Answer: [tex]t=\dfrac{b}{c}[/tex]
Explanation:
Given
The position vector is [tex]\vec{r}=bt^2\hat{i}+ct^3\hat{j}\\[/tex]
So, the angle made by position vector is [tex]45^{\circ}[/tex] at
[tex]\Rightarrow \tan 45^{\circ}=\dfrac{r_y}{r_x}\\\\\Rightarrow \tan 45^{\circ}=\dfrac{ct^3}{bt^2}\\\\\Rightarrow bt^2=ct^3\\\\\Rightarrow t=\dfrac{b}{c}[/tex]
At [tex]t=\dfrac{b}{c}[/tex], position vector makes [tex]45^{\circ}[/tex] with x and y axes
Magnitude of force F experienced by a certain object moving with speed v is given by F=Kv race to 2, where K is constant. Find the dimension of K
MT⁻¹
Explanation:Given equation:
F = Kv --------------(i)
Where;
F = Magnitude of force experienced by the object
v = speed at which the object is moving
K = constant.
To get the dimension of K, follow the following steps:
i. Make K subject of the formula in equation(i)
K = F / v
ii. Get the dimension of force F and speed v
Dimension of force = MLT⁻²
Dimension of velocity = LT⁻¹
iii. Substitute these dimensions into the result of (i) above;
K = MLT⁻² / LT⁻¹
iv. Simplify the result in (iii)
First, the Ls in the numerator and denominator will cancel out
K = MT⁻² / T⁻¹
Next, the Ts will be expressed as follows
K = MT⁻² x T¹ [using the law of indices]
K = MT⁻²⁺¹
K = MT⁻¹
Therefore, the dimension of K is MT⁻¹
What planet has an eleven hundred degree difference from one side to the other.
For every action, there is an equal and opposite reaction.
Does the statement describe a scientific law?
Answer:
This is newton's 3rd law
Explanation:
Contrast the image formed by a convex lens when an object is located more than twice the focal length from the lens with the image formed when the object is between the lens and the focal point
Answer:
[tex]\begin{array}{lll}&\underline{Object \ at \ more \ than \ 2\times Focus} & \underline{Object \ at \ less \ than \ Focus}\\\\1. \ Location \ of \ image &Same \ side \ as \ object&Opposite \ side \ of \ lens\\\\2. \ Orientation \ of \ image &Inverted&Upright\\\\3. \ Type \ of \ image&Real&Virtual\\\\4. \ Size\ of \ image&Smaller \ than \ object& Larger \ than \ object\end{array}[/tex]
Explanation:
The location, orientation, size, and type of image formed by a convex lens are related to the position of the image location in front of the lens
Object >2·F = The image formed by a convex lens when the object is located more than twice the focal length from the lens
Object < F = The image formed by the convex lens when the object is located between the lens and the focal length
[tex]\begin{array}{lll}&\underline{Object \ > \ 2\cdot F} & \underline{Object < F}\\\\1. \ Location \ of \ image &Same \ side \ as \ object&Opposite \ side \ of \ lens\\\\2. \ Orientation \ of \ image &Inverted&Upright\\\\3. \ Type \ of \ image&Real&Virtual\\\\4. \ Size\ of \ image&Smaller \ than \ object& Larger \ than \ object\end{array}[/tex]
Si un automóvil logra una potencia util promedio de 250kw y se sabe que tiene un rendimiento energético del 25%. ¿Cuanta energia total consume en 1 min? Exprese el resultado en kj
Answer:
W = 3.75 kJ
Explanation:
Power is defined by the relational
P = W / t
W = P t
the yield is 25% = 0.25
W = 0.25 Wo
W = 0.25 250 60
W = 3750 J
W = 3.75 kJ
A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. How long does it take the ball to reach the maximum height?
Answer:
3 seconds
Explanation:
Applying,
Applying,
v = u±gt................ Equation 1
Where v = final velocity, u = initial velocity, t = time, g = acceleration due to gravity.
From the question,
Given: v = 0 m/s ( at the maximum height), u = 30 m/s
Constant: g = -10 m/s
Substitute these values into equation 1
0 = 30-10t
10t = 30
t = 30/10
t = 3 seconds
The total momentum before a collision is___to the total momentum after a collision
Answer:
Equal
Explanation:
The law of conservation of energy states that the total momentum before and after a collision are equal
Answer:
Equal to the total momentum of the two objects after the collision.
