Answer:
v = 10.09 m / s, 8.78 North of East
Explanation:
The easiest way to solve this exercise is to decompose the velocities into a coordinate system, where the x-axis coincides with the West-East direction and the y-axis coincides with the South-North direction.
athlete's velocity v₁ₓ = 3 m / s
wind speed 2 v₂ = 10 m / s with direction 65 north of east
sin 65 = v_{2y} / v₂
cos 65 = v₂ₓ / v₂
v_{2y} = v₂ sin 65
v₂ₓ = v₂ cos 65
v_{2y} = 10 sin 65 = 9.06 m / s
v₂ₓ = 10 cos 65 = 4.23 m / s
wind speed 3 v₃ = 8 m / s with direction 70 south of east
This angle measured from the positive side of the x-axis is
θ = 360 - 70
θ = 290
sin 290 = v_{3y} / v₃
cos 290 = v₃ₓ / v₃
v_{3y} = v₃ sin 290
v₃ₓ = v₃ cos 290
v_{3y} = 8 sin 290 = -7.52 m / s
v₃ₓ = 8 cos 290 = 2.74 m / s
now we can find each component of the velocity
X axis
vₓ = v₁ + v₂ₓ + v₃ₓ
vₓ = 3 + 4.23 + 2.74
vₓ = 9.97 m / s
Y axis
v_y = v_{2y} + v_{3y}
v_y = 9.06 - 7.52
v_y = 1.54 m / s
to find the modulus let's use the Pythagorean theorem
v = [tex]\sqrt{v_x^2 + v_y^2 }[/tex]
v = [tex]\sqrt{9.97^2 + 1.54^2}[/tex]
v = 10.09 m / s
let's use trigonometry for the direction
tan θ = v_y / vₓ
θ = tan⁻¹ v_y / vₓ
θ = tan-1 1.54 / 9/97
θ = 8.78
the address is 8.78 North of East
Croquet balls must have a mass of 0.50 kg. A red croquet ball is moving at 5 m/s. It strikes an at-rest green croquet ball head-on and then continues to move in the same direction, but with a speed of 2 m/s. What is the final speed of the green ball?
A.
5 m/s
B.
0.5 m/s
C.
2 m/s
D.
3 m/s
Answer:
Explanation:
The Law of Momentum Conservation for us has the equation
[tex][m_rv_r+m_gv_g]_b=[m_rv_r+m_gv_g]_a[/tex] and filling in:
[tex][(.50)(5.0)+(.50)(0)]=[(.50)(2.0)+(.50)v_g][/tex] and
2.5 = 1.0 + .50v and
1.5 = .50v so
v = 3 m/s
The final speed of the green ball is 3m/s. This can be calculated by the law of conservation of momentum. Thus, the correct option is D.
What is the law of Conservation of Momentum?
The principle of the law of conservation of momentum states that if any two objects undergo collision, then the total momentum of the objects before and after the collision will be the same if there is no external force acting on the colliding objects.
The Law of Conservation of Momentum has the equation which is:
m₁ × u₁ + m₂ × u₂ = m₁ × v₁ + m₂ × v₂
where, m₁ = mass of object 1,
u₁ = initial velocity of object 1 before collision,
m₂ = mass of object 2,
v₁ = final velocity of object 1 after collision,
v₂ = final velocity of the object 2 after collision.
0.50 × 5 + 0.50 × 0 = 0.50 × 2 + 0.50 × v₂
2.5 + 0 = 1.0 + 0.50 × v₂
2.5 - 1.0 = 0.50 × v₂
1.5 = 0.50 × v₂
1.5/ 0.5 = v₂
v₂ = 3m/s
Therefore, the correct option is D.
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A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answer:
10 N
Explanation:
Given that,
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N.
We need to find how much force is applied to the hammer.
We know that, every action has an equal and opposite reaction. Both the action and reaction occurs in two different objects.
