v = initial velocity of launch of the stone = 12 m/s
θ = angle of the velocity from the horizontal = 30
Consider the motion of the stone along the vertical direction taking upward direction as positive and down direction as negative.
v₀ = initial velocity along vertical direction = v Sinθ = 12 Sin30 = 6 m/s
a = acceleration of the stone = - 9.8 m/s²
t = time of travel = 4.8 s
Y = vertical displacement of stone = vertical height of the cliff = ?
using the kinematics equation
Y = v₀ t + (0.5) a t²
inserting the values
Y = 6 (4.8) + (0.5) (- 9.8) (4.8)²
Y = - 84.1 m
hence the height of the cliff comes out to be 84.1 m
The height of the cliff if the stone’s trajectory time from the top of the cliff to bottom to be 4.8s is 84.06m
To get the height of the cliff, we will have to use Newton's second law of motion as shown below;
[tex]S=ut+\frac{1}{2}at^2[/tex]
Since the stone is thrown upwards, a = -g, the formula will become;
[tex]S=ut-\frac{1}{2}gt^2[/tex]
Get the initial vertical velocity "u"
[tex]u = u_0sin \theta\\u=12sin30^0\\u=6.0m/s[/tex]
Given the following parameters
t = 4.8secs
g = 9.8m/s²
Substitute the given parameters into the formula as shown:
[tex]S=6(4.8)-0.5(9.8)(4.8)^2\\S=28.8-112.896\\S = -84.06m[/tex]
This shows that the height of the cliff if the stone’s trajectory time from the top of the cliff to bottom to be 4.8s is 84.06m
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What type of graph should an ecologist use to graph the relationship between a country’s population and the year
An astronaut is floating in space when the support line is cut. If the 68kg astronaut needs to reach the spaceship (20m away), how long will it take if he throws a 12kg canister at 12m/s?
Answer: 9.43 s
Explanation:
Since there is no external force acting in space, the total momentum of the entire system would be conserved.
When the astronaut throws a canister, an equal and opposite amount of force would act on the astronaut which means momentum of the canister would be equal to momentum of the astronaut,
⇒ m v = m' v'
⇒ 12 kg × 12 m/s = 68 kg × v'
The velocity of the astronaut would be:
v' = 2.12 m/s
The distance need to be covered by astronaut to reach the spaceship = 20 m
Time taken : Distance/ velocity = 20 m / 2.12 m/s = 9.43 s.
Hence, astronaut would take 9.43 s to reach the spaceship.
What is the kinetic energy of an object that has a mass of 12 kilograms and moves with a velocity of 10 m/s?
Answer:
The kinetic energy of the object is 600 J
Explanation:
It is given that,
Mass of the object, m = 12 kg
Velocity of the object, v = 10 m/s
Kinetic energy of the object is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
[tex]E=\dfrac{1}{2}\times 12\times (10)^2[/tex]
E = 600 J
So, the kinetic energy of the object is 600 J. Hence, this is the required solution.
In a gas-powered lawnmower, the gasoline is converted from chemical energy into which other type of energy
In a gas-powered lawnmower, the gasoline is converted from chemical energy into mechanical energy.
The conversion of gasoline's chemical energy into mechanical energy in a lawnmower is facilitated by an internal combustion engine. Here's how you can calculate the energy conversion step by step:
1. Energy in gasoline: Gasoline typically contains about 34.2 megajoules (MJ) per liter or 34,200,000 joules per liter.
2. Efficiency of the engine: The efficiency of a typical small engine used in lawnmowers can be estimated at around 20% to 30%. Let's assume 25% efficiency for this calculation.
3. Energy output: Multiply the energy in gasoline by the engine efficiency:
Energy output = Energy in gasoline . Efficiency
= 34,200,000 joules/L . 0.25
= 8,550,000 joules/L
So, in a gas-powered lawnmower, the gasoline is converted from chemical energy into mechanical energy, with an output of approximately 8,550,000 joules per liter.
Gasoline contains a certain amount of energy per unit volume. This energy is released during combustion in the engine, which drives the piston, crankshaft, and ultimately the blades of the lawnmower, converting the chemical energy of gasoline into mechanical energy to cut grass.
The efficiency of the engine plays a crucial role in this conversion. Not all the energy in gasoline is converted into useful mechanical work; some is lost as heat and in friction. In this case, assuming a 25% efficiency means that about a quarter of the energy in gasoline is converted into mechanical energy, while the rest is lost as heat.
In summary, the chemical energy in gasoline is transformed into mechanical energy in a gas-powered lawnmower, with the efficiency of the engine determining how much of that energy is effectively converted into useful work.
Complete Question:
In a gas-powered lawnmower, the gasoline is converted from chemical energy into which other type of energy?
What is the output voltage from a step up transformer with 25 turns in the primary coil and 75 turns in the secondary coil if the input voltage was 120 V?
Answer:
360 V
Explanation:
We can use the transformer equation:
[tex]\frac{V_p}{N_p}=\frac{V_s}{N_s}[/tex]
where
[tex]V_p[/tex] is the primary (input) voltage
[tex]N_p[/tex] is the number of turns in the primary coil
[tex]V_s[/tex] is the secondary (output) voltage
[tex]N_s[/tex] is the number of turns in the secondary coil
In this problem,
[tex]V_p = 120 V\\N_p = 25\\N_s = 75[/tex]
Substituting into the equation, we can find the output voltage:
[tex]V_s = N_s \frac{V_p}{N_p}=(75)\frac{120}{25}=360 V[/tex]
"A scratch mark appears on talc when diamond is rubbed on it." What does this statement most likely represent?
a. an experiment
b. a hypothesis
c. a conclusion
d. an observation
Answer: option d. an observation
Explanation:
"A scratch mark appears on talc when diamond is rubbed on it"; is most likely to be an observation.
A hypothesis is a statement which can be tested through an experiment. An experiment involves some steps. Within an experiment certain observations are made and thereafter conclusion is drawn.
When diamond is rubbed on the talc, scratch mark appears is most likely an observation. The appearance of scratch mark is an observation after talc was rubbed by diamond.
Answer: d. an observation
Explanation:
In an experimentation process an observation is a process of examining or monitoring something like a experimental variable or any other entity so as to derive a conclusion of the experiment. It involves the physical or visual examination.
According to the given situation the scratch marks can be observed over the talc caused by the diamond on rubbing. Hence, it is the example of an observation.
A box is pulled to the right on a horizontal surface. The forces acting on the box are shown in the diagram. The box is?
The center on a high school basketball team wants to increase the maximum height of his jump. What statement correctly describes how he could achieve this goal?
A) Wearing lighter shoes would increase the height of his jump.
B) Jumping at a 45° angle would increase the height of his jump.
C) Jumping with greater acceleration would increase the height of his jump.
D) Jumping with greater initial velocity would increase the height of his jump.
this would be c
Give brainliest if helpful
B) Jumping at a 45° angle would increase the height of his jump.
Explanation:Jumping is a type of projectile motion. We start from zero initial velocity and start running until the time comes when we want to jump. We also know that we cannot jump straight on any point we must cover some distance in the X axis too which makes our motion a projectile motion so the projectile motion gains its maximum height when it takes the angle of 45 therefore option B is the correct answer.
To determine the trajectory of the movement of a material point in the xOz plane that is subjected simultaneously to oscillations x (t) = A * sin π(t + 1) and y (t) = A * sin (πt + π / 2).
We are to show that the given parametric curve is a circle.
The trajectory of a circle with a radius r will satisfy the following relationship:
[tex](x-x_c)^2 + (y-y_c)^2 = r^2[/tex]
(with (x_c,y_c) being the center point)
We are given the x and y in a parametric form which can be further rewritten (using properties of sin/cos):
[tex]x(t) = A\sin \pi(t+1) = A\sin (\pi t + \pi) = -A\sin \pi t\\y(t) = A\sin (\pi t + \frac{\pi}{2}) = A\cos \pi t[/tex]
Squaring and adding both gives:
[tex]x^2(t) + y^2(t) = A^2(-1)^2\sin^2 \pi t + A^2 \cos^2 \pi t = A^2\\\implies x^2 + y^2 = A^2[/tex]
The last expression shows that the given parametric curve is a circle with the center (0,0) and radius A.
A train goes 300 miles at an average speed of 45 miles per hour how long does it take to go the distance
Distance/speed = time
300/45 = 6.667 hour
Final answer:
The train traveling 300 miles at an average speed of 45 mph will take approximately 6 hours and 40 minutes to complete the journey.
Explanation:
To calculate the time taken for a train to travel a certain distance at a specific average speed, we can use the formula time = distance / speed. In this problem, the train goes 300 miles at an average speed of 45 miles per hour (mph). Plugging these values into the formula, we find:
Time = 300 miles / 45 mph
The calculation will give us the result in hours since we are dividing miles by miles per hour.
Time = 6.666... hours
To convert this into minutes, we simply multiply by 60 (since there are 60 minutes in an hour):
Time in minutes = 6.666... hours * 60 minutes/hour = 400 minutes
Therefore, it will take the train approximately 6 hours and 40 minutes to travel the 300-mile distance at an average speed of 45 mph.
What is the magnitude of the resultant vector? Round your answer to the nearest tenth.
R = √ (5²m² + 13²m²)
R = √ (25m² + 169m²)
R = √194m²
R = 13.928... m
R = 13.9 m
The magnitude of the resultant vector would be 13.93 meters because as per the triangle law of the vector addition the resultant is the closing side of the triangle.
What is a vector quantity?The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.
Examples of the vector quantities are displacement, velocity acceleration, force, etc.
While the scalar quantities do not contain the information of the direction they only have a magnitude of the quantity measured.
The resultant vector can be calculated with the help of the triangle law of the vector addition
By using the Pythagoras theorem for the right-angled triangle
Resultant² = base² + height²
Resultant² = 13² + 5²
Resultant² = 194
Resultant = √194
=13.93 m
Since the resultant is the closing side of the triangle according to the triangle law of vector addition, the resultant vector's magnitude would be 13.93 meters.
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PLEASE NEED HELP What is the net force acting on the race car in the picture: Question 1 options: 10 N to the right 3 N to the left 17 N 3 N to the right
Use Net Force Equation.
Fnet = F1 + F2 + F3 + F4
In which the following main forces in play are:
F1 = Gravitational Force
F2 = Normal Force
F3 = Thrust Force
F4 = Air resistance
Since this is assumed to happen on a flat surface, the gravitational and normal forces cancel out. So we are left with:
Fnet = F(thrust) + F(air resistance)
Now we can use this equation to solve for the net force.
Fnet = 10N [right] + 7N [left]
Fnet = 10N [right] - 7N [right]
Fnet = 3N [right].
Therefore, the total net force acting on this car would be 3N [right]
The net force acting on the race car is 7 N to the right.
Explanation:The net force acting on the race car can be determined by considering the forces acting on it. In the picture, we can see that there are two forces: a 10 N force to the right and a 3 N force to the left. Since the forces are in opposite directions, we can subtract the magnitude of the smaller force from the magnitude of the larger force to find the net force. Therefore, the net force acting on the race car is 7 N to the right.
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A 1.5m wire carries a 8A current when a potential difference of 67v is applied what is the resistance of the wire
Data is inappropriate
here, we need gauge of the wire i.e., diameter of the wire, so that we calculate the resistance by using the formula
R = ρl/A
where R= resistance ; Ω
l = length of wire ; m
A = area of wire ; m²
ρ = resistivity ; Ω-m
But in general ohms law is
V = I R
R = V/I ;
but here we also calculate "R" from length of wire in which the current is flowing.
I hope it is helpful to you.
Which of the following is not an appropriate unit for momentum?g*m/s kg*m/hr km*m/s g*cm/min
Answer:
Momentum is defined as "It is the quantity of motion of moving body, measured as a product of its mass and velocity".
Mathematically, p =m.v ;
= (kg . m/s)
where ,
mass in kg
velocity in m/s
The inappropriate unit for momentum is 'kilograms times meters per hour (kg⋅m/hr)' because the SI unit of time for momentum should be seconds, not hours. The correct option is: kg.m/hr
The unit for momentum in the International System of Units (SI) is kilogram meters per second (kg⋅m/s). Momentum, being a vector quantity, is the product of mass (a scalar) and velocity (a vector). Hence, for momentum, we would need the mass in kilograms (kg) and velocity in meters per second (m/s). The correct SI units reflect this relationship.
Examining the options given:
grams (g) times meters per second (g⋅m/s) could be used for momentum, but it is not in SI units.
kilograms times meters per hour (kg⋅m/hr) is not correct because the SI unit of time for momentum is seconds, not hours.
kilometers times meters per second (km⋅m/s) is incorrect, as the unit for mass should be kilograms not kilometers, which is a unit of length.
grams times centimeters per minute (g⋅cm/min) also do not match the SI unit standards for momentum.
The option not using the correct units for momentum is 'kilograms times meters per hour (kg⋅m/hr)' as momentum requires units of mass (kilograms) and velocity (meters per second).
if two people do the same amount of work on an object, does this mean they are equally as powerful? why or why not?
[ Answer ]
No, they not equally powerful
[ Explanation ]
Just because they did the same amount of work, does not mean they are equally powerful. One person could have spent 5 hours on a project, but done just as much as the other person. The other person could have spent 3 hours on the same thing and have just as much work, but not be as powerful. It all depends on the quality of the work.
More Powerful: 1 person spends 2 hours on a 3 paragraph essay
Less Powerful: 1 person spends 35 minutes on a 3 paragraph essay
They both did the same thing, but the person that spent 2 hours on it is more powerful. This is true because even thought it was a 3 paragraph essay and the other person did the same essay, she put in much more time and effort, making her essay better quality and more powerful.
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If two people do the same amount of work on an object, the power of them depends on how fast they do the work. The person, who do the work fast, is more powerful. So, this does not mean they are equally as powerful.
What is power?Power is defined in physics as the amount of energy transferred or converted per unit time. The watt is the unit of power in the International System of Units, equal to one joule per second. Power is sometimes referred to as activity in older works. A scalar quantity is power.
Hence, mathematically, power can be written as:
power = work/time
Hence, If two people do the same amount of work on an object, , this does not mean they are equally as powerful because The person, who do the work fast, is more powerful compare to the other.
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A camcorder has a power rating of 11watts if the output voltage from its battery is 8volts what current does it use?
Given that
Power rating (P) = 11 W,
Change in voltage (ΔV) = 8V ,
We know that, P = ΔV . I
I = P ÷ ( ΔV)
= 11 ÷ 8
I = 1.375 A
current used by camcorder is 1.375 A.
A circuit that has only a single path for current to flow through is best classified into which category? a series circuit an open circuit a parallel circuit a short circuit
The correct answer to your question would be the 1st answer choice, A series circuit.
Hope this helped you!! (:
Final answer:
A circuit with a single current path is a series circuit, characterized by its components connected end-to-end in a single loop.
Explanation:
A circuit that has only a single path for current to flow through is best classified as a series circuit. In a series circuit, all components are connected end-to-end to form a single loop, giving current only one path to follow. This is in contrast to a parallel circuit where components are connected across common points and current divides into multiple paths. In a series circuit, the current is the same throughout and the sum of the voltages across each component must equal the supplied voltage. An open circuit refers to a broken path where no current flows, a parallel circuit has multiple paths for current, and a short circuit indicates an unintended path allowing current to bypass a component within the circuit.
If a decision was made to increase agriculture fertilizer application, which would be an example of a negative trade-off based on this decision? A) excessive nutrients B) farm profits increase C) increase crop production D) consumer prices decrease
The answer is; A
Fertilizer application can be detrimental when there is overapplication. The excess nutrients are washed away by runoff after precipitation. These nutrients end up in water bodies and cause algal blooms. Algal blooms asphyxiate aquatic life hence causing a drastic reduction in aquatic populations.
A cross-country skier can complete a 7.5 km race in 45 min. What is the skier’s average speed?
Im not all the way sure but i think it is 2.7778 m/s. I hope this help you. :)
Answer:
10 km/h is the correct answer
Explanation:
List three types of X-ray imaging applications and a key feature that makes each unique.
Answer:
Radiography takes single projectional images. Fluoroscopy shows live images. CT scans can be used to take cross-sectional images or build 3D images.
Explanation:
X- rays are electromagnetic radiations. Three important application of X-rays are Fluoroscopy, Projection Radiology and Mammography.
What are X-rays and its applications?X- rays are higher energy of ionising radiation and can penetrate many objects including human body. X-rays can used to detect various diseases in human body and helps to diagnose it.
Fluoroscopy :Fluoroscopy is a medical procedure to make a real-time video of the movement inside a part of the body by passing X-rays through the period of time. It is used for diagnosing a health problem such as heart or intestinal disease and to track the injected path or swallowed contrast agent. This technology is used with a radiographic contrast agent to guide an internally threaded catheter during cardiac angioplasty.
Projection radiography :Projection radiography is also known as Conventional Radiography is a form of medical imaging to produce two-dimensional images by using X-ray radiation. These are helpful in detection of some disease process in soft tissues. It is also used to detect bone fractures, fine bone pathology, and to measure the bones for growth studies. It is used to look at implanted devices such as Artificial knee or hip.
Mammography :A mammography is very common application for the X-rays. It is used for the patients who diagnosed with breast cancer. Mammograms use X-rays to capture image of what's inside the breasts. It is used to detect abnormal growth of breasts, so a determination can be made it further testing is necessary. Mammograms drastically reduced the death of breasts cancer, because it allows for early diagnosis.
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Look at the diagram. Emily needs to complete the circuit. What two points should be connected to complete the circuit and make the bulb glow?
Answer:
The points 2 and 4 should be connected.
Explanation:
To complete the circuit, we need to connect the two points which when connected, encompass the battery and the bulb in the circuit. The points 2 and 4 do the job, since they connect the terminal of the battery and the terminal of the bulb, and thus complete the circuit.
Therefore, the choice C is correct.
Answer:
C) Points 2 and 4
Explanation:
In a complete electric circuit, wires carry the current from the battery to the bulb and from the bulb to the battery. The wires should be attached to points 2 and 4 to make the bulb glow.
an airplane is flying through a thundercloud at a height of 2000m (this is very dangerous thing to do because of updrafts, turbulence, and the possibility of electric discharge). If there are charge concentrations of 40.0 C at a height of 3000 m within the cloud and of -40.0 C at a height of 1000m, what is the electric field E at the aircraft?
Answer
In this question we have given,
Height of plane, h1=2000m
Height at which charge concentration is 40C, h2=3000m
Height at which charge concentration is -40C, h3=1000m
charge concentaration, q1=40C
charge concentaration, q2=-40C
let the charge concentrations at height h2 and h3 as point charges
Now we will first find the electric feild on plane due to positive charge q1=40
[tex]E1= k*q1/(h1-h2)..............(1)[/tex]
Here k=8.98755*10^9N.m^2/C^2
q1=40C
put values of k, q1 , h1 and h2 in equation 1
[tex][tex]E1=(8.98755*10^9)*(40)/(2000-3000)^2[/tex]\\
[tex]E1=[tex]E= 359502+359502\\E=719004 V/m[/tex]V/m[/tex]
similarly electric feild due to negative charge q2=-40
[tex][tex]E2=(8.98755*10^9)*(-40)/(2000-1000)^2[/tex]\\
[tex]E2=359502V/m[/tex]
Total electric feild E at the aircraft is given as
[tex]E= E1+ E2\\[/tex]...............(2)
Put values of E1 and E2 in equation2
[tex]\\E=359502+359502\\E= 719004V/m\\[/tex]
therefore s Total electric feild E at the aircraft is E= 719004V/m
To find the electric field at the aircraft, we use Gauss's law. We can consider a cylindrical surface with the aircraft at the center and a radius of 2000m. By calculating the enclosed charge and surface area, we can determine the electric field.