Which value is equivalent to 178 centimeters?
A.
1.78 millimeters
B.
17.8 millimeters
C.
1.78 meters
D.
1.78 × 10-2 micrometers
E.
1.78 × 10-5 kilometers
Answer: The answer is C.
Explanation: 1 centimeter is equal to 0.01 of a meter and 178 centimeters times 0.01 is 1.78 meters, Hope that helps
Discuss how our lives on Earth are directly related to our relationship and positioning with the Sun in our Solar System.
Answer:
They are because 1. New years culture benefits 2. Gives the right amount of heat as well as a day/ night cycle and the 4 seasons because of the earths tilt
Answer:
Explanation:
Our lives on earth are directly connected to the sun and our solar system because they give the right amount of heat and as well as the day and night cycle. Furthermore, due to the earth’s tilt, we get our four seasons which are very important to us as humans, getting different seasons and weather conditions.
The solar system also affects the tides and
A Long time ago, the Moon was closer to the Earth and spinning rapidly. The Moon’s tidal bulges didn’t align with the Earth, and the Earth’s gravity tugged on them, slowing the Moon’s spin and moving it farther away. As it moved farther away, the time it took to orbit once around the Earth increased: Its orbital period got longer. Eventually, the lengthening rotation of the Moon matched how long it took to go around the Earth. When that happened, the axis of the bulges pointed right at the Earth. That’s why the Moon only shows one face to us! It spins once per month and goes around us once per month.
Gravity is a force, and it weakens with distance. An important thing to note is that we measure gravity from the center of mass of an object, not its surface. One way to think of the center of mass of an object is the average position in an object of all its mass. For an evenly distributed sphere, that’s its center.
Since gravity weakens with distance, the force of Earth’s gravity on your head is less than it is on your feet, it’s way too small for you to ever notice. This change in the force of gravity over distance is what astronomers call the tidal force. The overall effect of the tidal force is to stretch an object.
The Moon has gravity. Just as the bulge is pulling the Moon ahead, the Moon is pulling the bulge back, slowing it down. Because of friction with the rest of the Earth, this slowing of the bulge is actually slowing the rotation of the Earth itself, making the day longer. The effect is small, but it’s measurable.
The constellations and astronomy give us our zodiac signs, and from previous knowledge, I know that zodiac signs impact our personalities greatly. If constellations were not found then zodiac signs wouldn’t have been created.
1.Which car has zero acceleration?
2. which car is decelerating?
Answer:
1. B has no acceleration because the straight line shows that it's a constant speed not speeding up or down.
2. A because you can see the decline in speed as time goes on
What is the difference between the mass
number and atomic numberof an atom
Complete the statement by filling in the Blanks:
In this experiment, the (Blank) was intentionally manipulated. This was the independent variable. The dependent variable measured was the (Blank).
Options for the Blanks:
- Induced Current
- Magnet Polarity
- Magnet Strength
Answer:
induced current
Explanation:
intentionally manipulated.
Answer:
1. Magnet Polarity 2.Induced Current
Explanation:
Like the guy above said
a hotgas is injected into at engine at 573 k and exhausts at 343 k. what is the highest efficiency of thisengine?
Answer:
230k
Explanation:
energy capacity maximum is 573 total available. 343k of that energy is present at release and subsequent loss leaving max used energy of 230k.
give reason for the following observation
The smell of hot sizzling food reaches you several metres away but to get the smell from cold food you have to go close.
Answer: The smell of hot sizzling food reaches you several metres away, but to get the smell from cold food you have to go close because the kinetic energy of the particles of matter increases with the increase in temperature. In cold foods, kinetic energy is less while in hot foods, kinetic energy is more
hope this helps
Smell spreads due to diffusion. In hot food the molecules have a lot of kinetic energy , and they therefore spread fast , whereas in cold food the kinetic energy of the molecules are less and they don't spread far.
which level of the energy pyramid contains the most energy
Answer:
lowest level contains more energy
Explanation:
A wave with a frequency of 70.0 Hz travels through rubber with a wavelength of 0.80 m. What is the velocity of the wave?
Explanation:
everything can be found in the picture
Pascal in term fundamental unit is?