Hence, the force applied to the hammer is equal to 10 N.
a mass hanged on a spring scale. what is the force exerted by gravity on 700g ?
Answer:
6.86 N
Explanation:
Applying,
F = mg............... Equation 1
Where F = Force exerted by gravity on the mass, m = mass, g = acceleration due to gravity
Note: The Force exerted by gravity on the mass is thesame as the weight of the body.
From the question,
Given: m = 700 g = (700/1000) = 0.7 kg
Constant: g = 9.8 m/s²
Substitute these values into equation 1
F = 9.8(0.7)
F = 6.86 N
How many stars in the star rating label of an electrical appliance should be used? Explain your answer.
Answer:
5 Stars
Explanation:
Because every Star from 1 to 5 vary energy consumption of the electrical device...So 5 star product uses a very less energy compared to 1 star product...
Hope it is helpful
There are 0 to 5 star are used in the star rating label of electrical appliance.
What is stars label in electrical appliance?The appliance is more energy efficient if it has more stars on the Energy Rating Label. To perform at the same level as comparable models of the same size or capacity, efficient appliances require less electricity. A model will use less energy and cost you less to run if it is more energy efficient.
Example a 3-star refrigerator saves a lot more energy compared to a 2 star.
Number of stars in the star rating label of an electrical appliance should be used is five for most efficient electrical device.
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can someone please help
Answer: D
Explanation: because doing a yoga desk program is physical activity, 10k steps is pysical activity, riding a bike or walking/running is also physical activity. so it should be D, all of the above.
In Rutherford's model of the atom, the positive charge
A) occupies most of the space in the atom
B) is concentrated at the center of the atom
C) is distributed throughout the atom's volume
D) revolves about the nucleus in specific orbits
Answer:
the correct address is B
In Rutherford's model of the atom, the positive charge is concentrated at the center of the atom.
What is Rutherford's model?The model described the atom as a tiny, dense, positively charged core called a nucleus, in which nearly all the mass is concentrated, around which the light, negative constituents, called electrons, circulate at some distance, much like planets revolving around the Sun.
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Tsunamis are fast-moving waves often generated by underwater earthquakes. In the deep ocean their amplitude is barely noticable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 646 km and traveled a distance of 3630 km in 6.15 h. (a) What was the speed (in m/s) of the wave
Answer:
v =163.95 m/s
Explanation:
Given that,
The wavelength of wave, [tex]\lambda=646\ km=646\times 10^3\ m[/tex]
Distance covered, [tex]d=3630\ km=3630\times 10^3\ m[/tex]
We need to find the speed of the wave. We know that,
speed = distance/time
So,
[tex]v=\dfrac{3630\times 10^3\ m}{22140\ s}\\\\=163.95\ m/s[/tex]
So, the speed of the wave is equal to 163.95 m/s.
WILL GIVE BRAINLIEST! Which statement about gravity is correct?
A. Gravity is the substance that most organisms breathe.
B. Gravity is used in automobiles, as it is required to fuel them.
C. Gravity generally works as a force attracting a body toward earth.
D. Gravity is the result of built up emotions that spread when organisms release energy.
Answer:
Its Letter C Because Gravity's characteristic is to draw objects (including us) toward its center (which in this case, Earth).
[tex]\boxed{\color\red\huge\tt\bold\purple{Question}}[/tex]
Define Inertia.
Answer:
Inertia : a property of matter by which it continue in its existing state of rest or uniform motion in a straight line, unless that state is changed by external force.
HOPE ITS HELPS!!
[tex]\boxed{\color{red}\huge\tt\bold\purple{Answer}}[/tex]
Inertia is the tendency of an object to continue in the state of rest or of uniform motion. The object resists any change in its state of motion or rest.
