Answers
The initial velocity of the ball is given as 36.0 m/s.
The horizontal component of velocity of ball is given as,
[tex]v_x=v\cos \theta[/tex]The ball is projected vertically, therefore, the angle made by ball is 90 degree.
Plug in the known values,
[tex]\begin{gathered} v_x=(36.0m/s)cos90^{\circ} \\ =(36.0\text{ m/s)(0)} \\ =0\text{ m/s} \end{gathered}[/tex]Therefore, the initial horizontal velocity of ball is 0 m/s.
The vertical component of velocity of ball is given as,
[tex]v_y=v\sin \theta[/tex]Plug in the known values,
[tex]\begin{gathered} v_y=(36.0m/s)\sin 90^{\circ} \\ =(36.0\text{ m/s)(1)} \\ =36.0\text{ m/s} \end{gathered}[/tex]Therefore, the initial vertical velocity of the ball is 36.0 m/s.
Related Questions
what is this math problem Solve for x.
0.5x = 4.5
Answers
if you format it as a fraction, it’s easier to solve.
1/2 * x = 9/2
divide both sides by 1/2
x = 9/2 * 2/1
x = 9
Explanation: 0.5x = 4.5
Divide both sides: 4.5/0.5
Multiply numerator and denominator: x = 45/5
Cross out common factor: x = 9
Sidney's group came up with a design for the seat belt but had to figure out whattype of material to use. They picked two fabrics: one that was very rigid with littlegive and a second fabric that was stretchy. They made the two belts, got somemotorized cars and put action figures into the cars, one car per seat belt design.Then they ran the cars into a wall of the classroom. Predict which belt they choseand why.The stretch seat belt: for every action there is a reaction. The stretch belt letsyou move forward and then you move back again.The non-stretch seat belt: with no seatbelt to stop the driver with the car, thedriver flies free until stopped suddenly by impact on the steering column so thenon-stretch belt keeps the driver from flying free.The non-stretch seat belt holds the driver immobile against the seat as the carcrashed.The stretch seat belt: some stretch in the seatbelts will reduce the averageimpact force by extending the stopping distance of the passenger
Answers
The correct answer is the last one, that is, The strecth seat belt:
_7. What happens to the total resistance of the resistors if they are connected inparallel? A. increases C. decreases B. remains the same D. increases then decreases
Answers
In order to find what happens to the total resistance when resistors are connected in parallel, let's analyze the formula below for the total resistance between two resistors in parallel:
[tex]\begin{gathered} \frac{1}{RT}=\frac{1}{R_1}+\frac{1}{R_2}\\ \\ RT=\frac{R_1R_2}{R_1+R_2} \end{gathered}[/tex]When two resistors are in parallel, they have the same voltage.
That means more current will flow, because there will be current flowing from each resistor and the voltage is the same.
Calculating the total resistance, we will find a smaller resistance than the two resistors used, because with the same voltage, the current is greater.
Therefore the correct option is C.
1)A weight lifter raises a 180 kg barbell to a height of 1.95 m. What is the increase in the potential energy of the barbell? 2)A 20.0 kg rock is on the edge of a 100 m cliff. What is the velocity of the rock just before it hits the grounds when it is pushed off the cliff?
Answers
Question 1.
Given:
Mass of barbell = 180 kg
Height = 1.95 m
Let's find the increase in the potential energy of the barbell.
To find the potential energy, apply the formula:
PE = mgh
Where:
m is the mass = 180 kg
g is acceleration due to gravity = 9.8 m/s²
h is the height = 1.95 m
Input values into the formula and solve:
PE = 180 x 9.8 x 1.95 = 3439.8 J
Therefore, the increase in the potential energy of the barbell is 3439.8 J
ANSWER:
3439.8 J
A force of 585 N is exerted on a 407 kg mass a distance of 13660 km above the surface of a planet having a mass of 7.9E24 kg. Determine the average density of the planet in kg/cubic meter. Derive and express algebraic solution in terms of givens: F, m, mp, alt and G.
Answers
The average density of a planet is given by:
[tex]\rho=\frac{m}{V}[/tex]where m is the mass of the planet and V is its volume. We know the mass of the planet but we don't know its volume, to find it we will need find its radius.
