The direction of a vector that has the following components is 233°.
What is direction of a vector?
The direction of a vector is where its endpoint points. However, when at least one of the characteristics mentioned above is different, we say that the vectors are different.
In this case, this calculus will be:
[tex]tan\theta= \frac{59}{44} \\\theta= tan^{-1}(\frac{59}{44})\\ \theta= 233\°[/tex]
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The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
The direction of a vector with components x = -44 m and y = -59 m can be determined using trigonometry. In this case, we have:
x-component (x) = -44 m
y-component (y) = -59 m
We can use the inverse tangent function to find the angle.
The direction angle (θ) can be calculated as:
θ = arctan(y / x)
θ = arctan((-59 m) / (-44 m))
Calculating this expression:
θ ≈ arctan(1.341)
To find the actual angle, we can use a calculator or table to determine the inverse tangent of 1.341.
θ ≈ 52.16 degrees
Therefore, the direction of the vector is approximately 52.16 degrees in the counterclockwise direction from the positive x-axis.
The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
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Try to solve this question:
Explanation:
w = mg
on earth
w = mg
w = 60 × 9.8 = 588 N
on moon
w = mg
w = 60 × 1.6 = 96 N
on Mars
w = mg
w = 60 × 3.7 = 222 N
In this question,we solve it using the formulae below:
W=mg.
So to find the weight of the object in 1.Earth.Enter the given data on formula:
W=mg
W=60×9.8
W= 588N.2.Weight on the moon.
W=mg
W=60×1.6
W=96N3.Weight on Mars.
W=mg
W=60×3.7
W=222N.Q2 Alice wants to find the pressure she exerts upon the floor. She measures the length and width of her shoe and multiplies them together to get a rough area. She then doubles the answer. She divides her weight in newtons by the total area she has worked out. a) Why won't her area measurement be very accurate?
Answer:
The area estimate is somewhat inaccurate because the length * width of the shoe will be an inaccurate measurement of the area of the shoe that actually contacts the floor.
According to the law of conservation of energy, which statement must be true?
A. The total energy of a system can increase only if energy enters the system.
B. A system cannot take in additional matter.
C. The total energy in a system can only decrease over time.
D. Energy that is transferred cannot be transformed into a different type of energy.
Answer:
B. A system cannot take in additional matter.
Explanation: The total amount of energy in the universe remains constant, it can merely change from one form to another.
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For an object on a flat surface, the force of gravity is 15 newtons downward and the normal force is 15 newtons upward. The applied force is 10 newtons toward the left and the frictional force is 8 newtons toward the right. What is the magnitude and direction of the net force?
2 newtons toward the right
2 newtons upward
2 newtons toward the left
2 newtons downward
Answer:
There is a net force of 2 N to the left.
With 8 N to the left the up/down and left/right forces are in balance.
The force left over is 2 N to the left.
Complete the following hypothesis the pressure lncrease as
Temperature is increased the pressure also increases due to fast movement of molecules because of more energy.
How temperature is related to pressure?The temperature of the gas is directly proportional to the pressure. Faster moving particles will collide with the walls of the container that put force on the wall which leads to increase in pressure.
So we can conclude that temperature is increased the pressure also increases due to fast movement of molecules because of more energy.
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Can you explain why number 3 is correct?
Q19. Which waves would be found at the surface at regions A and C?
1. P waves
2. S waves
3. No waves
The correct answer was number 3. But I don’t know why :(
A bullet travels at 850 m/s. How long will it take a bullet to go 1000 m?
Answer:
I say 150 because i aded 850+150= 1000 so yea thats how i got my answer
Explanation:
How fast would you (70kg) need to run in order to have the same momentum as a car (750kg) driving at 5 km/hr?
From the calculations and the data provided, the speed is obtained as 15 m/s
What is momentum?The term momentum refers to the product of mass and velocity. Given that we can now proceed with the answer.
