(a) The magnitude of force vector B at the given resultant force is 120 N.
(b) The direction of force vector A is 142.46°
Resultant of the forcesThe resultant forces is calculated as follows;
Acosθ + Bcosθ = 0 --- (1)
Asinθ + Bsinθ = 150 ---- (2)
Magnitude of BAcosθ + Bcos60 = 0
-60 + Bsin60 = 0 (Acosθ = x-component of A = Ax)
Bcos60 = 60
B = 60/cos(60)
B = 120 N
Direction of AAsinθ + Bsinθ = 150
Ay + Bsinθ = 150
Ay + 120sin60 = 150
Ay = 150 - 120sin60
Ay = 46.1 N
[tex]tan \theta = \frac{A_y}{A_x} \\\\\theta = tan^{-1} (\frac{A_y}{A_x})\\\\\theta = tan^{-1} (\frac{46.1}{-60})\\\\\theta = -37.53^0\\\\\theta = -37.53^0 + 180 = 142.46^0[/tex]
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A 2510 kg car, moving at 23.0 m/s, runs into a car that has a mass of 1750 kg
and is moving at 12.3 m/s in the same direction. The cars stick together after
the collision. Assuming momentum is conserved, what is their final velocity?
A. 18.6 m/s
B. 16.4 m/s
C. 19.3 m/s
D. 21.1 m/s
By conservation of momentum,
(2510 kg) (23.0 m/s) + (1750 kg) (12.3 m/s) = (4260 kg) v
where v is the velocity of the combined cars.
Solve for v :
(4260 kg) v = 79 255 kg•m/s
v ≈ 18.6 m/s
Suppose that you wanted to travel to the next closest star to Earth. Proxima Centauri is the closest star to our solar system at a distance of 4.3 light years (40,208,000,000,000 km). Knowing that the space shuttle’s typical speed is 28,000 km/hr, how long would it take you to get there?
Answer:
1 436 000 000 hrs 163 814 .7 years
Explanation:
40208000000000 km / 28000 km/hr =
The Space shuttle's speed is 28,000 km/hr, and the time it will take to get you there is 1436000000 hours or 163814.7 years.
What is Proxima Centauri?Although Proxima Centauri cannot be seen normally with eyes, it is one of the most famous stars in the sky. This is because it is a member of the Alpha Centauri star system, which is the nearest stellar system to our sun and is home to three known stars.
Proxima, with a distance of 4.22 light-years from our sun, is thought to be the star in Alpha Centauri that is nearest to our sun of the three. For Proxima, astronomers have so far found two planets. It also produces large solar flares, and a strange radio signal may come from it.
According to the question :
The given distance is 4.3 light-years or,
Distance = 40,208,000,000,000 km
Given speed is 28,000 km/hr.
So the time it will take to get you up there is: Distance/speed
Time = 40,208,000,000,000 km/28,000 km/hr
Time = 1436000000 hours or,
Time = 163814.7 years
Hence, the time taken to get you there will be 163814.7 years.
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What are the benefits, mechanisms and limitations of explaining, modelling and describing the material cosmos?
The study of the cosmos provides scientists with a knowledge of the material universe although limited due to lack accurate tools and equipments for the study of the cosmos.
What is the cosmos?The cosmos refers to the entire universe including the things found in them.
Understanding and explaining the universe has as always been of interest to humans both ancient and model.
Humans in ancient times earlier modelled the earth to be the centre of the universe known as the geocentric model.
A heliocentric model was proposed later to replace the geocentric model.
Both ways of modelling was limited as cosmologists did not have the tools to accurately observe outer space.
Today, advances in technology has provided powerful tool to ore accurately model the cosmos.
Therefore, the study of the cosmos provided humans with a knowledge of the material universe though limitations of accurate tools and equipments for the study of the cosmos still exist.
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If a galaxy is 200,000 light-years away from the earth, when was the light (that we now see) emitted?
Answer:
because it goes unlimited and goes as far as the astronomy asteroid belt goes
write an equation to calculate the force between two
objects if the product of their charges is 1.0 x 10'C.(Note: Use
the variable R for the distance between the charges.)
F =
The rule is
[tex]\\ \rm\Rrightarrow F=k\dfrac{q_1q_2}{R^2}[/tex]
Product of charges is givenPut that
[tex]\\ \rm\Rrightarrow F=\dfrac{k(1.0\times 10'C)}{R^2}[/tex]
The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².
What is meant by electric force ?Electric force is defined as the attraction or repelling force that exists between any two charged objects.
Here,
The product of the charges on the objects, q₁ x q₂ = 1 x 10' C²
Distance between the charges = R
According to Coulomb's law,
The electrostatic force,
F ∝ q²
F ∝ 1/R²
Therefore,
F = (1/4πε₀)(q₁q₂)/R²
where ε₀ is the permittivity of free space.