Answer: SI unit of pressure
Explanation: The pascal (pronounced pass-KAL and abbreviated Pa) is the unit of pressure or stress in the International System of Units (SI). Reduced to base units in SI, one pascal is one kilogram per meter per second squared; that is, 1 Pa = 1 kg · m-1 · s-2.
Hope this helps! Have a fantastic rest of ur day, luv!
Lucas pushes on a car stuck in a ditch with a force of 1000 N for 15 minutes. The car remains stuck. How much work did Lucas do?
Your answer:
O 66.7)
0 0
o 1.22)
O 22,000
Answer:
I think it would be the second answer...
Explanation:
Hope this helps!
Lucas do a work of 0 joule. Hence, option (B) is correct.
What is work?The notion of work in science is significantly different from what it is understood to entail in ordinary life. Every time work is performed, energy is transmitted, as shown by the definition of work in physics.
A force must be applied and there must be movement in the force's direction for a work to be completed scientifically. Having said that, we may state that The product of the component of the force acting in the displacement's direction and its magnitude is work.
Mathematically work done can be expressed as:
work done = force × displacement × cosθ
Where θ is the angle between the force and the displacement .
Here, the car remains stuck, that means, no displacement happens. So. Lucas do a work of 0 joule.
Learn more about work here:
https://brainly.com/question/19382352
#SPJ6
Which of these historical events led to a major imbalance in the carbon cycle?
A. American Revolution
B. American Civil War
C. The Industrial Revolution
D. The Renaissance
Answer:
C
Explanation:
I think it's industrial revolution because many industries were developed which emitted a lot of carbon gases in the atmosphere.
The Industrial Revolution events led to a major imbalance in the carbon cycle. The correct option is C.
What is Industrial Revolution?The Industrial Revolution, which began in the late 18th century and continued through the 19th century, led to a major increase in the burning of fossil fuels such as coal, oil, and gas. This led to a significant increase in carbon emissions and a disruption of the natural carbon cycle.
Prior to the Industrial Revolution, the carbon cycle was relatively balanced, with carbon being naturally cycled through the atmosphere, oceans, plants, and animals. However, the burning of fossil fuels has released large amounts of carbon dioxide(CO₂) into the atmosphere, which has led to an increase in atmospheric carbon dioxide(CO₂) levels and contributed to global warming and climate change.
Other historical events such as the American Revolution, American Civil War, and the Renaissance did not have a significant impact on the carbon cycle in the same way that the Industrial Revolution did.
Therefore, The correct answer is C i.eThe Industrial Revolution.
To learn more about global warming click:
https://brainly.com/question/12908180
#SPJ3
Does applying force on a body mean that it has to become faster or
slower?? Explain on the basis of circular motion
Answer:
it means it will become faster because more force are applied. This means that if you get pushed, the harder you are pushed, the faster you'll move (accelerate). The bigger you are, the slower you'll move.
hope this helps bby<3
PLS HELPP HURRYYY
The trapdoor swings open and the ball falls to the ground. The ball does not bounce when it hits the ground. Show that the final speed of the ball at the instant before it hits the ground is about 5 m/s.
Answer:
5 m/s
Explanation:
As the ball falls to the ground, it is acted upon by a force which is due to the gravitational force. Hence, the ball falls with an acceleration called the acceleration due to gravity.
Let us assume that the acceleration due to gravity (g) = 10 m/s², Since initially, the body was at rest, hence the initial velocity (u) = 0 m/s. The height to the ground (h) = 1.3 m. Hence using the equation of motion, the final velocity (v) is:
v² = u² + 2gh
Substituting:
v² = 0² + 2(10)(1.3)
v² = 26
v = √26 = 5
v = 5 m/s
The same wave travels for 2 seconds, what is its frequency?*
Answer:
In waves distance is measured by wave length and time is measured by frequency or period.
velocity ratio=wave length multiply by frequency.
HENCE, if the same wave travels for 2 econds its frequency will be 2Hz.
Explanation:
plz help i have an exam and i dont understand this
A body initially moving at a constant speed is brought to rest at a uniform rate. Which of the speed time graphs below indicate the motion of the body? *
2 points
Answer:
Graph B
Explanation:
Graph B represents the motion of the body as the body moves at a speed first this show the rise in speed. And then it's comes to rest where time is constant the speed drops down and the body comes to rest...
PLEASE HELP ME AND REALLY NEED THIS ANSWER QUIKLY
A student starts a stopwatch when a bob reaches to point M.he counts each time when the bob changes direction and stops the watch on th tenth change in direction . the watch shows a time of 12.0 second . calculate the time period.
please help me with the question!!
Answer:
the time period is 14.00
Explanation:
it.answer help you
Sound travels slowest through gases _____________________. Group of answer choices because the molecules of gas are close together because gases are air because the molecules of gas are far apart because gases have the lowest temperature
What is the mass of an object if a net force of 18 N causes it to accelerate at 15 m/s^2?
Answer:
1.2 kg
Explanation:
F = 18N
a = 15 m/s^2
F = ma
18 = 15m
m = 1.2 kg
how can you reduce output voltage to 6v in transformers if the input voltage is 240v
Answer:
[tex]N_P = 40\ N_S[/tex]
To reduce the output voltage to 6v in transformers if the input voltage is 240v, we need to have 40 times as many turns in the primary coil as there are in the secondary coil.
Explanation:
The change in voltage of a transformer depends upon the turns ratio of the transformer between secondary and primary coil. Following formula can be used to determine the turns ratio in this case:
[tex]\frac{N_P}{N_S} = \frac{V_P}{V_S} \\\\[/tex]
where,
[tex]N_P[/tex] = No. of turns in the primary coil
[tex]N_S[/tex] = No. of turns in the secondary coil
[tex]V_P[/tex] = voltage in the primary coil = 240 V
[tex]V_S[/tex] = voltage in the secondary coil = 6 V
Therefore,
[tex]\frac{N_P}{N_S} = \frac{240\ V}{6\ V} \\\\N_P = 40\ N_S[/tex]
To reduce the output voltage to 6v in transformers if the input voltage is 240v, we need to have 40 times as many turns in the primary coil as there are in the secondary coil.
In the example given below, Aaron applies a force of 300N and Bob applies a force of 450N :
A) calculate the total anti-clockwise moment
B) calculate total clockwise moment
C) Is this system in equilibrium? What will happen to the see saw?
D) Where would Bob have to stand in order to balance the see saw
Answer:
Explanation:
This problem is all about torque. The "rules" are that in order for a system to be in rotational equilibrium, the sum of the torques on the system have to equal 0 (in other words, they have to equal each other {cancel each other out}). The equation for torque is
τ = F⊥r where τ is torque, F⊥ is the perpendicular force, and r is the lever arm length in meters. We also have to understand that in general Forces moving clockwise are negative and Forces moving counterclockwise are positive. Now we're ready for the problem:
A. The counterclockwise torque:
τ = 300(3) so
τ = 900N*m
B. The clockwise torque:
τ = -450(2.5) so
τ = -1100N*m
C. Obviously the system is not in roational equilibrium because one side is experiencing a greater torque than the other. This system will move clockwise as it currently exists.
D. In order for the system to be in rotational equilibrium, we have to move Bob's location from the fulcrum. Let's see to where.
The torques have to be the same on both sides of the fulcrum; mathematically, that looks like this:
F⊥r = F⊥r Filling in:
300(3) = 450r and
900 = 450r so
2 = r. This means that Bob will have to move closer to the fulcrum by a half of a meter to 2 meters from the fulcrum in order for the system to be in balance.
Isn't this so much fun?!
Which property of the coating on fiber-optic strands makes light visible only at the ends of the strands?
reflectivity
absorbency
transparency
translucency
The answer is A, Hope this helps and sorry for being late :)
A system engine generating 5 hp is raising a load weighting 2000 lb. How high will the load be raised in 10s?
Answer:
h = 44.5 m
Explanation:
Given that,
Power of the engine, P = 5 hP = 3728.5 W
Weight of the load, W = 2000 lb = 8900 kg
We need to find how high the load be raised in 10 s.
We know that,
Power, [tex]P=\dfrac{W}{t}[/tex]
Where
W is work done
Also,
1 Pound = 4.45 newtons earth (N)
[tex]P=\dfrac{F\times h}{t}\\\\h=\dfrac{Pt}{F}\\\\h=\dfrac{8900\times 10}{2000}\\\\h=44.5\ m[/tex]
So, the height raised by the load is 44.5 m.
