Answer:
1) θ = 45, b) R₄₀ = R₅₀ = (v₀² / g) 0.985, R₂₅ = R₆₅ = (v₀² / g) 0.766
3) θ = 90º, d) y₂₅ = (v₀ / 2g) 0.179, y₄₅ = (v₀ / 2g) 0.5, y₆₅ = (v₀ / 2g) 0.821
Explanation:
This is a projectile throwing exercise, let's use the relations
R = [tex]\frac{v_o^2 \ sin \ 2\theta }{g}[/tex]
1) the angle for a maximum reach (R) is θ = 45
R = v₀²/g
2) let's compare the scopes
θ = 25º
R₂₅ = (v₀² /g) sin 2 25
R₂₅ = (v₀² /g) 0.766
θ = 65º
R₆₅ = (v₀² / g) sin 2 65
R₆₅ = (v₀² / g) 0.766
θ = 40º
R₄₀ = (v₀²/g) sin 2 40
R₄₀ = (v₀²/ g) 0.985
θ = 50
R₅₀ = (v₀²/g) sin 2 50
R₅₀ = (v₀² / g) 0.985
we can see that it has the same scope
R₄₀ = R₅₀ = (v₀² / g) 0.985
R₂₅ = R₆₅ = (v₀² / g) 0.766
3) the maximum height is reached when the vertical speed is zero
[tex]v_y^2 = v_{oy}^2 - 2 g y[/tex]
v_y = 0
y = [tex]\frac{v_{oy}^2}{2g}[/tex]
y = (v₀² /2g) ( sin θ)²
therefore the height is maximum for θ = 90º
4) θ = 25º
y₂₅ = (v₀ / 2g) (sin 25)²
y₂₅ = (v₀ / 2g) 0.179
θ = 45º
y₄₅ = (v₀ / 2g) (sin 45)²
y₄₅ = (v₀ / 2g) 0.5
θ = 65º
y₆₀ = (v₀ / 2g) (sin 65)²
y₆₅ = (v₀ / 2g) 0.821
5) It is appreciated that as the launch angle increases the height increases, the maximum is when the movement is vertical
For the launch angle, the reach has a maximum for the angle of 45º, this is due to the symmetry of the sine function around this value.
A 5-kg box is pushed with a horizontal force of 100 N across a floor. What power output is neede d to push the box a distance of 60 meters in 2 minutes? (A) 10 W (B) 25 W (C) 30 W (D) 50 W
Answer:
(D) 50 W
Explanation:
Given the following data;
Mass = 5 kg
Force = 100 N
Distance = 60 N
Time = 2 minutes
Conversion:
1 minute = 60 seconds
2 minutes = 60 * 2 = 120 seconds
To find the power output required to push the box;
First of all, we would determine the work done in pushing the box.
Work done = force * distance
Workdone = 100 * 60
Workdone = 6000 Joules
Next, we find power output;
Power = workdone/time
Power = 6000/120
Power = 50 Watts
According to Archimedes' principle, when will an object float in water?
A. When its volume is less than the volume of water it displaces
B. When its weight is equal to the buoyant force exerted by the water
C. When its density is greater than the density of water
D. When its weight is greater than the weight of water it displaces
Answer:
Its B
Explanation:
a p e x
A 4.04 kg block slides down a smooth, frictionless plane having an inclination of 30◦. The acceleration of gravity is 9.8 m/s^2. The acceleration of the plane is 4.9
What is the magnitude of the perpendicular force that the block exerts on the surface of the plane at a distance of 2.37 m down the incline?
Answer in units of N.
Answer:
Explanation:
What a lot of words to solve such a simple problem! The perpendicular force is the one that is pushing straight down on the plane. There is no side to side movement here or friction acting on this dimension at all. Perpendicular force is the same as the weight of the block. That's it! Perpendicular force is also normal force which is the same thing as weight:
w = mg so
w = (4.04)(9.8) and
w = 4.0 × 10¹ N
The magnitude of the perpendicular force that the block exerts on the surface of the plane at a distance of 2.37 m down the incline plane is 34.3N
The given parameter are:
mass M = 4.04 kg
Angle of inclination = 30 degree
Acceleration due to gravity = 9.8 m/s^s
To calculate the magnitude of the perpendicular force that the block exerts on the surface of the plane at a distance of 2.37 m down the plane, The force will be the weight of the block which is equal to the normal reaction.
Normal N = mgcosФ
N = 4.04 x 9.8 x cos30
N = 34.28 Newtons
At all point in the plane, the magnitude of the perpendicular force that the block exerts on the surface of the plane will be the same.
Therefore, the magnitude of the perpendicular force that the block exerts on the surface of the plane at a distance of 2.37 m down the incline plane is 34.3N
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Một dây dẫn đặt trong không khí có dòng điện I = 12A chạy qua, được gấp thành hình vuông cạnh a = 10cm. Xác định vectơ cường độ từ trường tại tâm O của hình vuông.
Answer:
The net magnetic field ta the center of square is[tex]1.36\times10^{-4} T[/tex].
Explanation:
Current, I = 12 A , side ,a = 10 cm = 0.1 m
Let the magnetic field due to the one side is B.
The magnetic field is given by
[tex]B = \frac{\mu o}{4\pi}\times \frac{I}{r}\times \left (Sin A +Sin B \right )\\\\B = 10^{-7}\times \frac{12}{0.05}\times \left ( sin 45 + sin 45 \right )\\\\B = 3.4\times 10^{-5} T[/tex]
Net magnetic field at the center of the square is
B' = 4 B
[tex]B'= 4\times 3.4\times 10^{-5}\\\\B' = 1.36\times10^{-4} T[/tex]
An average 1.50 V Alkaline AA battery has 9,360 J of stored energy. If the battery is placed in a toy that requires 2.00 amperes of current to operate, how many minutes will the battery last before it runs out of energy?
Answer:
52 minutes
Explanation:
Given the following data;
Voltage = 1.5 V
Current = 2 Amperes
Energy = 9360 J
To find how many minutes will the battery last before it runs out of energy;
First of all, we would determine the power rating of the toy
Power = current * time
Power = 2 * 1.5
Power = 3 Watts
Next, we find the time;
Energy = power * time
9360 = 3 * time
Time = 9360/3
Time = 3120 seconds
To convert to minutes;
60 seconds = 1 minute
3120 seconds = 3120/60 = 52 minutes
In the Vector Addition Lab, the following data was collected for determining the displacement from the door of the Physics classroom to another location in the building: 2 m, West; 14.0 m, South; 25.0 m, East; 11.0 m, North; and 2 m, West. The magnitude of the resultant displacement from the physics classroom to the assigned location is closest to ___ meters. (Round to the nearest integer.)
Answer:
21 m
Explanation:
Since the displacement from the door is 2 m West, we have our vector as -2i. The vector representing 14.0 m South is -14.0j. The vector representing 25.0 m East is 25.0i. The vector representing 11.0 m North is 11.0j. And, the vector representing 2.0 m West is -2.0i.
So, to get our position vector at the other location, we add all the vectors together.
So, r = -2i + (-14.0j) + 25.0i + 11.0j - 2i
= -4i + 25.0i - 14.0j + 11.0j
= 21.0i -3j m
Now, if we assume the position vector for the door is at the origin, we have r₀ = 0i + 0j m
So, our displacement from the door is r - r₀ = 21.0i - 3.0j - (0i + 0j) = 21.0i - 3.0j
So, the magnitude of the resultant displacement |r - r₀| = √(21.0² + 3.0²)
= 3.0√(7.0² + 1)
= 3.0√(49 + 1)
= 3.0√50
= 3.0 × 7.0711
= 21.2
≅ 21 m to the nearest integer
how do i get a negative cube when i calculate density
Answer:
density should always be positive, you must have missed a sign somewhere
the molar mass of a gas is (blank)
The molar mass of a gas is molecular
⇒The molecular weight molar mass of any gas is the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation.
Escriba la cantidad que representan los siguientes expresiones, dada en
notación cientifica.
a) 7.1 x 10
6) 2.3 x 103
C) 1.56 10
d) 4. 19. 4. 104
Answer:
Comencemos con la primera:
si tenemos algo como:
7.1*10^n
Simplemente lo que tenemos que hacer es:
si n es positivo, movemos n veces el punto para la derecha, si no tenemos dígitos, completamos con ceros.
si n es negativo, movemos n veces el punto a la izquierda.
a) 7.1*10
aca tenemos n = 1
entonces movemos una vez el punto a la derecha:
7.1*10 = 71. = 71
b) 2.3*10^3
aca n = 3, entonces movemos el punto 3 veces a la derecha:
2.3*10^3 = 23__.
Tenemos dos huecos ahí, los cuales serán completados con ceros, entonces:
2.3*10^3 = 2,300. = 2,300
c) 1.56*10
n = 1, entonces movemos el punto una vez a la derecha:
1.56*10 = 15.6
d) 4.10^4
acá tenemos n = 4
entonces movemos el punto 4 veces a la derecha, recordar que debemos completar con ceros:
4.10^4 = 40,000. = 40,000
A 0.2 kg block sliding on a horizontal table slows down from 25 m/s to 20 m/s. How much energy does the block lose due to friction?
Answer:
the kinetic energy lost due to friction is 22.5 J
Explanation:
Given;
mass of the block, m = 0.2 kg
initial velocity of the block, u = 25 m/s
final velocity of the block, v = 20 m/s
The kinetic energy lost due to friction is calculated as;
[tex]\Delta K.E= K.E_f - K.E_i\\\\\Delta K.E= \frac{1}{2}mv^2 - \frac{1}{2}mu^2\\\\\Delta K.E= \frac{1}{2}m(v^2 -u^2)\\\\\Delta K.E= \frac{1}{2} \times 0.2 (20^2 - 25^2)\\\\\Delta K.E= -22.5 \ J[/tex]
Therefore, the kinetic energy lost due to friction is 22.5 J
Answer:
22.5 J
Explanation:
It loses the difference in kinetic energy between the starting and ending speeds and that is (1/2)(M)(V1)^2 - (1/2)(M)(V2)^2 = (1/2)(M)((V1)^2 -(V2)^2) = (1/2)(0.2 kg)((25)^2 - (20)^2) = 22.5 Joules.
When using the max out method to determine muscular strength, you must first do a warm-up set and a complete set before attempting your one rep max.
Answer:
True
Explanation:
I took the quiz and got it right.
TRUST
The "max out" method, also known as the "1RM" (One Repetition Maximum) method, is commonly used in strength training to determine the maximum amount of weight an individual can lift for a particular exercise.
The purpose of this method is to assess muscular strength accurately. While it is essential to perform warm-up sets to prepare the body for intense lifting, the process of determining the 1RM involves a specific protocol:
Warm-up Sets: Before attempting the 1RM, it is crucial to warm up the muscles and joints properly. Warm-up sets are typically performed with lighter weights and higher repetitions to gradually prepare the body for the heavier load.
Complete Sets: After the warm-up sets, the individual performs one or more "complete sets" with progressively heavier weights, but not at maximal effort. These sets help acclimate the body to heavier loads and prepare the nervous system for the upcoming maximal lift.
1RM Attempt: Once adequately warmed up and prepared, the individual makes an attempt to lift the heaviest weight possible for one repetition. It is essential to have a spotter or a qualified trainer to ensure safety during this maximal effort lift.
Rest: After the 1RM attempt, it is essential to allow sufficient rest and recovery, as attempting maximal lifts can be physically and mentally demanding.
It's important to note that determining 1RM carries a higher risk of injury compared to typical strength training. It's best to perform 1RM assessments under the guidance of a qualified trainer or coach who can provide proper instruction and ensure safety throughout the process. Additionally, the 1RM should be assessed periodically, as it can change over time with training and adaptation.
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Calculate the equivalent resistance of the following circuit:
Req =
Answer:
12/11 Ω isvthe equivalent resistance of the circuit.
Explanation:
Refer the attachment.While driving in your car you notice that your car's speedometer is not working, thus being a clever physics student you deduce the speed of the car from its rev meter. If the radius of the car is 35 cm and the rev meter reading is 800 rpm. What is the linear velocity of the car?
Answer:
105571.2 m/s
Explanation:
Using the formula connecting linear and angular velocity;
V = rω
r = radius of the circular path
ω = angular velocity
Since
1 rpm = 2π60 rad/s
800 rpm = 800 * 2π60 rad/s = 301632 rad/s
Substituting values;
V = 35/100 * 301632 rad/s
V= 105571.2 m/s
A train increases speed from 10 m/s to 20 m/s. What is the average speed while increasing the speed? And how far dies it travel while increasing the speed?
Explanation:
average speed =(first velocity + second velocity)/2
=(10 +20)/2=15m/s
distance=average speed × time
= 15 × t ( but time not given)
electromotive force in a circuit;
A) causes free electrons to flow
B) increases the circuit resistance
C) maintains circuit resistance
D) it needed to make the circuit complete
Answer:
A causes free electrons to flow
Explanation:
The amount of force that causes electrons to flow in a conductor is called electromotive force.
What is the slope of the line plotted below?
Answer:
To find the slope, we need to have co-ordinates of atleast 2 points lying on the line.
In this case, the 2 points are
(-3,1) and (2,-2)
To find the gradient we put in the following rule :
Rise / Run = (y2 - y1) / (x2-x1) = (-2-1) / (2+3) = -3 /5
Explanation:
What would be the path of an object thrown in the air if there was no gravity?
A) It would travel horizontally to the Earths surface
B) It would travel in a curved path.
C) It would travel vertically down toward the Earth
D) It would travel in a straight line.
Answer:
What would be the path of an object thrown in the air if there was no gravity?
the answer is D
A diving company is looking for a shipwreck 35 m below the surface of the ocean. The command ship locates the wreck at 55 degrees South of West at an angle of depression of 18 degrees reference the surface. The command ship notifies the diver, who is located 27 degrees South of East at an angle of depression of 30 degrees. How far must the diver travel to arrive at the wreck?