Since;
p = mv
m = 750kg
v = 5 km/hr or 1.4 m/s
p = 750kg * 1.4 m/s
p = 1050 kgm/s
If the mass of the body is 70kg, the speed is
v = p/m
v = 1050 kgm/s/70 Kg
= 15 m/s
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Relate a real life phenomena with each branch of physics..
Answer:
Absolutely no real-life phenomena/ uses are possible that are related to any branch of physics, except:
1 The device you are reading this answer on. (quantum mechanics, electronics )
2 The air conditioner in your room. ( electromagnetism, electronics )
3 The satellites and space stations in space which will help in the deciphering of the universe will help us look for a suitable planet when we render the earth useless. ( general and special relativity, classical mechanics )
4 Ohh. I forgot, do you wear clothes, well they are made in factories where factories run on the principles of thermodynamics, which is physics.
5 Ever gone somewhere? Well, the transportation uses classical mechanics, thermodynamics, electromagnetism, relativity ( if you know Global Positioning System )
6 GPS itself! It’s used in online maps, navigating, and this sort of stuff. It works on general relativity.
Honestly, this list is endless.
If you wanted to
reduce the resistance
in a circuit, what
should you do?
A. increase the length of the wire
B. replace a steel wire with a copper wire
C. replace a wide wire with a thin wire
Answer:
Option C
Explanation:
According to the formula
[tex]\\ \boxed{\sf R=\rho\dfrac{\ell}{A}}[/tex]So
If we use wide wire we increase the area of cross section so resistance decreases
What name carries the hypothetical artificial megastructure surrounding a star in order to capture its power?.
For this situation, i push on a heavy chair. suppose i push moderately on the chair, and this time the chair does move. then the strength of the force the chair exerts on me is group of answer choices
How does the force of gravity vary with distance
The force of gravity vary inversely with square of distance between two objects.
What is gravity?The force of attraction felt by a person which is directed at the center of a planet or Earth is called as the gravity.
The force of attraction is directly proportional to the product of masses of the object and inversely proportional to the square of distance between them.
F = GMm/d²
here G is the gravitational constant.
If the distance changes, the force of gravitation changes. The mass remains the same.
Thus, the force of gravity vary inversely with square of distance between two objects.
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A train traveling at 50m/s comes to a complete stop in 45 seconds. what was the rate of acceleration of the train?
The magnitude of the acceleration of the car is determined as 1.11 m/s².
Acceleration of the train
The acceleration of the train is determined as the rate of change of velocity with time.
The magnitude of the acceleration of the car is calculated as follows;
a = v/t
a = 50/45
a = 1.11 m/s²
Thus, the magnitude of the acceleration of the car is determined as 1.11 m/s².
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Are there conditions under which the incident light ray undergoes reflection but not transmission at the boundary? if so, then what are those conditions?
Total internal reflection causes light to be completely reflected across the boundary between the two media but not transmitted.
What is total internal reflection?The term total internal reflection occurs when light is moving from a denser to a less dense medium such as from glass to air. This phenomenon occurs at the interface between the two media.
There are two conditions necessary for total internal reflection and they are;
1) Light must travel from a denser to a less dense medium
2) The angle of incidence in the denser medium must be greater than the critical angle.
Total internal reflection causes light to be completely reflected across the boundary between the two media but not transmitted.
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please help me with this
which one has the most potential energy
Answer:
A
Explanation:
A has the most potential energy as it is higher up so it has the most gravitational potential energy.
A student on a tower 49 m height drops a stone. One second later he throws a second stone after the first. They both hit the ground at the same time, with what speed did he throw the second stone. [Ans: 10.1m/s]
By applying the second equation of motion, the speed at which he threw the second stone is equal to 12.10 m/s.
How to determine the speed?First of all, we would calculate the time taken by the first stone to reach a height of 49 meters by applying the second equation of motion as follows:
S = ut + ½gt²
49 = 0(t) + ½ × 9.8 × t²
49 = 4.9t²
t² = 49/4.9
t = √10
t = 3.16 seconds.
