The mouse will be 4.61 meters distant horizontally. and the owl won't fall into the nest.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
Diameter of nest,d = 30 cm
The velocity of flying, V = 3.50 m/s toward the east
The angle of flying below the horizontal, Θ = 32°
Position of owl,12.0 m above the middle of the 30 cm-diameter nests, at 4.00 m west.
Height of owl above the ground,h = 12 m
Distance from the west direction, a = 4.00 m
The vertical component of velocity,vₐ
The horizontal component of velocity,vₓ
After covering a vertical distance of 12 m, the vertical component of the mouse's velocity, v, is given by
vₐ-u²=2gh
u = asinΘ
Substitute the above value;
vₐ²- (a sin Θ )² = 2gh
Substitute the given value;
vₐ² - (4 sin 32)² = 2 ×9.81 ×12
vₐ² - (4 × 0.53)² = 235.44
vₐ² - 4.494 = 235.44
vₐ² = 235.44 + 4.494
vₐ² = 239.934
vₐ = 15.49 m/s
The time required to descend the aforementioned 12 meters;
[tex]\rm t = \frac{v_{rel}}{g}[/tex]
t = (vₐ - u )/g
t =( vₐ - a sin Θ )/g
Substitute the given value;
t =(15.49 - 4 ×sin 32°) / 9.81
t= (15.49 - 4 * 0.53) / 9.81
t =(15.49 - 2.12) / 9.81
t = 13.37 / 9.81
t= 1.36 s
Horizontal distance traveled for the given period;
x=uₓ × t
x =a cosΘ × t
Substitute the given value;
x = 4×(cos 32°)×1.36
x= 4×0.848×1.36
x= 4.61 m
Hence, the mouse will be 4.61 meters distant in the horizontal direction. and the owl won't fall into the nest,
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3.2 Define conservation of energy.
Answer:
A principle stating that energy cannot be created or destroyed, but can be altered from one form to another.
Explanation:
Obtain the formula for the focal length of a lens in terms of object distance (u)
and magnification (m)
Answer:
m=image distance÷object distance
6. (a) Suppose the earth is revolving round the sun in a circular orbit of radius one b astronomical unit (1.5% 10 km). Find the mass of the sun. G = 6.67 x 10" N m² kg 2. (b) If the mass of sun is 2 x 10" kg, distance of earth from the sun is 1.5 x 10¹ m and period of revolution of the former around the latter is 365.3 days, find the value of G.
Answer:
tough
ques
Explanation:
You are raising up a big bucket of water from a 25.9 m deep well. The combined mass of the water and the bucket is 13.9 kg. The bucket is attached to a heavy duty steel chain. The mass of the chain is 19.3 kg.
1. How much work do you perform during the lifting process?
2. If it takes 1.75 minutes for you to raise the bucket of water out of the well, then what was your average power?
1. The amount of work done during the lifting process is 8426.824 J
2. The average power used in the process is 80.26 Watts
1. How to determine the workdone Combine mass (m) = 13.9 + 19.3 = 33. 2 KgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 25.9 mWork done (Wd) =?Wd = mgh
Wd = 33. 2 × 9.8 × 25.9
Wd = 8426.824 J
2. How to determine the powerWork done (Wd) = 8426.824 JTime (t) = 1.75 mins = 1.75 × 60 = 105 sPower (P) =?P = Wd / t
P = 8426.824 / 105
P = 80.26 Watts
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how is this answer correct
Answer:
b
Explanation:
c is a velocity time graph, showing how a body moves with constant velocity with change in time
Select the option no explanation needed
Answer:
c
Explanation:
the formula Torque = Force X Distance. While distance is measured in meters and force is measured in newton so torque is measured in newton ⋅ meter
The figure below shows a man in a boat on a lake. The man's mass is 74 kg, and the boat's is 135 kg. The man and boat are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 5.0 m/s.
What is the velocity of the boat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)
The velocity of the boat after the package is thrown is 0.36 m/s.
Final velocity of the boat
Apply the principle of conservation of linear momentum;
Pi = Pf
where;
Pi is initial momentumPf is final momentumv(74 + 135) = 15 x 5
v(209) = 75
v = 75/209
v = 0.36 m/s
Thus, the velocity of the boat after the package is thrown is 0.36 m/s.