To find the radius of the planet we can use Newton's Law of gravitation:
[tex]F=G\frac{mM}{d^2}[/tex]where G is the gravitational constant, m is the mass of the object, M is the mass of the planet and d is the distance between the planet and the object. Let r be the radius of the planet, and x be the distance from the surface of the planet to the object (x=13660 in this case); then we have:
[tex]\begin{gathered} F=G\frac{mM}{(r+x)^2} \\ (r+x)^2=\frac{GmM}{F} \\ r+x=\pm\sqrt[]{\frac{GmM}{F}} \\ r=-x\pm\sqrt[]{\frac{GmM}{F}} \end{gathered}[/tex]Plugging the values given we have:
[tex]\begin{gathered} r=-13660\times10^3\pm\sqrt[]{\frac{(6.67\times10^{-11})(407)(7.9\times10^{24})}{585}} \\ \text{ Using the positive root we have:} \\ r=5.49\times10^6 \\ \text{ Using the negative root we have:} \\ r=-3.28\times10^7 \end{gathered}[/tex]Since the radius of the planet has to be positive we choose the positive solution.
Now, that we know the radius of the planet we can calculate its volume; assuming the planet is spherical we have that:
[tex]V=\frac{4}{3}\pi r^3[/tex]then we have:
[tex]\begin{gathered} V=\frac{4}{3}\pi(5.49\times10^6)^3 \\ V=6.92\times10^{20} \end{gathered}[/tex]Finally we can calculate the density:
[tex]\begin{gathered} \rho=\frac{7.9\times10^{24}}{6.92\times10^{20}} \\ \rho=11398 \end{gathered}[/tex]Therefore, the average density is 11398 kg/m^3
What is physics and explain elements of physics
Answers
Physics is the branch of science that deals with mass , time , space, energy and their inter-relations .
The application of
Two billiard balls collide elastically ball A has a mass of 1.22 kg and an initial velocity of 0.8 M/S Ball B has a mass of 1.37 KG and an initial velocity of 0 M/S assuming that all of ball A’s is momentum is transferred to ball B after the collision what is the final velocity of Ball B ? *a perfect momentum transfer means that what was moving before the collision will not move after the collision and vice versa.A) 0.377 m/sB) 0.976 m/sC) 0.712 m/sD) 0 m/s
Answers
We will have the following:
[tex]\begin{gathered} (1.22kg)(0.8m/s)+(1.37kg)(0m/s)=(1.22kg)(0m/s)+(1.37kg)v_f \\ \\ \Rightarrow0.976kg\ast m/s=1.37kg\ast v_f\Rightarrow v_f=\frac{0.976kg\ast m/s}{1.37kg} \\ \\ \Rightarrow v_f=\frac{488}{685}m/s\Rightarrow v_f\approx0.712m/s \end{gathered}[/tex]So, the final velocity will be approximately 0.712 m/s.
A crate is at rest on an inclined plane. As the slope increases the crate remains at rest until the incline reaches an angle of 32.7° from the horizontal. At this angle the crate begins to slidedown the ramp.Apply Newton's 1st or 2nd law to each axis of the Free body diagram.
Answers
The free body diagram of the crate can be shown as,
According to free body diagram, the net force acting on the crate is,
[tex]F=mg\sin \theta-f\ldots\ldots\text{ (1)}[/tex]The frictional force acting on the crate can be given as,
[tex]f=\mu N[/tex]According to free body diagram, the normal force acting on the crate is,
[tex]N=mg\cos \theta[/tex]Therefore, the frictional force becomes,
[tex]f=\mu mg\cos \theta[/tex]According to Newton's second law, the net force acting on the crate is,
[tex]F=ma[/tex]Therefore, equation (1) becomes,
[tex]\begin{gathered} ma=mg\sin \theta-\mu mg\cos \theta \\ a=g\sin \theta-\mu g\cos \theta \end{gathered}[/tex]Thus, the net acceleration of the crate can be expressed using Newton's second law as,
[tex]a=g\sin \theta-\mu\cos \theta[/tex]The magnetic field at point P is zero. Findthe distance, r2, from P to the second wire,1₂.I₁ = 4.32 A P------0.831 m1₂ = 7.50 Ar2r₂ = [?] m
Answers
The formula for calculating the magnetic field is
B = μo[(I1/2πR1) - (I2/2πR2)]
B = μo/2π[(I1/R1) - (I2/R2)]
where
B is the magnetic field
μo is the permeability of free space
From the information given,
B = 0
I1 = 4.32
R1 = 0.831
I2 = 7.5
R2 = ?
μo = 4π x 10^-7 Tm/A
Thus,
0 = 4π x 10^-7/2π[(4.32/0.831) - (7.5/R2)]
0 = 4 x 10^-7/2[(4.32/0.831) - (7.5/R2)]
0 = 4 x 10^-7/2(4.32/0.831) - 4 x 10^-7/2(7.5/R2)]
4 x 10^-7/2(7.5/R2)] = 4 x 10^-7/2(4.32/0.831)
7.5/R2 = 4.32/0.831
By cross multiplying,
4.32R2 = 7.5 x 0.831
R2 = (7.5 x 0.831)/4.32
R2 = 1.443 m
Can you compare “simple harmonic motion” & hooks law. For me?
Answers
We will have the following:
We will have that Hook's law describes systems of springs with masses atteched to them and models the nature of the force and position of such masses by the relationshipt between them. Hook's law applies only to spring systems and is linear in nature.
Simple harmonic motion models repetitive movement back and forth through an equilibrium, or central position. Hook's law is one of the multiple instances of simple harmonic motion. Simple harmonic motion not only is able to model srpings, but waves and periodic movements.
A girl holds an arrow in her hands, ready to shoot the arrow at a dragon who is just outside her arrow’s range of 45 meters. The girl then slides down a cliffside, giving her a velocity of 8.5 m/s at an angle of 45 below the horizontal. She points her bow 30 degrees above the horizontal and shoots, the arrow leaves the bow with a velocity of 45 m/s. The girl is 55 meters away from the dragon horizontally. How far above the girl is the dragon? (Assuming the arrow hits.)I already figured out how long it takes for the arrow to reach the dragon (4.72 seconds) but I don’t know how to calculate the distance between the girl and the dragon. Please help!
Answers
First, assume that the arrow leaves the bow with a velocity of 45 m/s above the horizontal with respect to the bow.
Since the bow is moving at 8.5 m/s 45º below the horizontal, find the initial velocity of the arrow with respect to the ground:
[tex]\vec{v}_{AG}=\vec{v}_{AB}+\vec{v}_{BG}[/tex]This equation reads:
The velocity of the arrow with respect to the ground is equal to the velocity of the arrow with respect to the bow plus the velocity of the bow with respect to the gound.
Notice that this is a vector equation. Then, the vertical and horizontal components of the velocities must be added separately:
[tex]\begin{gathered} v_{AG-x}=v_{AB-x}+v_{BG-x} \\ v_{AG-y}=v_{AB-y}+v_{BG-y} \end{gathered}[/tex]Find the vertical and horizontal components of the velocity of the arrow with respect to the bow and the velocity of the bow with respect to the ground:
[tex]\begin{gathered} v_{AB-x}=v_{AB}\cos (\theta) \\ =45\frac{m}{s}\cdot\cos (30º) \\ =38.97\frac{m}{s} \end{gathered}[/tex][tex]\begin{gathered} v_{AB-y}=v_{AB}\sin (\theta) \\ =45\frac{m}{s}\sin (30º) \\ =22.5\frac{m}{s} \end{gathered}[/tex]Similarly, for the velocity of the bow with respect to the ground:
[tex]\begin{gathered} v_{BG-x}=6.01\frac{m}{s} \\ v_{BG-y}=-6.01\frac{m}{s} \end{gathered}[/tex]Then, the vertical and horizontal components of the initial velocity of the arrow with respect to the ground, are:
[tex]\begin{gathered} v_{AG-x}=38.97\frac{m}{s}+6.01\frac{m}{s}=44.98\frac{m}{s} \\ \\ v_{AG-y}=22.5\frac{m}{s}-6.01\frac{m}{s}=16.49\frac{m}{s} \end{gathered}[/tex]Use the horizontal component of the velocity to find how long it takes for the arrow to travel a horizontal distance x of 55 meters. Then, use that time to find the vertical position of the arrow.