Now, we can determine the speed at which he threw the second stone:
Note: Time = 3.16 - 1 = 2.16 seconds.
S = ut + ½gt²
49 = u(2.16) + ½ × 9.8 × 2.16²
49 = 2.16u + 22.86
2.16u = 49 - 22.86
u = 26.14/2.16
u = 12.10 m/s.
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What is a car’s acceleration if it increases its speed from 5 m/s to 20 m/s in 3 s? 10 m/s2 –15 m/s2 15 m/s2 5 m/s2
Answer:
5 m/s²
Explanation:
Acceleration = change in speed/time taken
20-5=15
15/3= 5 m/s²
A spinning turbine at an electrical plant produces energy that flows through wires to your house. The energy in the wires can be used to light up a computer screen. In this example, what type of energy transformations occurred
The spinning turbine converts mechanical energy into electrical energy that is converted into light energy used to light up the house.
What is law conservation of energy?The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.
The spinning turbine works on the principle of mechanical energy.
Thus, the spinning turbine converts mechanical energy into electrical energy that is converted into light energy used to light up the house.
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What do echolocation and ultrasounds have in common?
The quarks that compose a baryon may have charges of:.
The quarks that compose a baryon may have charges of +(2/3)e and -(1/3)e which means have negative and positive charges.
What are quarks?Quarks are the most fundamental particles that make up the atomic nucleus. All solid matter that we know is made of three particles, which are the up and down quarks, 'u' and 'd', and the electron.
Quark is one of the two basic elements that make up matter and is the only one of the particles that interacts through all four fundamental forces.
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You are standing on a river bank. The river is flowing at a rate of $2.0\;\mathrm{ m/s}.$ You see a duck is floating in the river without swimming, and is being carried by the river downstream. You throw two pieces of bread at the duck. One piece lands upstream of the duck, and the other downstream equal distance. The duck can swim at $1.0 \; \mathrm{m/s}.$ The duck is hungry, and wants to reach the bread in the shortest amount of time. What should the duck do
Let the upstream breadcrumb's position act as the origin, so the position at time [tex]t[/tex] of upstream crumb [tex](B_U)[/tex], duck [tex](D)[/tex], and downstream crumb [tex](B_D)[/tex] are, respectively,
[tex]x_{B_U} = \left(2.0\dfrac{\rm m}{\rm s}\right) t[/tex]
[tex]x_D = d\,\mathrm m + v_D t[/tex]
[tex]x_{B_D} = 2d\,\mathrm m + \left(2.0\dfrac{\rm m}{\rm s}\right) t[/tex]
where [tex]d[/tex] is the distance (in m) between the duck and either crumb at the start, and [tex]v_D[/tex] is the velocity of the duck relative to the Earth.
To get both breadcrumbs, the duck has to choose between chasing the upstream or downstream crumb first.
• If the upstream crumb is chosen first, then [tex]v_D[/tex] is 2.0 - 1.0 = 1.0 m/s. Find the time it takes for the duck to reach the upstream crumb:
[tex]x_{B_U} = x_D \implies \left(2.0\dfrac{\rm m}{\rm s}\right) t = d + \left(1.0\dfrac{\rm m}{\rm s}\right) t \\\\ \implies t = d \, \mathrm s[/tex]
In this time, the duck covers a distance of
[tex]x_D = d\,\mathrm m + \left(1.0\dfrac{\rm m}{\rm s}\right) (d\, \mathrm s) = 2d \, \mathrm m[/tex]
while the downstream crumb will have traveled a distance of
[tex]x_{B_D} = 2d\,\mathrm m + \left(2.0\dfrac{\rm m}{\rm s}\right) (d \,\mathrm s) = 4d \,\mathrm m[/tex]
putting a total distance of [tex]2d+4d=6d\,\mathrm m[/tex] between the duck and the remaining crumb.