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Assume the pipe in the bathroom has a radius 34 cm and the pipe in the chamber has a radius of 45cm.
The Velocit,y Height and flow rate is is mathematically given as
v2= 1.92m/sh=2.06m F= 700kg/sWhat is the flow rate?Generally, the equation for the Continuity equation is mathematically given as
A1v1=A2v2
Therefore
[tex]v2=\frac{r1^2}{r2^2}v1[/tex]
v2= 1.92m/s
Generally, the equation for Pressure is mathematically given as
the difference is related by
[tex]P=\rho g h[/tex]
Therefore
[tex]h=P / \rho g[/tex]
(1000)(9.81)(h)=2*10100
h=2.06m
Generally, the equation for Flow rate is mathematically given as
[tex]F=\rho Av[/tex]
Therefore
[tex]F=(1000)\pi (0.45)^2 1.1[/tex]
F= 700kg/s
In conclusion, The resulting solutions are
v2= 1.92m/s
h=2.06m
F= 700kg/s
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can you help me? please
Answer
Yes i will help u!
All the forces we see and experience are the result of just a few so-called fundamental forces. What are the fundamental forces in nature? Provide a brief explanation of each and an example of how we ‘see’ the forces in action.
The fundamental forces in nature are strong force, weak force, electromagnetic force, and the gravitational force.
Fundamental forces
There are four fundamental forces at work in the universe. These fundamental forces include;
The strong force: this force has strong influence or impact on objects. The weak force: this force has little impact on objects.The electromagnetic force: force due to current flowing in a conductor placed in magnetic field.The gravitational force: this is force of attraction between two objects placed in the universe.Thus, the fundamental forces in nature are strong force, weak force, electromagnetic force, and the gravitational force.
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Which statement best explains the movement of electric current from the clouds to the ground during a lightning storm?
The statement that best explains the movement of electric current is that the ground is positively charged and the clouds are negatively charged.
What is lightning storm?Lightning storm can be defined as the electrical outlet that occurs due to unsteadiness of the storm clouds and the ground.
Lightning storm occurs when opposite charges build up enough in the air leading to rapid discharge of electricity.
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How long will it take a 50w motor to lift a 20 kg object 5 m?
Answer:
50+20=70
70÷5=14
Explanation:
50×20=1000
1000÷5=200
Answer:
Approximately [tex]20\; {\rm s}[/tex], assuming no energy loss and that [tex]g = 10\; {\rm N \cdot kg^{-1}}[/tex].
Explanation:
If the gravitational field strength is constantly [tex]g[/tex], lifting an object of mass [tex]m[/tex] by a height of [tex]\Delta h[/tex] would increase the gravitational potential energy ([tex]\text{GPE}[/tex]) of that object by [tex]m\, g\, \Delta h[/tex].
In this question, [tex]m = 20\; {\rm kg}[/tex] and [tex]\Delta h = 5\; {\rm m}[/tex]. Assume that [tex]g = 10\; {\rm N \cdot kg^{-1}}[/tex]. Hence, the [tex]\text{GPE}[/tex] that this object would eventual gain would be:
[tex]\begin{aligned}m\, g\, \Delta h &= 20\; {\rm kg} \times 10\; {\rm N \cdot kg^{-1}} \times 5\; {\rm m} \\ &= 1000\; {\rm N \cdot m} \\ &= 1000\; {\rm J}\end{aligned}[/tex].
Thus, this motor would need to do (at least) [tex]1000\; {\rm J}[/tex] of work to lift this object up by [tex]5\; {\rm m}[/tex]. The power rating of this motor, [tex]P = 50\; {\rm W} = 50\; {\rm J \cdot s^{-1}}[/tex], means that (assuming no energy loss) this motor could do [tex]50\; {\rm J}[/tex] of work every second.
The time it would take for this motor to do [tex]1000\; {\rm J}[/tex] of work under these assumptions would be:
[tex]\begin{aligned}t &= \frac{\text{work}}{\text{power}} \\ &= \frac{1000\; {\rm J}}{50\; {\rm J \cdot s^{-1}}} \\ &= 20\; {\rm s}\end{aligned}[/tex].
Help!!! Asap!!!
The arrows in the diagram show the direction of the magnetic fields of the
atoms that make up an object. Which material could the diagram represent?
A. Paper
B Steel
C Nickel
D Iron
Answer:
Probs paper cuz the rest are metals
Particles q1 = -53.0 uc, q2 = +105 uc, and q3 = -88.0 uc are in a line. Particles qı and q2 are separated by 0.50 m and particles q2 and q3 are separated by 0.95 m. What is the net force on particle q3?
The net force on particle q3 is 112.11 N
What is electrostatic force?The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
F = kq₁q₂/r²
where k = 9 x 10⁹ N.m²/C²
The Particles q1 = -53.0 uc, q2 = +105 uc, and q3 = -88.0 uc are in a line. Particles qı and q2 are separated by 0.50 m and particles q2 and q3 are separated by 0.95 m.
The net force F3 = F13 + F23
Substitute the values, we get the force F on q3 as
F3 = 9 x 10⁹x53.0 x 10⁻⁶x 88.0 x 10⁻⁶ / (0.5+0.95)² + 9 x 10⁹x105.0 x 10⁻⁶x 88.0 x 10⁻⁶ / (0.95)²
F3 = 112.11 N
Thus, the magnitude of the force on charge q3 is 112.11 N.
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A transformer consists of 340. primary windings and 980. secondary windings. If the emf of the primary coil is 30.0 V, what is the emf across the secondary coil? 34.7 Ω
Answer:
86.47 V
Explanation:
It will be multiplied by the ratio of the windings
980/340 * 30 = 86.47 v
A fish rests on the bottom of the bucket of water while the bucket is being weighed on a scale. When the fish begins to swim around, does the scale reading changed? Explain.
When the fish begins to swim around, the reading of the scale won't change because mass of the fish and the bucket is constant.
Weight of the fish and bucket
The weight of the fish inside the bucket depends on the mass of the bucket and fish.
W = mg
where;
m is mass of the bucket and fishg is acceleration due to gravityThus, when the fish begins to swim around, the reading of the scale won't change because mass of the fish and the bucket is constant.
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Ben, a psychology student, decides to examine masking behaviors, now that more people are vaccinated. He goes to his local grocery store, finds a specific spot to sit, and counts the number of people he sees with masks or without masks across 2 weeks. Ben is most likely conducting a(n) ____________________ study.
Ben as a psychology student is most likely conducting a behavioral study.
What is psychology?
Psychology can simply be defined as the study of human mind, conscious and unconscious, thoughts and feelings.
In conclusion, Ben as a psychology student is most likely conducting a behavioral study.
Some few branches of psychology are:
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A soccer ball is kicked from the top of one building with a height of H1 = 30.2 m to another building with a height of H2 = 12.0 m.
The ball is kicked with a speed of v0 = 15.10 m/s at an angle of θ = 74.1° with respect to the horizontal. The mass of a size 5 soccer ball is m = 450 g. When the ball lands on the other building, its speed is 19.89 m/s.
How much energy was lost to air friction? The ball is kicked without a spin.
The amount of energy lost to air friction, given the data is 37.71 J
How to obtain the initial energyInitial velocity (u) = 15.1 m/sMass (m) = 450 g = 450 / 1000 = 0.45 KgInitial Energy (E₁) = ?
E₁ = ½mu²
E₁ = ½ × 0.45 × 15.1²
E₁ = 51.3 J
How to obtain the final energyFinal velocity (u) = 19.89 m/sMass (m) = 450 g = 450 / 1000 = 0.45 KgFinal Energy (E₂) = ?
E₂ = ½mv²
E₂ = ½ × 0.45 × 19.89²
E₂ = 89.01 J
How to determine the energy lostInitial Energy (E₁) = 51.3 JFinal Energy (E₂) = 89.01 JEnergy lost =?Energy lost = E₂ - E₁
Energy lost = 89.01 - 51.3
Energy lost = 37.71 J
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A prism of angle 60° is of a material of refractive index √√2. Calculate angles of minimum deviation and maximum deviation.
Answer:
i don't know if this helps but The refractive index of the material of the prism of an angle 60 degree is 1.62 for sodium light. there you go hope it helps
Explanation:
You cover the following displacements every day going to school: d1=50 m, E and d2=95 m, N. You do this for 12 minutes. a) What is your speed in m/s? b) What is your velocity in m/s?
The speeds and velcity will be 0.020 m/sec and 0.0149 m/sec.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while V for the final speed. its si unit is m/sec.
Given data;
d1=50 m E
d2=95 m N
Time period,t = 12 min = 12 × 60 sec = 7200 sec
The displacement is the shortest distance found from the pythogorous theorem as;
Displacement = √[(50 )²+(95)²]
Displacement = 107.35 m
a)The speed is found as;
Speed = distance / time
Speed = 50 +95 / 7200
Speed = 0.020 m/sec
b)The velocity is found as;
Velocity = Displacement / time
Velocity = 107.35 / 7200
Velocity = 0.0149 m/sec
Hence the speed and the velcity will be 0.020 m/sec and 0.0149 m/sec.
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Who studied highly successful people and developed the hierarchy of needs?
A) Seligman
B) Rogers
C) Maslow
D) Zimbardo
Abraham Maslow was the person who studied highly successful people and developed the hierarchy of needs. Thus, option C is correct.
Who is Abraham Maslow?Abraham Maslow was one of the most influential psychologists of the twentieth century. His work on humanistic psychology and his development in the hierarchy of needs is very popular.
According to Abraham Maslow, humans have five tiers of needs and they are food and shelter, love and belonging, esteem, safety needs, and self-actualization.
The hierarchy of needs has five basic levels. The bottom level comprises the basic needs of people like food, and shelter. Top-level comprises esteem and self-actualization.
Maslow hierarchy of needs involves the model for understanding human behavior. Hence, Abraham Maslow developed the hierarchy of needs. Thus, the correct option is C.
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A Mercedes-Benz 300SL (m = 1700 kg) is parked on a road that rises 15 degrees above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?
Answer: See below
Explanation:
Given:
Mass of the Mercedes-Benz (m) = 1700 kg
Inclination of the road (θ) = 15.0
The free body diagram is shown in figure attached below
a) The normal force is equal to the cos component of the weight of the car.
[tex]\begin{aligned}&f=m g \cos \theta \\&f=1700 \times 9.81 \times \cos 15 \\&f=16108.74 \mathrm{~N}\end{aligned}[/tex]
b) The static force will be equal to the weight's sin component.
[tex]\begin{aligned}&f=m g \sin \theta \\&f=1700 \times 9.81 \times \sin 15 \\&f=4316.32 \mathrm{~N}\end{aligned}[/tex]
the main source of this energy is
.
Answer:motion
Explanation:
kinetic energy of an object that it possess due to its motion.
I need help asap!!!
Answer:
Probably competition with television news-
by 1953 television was becoming common in many houses and people could obtain news from television newscasts
Which notation is commonly used on force diagrams to show forces acting on an object.
Answer: is F^D
The notation that is commonly used on force diagrams to show forces acting on an object is FD.
What is free body diagram ?A free body diagram is a diagram that contains all the forces acting on an object.
These forces acting on an object include the following :
Upward force (normal reaction due to weight of the object)Downward force (downward force due to weight of the object)Frictional force (force resisting the motion)Thus, the notation that is commonly used on force diagrams to show forces acting on an object is FD.
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1. A supersonic airplane is flying horizontally at a speed of 2610 km/h. What is the centripetal acceleration of the airplane, if it turns from North to East on a circular path with a radius of 80.5 km?
2. How much time does the turn take?
3. How much distance does the airplane cover during the turn?
1)The centripetal acceleration will be 84622.360 km/h².
2)The time the turn take is 0.19 hour.
3)The distance the airplane cover during the turn is 505.54 km.
What is centripetal acceleration?The acceleration needed to move a body in a curved way is understood as centripetal acceleration.
The direction of centripetal acceleration is always in the path of the center of the course. The total acceleration is the result of tangential and centripetal acceleration.
The given data in the problem;
R is the radius= 80.5 m
v is the linear speed = 2610 km/h
a is the total acceleration.