Explanation:To find the electric field in the aircraft, we need to use the concept of Gauss's law. Gauss's law states that the total electric flux through a closed surface is proportional to the total enclosed charge. In this case, we can consider a cylindrical surface with the aircraft at the center and a radius of 2000m. The charge enclosed by this surface is 40.0C (the charge concentration at 3000m) minus -40.0C (the charge concentration at 1000m). The resulting value is 80.0C. Now, we can calculate the electric field by dividing the enclosed charge by the surface area.
The surface area of the cylindrical surface can be calculated using the formula A = 2πrh. Plugging in the values, we have A = 2π(2000)(10^3) = 4π(10^6) m^2. Finally, we can find the electric field by dividing the enclosed charge by the surface area: E = 80.0C / 4π(10^6)m^2.
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do constructive inference occur when the compression of one wave meets up with the compression of a second wave
Answer:
Yes
Explanation:
There are two types of interference possible when two waves meet at the same point:
- Constructive interference: this occurs when the two waves meet in phase, i.e. the crest (or the compression, in case of a longitudinale wave) meets with the crest (compression) of the other wave. In such a case, the amplitude of the resultant wave is twice that of the original wave.
- Destructive interferece: this occurs when the two waves meet in anti-phase, i.e. the crest (or the compression, in case of a longitudinal wave) meets with the trough (rarefaction) of the other wave. In this case, the amplitude of the resultant wave is zero, since the amplitudes of the two waves cancel out.
In this problem, we have a situation where the compression of one wave meets with the compression of the second wave, so we have constructive interference.
Which of the following is the correct equation for finding the wavelength of a wave?
A) Wavelength=velocity/time?
B) velocity=wavelength/frequency?
C) wavelength= velocity/ frequency?
D) frequency=wavelength/velocity?
A is the correct answer here.
C is the right equation. As velocity= frequency*wavelength, you can turn the equation around to get the c answer,
Animals that have both an internal skeleton and a backbone are known as _________________. A)mammals b) quadrapeds c)vertebrates
Animals that have those features are known as vertabrates. Such as fish and birds.
9.5 g bullet has a speed of 1.5 km/s what is the kinetic energy of the bullet
The answer is 0.000824653J
You need to use the formula Mass * Velocity^2 over 2
Answer:
The kinetic energy of the bullet is approximately 10688 Joules, or about 10.7kJ.
Explanation:
Use the kinetic energy formula:
[tex]E_k=\frac{1}{2}mv^2= \frac{1}{2}9.5\cdot10^{-3}kg\cdot 1.5^2\cdot 10^6 \frac{m^2}{s^2}\approx 10688J[/tex]
The kinetic energy of the bullet is approximately 10688 Joules, or about 10.7kJ.
Which of these are created by changing magnetic and electric fields?
1.) Radiations which travel with different speeds
2) Compressions which travel with different speeds
3) Transverse waves which travel with the speed of light
4) longitudinal waves which travel with the speed of sound
3) Transverse waves which travel with light speed
What is the definition of voltage and how is voltage different from current?
Voltage is the difference in electric potential energy per unit charge between two points. Voltage is the work to be done, upon an unit charge to move between two points, against a static electric field. A voltage which is a measure of electric potential difference, is the cause of electrical current to flow in a closed circuit.
Answer: voltage is the difference in electrical potential energy between two places in an electric field
Explanation:
Which of the following characteristics of stars is affected by a stars temperature?
1. Brightness
2. Color
3. Distance from Earth
4. Size
Answer:
Color is the answer
Explanation:
Got it right on A P E X
The slope of the distance-time graph is equal to the
A. speed
B. acceleration
C. displacement
D. motion
In physics, speed is the ratio between the distance traveled and the length of the body's movement.
So the correct answer is A