When a golfer tees off, the head of her golf club which has a mass of 151 g is traveling 43.9 m/s just before it strikes a 46.0 g golf ball at rest on a tee. Immediately after the collision, the club head continues to travel in the same direction but at a reduced speed of 28.2 m/s. Neglect the mass of the club handle and determine the speed of the golf ball just after impact
Answer:
51.54 m/s
Explanation:
Applying,
Law of conservation of momentum,
Total momentum before collision = Total momentum after collision
mu+m'u' = mv+m'v'.................... Equation 1
Where m = mass of the head of the golf club, m' = mass of the gulf ball, u = initial velocity of the head of the gulf club, u' = initial velocity of the gulf ball, v = final velocity of the head of a gulf club, v' = final velocity of the gulf ball
From the question,
Given: m = 151 g = 0.151 kg, u = 43.9 m/s, m' = 46 g = 0.046 kg, u' = 0 m/s (at rest), v = 28.2 m/s
Substitute these values into equation 1
0.151(43.9)+0.046(0) = 0.151(28.2)+0.046(v')
solve for v'
6.6289+0 = 4.2582+0.046v'
0.046v' = 6.6289-4.2582
0.046v' = 2.3707
v' = 2.3707/0.046
v' = 51.54 m/s
Do only number 5 and thank
Answer:
Quantity of charge = 1800 Coulombs
Explanation:
Given the following data;
Current = 1 A
Time = 0.5 hours
Conversion:
1 hour = 60 * 60 = 3600 seconds
0.5 hour = 0.5 * 3600 = 1800 seconds
To find the charge passing through the wire;
Mathematically, the quantity of charge passing through a conductor is given by the formula;
Quantity of charge = current * time
Substituting into the formula, we have;
Quantity of charge = 1 * 1800
Quantity of charge = 1800 Coulombs
Draw Lewis diagram of an oxygen difluoride molecule
Explanation:
that is my answer thank me later
Answer:
oxygen difluoride a polar molecule
(I have 2 questions which are very similar)
Which of the chemical reactions above stores energy?
A. Cellular respiration
B. Photosynthesis
C. Both cellular respiration and photosynthesis
D. Neither cellular respiration nor photosynthesis
15 Which of the chemical reactions above releases energy?
A. Cellular respiration
B. Photosynthesis
C. Both cellular respiration and photosynthesis
D. Neither cellular respiration nor photosynthesis
(help!!!) SCIENCE
Answer:
B
A
Explanation:
please mark as brainliest :)
A steel railroad track has a length of 79 when the temperature is 2◦C. What is the increase in the length of the rail on a hot day when the temperature is 35◦C? The linear expansion coefficient of steel is 11 × 10−6 (◦C)−1.
Answer:
We know that the length is 79 (there are no units of length in the question, so i will leave it as it is written, without units) when the temperature is 2°C.
We want to find the increase in length when the temperature is 35°C, knowing that the linear expansion coefficient is 11*10^(-6) °C^-1
The change in length is just given by the equation:
[tex]\Delta L = \alpha*L_0* (T_1 - T_0)[/tex]
where:
α = 11*10^(-6) °C^-1
T₀ is the initial temperature, so T₀ = 2°C
T₁ is the final temperature, so T₁ = 35°C
L₀ is the initial length, so L₀ = 79
Replacing these in the equation we get:
ΔL = ( 11*10^(-6) °C^-1)*79*(35°C - 2°C)
= 0.28677
So the length of the railroad will increase by 0.28677
The density of dry air at room temperature and atmospheric pressure Is 1.2 kg m-3. What volume would 6 kg of dry air occupy under these conditions?
Answer:
V = 5 m³
Explanation:
The density of air, d = 1.2 kg/m³
Mass of the dry air, m = 6 kg
We need to find the volume o the gas. We know that, the density of an object is given by mass divided by its volume. So,
[tex]d=\dfrac{m}{V}\\\\V=\dfrac{m}{d}\\\\V=\dfrac{6}{1.2}\\\\V=5\ m^3[/tex]
So, the volume of the dry air is 5 m³.