Take the duck's new position to be the new origin. When the duck turns around and travels with the current, its speed [tex]v_D[/tex] will be 2.0 + 1.0 = 3.0 m/s. Then at time [tex]t[/tex], the duck and remaining crumb have position relative to the new origin given by
[tex]x_D' = \left(3.0\dfrac{\rm m}{\rm s}\right) t[/tex]
[tex]x_{B_D}' = 6d \,\mathrm m + \left(2.0\dfrac{\rm m}{\rm s}\right) t[/tex]
Find the time the duck needs to catch up to the downstream crumb:
[tex]x_D' = x_{B_D}' \implies \left(3.0\dfrac{\rm m}{\rm s}\right) t = 6d\,\mathrm m + \left(2.0\dfrac{\rm m}{\rm s}\right) t \\\\ \implies t = 6d \,\mathrm s[/tex]
Then the total time the duck needs to get both crumbs is [tex]d + 6d = 7d \,\mathrm s[/tex].
• If instead the downstream crumb is chased down first, we start with [tex]v_D[/tex] = 3.0 m/s, so that
[tex]x_D = x_{B_D} \implies d\,\mathrm m + \left(3.0\dfrac{\rm m}{\rm s}\right) t = 2d\,\mathrm m + \left(2.0\dfrac{\rm m}{\rm s}\right) t \\\\ \implies t = d \, \mathrm s[/tex]
In this time, the duck covers a distance of
[tex]x_D = d\,\mathrm m + \left(3.0\dfrac{\rm m}{\rm s}\right) (d\,\mathrm s) = 4d \,\mathrm m[/tex]
while the upstream crumb moves
[tex]x_{B_U} = \left(2.0\dfrac{\rm m}{\rm s}\right) (d\,\mathrm s) = 2d \,\mathrm m[/tex]
The distance between the duck and remaining crumb is then [tex]4d-2d=2d\,\mathrm m[/tex]. Now the duck turns around with speed [tex]v_D[/tex] = 1.0 m/s. If the crumb's new position is taken to be the origin, then
[tex]x_{B_U}' = \left(2.0\dfrac{\rm m}{\rm s}\right) t[/tex]
[tex]x_D' = 2d\,\mathrm m + \left(1.0\dfrac{\rm m}{\rm s}\right) t[/tex]
Find the time it takes for the duck to get the last crumb:
[tex]x_{B_U}' = x_D' \implies \left(2.0\dfrac{\rm m}{\rm s}\right)t = 2d\,\mathrm m + \left(1.0\dfrac{\rm m}{\rm s}\right) t \\\\ \implies t = 2d\,\mathrm s[/tex]
Then the duck can get both crumbs in a total of [tex]d+2d=3d\,\mathrm s[/tex].
To get both crumbs in the shortest time, the duck should go after the downstream crumb first. This path over 2 times faster than the other.
if line segment g f = 3.2 ft, which is a possible measure of line segment t s? 1.6 ft 3.0 ft 3.2 ft 4.0 ft\
By applying the relationship of side lengths to interior angles in a triangle, a possible measure of line segment TS is 4.0 ft.
The relationship of sides to interior angles in a triangle.In Geometry, the relationship of side lengths to interior angles in a triangle include the following:
The shortest side length is always opposite of the smallest interior angle.The longest side length is always opposite of the largest interior angle.Based on the above theory, we can logically deduce that angle GF < TS or TS > GF because 42° is greater than 56°.
TS > 3.2 ft.
Therefore, a possible measure of line segment TS is 4.0 ft.
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Complete Question:
In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment TS? 1.6 ft 3.0 ft 3.2 ft 4.0 ft.
How do riders in a Ferris wheel possess Translatory motion but not circular motion?
Answer:
A wheel on a car, however, rotates around the car's axle, so it does have rotational motion. For this example, if you were to pick a single point on the edge of the wheel, you could also say that it has circular motion.
Ten minutes after you stop exercising, your heart rate should be (2 points)
equal to your Heart Rate Reserve
in your Target Heart Rate Zone
less than 50 beats per minute
less than 100 beats per minute
Ten minutes after you stop exercising, your heart rate should be equal to your heart rate reserve
What is Heart Rate Reserve?
This is defined as the heart rate the body decreases to after an exercise session has been done.
This however varies according to age of individuals and is calculated by finding the difference between the maximum and resting heart rate.]
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A diffraction grating used in a spectrometer causes the third-order maximum of blue light with a wavelength of 490 nm to form at an angle of 6.33º from the central maximum (m = 0). What is the separation between the lines of the grating?
The separation between the lines of the grating is 13.33μm.
What is diffraction grating?The diffraction grating is the continuous lines with very minute slits or grating space in mm. It divides light composed of various wavelengths into light components by particular wavelength.
dsinθ = nλ
Substitute n =3, λ =490 x 10⁻⁹ m and angle θ =6.33°, we get
d = [3 x 490 x 10⁻⁹ /sin 6.33°]
d = 13.33 x 10⁻⁶ m
Thus, the separation between the lines of the grating is 13.33μm.
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Consider the soccer ball is kicked toward a goal at a speed of 35 mph and an angle of 25 ° from horizontal, what is the maximum height the ball will reach? Is this height more than a standard soccer goal's height, which is 8 feet from the ground?
(Recall: 1 mile = 1,609 meters and 1 hr = 3,600 s and 1 ft = 0.3048 meters)
The maximum height the ball will reach 7.316 ft. This height is less than a standard soccer goal's height.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion is called the projectile.
Maximum height reached is given by
H = u²sin²θ /2g
where, u = initial velocity, θ is the angle of projection and g is the gravitational acceleration.
Consider the soccer ball is kicked toward a goal at a speed of 35 mph and an angle of 25 ° from horizontal,
Given is the speed 35mph = 35 x 1609/3600 = 15.65 m/s, θ =25 ° and g = 9.81 m/s²
Substituting the values, we get
H = (15.65)² (sin25 °)² / 2 x 9.81
H = 2.23 m
in feet, H = 7.316 ft
Thus, the maximum height is 7.316 ft. This height is less than a standard soccer goal's height, which is 8 feet from the ground.
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Two boxes need to be moved into storage. Jamal and Jude each want to move a box. The force of gravity on both the boxes is 50 N. Jamal is lifting with a force of 60 N, and Jude is lifting with a force of 45 N.
Which best describes the movement of the boxes?
Jamal moved his box to storage, but Jude could not move his.
Jamal and Jude can successfully move each box into storage.
Jamal could not move his box to storage, but Jude could.
Neither Jamal nor Jude could move the boxes into storage.
Answer:
Explanation:
Remark
If both are trying to get the box into storage and they can only use lifting to do it, then Jude won't be able to do it. This assumes they cannot slide the boxes. Jude is not using enough force to overcome gravity so the box will just sit.
On the other hand Jamel is putting enough force to not only lift the box but it will move upwards against gravity. If we ignore that fact, then Jamel will get his box into storage.
Answer: A
1. What is the relationship between mass, weight and gravity?
Answer:
Mass
The kilogram (kg) is the SI unit of mass and it is the almost universally used standard mass unit.
Gravity and weight
Since the acceleration due to the force of gravity (g) equals aproximately 9.8 meters/s2, the weight of an object with a mass of 1 kilogram is 9.8 newtons under standard conditions on the Earth's surface.
Answer:
The mass of an object is a measure of the object's inertial property, or the amount of matter it has in it
The weight of an object is a measure of the force/impact exerted on the object by gravity, or the force needed to support it
The pull of gravity on the earth gives an object a downward acceleration of about 9.8 m/s2.
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