1)
The centripetal acceleration is found by
[tex]\rm a_c = \frac{v^2}{R} \\\\ a_c = \frac{(2610 \ km/h)^2}{80.5} \\\\ a_c = 84622.360 \ km/h^2[/tex]
2)
The time the turn take is;
[tex]\rm a= \frac{4 \pi^2R}{T^2} \\\\\ 84622.360 = \frac{4 \times (3.14)^2 \times 80.5}{T^2} \\\\\ T = 0.19 \ hr[/tex]
3)
The distance the airplane cover during the turn is;
C= 2πR
C=2 × 3.14 × 80.5 km
C= 505.54 km
Hence centripetal acceleration, time the turn take, and distance the airplane cover during the turn will be 84622.360 km/h²,0.19 sec, and 505.54 km respectively.
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There is a current of 0.83 A through a lightbulb in a 120 V circuit. What is the resistance of this lightbulb?
Considering the Ohm's law, the resistance of the lightbulb is 144.58 Ω.
Definition of currentThe flow of electricity through an object, such as a wire, is known as current (I). Its unit of measure is amps (A). So the current is a measure of the speed at which the charge passes a given reference point in a specified direction.
Definition of voltageThe driving force (electrical pressure) behind the flow of a current is known as voltage and is measured in volts (V) (voltage can also be referred to as the potential difference or electromotive force). That is, voltage is a measure of the work required to move a charge from one point to another.
Definition of resistanceResistance (R) is the difficulty that a circuit opposes to the flow of a current and it is measured in ohms (Ω).
Ohm's lawOhm's law establishes the relationship between current, voltage, and resistance in an electrical circuit.
This law establishes that the intensity of the current that passes through a circuit is directly proportional to the voltage of the same and inversely proportional to the resistance that it presents.
Mathematically, Ohm's law is expressed as:
[tex]I=\frac{V}{R}[/tex]
Where:
I is the current measured in amps (A).V the voltage measured in volts (V).R the resistance that is measured in ohms (Ω).Resistance of the lightbulbIn this case, you know that the voltage between two points in a circuit is 120 V and there is a current of 0.83 A.
Replacing in the Ohm's Law:
[tex]0.83A=\frac{120 V}{R}[/tex]
Solving:
0.83 A× R= 120 V
[tex]R=\frac{120 V}{0.83A}[/tex]
R= 144.58 Ω
Finally, the resistance of the lightbulb is 144.58 Ω.
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A planet X moves in an elliptical path as shown below. At which point does the planet moves faster. B Assume, Ethiopian institute of space science and technology, allows to launch a space station with you. While you are in orbit, you gets thirsty. The only thing in the space station were a cup of water. you go to the cup of water and pick it up, But unfortunately your hand is twisted and the cup is turned down. Because the cup is turned down, water pour on to the floor. How would you get water?
We can get water from the sweat and exhaled breath of the people present in the space station.
How would you get water?We can get water from the sweat and exhaled breath. The water we drink is recycled from the sweat and exhaled breath of the people present in the space station which was collected through condensation on the Space Station's walls.
So we can conclude we can get water from the sweat and exhaled breath of the people present in the space station.
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Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,600 kg. The thrust of its engines is 25,500 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.)
(a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon.
m/s2
(b) Could it lift off from Earth? If not, why not?
Yes, the thrust of the module's engines is equal to its weight on Earth.
No, the thrust of the module's engines is equal to its weight on Earth.
No, the thrust of the module's engines is less than its weight on Earth.
Yes, the thrust of the module's engines is greater than its weight on Earth.
If it could, calculate the magnitude of its acceleration. (If not, enter NONE.)
m/s2
(a) The magnitude of acceleration in a vertical takeoff from the Moon will be 0.73 m/s².
(b)Option d is correct.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
Given data;
Force, F =?
Mass of a fully loaded module,m = 10,600 kg
Acceleration due to gravity on moon,g = 1.67 m/s²
Thrust of its engines is,F= 25,500 N.
The net force is found as follows;
[tex]\rm F_{net} = F -W[/tex]
ma = F-W
(10,600) kg × a = 25,500 N - (10,600 kg )(1.67)
a = 0.73 m/s²
b)
Yes, it lifts off from Earth. Because the thrust of the module's engines is greater than its weight on Earth.
F>W
Hence option d is correct.
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Which of the following would be the magnitude of the vector given a horizontal component of 30 and a
vertical component of 40?
Answer:
50
Explanation:
Use the Pythagorean theorem to find the length of the diagonal, or the hypotenuse of an imaginary triangle. 30^2 + 40^2 = 2500, which is 50^2. So, the magnitude is 50.
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