A battery has a potential resistance of 12 V and a current of 1280 mA. What is the resistance? PLS HELP ME ASAPPPPPPPPPP
Resistance (R) = 9.375 ohm (Ω)
Steps:
[tex]R = \frac{V}{I} [/tex]
[tex] = \frac{12 \: volt}{1280 \: milliampere} [/tex]
[tex] = \frac{12 \: volt}{1.28 \: ampare} [/tex]
[tex] = 9.375 \: ohm (Ω)[/tex]
1 Ten (10) ml aqueous solutions of drug A (10% w/v) and drug B (25% w/v) are stored in two identical test tubes under identical storage conditions at 37°C for 3 months. If both drugs degrade by first-order, which drug will retain the highest percentage of initial concentration?
Answer:
YOUR answer is given below:
Explanation:
Drug B will retain the highest percentage of initial concentration.
First order degradation means that both solution will degrade by same amount in same time because first order is directly proportional relationship between given both aqueous solution.
Given that Ten (10) ml aqueous solutions of drug A (10% w/v) and drug B (25% w/v) are stored in two identical test tubes.
Since, initially concentration of Drug B is more. Therefore, at all instant concentration of Drug will be highest.
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What 3 things does the force of gravity depend on?
Answer:
Size of an object, and the distance between the objects.
When the mass of an object increases the force of gravity increases as well.
Explanation:
The magnitude of this force depends upon the mass of each object and the distance between the centers of the two objects. Mathematically, we say the force of gravity depends directly upon the masses of the objects and inversely upon the distance between the objects squared.
How much energy is transferred when the potential difference is 230 volts and the charge is 5 coulombs?
Answer:
1150J
Explanation:
Voltage = energy / charge
energy = Voltage * charge
energy = 230v * 5C = 1150J
Please solve it as soon as possible with steps
Answer:
In 1 round 62.857m
In 1.5 round 94.2855m
In 2 round 125.714m
In 2.5 round 157.1425
Una mochila tiene una masa de 5.9 Kg y se mueve con una aceleración de: 0.53 m/ seg2. ¿ Cuál es la fuerza que debe aplicar ?.
Answer:
3,13 N
Explanation:
Del enunciado de la segunda ley del movimiento de Newton;
F = ma
Dónde;
F = Fuerza aplicada
m = masa del cuerpo
a = aceleración del cuerpo
Sustitución de valores;
F = 5,9 kg * 0,53 m / seg2 = 3,13 N
Por tanto, la fuerza aplicada es 3,13 N
1) Num sistema isolado tenho 4 tipos de corpos diferentes. A, B, C e D. A está em equilíbrio térmico com B. B está em equilíbrio térmico com C. D está em equilíbrio térmico com A. Esse sistema está transmitindo energia entre seus corpos? Justifique sua resposta.
Answer:
Yes.
Explanation:
Yes, this system transmitting energy between your bodies because everybody is in thermal equilibrium with other body. Thermal equilibrium occurs when there is same amount of thermal energy is gained by the body and same amount of energy lost by the body so there is no increase or decrease occur in the thermal energy of each body so we can say that the system transmitting energy between the bodies.
why is mercury used in floresent lamp?what is the use of choke.
Answer:
The purpose of the choke is to provide a very high voltage initially between the filaments (across the two ends of the tube light). Again once the gas in the tube is ionized the choke provides a low voltage. A choke is a coil of wire. Fluorescent tubes/lamps are filled with mercury vapor
Explanation:
i hope it will help you
Eight 7.0W Christmas tree lights are strung in series to a 110 V light source. What is the resistance of each bulb?
Answer:
Resistance = 1728.57 Ohms
Explanation:
Given the following data;
Power = 7 Watts
Voltage = 110 Volts
To find the resistance of each bulb;
Mathematically, power can be calculated using the formula;
[tex] Power = \frac {Voltage^{2}}{resistance} [/tex]
Making resistance the subject of formula, we have;
[tex] Resistance = \frac {Voltage^{2}}{power} [/tex]
Substituting into the formula, we have;
[tex] Resistance = \frac {110^{2}}{7} [/tex]
[tex] Resistance = \frac {12100}{7} [/tex]
Resistance = 1728.57 Ohms
the gravity on mars is 3.8 m/s2 and you weigh 200 N. your mass will be??
Answer:
Mass = 52.63 kilograms
Explanation:
Given the following data;
Acceleration due to gravity = 3.8 m/s²
Weight = 200 N
To find mass;
Mathematically, the weight of a physical object is given by the formula;
Weight = mass * acceleration due to gravity
Substituting into the formula, we have;
200 = mass * 3.8
Mass = 200/3.8
Mass = 52.63 kg
When a pupil plays her flute in the classroom the window vibrates. Why?
Answer:
he sound waves travel to the window in the form of vibrations of air molecules. The air molecules near to the window receive the vibration and hit the window thereby passing on on the vibration.
The sound waves are transmitted to the window as air molecule vibrations. The vibration is transmitted to the window by hitting nearby air molecules that have picked up the disturbance.
What is Vibration?Vibration is a periodic back-and-forth motion of the particles in an elastic body or medium that occurs when practically any physical system is moved out of its equilibrium condition and is left to react to forces that work to bring it back into balance.
Free and forced vibrations are the two types of vibrations. Free vibrations happen when the system is briefly perturbed and then allowed to move unrestrained. A weight suspended from a spring offers a timeless illustration. The system has the least amount of energy and the weight is at rest in an equilibrium state. The system will respond by vibrating vertically if the weight is dragged down and then let go.
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a string 2m long used to whirl a 200gm stone in horizontal circle at a speed of 2m/s . find the tension in the string
Answer:
Explanation:
First off, we need the mass in kg and it's in g so we have to convert it. Then we can do the problem. 200 g = .200 kg. Moving on.
The equation used to find the tension in the string is the same one we use to find the centripetal force, because the tension is what is upplying the centripetal force needed to keep the stone moving in a circular manner. The formula for that is
[tex]F_c=T=\frac{mv^2}{r}[/tex] where ma is the mass in kg, v is the velocity in m/s, and r is the radius of the circle about which the stone spins in meters.
Filling in:
[tex]T=\frac{(.200)(2)^2}{2}[/tex] which gives us
T = .4 N
Thermal physics vs atomic physics ...which is easier?
Answer:
Thermal physics
Explanation:
Because it uses temperature
Answer:
In my opinion both are easier if you'll work hard on it...
Find equivalent resistance.
Answer asap and please, please don't spam.
Answer:
R = 4.77 ohms
Explanation:
Four resistors are given such that,
R₁ = 2 ohms
R₂ = 3 ohms
R₃ = 5 ohms
R₄ = 10 ohms
Here, R₁ and R₂ in series. The equivalent is given by :
R₁₂ = R₁ + R₂
= 2 + 5
R₁₂ = 7 ohms
Similarly, R₃ and R₄ are in series. so,
R₃₄ = R₃ + R₄
= 10+5
R₃₄ = 15 ohms
Now, R₁₂ and R₃₄ are in parallel. So,
[tex]\dfrac{1}{R}=\dfrac{1}{R_{12}}+\dfrac{1}{R_{34}}\\\\\dfrac{1}{R}=\dfrac{1}{7}+\dfrac{1}{15}\\\\R=4.77\ \Omega[/tex]
So, the equivalent resistance s 4.77 ohms.
What is the frequency of a wave that passes a given point 412 times in 4.0
seconds?
O A. 0.0097 s
OB. 103 Hz
O C. 408 S
O D. 1650 Hz
SUBMIT
Answer: A.0,0097s
Mas a unidade aí deveria ser Hertz (Hz)
Explanation:
Answer:
103 hz
Explanation: