Eddie's initial velocity as he left the ramp is calculated as 28.61 m/s
Explanation:This physics problem involves two-dimensional motion or projectile motion. We can solve it by using the principles of conservation of energy and kinematics. The final horizontal velocity (vxf) can be calculated using the final velocity (v) and the angle (θ) below the horizontal through the formula vxf = v * cos(θ), which in this case gives us 33 * cos(30°) = 28.6 m/s. Since there's no horizontal acceleration involved in Eddie's jump, the initial horizontal velocity (vxi) equals the final horizontal velocity (vxf), hence vxi = 28.6 m/s.
Now, we can use the horizontal displacement (Δx) and vxi to calculate the total time of flight using the formula Δx = vxi * t, so the time of flight (t) = Δx / vxi = 72.1 m / 28.6 m/s = 2.52 s. Finally, using the time of flight, final vertical velocity (vyf), and the acceleration due to gravity (g), we can find the initial vertical velocity (vyi) using the formula vyf = vyi + g * t. Substituting the given values, we get - 33 * sin(30) = vyi - 9.8 * 2.52, which gives us vyi = -1.1 m/s.
As the last step, we find the magnitude of the initial velocity from the resultant of its vertical and horizontal components using the Pythagorean theorem: vi = sqrt[(vxi^2) + (vyi^2)], which comes out to be sqrt[(28.6^2) + (-1.1^2)] = 28.61 m/s.
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A wave traveling in water has a frequency of 250 Hz and a wavelength of 6.0 N. What is the speed of the wave?
a 50kg box is being pushed along a horizontal surface. the coefficient of kinetic friction between the box and the ground is 0.35.what horizontal force must be exerted on the box for it to accelerate at 1.20m/s^2
Answer:
Net horizontal force, [tex]F_{net}=231.5\ N[/tex]
Explanation:
It is given that,
Mass of the box, m = 50 kg
The coefficient of kinetic friction between the box and the ground is 0.35, [tex]\mu=0.35[/tex]
Acceleration of the box, [tex]a=1.2\ m/s^2[/tex]
We know that the frictional force acts in opposite direction to the direction of motion. The net force acting on it is given by :
[tex]F_{net}=f+ma[/tex]
[tex]F_{net}=\mu mg+ma[/tex]
[tex]F_{net}=m(\mu g+a)[/tex]
[tex]F_{net}=50\times (0.35\times 9.8+1.2)[/tex]
[tex]F_{net}=231.5\ N[/tex]
So, the net force acting on the box is 231.5 N. hence, this is the required solution.
What is the voltage of a battery that will charge a 4.0 μf capacitor to ± 36 μc ?
In a thermostat, what property of the bimetallic coil allows it to contract and expand? The two metals absorb different amounts of thermal energy. The two metals are placed perpendicular to each other. The two metals burn at different temperatures. The two metals turn into liquids when absorbing energy.
Answer:
The two metals absorb different amounts of thermal energy.
Explanation:
Temperature controlling device in an electric equipment like a heater, is called a thermostat.
A bimetallic strip contains two different metals. Each metal has its own characteristic property of expansion or cooling. Coefficient of thermal expansion has a different value for different metals.
The metal that has a higher expansion coefficients will expand more when heated, compared to the metal that has a lower coefficient of expansion.
In a thermostat used in a heating circuit, the electric contact is cut off due to the bending of the bimetallic strip, when the desired temperature is reached.
An isotope of the element fluorine has 9 protons and 10 neutrons. What is the name of this isotope? fluorine-
Answer:
19
Explanation:
Fluorine-19.
The isotope of fluorine with 9 protons and 10 neutrons is named Fluorine-19. This is because the mass number of an isotope equals the sum of its protons and neutrons, and in this case, 9 (protons) + 10 (neutrons) = 19. The atomic number of fluorine is 9, which means any atom of fluorine will always have 9 protons. A normal (most commonly occurring) atom of fluorine also has a mass number of 19, deriving from 9 protons and 10 neutrons. This makes Fluorine-19 the only stable and naturally-occurring isotope of fluorine.
A generator has a terminal voltage of 113 v when it delivers 13.6 a, and 91 v when it delivers 25.3
a. calculate the emf. answer in units of v. 002 (part 2 of 2) 10.0 points calculate the internal resistance. answer in units of Ï.
how does my potential energy increase and decrease?
David’s doctor suspects that he has diabetes. Which of these should be performed by the doctor to confirm the suspicion?
Answer: D.
Explanation: Glucose levels are only option that relates to realistic diagnosis
Rest of the answers-
a DNA analysis to identify genetic abnormalities
a physical exam to look for tumors
a study to observe David’s social behaviors
a test to check David’s glucose levels
5. Describe how a battery works. (4 points)
Consider a ball rolling down the decreasing slope inside a semicircular bowl (the slope is steep at the top rim, gets less steep toward the bottom, and is zero (no slope) at the bottom). As the ball rolls from the rim downward toward the bottom, its rate of gaining speed
A solid has a _____ volume and a ____ shape.
fixed, variable, fixed, variable
HELP
in the free-body diagram shown above, which of the following is the gravitational force acting on the car?
a.5800 N
b.755 N
c.14700 N
d.13 690 N
Answer:
c. 14700 N
Explanation:
The gravitational force acting on the car in a free-body diagram depends on the car's mass and gravitational constant. Without the mass or the context provided by the diagram, it is impossible to definitively answer the question.
Explanation:In order to determine the gravitational force acting on the car in this free-body diagram, you first need to understand the underlining principles of force. The force of gravity on an object is determined by the object's mass and the gravitational constant, typically represented by the formula F=mg. However, without further information such as the mass of the car or the free-body diagram referenced in the question, it's not possible to definitively answer this question. The options a) 5800N, b) 755N, c) 14700N, or d) 13690N could be potential answers depending on the mass of the car, the scale of the diagram, and the context of the problem.
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Scientists in a test lab are testing the hardness of a surface before constructing a building. Calculations indicate that the entire structure would sink by a certain amount for every additional floor that is added. If the maximum permissible limit for depression of the structure is 20 centimeters, how many floors can be safely added to the building?
14
15
18
23
A soccer ball is traveling at a velocity of 50 m/s the kinetic energy of the ball is 500 j what is the mass of the soccer ball?
Answer:
Its 0.4kg
Explanation:
What does the law of conservation of energy state about energy in a closed system
Explanation:
Law of conservation of energy: The energy of the system can neither be created nor destroyed. It can be transformed from one form to another.
In a closed system, the energy remains conserved. It is isolated from the surrounding.
For example, the ball is rolling from the inclined plane. At the top of the inclined plane, the potential energy is maximum. When the ball starts rolling then the kinetic energy starts increases. Here, the potential energy is converted into kinetic energy. The energy transformation takes place.
What properties of titanium make it attractive for use in race-car and jet-engine components?
a college student exerts 100N of force to lift his laundry basket the weighs 75N. at what rate is the basket accelerated upwards?
A capacitor with capacitance (c) = 4.50 μf is connected to a 12.0 v battery. what is the magnitude of the charge on each of the plates?
The magnitude of the charge on each plate of a 4.50 μF capacitor connected to a 12.0 V battery is 54 μC.
Explanation:To find the magnitude of charge stored on each plate of a capacitor when a voltage is applied, you can use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage applied. Given a capacitor with a capacitance (C) of 4.50 μF and a voltage (V) of 12.0 V, we can calculate the charge (Q) as follows:
Q = CV = (4.50 μF) (12.0 V) = (4.50 × 10-6 F) (12.0 V) = 54 × 10-6 C = 54 μC
Therefore, the magnitude of the charge on each of the plates of the capacitor is 54 μC.
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To find the charge stored on a capacitor with given capacitance and voltage, use the formula Q = C × V. Substituting 4.50 μF and 12.0 V into the equation yields a charge of 5.40 × 10⁻⁵ C on each plate.
To determine the charge stored on a capacitor's plates, we use the formula:
Q = C × V
Where:
C is the capacitance in farads (F).V is the potential difference in volts (V).Q is the charge in coulombs (C).In this case, we have a capacitance C = 4.50 μF (which is 4.50 × 10⁻⁶ F) and a voltage V = 12.0 V.
By substituting these values into the formula, we get:
[tex]Q = 4.50 \times 10^{-6} \, \text{F} \times 12.0 \, \text{V}[/tex]
Q = 5.40 × 10⁻⁵C
Therefore, the magnitude of the charge on each of the plates is 5.40 × 10⁻⁵ C.
An electrical drill has 100 J of chemical energy. Of the 100 J, 45 J are transformed into kinetic energy and 20 J are transformed into sound. The remaining energy is given off as thermal energy.
What is the thermal energy of the drill?
According to law of conservation of energy, the thermal energy of the drill is 35J.
What is law of conservation of energy?The law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time.
Total energy = Kinetic energy + Sound energy+ Thermal energy
100 = 45+20+ Thermal energy
Thermal energy = 35J
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Warhol's early paintings of these objects made him famous.
Campbell's soup cans
Coke bottles
comic strips
urinals
An arrow is shot from a bow at an angle of 35 degrees above horizontal with an initial speed of 50 m/s what is the arrows horizontal x and y components ?
Answer: Horizontal component of arrow :40.955 m/s
Vertical component of arrow :28.675 m/s
Explanation:
The initial speed of the arrow = u = 50 m/s
The horizontal component of the arrow =[tex]u_x=u\cos\theta [/tex]
The horizontal component of the arrow =[tex]u_y=u\sin\theta [/tex]
Angle between the velocity vector and x component = 35°
Horizontal component of arrow :
[tex]\cos\theta=\frac{u_x}{u}[/tex]
[tex]\cos35^o=0.8191=\frac{u_x}{50}[/tex]
[tex]u_x=0.8191\times 50=40.955 m/s[/tex]
Vertical component of arrow :
[tex]\sin\theta=\frac{u_y}{u}[/tex]
[tex]\sin35^o=0.5735=\frac{u_y}{50}[/tex]
[tex]u_y=0.5735\times 50=28.675 m/s[/tex]
Horizontal component of arrow :40.955 m/s
Vertical component of arrow :28.675 m/s
Why does light refract when it encounters the glass in a lens?
A) because it speeds up, which causes it to bend
B) because it slows down, which causes it to bend
C) because it hits a dense medium, which causes it to bounce off
D) because it gets absorbed, which causes it to lessen in intensity
Answer:
B) because it slows down, which causes it to bend
Explanation:Light hits the glass in a lens because it slows down, which causes it to bend. The material of a lens is more optically dense than the air it is traveling from.
Lexy used the formula shown to calculate the force of gravity on a space shuttle. Fg = G What does 3 × 105 kg represent? the difference between Earth’s mass and the space shuttle’s mass the sum of Earth’s mass and the space shuttle’s mass the mass of Earth the mass of the space shuttle
This term shows the mass of the space shuttle
Explanation:We know that the mass of the Earth is 5.972 × 10^24 kg. Similarly the sum of mass of earth and the mass of shuttle must be a greater number as compared to the number given. It simply means that the mass of earth is itself 5.972 × 10^24 kg and the value given is 3 × 105 kg so it is obvious that if was the sum then it must be greater than the mass of earth. Therefore we can say that this not the mass of earth, neither the sum of mass of earth and shuttle, but this is only the mass of space shuttle which is the last multiple choice.
Answer:
The answer is D
Explanation:
A boy on a bicycle approaches a brick wall as he sounds his horn at a frequency 400 hz. the sound he hears reflected back from the wall is at a frequency 408 hz. at what is the speed is the boy riding his bicycle toward the wall? assume the speed of sound in air is 340 m/s.
The boy on the bicycle is approaching the brick wall at a speed of 5.88 m/s. This is calculated using the formula for the Doppler effect which describes a frequency shift due to relative motion of the source and the observer.
Explanation:This problem deals with the Doppler effect, which is a shift in frequency perceived by an observer due to relative motion between the source of a wave (here, the bicycle horn) and the observer (the bicyclist hearing the reflected sound from the wall). In this case, we can use the formula for the Doppler effect when both the source and observer are moving towards each other:
f' = f (v + vo) / (v - vs)
where f' is the observed frequency (408 Hz), f is the source frequency (400 Hz), v is the speed of sound (340 m/s), vo is the observer's speed (the boy's speed) and vs is the source's speed (in this case, zero, since the wall is stationary).
Setting up the equation gives us:
[tex]408 = 400 (340 + vo) / (340 - 0).[/tex]boy, gives us vo = 5.88 m/s. Thus, the boy is riding his bicycle towards the wall at a speed of 5.88 m/s.
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Using the Doppler effect principle, the speed of the boy on the bicycle relative to the air is approximately 6.8 m/s.
Explanation:The scenario given in the problem is a classic example of the Doppler Effect: the change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source. In this case, we have the frequency of the sound wave as observed in the stationary frame (400 Hz) and in the moving frame (the boy on the bicycle, 408 Hz). The speed of sound in air is given as 340 m/s.
The observed frequency f is related to the source frequency f0 and the speed of the observer v with respect to the medium (air in this case) by the formula: f = f0*(v + v0) / v, where v0 is the speed of the source of the wave.
Substituting the given values into the equation gives 408 Hz = 400 Hz * (340 m/s + v) / 340 m/s. Solving the equation yields the speed of the boy on the bicycle relative to the air, which comes out to be approximately 6.8 m/s.
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This theory lost its appeal when astronomers discovered quasars and cosmic background radiation.
Answer:
The steady state theory
Explanation:
According to the steady state model of the universe, the universe is continuously expanding while maintaining average density as constant. According to the theory, matter is continuously being formed and creating new stars and galaxies while the old ones are becoming un-observable. There is no beginning or end of time.
On the other hand, the big bang theory describes that the entire matter of the universe was confined in a point and with the big bang, this point started expanding. This happened about 13.8 billion years ago. Of course the density and temperature of the universe was very high at the beginning. In the initial few minutes of the big bang, the universe expanded rapidly which resulted in the decrease in its density and temperature. After million years, the universe transparent for radiation to freely travel through space. Cosmic Microwave background is the remnant of this early universe and is a strong evidence of the Big Bang Theory. The number of quasars were greater in past than present which shows that universe is evolving with time.
A light bulb does 100 joules of work in 2.5 seconds. How much power does it have.
Final answer:
To calculate power, divide energy in joules by time in seconds. The light bulb with 100 joules of work done in 2.5 seconds has a power of 40 watts.
Explanation:
The student is asking how to determine the power of a light bulb based on the work done over time. The formula to calculate power is:
P = W / t
where P is power in watts (W), W is energy in joules (J), and t is time in seconds (s). In this case, the light bulb does 100 joules of work in 2.5 seconds. So, applying the formula:
P = 100 J / 2.5 s = 40 W
Hence, the power of the light bulb is 40 watts.
What are the properties of elements based on their placement on the periodic table?
Which of the following is the main evidence of life in the early universe?
A.) Dinosaur fossils
B.) Rock layering
C.) Plant remains
D.) Cyanobacteria
Answer:
Cyanobacteria.
Explanation:
The oldest forms of life would be considered the cyanobacteria from the options, this bacteria are called extremists because they can survive in environments with littlo to zero oxygen andis thought that they have been present from the early begining of the universe because they are the only living organisms known to mankind that are able to survive under those conditions.
The _____ point is the point at which a liquid boils when at a pressure of 14.7 pounds per square inch absolute (psia). A. Boiling B. Combustion C. Flash
A proton is released from rest in a uniform electric field of magnitude 50000 v/m directed along the positive x axis and undergoes a displacement of 0.5 m in the direction of the electric field as shown. find the amount of the kinetic energy gained after it has moved 0.5 m..
The amount of kinetic energy gained after it has moved 0.5 m is calculated as [tex]4\times10^{-15}\ J[/tex].
Given:
Electric field, [tex]E = 50000\ V/m[/tex]
Displacement, [tex]d= 0.5\ m[/tex]
Kinetic energy is a term used in physics to refer to the energy that an item has as a result of motion. It's a fundamental idea that explains how an object's motion and energy state are connected.
The particle physics community frequently refers to energy in terms of electron volts , especially when addressing the energies of atomic and subatomic particles. An electron is said to have one electron volt of kinetic energy when it accelerates through an electric potential difference of one volt.
The kinetic energy is given as:
[tex]KE = eV\\KE = e\timesE\timesd\\KE = 1.6\times10^{-19}\times50000\times0.5\\KE = 4\times10^{-15}\ J[/tex]
Hence, the amount of kinetic energy gained after it has moved 0.5 m is calculated as [tex]4\times10^{-15}\ J[/tex].
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