Since the horizontal movement of the arrow is uniform, then:
[tex]v_{AG-x}=\frac{x}{t}_{}[/tex]Isolate t and substitute x=55m, v_{AG-x}=44.98 m/s:
[tex]\begin{gathered} t=\frac{x}{v_{AG-x}} \\ =\frac{55m}{44.98\frac{m}{s}} \\ =1.2227s \end{gathered}[/tex]The vertical motion of the arrow is a uniformly accelerated motion. Then, the vertical position is given by:
[tex]y=v_{AG-y}t-\frac{1}{2}gt^2[/tex]Replace v_{AG-y}=16.49 m/s, t=1.2227s and g=9.81 m/s^2 to find the vertical position of the arrow when the horizontal position is 55 meters. This matches the elevation of the dragon with respect to the girl when the girl shoots:
[tex]\begin{gathered} y=(16.49\frac{m}{s})(1.2227s)-\frac{1}{2}(9.81\frac{m}{s^2})(1.2227s)^2 \\ =12.829\ldots m \\ \approx12.8m \end{gathered}[/tex]Therefore, the dragon is 12.8 meters above the girl when the arrow is shoot.
which Vector goes from 5, 5 to 4, 0
Answers
The required vector is î + 5ĵ
Those physical quantities that have magnitude, as well as direction, are represented by a Vector. Some examples of Vector quantities are Force, Acceleration, Velocity, and Torque.
According to the given information, we represent the points in vector form,
The 1st vector is [tex]R_{1}[/tex] = 5î + 5ĵ
And the Second Vector is [tex]R_{2}[/tex] = 4î
Now, it is given that the required vector goes from 5,5 to 4,0.
So, the required vector is R,
Thus, R = (5-4)î + (5-0)ĵ
R = î + 5ĵ
Hence, the required vector is î + 5ĵ
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Answer:
Vector B
Explanation:
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BRAINLIEST!!!! AND 100 POINTS!!!!!!
What type of energy transfer is shown in this image?
A. electrical to mechanical
B. chemical to electrical
C. electrical to chemical
D. chemical to mechanical
Answers
Answer:
The Correct Answer Is b.
The melting point of ethyl alcohol is -129 F. What is the Celsius reading?
Answers
We are asked to convert -129 F to Celsius. To do that we will use the following formula:
[tex]C=\frac{5}{9}(F-32)[/tex]Where:
[tex]\begin{gathered} C=\text{ reading in Celsius} \\ F=\text{ reading in Fahrenheit} \end{gathered}[/tex]Now we plug in the reading in Fahrenheit:
[tex]C=\frac{5}{9}(-129-32)[/tex]Solving the operations:
[tex]C=-89.44\text{Celsius}[/tex]Therefore, the Celsius reading is -89.44°C.
How would you go about answering this question?
Answers
The new angular velocity becomes 0.286 rev/s.
Given parameters:
Mass of the marry go round: M = 120 kg.
Radius of the marry go round: r = 1.80 m.
Mass of the boy: m = 27 kg.
Initial angular velocity of the marry go round: ω₁ = 0.350 rev/s.
Final angular velocity of the marry go round: ω₂ = ?
From the principle of conservation of angular momentum;
Initial angular momentum = final angular momentum
⇒ 1/2 Mr²ω₁ = 1/2( M+m)r²ω₂
⇒ ω₂ = Mω₁/(m+M)
= 120×0.35/(120+27) rev/s
= 0.286 rev/s.
So, final angular velocity of the marry go round: ω₂ = 0.286 rev/s.
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What is the main purpose for learning about significant figures in science and/or technology courses? Give a detailed answer without plagiarism.
Answers
The significant figure of a value or measurement is the number of important digits that it contains
The main purpose for learning about significant figures in science and/or technology courses is precision of measurements.
In science and technology experiments and reseaches, we always want to ensure that measured values are as close to the true values as possible. This is because any deviation from the true value can invalidate the result of the experiment. Also, errors due to repeated approximations can have cummulative effects on the experimental results.