Answer:
The distance between the diver and the shipwreck is approximately 130.76 m
Explanation:
The depth of the shipwreck below the surface of the water = 35 m
The location of the wreck = 55° South of West
The angle of depression of the wreck = 18°
The location of the diver = 27° South of East
The angle of depression of the diver = 30°
The distance of the wreck from the ship = 35 m/(sin(18°)) ≈ 113.26 m
The horizontal distance of the wreck from the ship = 35 m/(sin(18°)) × (cos(18°)) ≈ 107.72 m
The x-coordinate of the shipwreck, x₁ = 107.72 m × cos(55°) ≈ 61.79
The y-coordinate of the shipwreck, y₁ = 107.72 m × sin(55°) ≈ -88.24
The z-coordinate of the shipwreck, z₁ = -35
The distance of the diver from the ship = 35 m/(sin(30°)) = 70 m
The horizontal distance of the diver from the ship = 70 m × cos(30°) ≈ 60.62 n
The x-coordinate of the diver from the ship, x₂ = -60.62 m × cos(27°) ≈ -54.013
The y-coordinate of the diver from the ship, y₂ = 60.62 × sin(27°) ≈ -27.52
The z-coordinate of the diver from the ship, z₂ = -35
The distance between the diver and the shipwreck, 'd', is given by the distance between two points given the x, y, z coordinates as follows;
d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
Therefore, we have;
d = √((61.79 - (-54.013))² + (-88.24 - (-27.52))² + (35 - 35)²) ≈ 130.76
The distance between the diver and the shipwreck, d ≈ 130.76 m.
CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIEST!!!!
A 7000 N braking force is used to slow a car down. The car was traveling at 25 m/s before the
brakes were applied and was traveling at 5 m/s after 6 seconds. What is the mass of the car? (ANS:
2100 kg)
Answer:
the answer is already there lol
Explanation:
Answer:
answer is there you can see from there lol
Explanation:
hey everyone
what is optics??
Explanation:
Optics is a branch of physics that is the study of light and vision. ... The branch of physics dealing with the nature and properties of electromagnetic energy in the light spectrum and the phenomena of vision. In the broadest sense, optics deals with infrared light, visible light, and ultraviolet light.
What is the sum of a systems potential and kinetic energy is equal to?
a. Total Energy
b. Mechanical Energy
c. Thermal Energy
d. Hyper Energy
Answer:
Explanation:
TE = KE + PE which is total energy available to a system is equal to its potential energy plus its kinetic energy, and that total energy will remain throughout the entire "trip", whatever it might be. So a is your answer.
Will Give Brainlist
Check pic for question
Answer:
D: 80v is the anwser to the question
Impulse is defined as a change in what?
a. Velocity
b. Direction
c. Inertia
d. Momentum
Convergent boundaries are responsible for
Answer:
A
Explanation:
The plate collisions that occur in these areas can produce earthquakes, volcanic activity, and crustal deformation.
hope it helps you
[tex]what \: is \: matter \: \: \: {?} [/tex]
Answer:
matter is any substance that has mass and takes up space by having volume.
Explanation:
Matter is anything that has a mass and it takes up space or has a volume .
matters are made up many atoms or molecules .
hope it is helpful to you
stay safe, happy and healthy
Par is the expected number of strokes that it should take you to make it to the target in golf. O True O False
How independent are we on technology?
Technology makes us feel more alone because we are more dependent on social media connections than real life connections. Simply put, technology-independent architecture means not being biased towards any particular platform or software language.
Answer:
you can check out any time you like. But you don't, do you? There's one area where technology has surely encouraged a truer and more heartening personal freedom. According to Gallup, a record 42 percent of Americans now identify as politically independent.
Mrs. Paul and Dr. Mykannen ride a tandem bike on the beach. They ride along the beach for about 455 meters. Their final velocity is 5.50 m/s. How long did they ride for?
Answer:
Time = 80.91 seconds
Explanation:
Given the following data;
Velocity = 5.50 m/s.
Distance = 445 meters
To find the time;
Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.
Mathematically, velocity is given by the equation;
[tex]Velocity = \frac{distance}{time}[/tex]
Substituting into the formula, we have;
5.5 = 445/time
Time = 445/5.5
Time = 80.91 seconds
Do only number 4 and thank
measure the diameter of a thin wire using only a ruler and a test tube
Answer:
The screw gauge is an instrument used for measuring accurately the diameter of a thin wire or the thickness of a sheet of metal. It consists of a U-shaped frame fitted with a screwed spindle which is attached to a thimble.
Explanation:
Measure the length of the coil with the help of a meter scale. The thickness of the wire can be found by dividing the length of the coil by the number of turns. Measure the diameter with callipers. Place an electrical wire between the jaws of a set of Vernier callipers. Slide the movable jaw around the cable without compressing the insulation and read the measurement where the line from the moving indicator meets the stationary scale for a diameter.