F = (1/4πε₀)(1 x 10')/R²
Hence,
The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².
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A plane mirror is used to
O A. create light energy.
OB. model wave movements.
OC. separate colors of light.
OD. reflect light.
If an input force of 202 N is applied to the handles of the wheelbarrow with
mechanical advantage 300, how large is the output force that just lifts the load?
Answer:
60600N
Explanation:
lnput =effort=202 N
mechanical advantage =300 and it's a ratio of load to effort but output force= load=? so substituting in the formula MA=L÷E we get the answer 60600NA car is traveling at a constant speed on the highway. Its tires have a diameter of 68.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 55.0 rad/s , what is the speed of the car?
Answer:
37.4m/s
Explanation:
since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:
v=55*0.68
v=37.40
How many seconds will it take a 75 W motor to lift 5 kg of apples to a height of 3 meters?
Answer:
It is not possible to calculate the time it took to go up to 3 meters.
Explanation:
There are all forces that apply to this situation like gravity, friction, torque, and efficiency. To answer this question, I might need the specifications given before to answer this question.
what is 123° in radians
Answer:
2.14675
Explanation:
Formula: 123° × π/180 = 2.147rad
1. What conclusions can you draw about how the sum of forces acting on an object affect its motion?
Answer:
The sum of all the forces acting on an object is the net force or resultant force. If all the forces cancel out, the resultant force is zero, else, the unbalanced force will cause acceleration of the object. Force is a vector and hence has both a direction and magnitude. For example, gravitational force (on earth) acts in downward direction and has a magnitude equal to mass of the object and acceleration due to gravity. Once we know all the forces that are acting on a body, we resolve all of them into components (typically horizontal and vertical) and take summation of forces in each direction. If such forces cancel out (in each direction), the object maintains its state of rest or constant motion. If however, forces do not cancel out, there is a net resultant force on the object that will cause acceleration of the object (as given by Newton's second law of motion).
Explanation:
Calculate the resistance of 1 km long copper wire of radius 1 mm.
(specific resistance of copper is 1.72 * 10^-8 ohm meter)
Length, l=1 km=1000 m
Radius, r=1 mm=10^−3 m
to find:the resistance.
solution:Specific resistance of copper:
ρ=1.72×10^−8
Area of cross-section:
A=π×r2=3.14×10^−6 m^2
Let the resistance be R.
As we know, R=ρ l/A
On substituting values:
R=1.72×10^−8×10^3/3.14×10^−6
=5.5 ohm
⇒ Resistance of the copper wire, is 5.5 ohm.
5.5 Ω
Explanation:
Given : l = 1 km = 1000 m, r = 1 mm = 10^-3 m,
[tex]a = \pi {r}^{2} [/tex]
[tex]= > 3.14 \times ( {10}^{ - 3} )^{2} \\ = > 3.14 \times {10}^{ - 6} \: {m}^{2} .[/tex]
[tex]specific \: \: resistance \: \: ρ \: \\ = > 1.72 \times {10}^{ - 8} Ω \: m[/tex]
Resistance (R) :-
[tex]R \: = ρ \times \frac{l}{a} \\ \\ = > \frac{(1.72 \times {10}^{ - 8} ) \times 1000}{3.14 \times {10}^{ - 6} } \\ \\ = > 5.5 \: Ω[/tex]
Hope it helps you!!Which of the following distinguishes the isotope uranium-238 from the isotope uranium-235?
A.number of neutrons in the nucleus
B.location on the periodic table
C.amount of negative charge
D.ability to form ions
Answer: A
Explanation:
Isotopes of different elements differ by the number of neutrons inside the nucleus.
The isotope of uranium-238 is different from the isotope uranium-235 by number of neutrons in the nucleus.
What is isotope?Isotopes are two or more types of atoms that have the same atomic number and position in the periodic table, and that differ in nucleon numbers due to different numbers of neutrons in their nuclei.
What is uranium-238?Uranium-238 is the most common isotope of uranium found in nature, with a relative abundance of 99%. It can be used for radiation shielding or as projectiles in armor-piercing weapons.
What is uranium-235?Uranium-235 is the only naturally occurring fissile isotope, which makes it widely used in nuclear power plants and nuclear weapons.
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A body of mass 2.00 kg is pushed straight upward by a 25.0 N vertical force. What is its acceleration
The acceleration on a body of mass 2kg with a force of 25N is 12.5 m/s^2
Mass and AccelerationGiven Data
Mass = 2 kgForce = 25NWe know that the expression for the Relationship between force acceleration and Mass is given as
F = ma----------------1
Substituting our given data into the expression we have
25 = 2*a
Making acceleration the subject of the formula we have
a = 25/2
a = 12.5 m/s^2
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what do i ask hmmmm oh i know what is gravity?
Answer:
Gravity is the force that keeps us on our planet.
Explanation:
In space, the more mass you have, the more gravity you have. We all have gravity, however earth overpowers it.
Increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb. Group of answer choices True False
Increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].
Series circuitA series circuit is a type of circuit arrangement, where the same current flows in each resistor of the circuit. Also Different voltage flow in each resistor of the circuit.
The total voltage drop in a series circuit is given as;
V = IR₁ + IR₂ + IR₃ + ----
V = I(R₁ + R₂ + R₃)
From the above equation, increase in the number of resistance, increases the voltage drop.
Thus, increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].
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What is meant by the phrase "a consistent method of measurement"?
• A. The same person performs all measurements.
• B. Variables are measured using the same method each time.
O C. All measurements are in non-Si units.
• D. You only take one measurement.
SUBMIT
Answer:
B same method
Explanation:
If it takes a wave on the ocean 95.2 seconds to pass by the point of a rock, what is the frequency with which the waves are passing by to the nearest two decimal places?
Answer:
.01 Hz
Explanation:
f = 1/period
= 1 / 95.2 = .01 Hz
If 1.5 kilograms of water is to be heated from 20.0°C to 75°C to make a cup of
tea, how much heat must be added? The specific heat of water is 4.18 J/kg°C. *
Answer:
142428.358 J must be added per kg of water.
Explanation:
because the heat of the water is 4.18 J per kg of water then 75 degrees Celcius is 142,432 J then 142432.53750000108 - 4.18 = 142428.358 J for per kg of water.
Is there friction in 0 gravity?
Answer:
yes.
Explanation:
Friction exists in space, just that not in the most familiar cases. Walking or rolling are not normally possible without gravity pushing both bodies in contact with a normal force. However the normal force does not have to be only gravity, it could be caused by pressure or some other force (thrusters, magnetism etc).
Hope this helped! Have a nice day!
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Dont let the pirates get ya!
- Jaron, King of Carthya.
The diagram below show the earth and the sun, as well as four different possible positions for the moon (Z, W, X, and Y). Where will the moon be during a SOLAR eclipse as seen from Earth?
The diagram below shows four coastline locations on Earth with respect to the moon and sun at a given
Question 3 options:
Z
W
X
Y
Answer: Z
Explanation: I took the quiz!! :3
During a solar eclipse as seen from Earth, the moon will be at the position Z.
What is meant by solar eclipse ?When the Moon moves in front of the Sun, obstructing the Sun's view for a small portion of the Earth either completely or partially, this is known as a solar eclipse.
Here,
When the Moon is in its new moon phase, when its orbital plane is closest to that of the Earth's, and during eclipse season, such an alignment takes place roughly every six months. The Sun's disc is completely covered by the Moon during a total eclipse. The Sun is only partially covered by annular and partial eclipses. A solar eclipse can only be seen from a relatively restricted area of the earth, in contrast to a lunar eclipse, which can be seen from anyplace on the night side of Earth.
The Moon is parallel to the line connecting the Earth and the Sun at its first and final quarters. Only one-half of the Moon is visible to us as being illuminated by the Sun; the other one-half is hidden in shadow.
Hence,
During a solar eclipse as seen from Earth, the moon will be at the position Z.
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what is the resultant velocity of a point of x-component Vx = t^3 - 1 and y-component Vy = t^2 - t at time t =4?
With the use of formula, the resultant velocity is 64 m/s approximately.
VelocityVelocity is the distance travelled in a specific direction per time taken. Velocity is a vector quantity. It can be represented in a vector diagram.
The S.I unit of velocity is meter per second. That is, m/s
Given that the coordinate velocity of a point of x-component Vx = t^3 - 1 and y-component Vy = t^2 - t at time t = 4. The resultant velocity of this point can be calculated by using the below formula.
[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]
Where
[tex]V_{R}[/tex] = Resultant Velocity[tex]V_{x}[/tex] = x - component of the velocity[tex]V_{y}[/tex] = y - component of the velocitySince time t = 4s.
For x - component,
[tex]V_{x}[/tex] = [tex]t^{3}[/tex] - 1
[tex]V_{x}[/tex] = [tex]4^{3}[/tex] - 1
[tex]V_{x}[/tex] = 64 - 1
[tex]V_{x}[/tex] = 63 m/s
For y - component
[tex]V_{y}[/tex] = [tex]t^{2}[/tex] - t
[tex]V_{y}[/tex] = [tex]4^{2}[/tex] - 4
[tex]V_{y}[/tex] = 16 - 4
[tex]V_{y}[/tex] = 12 m/s
[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]
[tex]V_{R}[/tex] = [tex]\sqrt{63^{2} + 12^{2} }[/tex]
[tex]V_{R}[/tex] = [tex]\sqrt{4113}[/tex]
[tex]V_{R}[/tex] = 64.13 m/s
Therefore, the resultant velocity on that point is 64.13 m/s
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Which statement is the best description of force?
• A. It always acts at a distance.
•
B. It can cause an object to accelerate.
•
C. It can give an object more mass.
• D. It can only act between two objects that are touching each other.
Answer:
B
Explanation:
force is anything that causes an object in motion to stop,an object at rest to move and an object moving in uniform direction
to change its positionThe spacecraft Magellan's fifth orbit around the Venus was at a mean altitude of 3.01 x 105 m. What was its period? Mean radius of Venus = 6.05 x 106 m. Mass of Venus = 4.87 x 1024 kg.
The period of the orbit of the spacecraft around Venus is 5187.3 seconds.
What did the period of motion of a an object?The period, T, of an object in circular motion is the time taken for one complete revolution.
The period, T, of the planetary body is given as:
[tex]T = 2\pi\sqrt{\frac{r^{3}}{Gm}}[/tex]
where;
r is the radius G is universal gravitational constant = 6.67 × 10^-11 Nm^2/kg^2m is the massSubstituting the values:
[tex]T = 2\pi\sqrt{\frac{(6.05 \times 10^{6})^{3}}{6.67 \times 10^{ - 11} \times 4.87 \times 10^{24}}} = 5187.8s[/tex]
Therefore, the period of the orbit of the spacecraft is 5187.3 seconds.
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What is longitudinal wave ?
Explanation:
Longitudinal waves are waves in which the vibration of the medium is parallel ("along") to the direction the wave travels and displacement of the medium is in the same (or opposite) direction of the wave propagationA cart of mass 4.0 kg is being pulled with a force of 24 N. The cart accelerates at 3.0 m s-2. What is the net force on the cart?
Answer:
waitt in comments... .................
A car with a mass of 1500 kg is traveling at a speed of 30 m/s what force must be applied to stop the car in 3 seconds
Answer:
15 000 N
Explanation:
Newtons Law 2. When a body is acted upon by a force, the time rate of change of its momentum equals the force.
F=ma
a=30m/s / 3s=10m/c²
F=1500kg*10m/c²=15 000 N
Seawater is full of moving molecules that pos-
sess kinetic energy.
Could we extract some of this energy from
seawater?
5
G
1. Yes, by boiling the seawater into steam.
2. Yes, by putting the seawater into contact
with something cooler.
3. No, the kinetic energy is unusable.?
4. Yes, by putting the seawater into contact
with something hotter
No, the kinetic energy of the moving molecules in the sea water cannot be extracted for use. Details about kinetic energy can be found below.
What is kinetic energy?Kinetic energy is a form of energy that is produced as a result of motion i.e. it is the energy possessed by a moving body.
This means that the kinetic energy of a moving body is specific to that body and dependent on the movement of that body. The kinetic energy is quickly converted to potential energy once the body stops moving.
Therefore, the kinetic energy of the moving molecules in the sea water cannot be extracted for use.
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select and explain three features of the solar panel that maximises the final temperature of the water
Answer:
Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature
What is TRUE about the use of drawings at a crime scene?
O A. Drawings are no longer used because photography is more precise.
OB. Only when a camera is not immediately available should a sketch be made.
O c.
It is common practice for investigators to make a sketch of a crime scene.
OD. Investigators are trained in how to make a quality finished sketch of a scene.
Answer:
A. Drawings are no longer used because photography is more precise.
Explanation:
It is common practice for investigators to make a sketch of a crime scene.
Creating sketches of crime scenes is a common practice among investigators, as it provides valuable visual documentation that complements photographs and written notes. While photography is an important tool for capturing detailed and precise information, sketches offer unique advantages that contribute to the overall understanding of the crime scene.
Sketches can provide a clear and organized representation of the spatial relationships, distances, and dimensions within the crime scene. They can accurately depict the layout of the area, the position of evidence, the location of key objects, and other relevant details that may not be fully captured by photographs alone.
Additionally, sketches allow investigators to emphasize specific features or elements that are essential to the case. This can aid in explaining the sequence of events, the movement of individuals or objects, and other dynamic aspects of the crime scene.
While digital photography is widely used today, sketches remain valuable for scenarios where a camera may not immediately be available, when capturing certain angles or perspectives is challenging, or when highlighting specific details is necessary.
Investigators are trained in creating accurate and detailed sketches that adhere to professional standards. This includes ensuring accurate measurements, using appropriate scale ratios, labeling key features, and maintaining object proportions. Sketched crime scene diagrams are often included in official investigative reports and court proceedings to provide a comprehensive visual representation of the crime scene, enhancing the communication of information among investigators, legal professionals, and jurors.
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