The length of X components is 3,708 and Y component is 11,412
How to calculate X and Y components of the vector?Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cos and the y-component will always be sin.
A vector's rectangular component Ax, Ay, and Az, respectively, are the projections of vector A along the x, y, and z directions. Space coordinates of a point: The triplet (x, y, z) denotes a point's coordinates.
Given ,
x-component
= 12 * cos 72
= 12 * 0,3090
= 3,708
y component
= 12 . sin 75
= 12 . 0,9510
= 11,412
Therefore The length of X components is 3,708 and Y component is 11,412
The complete question is : What are the lengths of the x and y components of this vector?
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A block has a mass of 7 kg and on a surface with mhu= .7. Explain with forces, and prove mathematically, how the three situations could occur. A. The block is speeding up B. The block is slowing down C. The block is moving at a constant speed
ANSWER:
A. F > 48.02 N
B. F < 48.02 N
C. F = 48.02 N
STEP-BY-STEP EXPLANATION:
Given:
Mass (m) = 7 kg
µ = 0.7
Balancing horizontal forces:
\(\begin{gathered} F=\mu N+ma\rightarrow F=\mu\cdot m\cdot g+ma \\ \text{ We replacing} \\ F=0.7\cdot7\cdot9.8+7a \\ F=48.02+7a \\ a=\frac{F-48.02}{7} \end{gathered}\)A. The block is speeding up
It means the block is having a positive value of acceleration:
\(\begin{gathered} a>0 \\ \frac{F-48.02}{7}>0 \\ F>48.02\text{ N} \end{gathered}\)B. The block is slowing down
\(\begin{gathered} a<0 \\ \frac{F-48.02}{7}<0 \\ F<48.02\text{ N} \end{gathered}\)C. The block is moving at a constant speed
\(\begin{gathered} a=0 \\ \frac{F-48.02}{7}=0 \\ F=48.02\text{ N} \end{gathered}\)In the diagram, the distance OP is the focal length of the converging lens. One ray of light from O
is shown.
Through which point will this ray pass, after refraction by the lens?
The point through which this ray will pass, after refraction by the lens is point D.
What is refraction of light?The refraction of light refers to the bending or change in direction that occurs when light passes from one medium to another. It is a phenomenon that happens due to the difference in the speed of light in different substances.
From the ray diagram given, after the light incident from point O, it will pass the converging at point D which is the focal length of the lens after refraction.
Thus, based on the converging lens given in the ray diagram, we can conclude that, the point through which this ray will pass, after refraction by the lens is point D.
So point D is the correct answer.
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How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
Calculate the absolute pressure at an ocean depth of 1.0 x 10³ m. Assume that the density of the water is 1.025 x 10³ kg/m³ and that Po = 1.01 x 10^5 Pa.
The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.
What is hydrostatic pressure?Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.
The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:
P = ρgh + Po
where:
P is the absolute pressure at the given depth
ρ is the density of the water
g is the acceleration due to gravity (assumed to be 9.81 m/s²)
h is the depth of the ocean
Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)
Substituting the given values, we get:
P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa
P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa
P = 1.002 x 10^8 Pa.
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A mass of (200 g) of hot water at (75.0°C) is mixed with cold water of mass M at (5.0°C). The final temperature of the mixture is (25.0°C). What is the mass of the cold water (M)?
The mass of the cold water, given the data from the question is 500 g
Data obtained from the questionMass of warm water (Mᵥᵥ) = 200 gTemperature warm water (Tᵥᵥ) = 75 °CTemperature of cold water (T꜀) = 5 °C Equilibrium temperature (Tₑ) = 25 °CSpecific heat capacity of the water = 4.184 J/gºC Mass of cold water (M꜀) =?How to determine the mass of the cold waterHeat loss = Heat gain
MᵥᵥC(Tᵥᵥ – Tₑ) = M꜀C(Tₑ – T꜀)
200 × 4.184 (75 – 25) = M꜀ × 4.184(25 – 5)
41840 = M꜀ × 83.68
Divide both side 83.68
M꜀ = 41840 / 83.68
M꜀ = 500 g
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The center of a 1500 kg kg satellite is 9.9 ×10^6 m from Earth’s center. What is the gravitational force between the satellite and Earth?
Answer:
the substitute bride is a good girl who knows
An athlete completes 1 laps around a track with a radius of 25 meters in 180 seconds. What is the magnitude of the athlete's tangential velocity?
Answer:
0.872m/s
Explanation:
Tangential velocity is given by the formula,
\(v= 2\pi r/ t\)
In the question given,
radius= 25meters
time= 180secs
pie= 3.14
number of laps= 1
The magnitude of tangential velocity equals;
\(\frac{1lap* 2 *3.14 *25m}{180secs}\)
v = 157m/180secs
Therefore, the magnitude of the tangential velocity
=0.872m/secs
At the top of a flight of stairs, a woman is 16m above the ground and has 9094J of potential energy. What is the mass of the woman?
Answer:
Mass = 56.83 Kg
Explanation:
\(PE = mgh\\9094 J = 16m*10 m/s^2*mass\\mass = \frac{PE}{g*h} \\mass = \frac{9094 J}{16*10} = 56.83 kg\)
If the cell is 1.5V & there are 4 cells - what is the total potential difference (in volts) of the circuit?
If the cells are in parallel, they form a battery of 1.5V with the ability to deliver 4 times as much current as one cell can.
If the cells are in series, they form a battery of 6.0V.
1. What were enron failure issue ? What were corporate Governance isues in Enron.
The Enron scandal drew attention to accounting and corporate fraud as its shareholders lost $74 billion in the four years leading up to its bankruptcy, and its employees lost billions in pension benefits.
What were Enron failure issue ?Enron's Board of Directors failed to fulfil its fiduciary duties towards the corporation's shareholders. Secondly, the top executives of Enron were greedy and acted in their own self-interest.
Enron's downfall was attributed to its reckless use of derivatives and special purpose entities. By hedging its risks with special purpose entities which it owned, Enron retained the risks associated with the transactions. This arrangement had Enron implementing hedges with itself.
Enron raised fundamental issues about corporate fraud, accounting transparency, and investor protection.
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Cart 1 is stationary and has the same mass of cart 2 which collides with cart 1 at a speed of 10 m/s. They do not stick together. Cart 2's velocity after the collision is
a. 5 m/s
b. 20 m/s
c. 0.0 m/s
d. 10 m/s
What are the applications used for the flywheel ?
Answer:
Applications of Flywheels
in wind turbines.
along with motor driven generator to store energy.
in automobile engines.
in electric cars to boost speed (in experimental stage)
In advanced locomotive propulsion systems.
In advanced technology transit buses.
In satellites to control direction.
A toy car rolls down a ramp, even absence of non-conservative forces, it's
not possible for all of it's potential energy to convert into kinetic energy.
What is moving, within the car-system itself, that is also gaining energy
in order for this part of the car to move? How is this responsible for
consuming some of the mechanical energy?
Answer:
Hello i hope this helps you! Potential and Kinetic EnergyHold the car at the top of the ramp, and release to demonstrate the two main kinds of energy. Potential energy is placed into the car when it's lifted from the floor, and that energy is released as the car rolls down the ramp.
Explanation:
hope this helps
3) An explorer walks 13 km due east, then 18 km north, and finally 3 km west.
a) What is the total distance walked?
b) What is the resulting displacement of the explorer from the starting point?
Answer: 34 km, 21 km 61 degrees north of east
Explanation: distance = 13 + 3 + 18 = 34
displacement = 13 - 3 = 10
10^2 + 18^2 = 424
find the square root of 424 ( 20.5 rounded to 21 )
The total distance walked is 34 km and the resulting displacement is 20.6 km.
a) The total distance is gotten by summing up all the distance.
Total distance = Distance moved east + distance moved north + distance moved west
Total distance = 13 km + 18 km + 3 km = 34 km
b) The displacement is the distance from the beginning point to end point.
Displacement² = 18² + (13 - 3)² = 18² + 10²
Displacement² = 424
Displacement = 20.6 km
Therefore the total distance walked is 34 km and the resulting displacement is 20.6 km.
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The weight of an object can be determined by multiplying the mass of the object by which of the following?
A the object's velocity
B the object's size
C the object's change in speed
D the object's acceleration due to gravity
Answer:
A, the objects velocity
Explanation:
1.5 kg of air within a piston-cylinder assembly executes a Carnot power cycle with maximum and minimum temperatures of 800 K and 300 K, respectively. The heat transfer from the air during the isothermal compression is 80 kJ. At the end of the isothermal compression, the volume is 0.2 m3. Determine the volume at the beginning of the isothermal compression, in m3. Assume the ideal gas model for air and neglect kinetic and potential energy effects.
Answer:
Explanation:
Carton cycle consists of four thermodynamic processes . The first is isothermal expansion at higher temperature , then adiabatic expansion which lowers the temperature of gas . The third process is isothermal compression at lower temperature and the last process is adiabatic compression which increases the temperature of the gas to its original temperature .
So the given process of isothermal compression must have been done at the temperature of 300K , keeping the temperature constant .
Work done on gas at isothermal compression is equal to heat transfer .
work done on gas = 80 x 10³ J
work done on gas = n RT ln v₁ / v₂
n is number of moles v₁ and v₂ are initial and final volume
molecular weight of gas = 28.97 g
1.5 kg = 1500 / 28.97 moles
= 51.77 moles
work done on gas = n RT ln v₁ / v₂
Putting the values in the equation above
80 x 10³ = 51.78 x 8.31 x 300 x ln v₁ / .2
ln v₁ / .2 = .62
v₁ / .2 = 1.8589
v₁ = 0.37 m³
Two masses of 3 kg and 5 kg are connected by a light string that passes over a smooth polley as shown in the Figure.
QL
Determine:
i. the tension in the string,
ii. the acceleration of each mass, and
iii. the distance each mass moves in the first second of motion if they start from rest
i. \(T = 36.8\:\text{N}\)
ii. \(a = 2.45\:\text{m/s}^2\)
iii. \(x = 1.23\:\text{m}\)
Explanation:
Let's write Newton's 2nd law for each object. We will use the sign convention assigned for each as indicated in the figure. Let T be the tension on the string and assume that the string is inextensible so that the two tensions on the strings are equal. Also, let a be the acceleration of the two masses. And \(m_1 = 3\:\text{kg}\) and \(m_2 = 5\:\text{kg}\)
Forces acting on m1:
\(T - m_1g = m_1a\:\:\:\:\:\:\:(1)\)
Forces acting on m2:
\(m_2g - T = m_2a\:\:\:\:\:\:\:(2)\)
Combining Eqn(1) and Eqn(2) together, the tensions will cancel out, giving us
\(m_2g - m_1g = m_2a + m_1a\)
or
\((m_2 - m_1)g = (m2 + m_1)a\)
Solving for a,
\(a = \left(\dfrac{m_2 - m_1}{m_2 + m_1}\right)g\)
\(\:\:\:\:= \left(\dfrac{5\:\text{kg} - 3\:\text{kg}}{5\:\text{kg} + 3\:\text{kg}}\right)(9.8\:\text{m/s}^2)\)
\(\:\:\:\:= 2.45\:\text{m/s}^2\)
We can solve for the tension by using this value of acceleration on either Eqn(1) or Eqn(2). Let's use Eqn(1).
\(T - (3\:\text{kg})(9.8\:\text{m/s}^2) = (3\:\text{kg})(2.45\:\text{m/s}^2)\)
\(T = (3\:\text{kg})(9.8\:\text{m/s}^2) + (3\:\text{kg})(2.45\:\text{m/s}^2)\)
\(\:\:\:\:= 29.4\:\text{m/s}^2 + 7.35\:\text{m/s}^2 = 36.8\:\text{N}\)
Assuming that the two objects start from rest, the distance that they travel after one second is given by
\(x = \frac{1}{2}at^2 = \frac{1}{2}(2.45\:\text{m/s}^2)(1\:\text{s})^2 = 1.23\:\text{m}\)
The questions are in the pictures
A ladder is leaned against a wall. The wall has friction but the floor is frictionless. It should be noted that the ladder cannot be in static equilibrium
How to explain the equilibriumIn order for the ladder to be in static equilibrium, the net force acting on it must be zero. However, in this case, there will be a horizontal force exerted by the wall on the ladder due to friction, which will create a torque about the base of the ladder.
When a ladder is leaned against a wall, it exerts a force on the wall called the normal force, which is perpendicular to the surface of the wall. In order for the ladder to be in equilibrium, the normal force must balance the weight of the ladder and any objects on it. This torque will cause the ladder to rotate and hence, it cannot be in static equilibrium.
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một vật dao động trong 10 phút thực hiện 500 dao động tính chu kì và tần số dao động
Answer:
Explanation:
T = 10(60)/500 = 1.2 s
f = 1/T = 0.83 Hz
This mathematical model describes the changes that occur in a sample of
water as its temperature increases. Based on this model, how do you expect
the motion of the molecules in ice to compare with the motion of molecules
in water vapor
200°C
Vaporization
150°C
melting
100°C
Temperature (°C)
water vapor
50°C
liquid water
0°C
-50°C
10
20
ice
30 40
Time (min)
50
60
70
O
A. This model does not provide enough data to answer the question
B. I expect the molecules in water vapor to move more quickly than
the molecules in ice.
a
C. I expect the molecules in ice to move more quickly than the
Answer:
I think it might be (a) if that helps
Here's a quick story if a boy walks to the woods at night and slender man comes along what is most likely to happen put your answers in the comments.
Answer:
the boy would go missing
Answer: Slender man converts the boy to christianity
What are the metric units of length?
A tired worker pushes a heavy (100-kg) crate that is resting on a thick pile carpet. The coefficients of static and kinetic friction are 0.6 and 0.4, respectively. The worker pushes with a horizontal force of 490 N. The frictional force exerted by the surface is
Answer:
The friction force exerted by the surface is 490 newtons.
Explanation:
From Physics, we remember that static friction force (\(f_{s}\)), measured in newtons, for a particle on a horizontal surface is represented by the following inequation:
\(f_{s} \leq \mu_{s}\cdot m \cdot g\) (Eq. 1)
Where:
\(\mu_{s}\) - Static coefficient of friction, dimensionless.
\(m\) - Mass of the crate, measured in kilograms.
\(g\) - Gravitational acceleration, measured in meters per square second.
If \(f_{s} = \mu_{s}\cdot m \cdot g\), then crate will experiment an imminent motion. The maximum static friction force is: (\(\mu_{s} = 0.6\), \(m = 100\,kg\), \(g = 9.807\,\frac{m}{s^{2}}\))
\(f_{s} = (0.6)\cdot (100\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)
\(f_{s} = 588.42\,N\)
From Newton's Laws we get that current force of friction as reaction to the pulling force done by the worker on the crate is:
\(\Sigma F = F-f = 0\)
\(f = F\) (Eq. 2)
Where:
\(F\) - Horizontal force done by the worker, measured in newtons.
\(f\) - Static friction force, measured in newtons.
If \(F = 490\,N\), then the static friction force exerted by the surface is:
\(f = 490\,N\)
Given that \(f < f_{s}\), the crate does not change its state of motion. The friction force exerted by the surface is 490 newtons.
When you squeeze one end of an inflated balloon, the other end bulges out.
Yes, yes it does. It's cool right?
Use the drop-down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be
.
Next, the bill goes to
to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of
.
In the next stage, the bill must go to the
to repeat the process.
After the bill is resolved in the
, it goes to the president.
The first step towards a bill becoming a law is for the bill to be introduced in Congress.
Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.
In the next stage, the bill must go to the other chamber, to repeat the process.
After the bill is resolved in the conference committee, it goes to the president.
What is the Congress?The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.
This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.
Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.
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Complete Question:
Use the drop down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be _____.
Next the bill goes to _____ to be marked up, dropped or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of ____.
In the next stage, the bill must go to the ____ to repeat the process.
After the bill is resolved in the ____, it goes to the president.
A_ is a cut made through the wood
along the same direction as the grain
from end to end
a
MITER CUT
b
RIP CUT
С
CROSS CUT
Answer:
i believe the answer is B only because i looked it up on g00gle so take what i say with a GRAIN of salt all puns intended
Explanation:
Question 3 of 10
What is the primary means by which heat is transferred through fluids?
O A. Direct contact of particles
OB. Radiation
OC. Electromagnetic waves
OD. Convection currents
The primary means by which heat is transferred through fluids is convection currents (option D).
What is convection current?Convection is the transmission of heat in a fluid by the circulation of currents.
Heat can be transferred by different methods depending on the medium. Fluids like gases and liquids transfer heat through the process of convection.
Therefore, the primary means by which heat is transferred through fluids is convection currents.
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Why are theories constructed
A) During the experiment
B) after data is collected from an experiment
C) before the experiment
D) after there is numerous data collected
Answer:
The correct answer is d.
Theories are constructed after there is numerous data collected during the experiment.
Explanation:
hope it helps
An electrical appliance draws 9.0 amperes of current when connected to a 120-volt
source of potential difference. What is the total amount of power dissipated by this
appliance?
1100 W
110 W
13 W
130 W
Answer:
The correct answer is "1080 W".
Explanation:
Given:
Current,
I = 9.0 A
Potential difference,
V = 120 volt
As we know,
⇒ \(Power=IV\)
On substituting the values, we get
⇒ \(=120\times 9.0\)
⇒ \(=1080 \ W\)
Which best describes the relationship between the terms frequency wavelength and hurts
Answer:
:-)}:‑)B-):-\:-*:'(:-|:‑X;-):-*:-\:-*