given that,
Mass of crate = 26.1 kg
Coefficient of kinetic friction = 0.347
We need to calculate the resultant force
Using figure
\(F'=\sqrt{(F_{x}+F_{z})^2+F_{y}^2}\)
Put the value into the formula
\(F'=\sqrt{(88\cos{55}+54)^2+(88\sin 54)^2}\)
\(F'=126.4\ N\)
(a). We need to calculate the acceleration of the crate
Using formula of sum of force
\(\sum{F}=F'-\mu N\)
\(ma_{total}=F'-\mu mg\)
\(a_{total}=\dfrac{F'}{m}-\mu g\)
Put the value into thr formula
\(a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8\)
\(a_{total}=1.44\ m/s^2\)
(b). We need to calculate the direction
Using formula of the direction
\(\theta=\tan^{-1}(\dfrac{F_{y}}{F_{x}+F_{z}})\)
Put the value into the formula
\(\theta=\tan^{-1}(\dfrac{88\sin55}{88\cos55+54})\)
\(\theta=34.60^{\circ}\)
Hence, (a). The magnitude of the acceleration of the crate is 1.44 m/s².
The direction of the crate is 34.60°.
Write a balanced nuclear reaction for one complete cycle
Answer:
H + H ------> He + energy. He + He -----> H + H + He.
Explanation:
Hydrogen having one proton and no neutron fuse with hydrogen having one proton and one neutron forming helium atom with the release of photon. After that two helium atoms combine together forming two hydrogen atoms having one proton each whereas one helium atom having two protons and two neutrons present in their nucleus so the end product of this reaction is hydrogen atoms and helium.
Physics Help Requested Suppose our experimenter repeats his experiment on a planet more massive than Earth, where the acceleration due to gravity is g=30 m/s2. When he releases the ball from chin height without giving it a push, how will the ball's behavior differ from its behavior on Earth? Ignore friction and air resistance. (Select all that apply.)a. It will take more time to return to the point from which it was released.b. It will smash his face. Its mass will be greater.c. It will take less time to return to the point from which it was released. d, It will stop well short of his face.
On a planet with more massive gravity, such as \(g = 30 \ m/s^2\), the ball released from chin height will take less time to return to the point from which it was released, due to the increased acceleration due to gravity.
It will take less time to return to the point from which it was released. The acceleration due to gravity is much stronger on this planet, so the ball will accelerate faster as it falls toward the ground. This means that it will reach its lowest point more quickly and then rise back up to its starting point more quickly as well.
Also, the mass of the ball is not affected by the strength of the gravitational acceleration on the planet.
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An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws the rock straight up with a velocity of + 15 m/s and measures a time of 20.0 seconds before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet?
The acceleration of the rock thrown with the velocity of 15 m/s and taking 20 seconds to come back is 2.97 \(m/s^2\), and the direction of acceleration is downward.
What is Velocity?When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time. When time is constant, speed and distance are directly proportional, when the distance is constant,
Given:
The velocity of the rock, v = 15 m/s,
The time taken to go and return t = 20 seconds,
Now, calculate the distance traveled by the rock,
d = v/t
d = 15/10 (Time taken to go upward is half of the total time)
d = 1.5 meters
So, calculate the acceleration by the second equation of motion,
\(s = vt + 1/2at^2\)
Substitute the values,
\(1.5 = 15*10 + 1/2 * a * 10^2\)
\(a = -2.97 \ m/s^2\)
Therefore, the acceleration of the rock thrown with the velocity of 15 m/s and taking 20 seconds to come back is 2.97 \(m/s^2\) And the direction of acceleration is downward.
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A small object is dropped through a loop of wire connected to a sensitive ammeter on the edge of a table, as shown in the diagram below. A reading on the ammeter is most likely produced when the object falling through the loop of wire is a
If a small object is dropped through a loop of wire connected to a sensitive ammeter on the edge of a table, a reading on the ammeter is most likely produced when the object falling through the loop of wire is magnetic.
When an object passes through a loop of wire, a current is generated, which can be detected by a sensitive ammeter. This is referred to as electromagnetic induction. The size of the current generated is dependent on a variety of factors, including the speed of the object as it passes through the loop, the size of the loop, the magnetic properties of the object, and the number of turns in the loop.
If the small object being dropped through the loop of wire is non-magnetic, then the ammeter is unlikely to register a reading. This is because non-magnetic objects do not produce an electromagnetic field as they pass through the wire loop. Therefore, the ammeter would not detect any current being generated.
On the other hand, if the small object is magnetic, such as a small magnet, then a current would be generated as it passes through the loop of wire. This is because the magnetic field of the object would interact with the magnetic field generated by the wire loop, producing an electric current. This current would be detected by the ammeter as a reading.
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according to our modern understanding, what is a nova?
A nova is a transient astronomical event that causes the sudden appearance of a bright, apparently "new" star, that slowly fades over several weeks or many months. Causes of the dramatic appearance of a nova vary, depending on the circumstances of the two progenitor stars
what is the acceleration of an object that entered of a force 200 N if the object mass was 100 kg?
Answer:
The answer is 2 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
where
f is the force
m is the mass
From the question we have
\(a = \frac{200}{100} \\ \)
We have the final answer as
2 m/s²Hope this helps you
Most consumers first spend their disposable income on what
Answer:
They first spend it on necessities.
When the wedges are removed, the cars will move. Predict which direction they will move and when they will stop
Answer: hello your question lacks the required diagram attached below is the required diagram
answer : Both cars will move backwards and stop due to friction.
Explanation:
Given that both cars are negatively charged, When the wedges are removed both cars will move backwards ( repelling each other ) because they are like poles, and Like poles repel each other. while unlike poles attract each other ( forward movement ) .
The cars will later come to a stop due to frictional forces between the cars and the surface.
The air in a tire pump has a volume of 1.5 L at a temperature of 5 ℃. If the temperature is increased to 25 ℃ and the pressure remains constant, what is the new volume of the tire pump
Answer:
Explanation:
5 C = 278 K
25 C = 298 K
V1 / T1 = V2 / T2
1.5L / 278 K = V2 / 298 K
V2 = (1.5L * 298) / 278
V2 = 1.61 L
what did taking measurements reveal about the velocity of the fireball? Was the fireball’s velocity constant or changing?
Answer:
The fireball slows down when moving upward. It speeds up when moving downward. So, its velocity is always changing.
Answer:
The fireball went in the air and slowed down. This is because, the gravity holds us down on earth and if not, we would be floating everywhere. So, the fireball slows down because the gravity is pulling it back down. As well as it's going down, it becomes faster. Just like when we jump, we come down pretty fast. So, when the gravity pulls you down and you go down it starts to pick up speed. Thats just how gravity works.
Explanation:
I put this in my own words.
I hope this helps anyone that needs it! :)
What is the crossover point in miles between the hybrid vehicle and the alternative vehicle from a competing auto manufacturer? Hybrid Vehicle Vehicle Purchase Cost $18 comma 000 Vehicle Operating Cost per Mile $0. 14 Useful Life of Vehicle 14 years Miles per Year 16 comma 500 Miles per Gallon 33 Average Fuel Price per Gallon $3. 68 Alternative Vehicle Vehicle Purchase Cost $20 comma 000 Vehicle Operating Cost per Mile $0. 10 Useful Life of Vehicle 14 years Miles per Year 16 comma 500 Miles per Gallon 36 Average Fuel Price per Gallon $3. 68 The crossover point, M, is nothing miles (round your response to the nearest whole number)
The crossover point is 56,000 miles, rounded to the closest whole number. The total cost of owning the hybrid vehicle and the alternative vehicle is the same at this point.
The formula for the total cost is :
Total Cost = Vehicle Purchase Cost + (Operating Cost per Mile x Miles per Year x Useful Life of Vehicle)/Miles per Gallon x Average Fuel Price per Gallon
For the hybrid vehicle:
Total Cost = $18,000 + ($0.14 x 16,500 x 14)/33 x $3.68 = $47,672.03
For the alternative vehicle:
Total Cost = $20,000 + ($0.10 x 16,500 x 14)/36 x $3.68 = $47,672.22
Solving these two equations for M gives :
$18,000 + ($0.14 x 16,500 x 14)/33 x $3.68 = $20,000 + ($0.10 x 16,500 x 14)/36 x $3.68
M = 55998
If the vehicle's expected mileage exceeds 56,000 miles, the alternative vehicle becomes more cost-effective; if it falls below 56,000 miles, the hybrid vehicle becomes more cost-effective.
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HUUUUURRRRRYYYYY
Latent heat of fusion refers to which changes of state?
liquid to solid or solid to gas
solid to gas or gas to liquid
solid to liquid or liquid to solid
gas to liquid or liquid to gas
Answer:
solid to gas or gas to liquid
Explanation:
welcome
Answer:
solid to gas or gas to liquid
Explanation:
Edge
Emma is making jelly. In order to make it dissolve quickly, should Emma put the block of jelly in whole, or
break it into cubes? Explain your answer.
[2 marks]
Answer:
Break it into cubes. When you make the thing that is dissolving smaller, the surface area of the thing dissolving it is larger, making the jelly more exposed.
An object dropped from rest, what will its velocity be after 30 s?
An object dropped from rest, its velocity be 294 m/s in downward direction after 30 s .
Kinematics is the study of the motion of mechanical points, bodies and systems without consideration of their associated physical properties and the forces acting on them.
initial velocity = u = 0
time = t = 30sec
g = acceleration due to gravity = 9.8 \(m/s^{2}\)
using equation of kinematics
v = u - g*t
v = 0 - 9.8 * 30
v = - 294 m/s
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determine the electric potential magnitude at a point located 0.122 nm from a proton.
To determine the electric potential magnitude at a point located 0.122 nm from a proton, we need to use the equation for electric potential: V = kq/r. Where V is the electric potential, k is Coulomb's constant (9 × 10^9 N m^2/C^2), q is the charge of the proton (+1.602 × 10^-19 C), and r is the distance from the proton (0.122 × 10^-9 m).
Plugging in these values, we get:
V = (9 × 10^9 N m^2/C^2) × (+1.602 × 10^-19 C) / (0.122 × 10^-9 m)
V = 2.32 × 10^-8 V
Therefore, the electric potential magnitude at a point located 0.122 nm from a proton is 2.32 × 10^-8 volts.
To determine the electric potential magnitude at a point located 0.122 nm from a proton, you'll need to use the electric potential formula:
V = (k * q) / r
Where:
- V is the electric potential magnitude
- k is the electrostatic constant, approximately 8.99 × 10^9 N m^2/C^2
- q is the charge of the proton, approximately 1.6 × 10^-19 C
- r is the distance from the proton, which is 0.122 nm or 0.122 × 10^-9 m
Now, substitute the values into the formula:
V = (8.99 × 10^9 N m^2/C^2 * 1.6 × 10^-19 C) / (0.122 × 10^-9 m)
V ≈ 1.175 × 10^2 V
So, the electric potential magnitude at a point located 0.122 nm from a proton is approximately 117.5 V.
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for series circuits, you saw that the current was the same through every element. use your rule for current in parallel to explain why this would happen.
According to the rule for current in parallel circuits, the current through each branch of the circuit is determined by the resistance of that branch and the total voltage applied to the circuit. In a series circuit, there is only one path for the current to flow, so the same current flows through every element.
In a parallel circuit, on the other hand, there are multiple paths for the current to flow, and the current through each branch is determined by the resistance of that branch and the total voltage applied to the circuit. Because the voltage is the same across each branch of a parallel circuit, the current through each branch will depend only on the resistance of that branch. Therefore, the current through each branch can be different in a parallel circuit. In contrast, because there is only one path for the current to flow in a series circuit, the same current flows through every element.
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1. A block of wood has a volume of 20cm³
and a mass of 180g.
a) Calculate the density of the block of wood. (Show all steps).
Formula:
Density = ___
Answer:
Explanation: a people's whole way of life
Explain what role does capitalism and patriarchy play in American beauty? What images
projected in today's media are a result of gender inequality, what message do the images
send to young people? Explain in at least two paragraphs.
In the film American Beauty, capitalism and patriarchy negatively impact the characters, especially the main character, Lester Burnham. Similarly, today's media perpetuates harmful gender stereotypes and sends negative messages to young people about their roles and expectations in society.
The film American Beauty explores the negative impact of capitalism and patriarchy on its characters, especially the main character Lester Burnham. Lester, who is stuck in his corporate job and loveless marriage, tries to reject the values of capitalism and patriarchy, but his attempts lead to his downfall. The film depicts how these systems can restrict individuals and lead to feelings of entrapment, dissatisfaction, and despair.
Today's media continues to project images that reinforce gender inequality and promote harmful stereotypes. Women are often portrayed as sexual objects for male consumption, while men are portrayed as dominant and aggressive. These images send harmful messages to young people about their roles and expectations in society. Young people may internalize these messages and believe that certain behaviors or attitudes are acceptable or expected based on their gender. This perpetuates gender inequality and reinforces harmful gender norms and stereotypes. Media creators should consider the impact of their images on young people and work towards promoting positive and diverse representations of gender in media.