Therefore, the knowledge of significant figures is useful in science and technology to be able to record values of experimental measurements as close as possible to the actual value.
Read each scenario below. Then select the answer that best completes each sentence.The power from a car engine is more than the power of a bicycle because a car engine does the same amount of work in time.Raul and Katrina equally shared a frozen lunch but heated each portion in two different microwaves. Katrina’s lunch was warm in one minute while Raul’s lunch took two minutes. The power used by Raul’s microwave must be the power used by Katrina’s because his microwave took time to do the same amount of work.
Answers
a)The power from a car engine is more than the power of a bicycle because a car engine does the same amount of work in less time.
b)Raul and Katrina equally shared a frozen lunch but heated each portion in two different microwaves. Katrina’s lunch was warm in one minute while Raul’s lunch took two minutes. The power used by Raul’s microwave must be the less than the power used by Katrina’s because his microwave took more time to do the same amount of work.
Explanation
work:work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement
so
Step 1
a)The power from a car engine is more than the power of a bicycle because a car engine does the same amount of work in less time.
power is given by:
[tex]P=\frac{\text{work done}}{time\text{ taken}}[/tex]so, we can see the time is in the denominator, so as the car engine does the same work in less time, the power of the engine is more than the power of a bicycle
Step 2
Raul and Katrina equally shared a frozen lunch but heated each portion in two different microwaves. Katrina’s lunch was warm in one minute while Raul’s lunch took two minutes. The power used by Raul’s microwave must be the less than the power used by Katrina’s because his microwave took more time to do the same amount of work.
again, as the time is in the numerator
to more times, less power , so
[tex]\begin{gathered} P_{katr\in a}=\frac{W_{katr\in a}}{\text{time taken}} \\ as\text{ the shares ase equal , the work neccesary to warm it is the same, so} \\ W_{katr\in a}=W_{raul} \\ so \\ P_{katr\in a}=\frac{W_{katr\in a}}{\text{time taken}}=\frac{W_{katr\in a}}{1} \\ Praul=\frac{W_{katr\in a}}{\text{time taken}}=\frac{W_{katr\in a}}{\text{2}} \\ P_{raul}=\frac{W_{katr\in a}}{\text{2}}=\frac{P_{katr\in a}}{2} \\ P_{raul}=\frac{P_{katr\in a}}{2} \end{gathered}[/tex]therefore,
the answer is
Raul and Katrina equally shared a frozen lunch but heated each portion in two different microwaves. Katrina’s lunch was warm in one minute while Raul’s lunch took two minutes. The power used by Raul’s microwave must be the less than the power used by Katrina’s because his microwave took more time to do the same amount of work.
I hope this helps you
Answer:
1. more than
2. less
3. less than
4. more
Explanation:
The diagram below shows a block on a horizontal, frictionless surface. A 100.-newton force acts on the block at an angle of 30.0° above the horizontal. 100. N F 30.0° Block 77 Frictionless Surface What is the magnitude of force F, to the nearest tenth of a newton, if it establishes equilibrium?
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
Which statement describes the sign of gravitational force?(1 point)
A Gravitational force is negative because it is attractive.
B Gravitational force is negative because it is repulsive.
C Gravitational force is positive because it is attractive.
D Gravitational force is positive because it is repulsive
Answers
The statement that describes the sign of gravitational force is as follows: Gravitational force is negative because it is attractive (option A).
What is gravitational force?Gravitational force is a very long-range, but relatively weak fundamental force of attraction that acts between all particles that have mass. It is believed to be mediated by gravitons.
According to the Newton’s law of gravitation, which explains the gravitational force, every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
The negative sign in the gravitational force equation indicates that the gravitational force interaction is always attractive.
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An object is placed 3.00 cm in front of a concave lens with a focal length of 5.00 cm. Find the image distance.
Answers
ANSWER:
-1.88 cm
STEP-BY-STEP EXPLANATION:
The situation would be the following:
Given:
Object distance (u): -3 cm
Focal distance (f): -5 cm
Using the lens formula, we calculate the distance of the image:
[tex]\begin{gathered} \frac{1}{v}-\frac{1}{u}=\frac{1}{f} \\ \\ \text{We replacing} \\ \\ \frac{1}{v}-\frac{1}{-3}=\frac{1}{-5} \\ \\ \frac{1}{v}\cdot \:15v-\frac{1}{-3}\cdot \:15v=\frac{1}{-5}\cdot \:15v \\ \\ 15+5v=-3v \\ \\ 5v=-3v-15 \\ \\ 8v=-15 \\ \\ v=-\frac{15}{8} \\ \\ v=-1.88\text{ cm} \end{gathered}[/tex]The image distance is -1.88 cm
Answer:
Explanation:
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What happens to parallel light rays that pass through a thin convex lens?They remain parallel. ⊝They all bend, deflecting in the same direction. ⊝They converge at the focal point on the opposite side. ⊝They diverge as though originating from the same-side focal point.
Answers
Convex and concave lenses deviate the trajectory of light rays that pass through them, as the following diagram shows:
Therefore, the answer is:
[tex]\text{They converge at the focal point on the opposite side.}[/tex]A cord is wrapped around the rim of a wheel 0.230 m in radius, and a steady pull of 37.0 N is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 4.60 kg⋅m2.
Answers
The angular acceleration of the wheel is 1.85m/s²
Acceleration is the rate at which speed and direction of velocity vary over time. Something is said to be accelerating when it starts to move faster or slower.
We are given that,
The pull force of the wheel = τ = 37.0N
The radius of the wheel = r = 0.230m
The moment of inertia = I = 4.60kg-m²
Here the angular acceleration = α = ?
The formula for angular acceleration can be given as,
α = τ /I
α = [(37.0N)×( 0.230m)]/4.60kg-m²
α = 1.85 m/s²
Hence , the angular acceleration of the wheel would be 1.85m/s²
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What is the power of a heater that has resistance 48 and operates at 240v
Answers
Given
Resistance of the heater, R=48 ohm
Voltage , V=240 V
To find
The power of the heater
Explanation
The power is given by
[tex]P=\frac{V^2}{R}[/tex]Putting the values,
[tex]P=\frac{240^2}{48}=1200\text{ W}[/tex]Conclusion
The power is 1200 W
Tsunami waves flood coastal and inland areas and affect coastal life. Which of these properties of tsunami waves most contributes to the flooding? The low friction of waves at the shoreline The high friction of waves at the shoreline The high amplitude of the waves at origination The huge volume of water that surges across shore
Answers
Take into account that the flooding produced by Tsunami waves has a great level of energy.
Moreover, consider that the amplitude of the waves determines the energy of the waves and then, the flooding is produced primarily by the high amplitude of the waves at origination.
Yea I think and this the other day and
Answers
Given:
The radius of the tank is: R = 7.5 feet.
Volume rate is: dV/dt = 60 cubic feet per hour.
h = 2.8 feet.
To find:
V, R, h, dV/dt, dR/dt, dh/dt
Explanation:
The given expression for volume is:
[tex]V=\pi h^2(R-\frac{1}{3}h)[/tex]Substituting the values in the above equation, we get:
[tex]V=3.14\times2.8^2\times(7.5-\frac{1}{3}\times2.8)=161.74\text{ cubic feet}[/tex]The volume is 161.74 cubic feet.
The radius of the tank is given as: R = 7.5 feet
The height of the water in the tank is given as: h = 2.8 feet
The volume rate of water is given as: dV/dt = 60 cubic feet per hour
As the radius of the tank is constant, its derivative will be zero. Thus, dR/dt = 0.
dh/dt can be calculated by differentiating the given volume equation with respect to time as:
[tex]\begin{gathered} \frac{dV}{dt}=\pi^2\times\frac{dh^2}{dt}\times(R-\frac{1}{3}\frac{dh}{dt}) \\ \\ \frac{dV}{dt}=\pi^2\times\frac{2dh}{dt}\times(R-\frac{1}{3}\frac{dh}{dt}) \\ \\ \frac{dV}{dt}=2\pi^2R\times\frac{dh}{dt}-\frac{2\pi^2}{3}\times(\frac{dh}{dt})^2 \end{gathered}[/tex]Substituting the values in the above equation, we get:
[tex]\begin{gathered} 60=2\pi^2\times7.5\times\frac{dh}{dt}-\frac{2\pi^2}{3}\times(\frac{dh}{dt})^2 \\ \\ 60=148.044\frac{dh}{dt}-6.580(\frac{dh}{dt})^2 \\ \\ 6.580(\frac{dh}{dt})^2-148.044\frac{dh}{dt}+60=0 \end{gathered}[/tex]Solving the above quadratic equation, we get:
dh/dt = 0.412 ft/hr or dh/dt = 22.086 ft/hr.
Final answer:
V = 161.74 cubic feet
R = 7.5 feet
h = 2.5 feet
dV/dt = 60 cubic feet per hour
dR/dt = 0
dh/dt = 22.086 ft/hr or 0.412 ft/hr
Consider a satellite in a circular geostationary orbit about the Earth, meaning it orbits above a fixed point on the Earth's equator.
You may use the following values in your calculations:
- Mass of the Earth, M is 6.0x1024kg;
- Gravitational constant G, is 6.67 x 10-11 N m2 kg-2
- Radius of the Earth, r is 6400 km or 6.4 x 106 m. At what distance from the centre of the Earth does the satellite orbit?
Answers
Answer:
m V^2 / R = G M m / R^2 balancing forces
R = G M / V^2 (I)
V = 2 π R / (24 * 3600) to complete 1 rev in 24 hrs
V = π R / (12 * 3600) = R * 7.27E-5
V^2 = R^2 * 5.29E-9
R = G M / (R^2 * 5.29E-9) using (I)
R = (G M / 5.29E-9)^1/3
R = (6.67E-11 * 6.0E24 / 5.29E-9)^1/3
R = (66.7 * 6.0 / 5.29)^1/3 E7
R = 4.22E7 meters = 42200 km about 7 earth radii
A magnet that retains its magnetism and does not need to be “recharged” is called a(n) ____.
a. electromagnet b. permanent magnet c. temporary magnet d. voltage regulation
Answers
Answer:
B
Explanation:
permanent magnet
At what speed must a satellite be travelling so that it shall remain in a circular orbit 1683049 m above the surface of the Earth. Take the mass of the Earth as 6.0 × 1024 kg
Answers
Given data
*The given mass of the Earth is M_e = 6.0 × 10^24 kg
*The distance above the surface of the Earth is r = 1683049 m
The formula for the speed of the satellite must be traveling so that it shall remain in a circular orbit is given as
[tex]v=\sqrt[]{\frac{GM_e}{r}}[/tex]Substitute the known values in the above expression as
[tex]\begin{gathered} v=\sqrt[]{\frac{(6.67\times10^{-11})(6.0\times10^{24})}{(1683049)}} \\ =1.54\times10^4\text{ m/s} \end{gathered}[/tex]Hence, the speed of the satellite must be traveling so that it shall remain in a circular orbit is v = 1.54 × 10^4 m/s
If it takes 0.8 s for your voice to be heard at a distance of 272 m, what is the temperature of the air?
Answers
V = 331 + 0.59 Tc
v= d/t = 272 / 0.8 = 340 m/s
340 = 331 + 0.59 Tc
340 - 331 = 0.59 TC
9 = 0.59 Tc
9/0.59 = Tc
Tc = 15.25°C
An object is spun around in a circle of radius 6.0m with a frequency of50 Hz.a. What is the period of its rotation?b. What is its velocity?c. What is its acceleration?
Answers
From the information given,
radius = 6
frequency = 50
a) Period, T is the reciprocal of frequency. This means that
T = 1/frequency
Thus,
T = 1/50 = 0.02
Period = 0.02 s
b) The formula for calculating velocity for an object in circular motion, V is expressed as
V = 2pi x radius/T
By substituting pi = 3.14, radius = 6 and T = 0.02 into the formula,
V = 2 x 3.14 x 6/0.02
V = 1884
Velocity is 1884 rad/s
c) The formula for calculating centripetal acceleration is expressed as
A = V^2/radius
Substituting V = 1884 and radius = 6 into the formula,
A = 1884^2/6 = 591576
Acceleration = 591576 rad/s^2