Therefore, Capitalism and patriarchy have a bad effect on the characters in the movie American Beauty, particularly the lead character Lester Burnham. Similarly to this, the media of today reinforces damaging gender stereotypes and conveys to young people unfavorable messages about their social duties and expectations.
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You come out of a shopping mall one night and look at your car. Your car is painted blue, and the light illuminating the car is yellow. What color does your car appear to you in the yellow light?
Given 1 inch ≡ 2.54 cm and 1 foot ≡
12 inches, how many square centimeters are
in 3.22 ft2
?
Answer:
2991.47 [cm^2]
Explanation:
To solve this problem we must perform a dimensional analysis and use the corresponding conversion values:
\(3.22[ft^{2}]*\frac{12^{2}in^{2} }{1^{2}ft^{2}} *\frac{2.54^{2}cm^{2} }{1^{2}in^{2} } \\2991.47[cm^{2}]\)
please convert 3mm to m
Answer:
Below
Explanation:
To convert mm to m all you need to do is divide the value by 1,000
so : 3 / 1,000 = 0.003 meters
Hope this helped!
How is displacement used in the sport jokgu?
Jogku is a Korean sport similar to Volleyball and Football.
It is played between two teams, the objective is to return the ball to the opponent using only their feet or shin.
Displacement is the change of position of an object, it can be positive or negative depending on the starting point and the direction.
D= d2-d1
Where:
D= displacement
d2= final position
d1= initial position
The ball has displacement, and moves in 2 dimensions, both up and forward. influenced by gravity. This is called Projectile motion.
Displacement is used to determine the change of position of the ball.
the circuit directory gives the " " in a wording that would be clear for "nonelectrical" people to decipher and identify the circuit number for luminaires, receptacles, appliances, or equipment.
The circuit directory shows the load/area in a vocabulary that would be clear for "nonelectrical" people to decipher and determine the circuit number for luminaires, receptacles, appliances, or tools.
What is load divided by area?True stress is the spread load divided by the actual cross-sectional scope of material. Engineering strain is the applied load separated by the original cross-sectional area of material. Also known as nominal stress.
What is area in stress formula?As expected by the units, stress is assigned by dividing the force by the location of its generation, and since this area (“A”) is either sectional or axial, the basic stress formula is “σ = F/A”.
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Short Answer
(a) Show that a polynomial of degree 3 has at most three real roots. (b) Show that a polynomial of degree n has at most n real roots.
A polynomial of degree 3 has at most three real roots, and a polynomial of degree n has at most n real roots.
(a) To show that a polynomial of degree 3 has at most three real roots, we can use the Fundamental Theorem of Algebra. According to this theorem, a polynomial of degree n has exactly n complex roots, counting multiplicity. Since we're dealing with a degree 3 polynomial, it can have at most three distinct complex roots.
Now, if all the roots of the polynomial are real, then we have exactly three real roots. However, if there are complex roots, they come in conjugate pairs. In other words, if a + bi is a root, where a and b are real numbers and i is the imaginary unit, then its conjugate a - bi is also a root. Since the degree 3 polynomial can have at most three distinct complex roots, this implies that it can have at most three real roots as well.
Therefore, we have shown that a polynomial of degree 3 has at most three real roots.
(b) To show that a polynomial of degree n has at most n real roots, we can use the same reasoning as in part (a) but generalize it for any degree n. According to the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n complex roots, counting multiplicity.
Similar to part (a), if all the roots are real, then we have n real roots. If there are complex roots, they also come in conjugate pairs, meaning that each complex root has a conjugate that is also a root. Since the degree n polynomial can have at most n distinct complex roots, this implies that it can have at most n real roots as well.
Therefore, we have shown that a polynomial of degree n has at most n real roots.
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calculate the heat of reaction at constantn pressure when 150ml of .5m hcl is mixed with 250ml of .2 ba(oh)2. the reactino takes place ina calorimeter and the heat capacity of the caloritem
The heat of reaction at constant pressure is -5.90 kJ.
What is heat of reaction?
The heat of reaction, also known as the enthalpy of reaction or heat change of a reaction, refers to the amount of heat energy exchanged or transferred during a chemical reaction. It represents the difference in the enthalpy (heat content) of the reactants and products.
During a chemical reaction, bonds are broken in the reactant molecules, and new bonds are formed in the product molecules. This process involves the absorption or release of energy in the form of heat. The heat of reaction quantifies the net heat change that occurs during this chemical transformation.
To calculate the heat of reaction, we can use the concept of stoichiometry and the given enthalpy change (\Delta H) for the reaction.
First, we need to determine the moles of each reactant involved in the reaction. Using the given volumes and concentrations, we can calculate the moles of HCl and Ba(OH)₂.
For HCl:
Volume = 150.0 mL = 0.1500 L
Concentration = 0.500 M
Moles of HCl = Concentration x Volume = 0.500 M x 0.1500 L = 0.0750 moles
For Ba(OH)₂:
Volume = 250.0 mL = 0.2500 L
Concentration = 0.200 M
Moles of Ba(OH)₂ = Concentration x Volume = 0.200 M x 0.2500 L = 0.0500 moles
Next, we need to determine the limiting reactant, which is the reactant that is completely consumed in the reaction. In this case, Ba(OH)₂ is the limiting reactant because it has fewer moles.
From the balanced chemical equation, we can see that the stoichiometric ratio between HCl and Ba(OH)₂ is 2:1. This means that for every 2 moles of HCl reacted, 1 mole of Ba(OH)₂ is consumed.
Since Ba(OH)₂ is the limiting reactant, we can calculate the moles of HCl reacted by multiplying the moles of Ba(OH)2 by the stoichiometric ratio: Moles of HCl reacted = 0.0500 moles x (2 moles HCl / 1 mole Ba(OH)₂) = 0.1000 moles
Finally, we can calculate the heat of reaction using the formula: Heat of reaction = (\Delta H) / moles of HCl reacted
Substituting the values: Heat of reaction = (-118 kJ) / 0.1000 moles = -5.90 kJ
Therefore, the heat of reaction at constant pressure is -5.90 kJ. The negative sign indicates that the reaction is exothermic, meaning it releases heat to the surroundings.
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Consider the following reaction:
2HCl (aq) + Ba(OH)2 (aq) --> BaCl2 (aq) + 2H2O (l)\Delta H= -118kJ
a) Calculate the heat of reaction at constant pressure when 150.0mL of 0.500 M HCl is mixed with 250.0mL of 0.200 M Ba(OH)2
As distance increases, gravitational force________
Answer:
Decreases
Explanation:
Answer:
Decreases
ExplanatIon:
What is the speed of an electron when its kinetic energy is equal to 8 times its rest energy?
The speed of an electron when its kinetic energy is 8 times its rest energy is approximately 0.93c, or 93% of the speed of light.
The kinetic energy of an object is given by 1/2mv^2, where m is the mass of the object and v is its velocity. The rest energy of an electron is approximately 0.511 MeV/c^2. Thus, when the kinetic energy of the electron is 8 times its rest energy, we have:
1/2mv^2 = 8(0.511 MeV/c^2)
Solving for v, we get:
v = sqrt[(2*8*0.511 MeV/c^2)/m]
The mass of an electron is approximately 9.11 x 10^-31 kg. Plugging in the values, we get:
v = sqrt[(8.176 MeV)/9.11 x 10^-31 kg]
v ≈ 2.79 x 10^8 m/s = 0.93c
Therefore, the speed of the electron is approximately 93% of the speed of light, or 0.93c.
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PLEASE HELP ME!
Live Worksheet: Heating and Cooling curves.
really need help! I Don’t understand!! :(
If you don’t mind please explain me the answers :)
GIVING 20-30 POINTS!!
Heating and cooling curves depict temperature variations during the heating or cooling of a substance. In a heating curve, the substance undergoes a phase change while the temperature remains constant. This occurs as the substance absorbs heat, transitioning between states (solid to liquid or liquid to gas). Subsequently, the temperature resumes an upward trend as the added heat affects the substance's temperature directly. Conversely, cooling curves exhibit a reversed pattern. The substance begins at a higher temperature, gradually cooling down. Initially, the temperature remains constant as the substance releases heat, undergoing a phase change (e.g., gas to liquid or liquid to solid). After the completion of the phase change, temperature continues to decrease.
By examining heating and cooling curves, we gain valuable insights about energy requirements for phase changes and the specific heat capacity of substances. This knowledge enhances our comprehension of substance behavior throughout heating and cooling processes.
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Which of the following is a muscle on the front side of the upper body?
Answer:
What are the following?
Explanation: