The tension in the strings are 31.47 and 19.25 N respectively.
Mass of the block, m = 3 kg
From the figure, consider the vertical components,
T₁ sin45° + T₂ sin30° = mg
(T₁/√2) + (T₂/2) = 3 x 9.8 = 29.4
Also, consider the horizontal components,
T₁ cos45° = T₂ cos30°
T₁/√2 = T₂ x√3/2
T₁ = T₂ x √3/2 x √2
So,
T₁ = 0.612T₂
Applying in the first equation,
(T₁/√2) + (T₂/2) = 29.4
(0.612T₂/1.414) + 0.5T₂ = 29.4
0.434 T₂ + 0.5 T₂ = 29.4
0.934 T₂ = 29.4
Therefore, the tension,
T₂ = 29.4/0.934
T₂ = 31.47 N
So, the tension,
T₁ = 0.612 T₂
T₁ = 0.612 x 31.47
T₁ = 19.25 N
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B (B=26.5)
56.0%
A (A = 44.0)
28.0°
C(C=31.0)
< 1 of 1 >
Part A
Given the vectors A and B shown in the figure ((Figure 1)), determine the magnitude of B-A
Express your answer using three significant figures.
195] ΑΣΦ
|B-A =
Determine the magnitude of B-A is 53.68
1.4
Magnitude is a term used to describe size or distance. We can relate the magnitude of the movement to the size and movement speed of the object. The magnitude of a thing or an amount is its size. A car moves at a faster pace than a motorcycle, just in terms of speed.
Magnitude is the relative size of an object (mathematics). The mathematical term for a vector's length or size is the norm. By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length of a given vector (let's say v). This amount is essentially the distance between the vector's beginning point and ending point.
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When I mix 200g of water at 10°C with 300g of water at 55°C, what is the final temperature of the mixture?
Answer:
4th of August is the
Explanation:
5th and then I can help out by getting
A proton traveling due west in a region that contains only a magnetic field experiences a vertically upward force (away from the surface of the earth). What is the direction of the magnetic field?
South
Explanation:
The magnetic force F on a point charge moving with a velocity v in the presence of a magnetic field B is given by
\(\vec{\textbf{F}} = q\vec{\textbf{v}}\textbf{×}\vec{\textbf{B}}\)
and according to the right-hand rule, an upward magnetic force on a proton moving westward is only possible if the magnetic field is directed southward.
A 45 Kg object is given a net force of 500 n what is its approximate acceleration
The acceleration of the object is 11.11 m/\(s^2\) (approximately).
What is acceleration?The rate of change of velocity of a body with respect to time is known as acceleration. Due to having both magnitude and direction, it is a vector quantity having SI unit m/s^2.
Given parameter,
The mass of the object, m = 45 Kg.
Net force acting on the object, F = 500 N.
Acceleration of the object, a= ?
From Newton's 2nd law of motion,
Force = mass × acceleration
⇒ F = ma
⇒ a = F/m
= 500 N /45 Kg
= 11.11 m/s^2. (approximate)
Hence, the approximate value of acceleration of the object, a = 11.11 m/s^2.
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About the four terrestrial planets (Earth, Mars, Mercury, and Venus), which of the following statements is NOT correct?A. The orbital periods of the four planets in order from shortest to longest are: Mercury, Venus, Earth, and MarsB. The distances from the Sun for the four planets in order from closet to farthest are: Mercury, Venus, Earth, and MarsC. The four planets all have mantle, core, and stable atmospheric layersD. The four planets in order from smallest to biggest are: Mercury, Mars, Venus, and Earth
All four planets contain stable atmospheric layers, a mantle, and a core. One of the following is FALSE regarding the four terrestrial planets (Earth, Mars, Mercury, and Venus).
Which of the following traits do the four terrestrial planets share?Terrestrial planets include Mercury, Venus, Earth, and Mars because of their compact, stony surfaces that resemble terra firma on Earth. The four innermost planets in the solar system are the four terrestrial planets.
What are the four features of planets that are terrestrial?The four innermost planets are known to as terrestrial planets and feature a moon or moons, valleys, volcanoes, and craters. They also have a liquid heavy-metal core.
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B. Complete the lists:
Things that I must do for my family
Things I must never do to my family
1.
2.
2.
3.
3.
4.
5.
5.
Answer:
Things you should do for your family
help your parentstreat them kindlylisten and obey themappreciate them for anything they do for you talk softlythings you shouldn't
backanswering them Disobey And anything that's harsh or make it parents sadWhich law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
Answer: The scenario violates the second law of thermodynamics.
Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.
Which of the following quantities are vectors?
O charges
O electric fields
O energy
O potentials
Answer:
b
Explanation:
electric fields is a vector
A guitar player tunes her strings so thatthere is a beat frequency of 1.0 Hzbetween them. If one string has afrequency of 220 Hz, what is thefrequency of the other string? (Thereare two possible answers; give one.) -(Unit = Hz)
Fb = beat frequency = 1 Hz
F1 = frequency 1 = 220 Hz
Fb = l F1 - F2 l or
Fb= l F2 - F1 l
Replacing:
1 = 220 - F2
f2 = 220 - 1
f2 = 219 HZ
If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin
The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.
1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).
2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.
3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.
4. However, the given equation does not explicitly mention resistance.
5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).
6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.
7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).
8. Therefore, V = VR + VL.
9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.
10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.
The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.
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The efficiency of the power station is 0.38(38%). Its electrical power output is 1.9x10^9 W. Calculate the input to the power station
The input to the power station is 5x10^9 W. This means that the power station requires an input of 5x10^9 watts to produce an electrical power output of 1.9x10^9 watts with an efficiency of 38%.
The efficiency of a power station is defined as the ratio of its output power to input power. Therefore, we can use the efficiency and the electrical power output of the power station to calculate its input power as follows:
Efficiency = Output power / Input power
Solving for input power, we get:
Input power = Output power / Efficiency
Substituting the given values, we get:
Input power = 1.9x10^9 W / 0.38
Input power = 5x10^9 W (to two significant figures)
The rest of the input power is lost as heat due to inefficiencies in the power generation process.
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A spring with constant 200 N/m is stretch 2 m. How much EPE does it have?
The displacement of a 1.5 kg mass is then determined using the formula x = F/k. stretching a spring 2 cm from its equilibrium position need twice as much effort as stretching it a distance of x
W = 1/2kx2 = 1.96 Joules.
Does stretching a spring 2 cm from its equilibrium position need twice as much effort as stretching it 1 cm from equilibrium position?Actually, it requires more than twice as much labour since, as the spring extends, more power is needed to do so.
The shear strength and shear modulus of a compression spring formed of music wire with a 2mm diameter are 800 MPa and 80 GPa, respectively.
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if a thermometer indicates a temperature of 86F what's the equivalent temperature in Celsius scale
The equivalent temperature in Celsius scale is (86°F − 32) × 5/9 = 30°C
Take the °F temperature and subtract 32
Multiply this number by 5.
Divide this number by 9 to obtain your answer in °C.
The formula to convert °F to °C is:
T(°C) = (T(°F) - 32) × 5/9
converting 86 degrees Fahrenheit into degrees Celsius:
T(°C) = (86°F - 32) × 5/9
T(°C) = 30 °C
(86°F − 32) × 5/9 = 30°C
When doing the temperature conversion, one quick way to make certain you did the conversion right is to remember Fahrenheit temperatures are higher than the corresponding Celsius scale until you get down to -40°, which is where the Celsius and Fahrenheit scales meet. Below this temperature, degrees Fahrenheit are lower than degrees Celsius.
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a standard bathroom scale is placed on an elevator. A 34 kg boy enters the elevator on the first floor and steps on the scale. What will the scale read (in newtons) when the elevator begins to accelerate upward at 0.4 m/s2
Answer:F = 255 N
Explanation:
It is given that,
Mass of the boy, m = 25 kg
Acceleration of the elevator,
The elevator is accelerating in upward direction. The net force acting on the boy is given by :
g is the acceleration due to gravity
F = 255 N
The scale reading is 255 N as it begins to accelerate upward. hence, this is the required solution.
If an 8m long string is in its twelfth harmonic, what is the wavelength of standing waves on the string?
If an 8m long string is in its twelfth harmonic, the wavelength of standing waves on the string will be 1.33cm approximately.
What is a Twelfth Harmonic?The harmonics on the 12th fret are one octave above the open strings, while the harmonics on the 5th fret are two octaves above the open strings.
To arrive at the above answer, we deploy the "harmonic" wavelength principle which states that the "nth" wavelength is equal to the fundamental wavelength divided by n. That is:
λn = λ1/n
Where:
λn = wavelength of standing wavesλ1 = 2L (Wavelength of the first harmonic)n = harmonic being determined which in this case is 12Hence,
λn = (2 x 8)/12
λn = 1.33333333333
λn \(\approx\) 1.33cm.
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Explain What's make up macromolecules?
Answer:
Atoms
Explanation:
Atoms make up everything
1. What is the definition of work done?
2. What is the unit for energy?
3.
The engine of Tilly's car exerts a force of 750N. How much
energy would be transferred by the engine if the car moved a
distance of 100m?
4.
Rehana is holding an object of weight 50N is raised by a height
of 200cm. What is the work done in raising the object?
5.
700J of energy is used by Ikram to move a distance of 10m.
What is the force exerted by the person as they walk the
distance?
6. Hifza has a weight of 200N. Aymen has a weight of 350N. If
1000) of energy is used to raise each object, which object will
gain the most height?
The combination of a force's constituent acting inside the displacement's direction as well as its magnitude would be known as the work done mostly via force.
1) Work is done when an applied force produces mobility in a body.
Mathematically , Work = Force x displacement
2) Unit for energy is Joule.
3) Energy can be calculated by such as:
Work = F s
750 x 100 = 75000J would be transferred by engine if car moved a distance of 100m.
4)For the case of Rehana : 200 cm converted to 2m .
again using same concept , W=FS
50 x 2=100J of work done in raising the object.
Energy consumed = 700 J
Distance (Displacement) = 10 m
7) We know work done is also a type of energy which tells the energy consumed by anything in order to move a distance, We know
⇒ Work done = Force × Displacement
⇒ 700 = F × 10
⇒ F = 70 newton
Hence, The force exerted by the person as walked the distance is 70 newton.
6) For the hifza case:- 200N will take more height because it is lighter than 350N so we can do it upward and downward as it is lighter and the energy used is 1000J .
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By how much will the velocity of a vehicle change if it accelerates at 10 m/s/s for a period of 10 seconds
Answer:
Explanation:
we know that the time rate of change of velocity is called acceleration mathmetically;
a=Δv/Δt
Δv=a*Δt
a=10 m/s²
t=10 sec
Δv=10*10=100 m/s
An 12.000 milligram particle is sliding across a friction-less one-dimensional path at 55.000 m/s and collides with a 68.000 milligram particle moving at -48.000 m/s in a perfectly inelastic collision. What are the velocities of the particles after the collision?
answer with correct units
Answer:
-3525.000 m/s
Explanation:
In a perfectly inelastic collision, the two particles stick together and move with a common velocity after the collision. We can use the conservation of momentum to solve for this common velocity.
The initial momentum of the system is:
p_initial = m1 * v1 + m2 * v2
= (12.000 mg)(55.000 m/s) + (68.000 mg)(-48.000 m/s)
= -282.000 kg·m/s
Here, we convert the masses to kilograms to match the units of velocity.
Since the particles stick together after the collision, their masses add up:
m_final = m1 + m2
= 12.000 mg + 68.000 mg
= 80.000 mg
= 0.080 g
Now, we can use the conservation of momentum to find the final velocity:
p_final = m_final * v_final
where p_final = p_initial and m_final = 0.080 g.
Therefore:
v_final = p_final / m_final
= -282.000 kg·m/s / 0.080 g
= -3525.000 m/s
A car starting at rest accelerates at 3m/s² How far has the car travelled after 4s?
Answer:
24m
Explanation:
you can use the formula
s=ut+1/2at²
s=0+1/2(3)(4)²
=1/2(3)(8)
=24m
I hope this helps
How close would you have to bring 1 C of positive chargeand 1 C of negative charge for them to exert forces of 1 N onone another?
Answer:
94,800 m
Explanation:
F = kq1 q2/r^2
1 = 9 x 10^9 x 1 / r^2
A 487 kg bear grasping a vertical tree slides
down at constant velocity.
The acceleration of gravity is 10 m/s².
What is the friction force that acts on the
bear?
Answer in units of N.
Answer:
4870 N
Explanation:
Since he is not accelerating
the force is equal to his weight mg = 487 * 10 = 4870 N
Fern life begins as _____.
a spore
a sperm
an egg
You are driving home from school St at 97 km/h for 190 km and then it begins to rain and you slow to 61 km/h instantly you arrive home after five hours how far is your hometown from school
The distance of your hometown from school is 318.64 km.
Given data
Distance S = 190 km
Speed v = 97 km / h
Now, the time taken to travel S distance is calculated as,
t = S / v
t = 180 / 95
t = 1.958 hrs
Now, the total time is given as
Total time T = 4.0 h
So, remaining time t ' = T - t = 4 hrs - 1.958 hrs = 2.042 hrs
Now, the velocity after travel 190 km is v ' = 63 km/ h
Distance travel in this velocity S ' = v ' t '
= 128.6 km
Now, the distance of your hometown from school , S " = S + S '
= 190 km + 128.6 km = 318.64 km
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Which of the following describes the role of C6H12O6 in the Calvin cycle?
Answer:
C6H12O6 is the final product of Calvin cycle light independent reactions
Explanation:
* steps in Calvin cycle
: carbon fixation
: reduction
: regeneration
for C6H12O6 it requires 2 molecules of PGAL or G3P
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As a steel beam is winched up to the top floor of a new building, the mechanical energy is being converted into what?Light energyKinetic energyThermal energyPotential energy
Given that a steel beam is winched up to the top floor of a new buiding, let's determine the new foem of energy.
Mechanical energy is the sum of kinetic energy and potential energy.
The steel beam currently has a mechanical energy. Since the steel beam is now at the top of a new building, the mechanical energy is being converted to potential energy.
Potential energy is the energy held by an object due to its position relative to other objects. It is the energy stored from an object.
Since the steel beam is now at the top of the building, it has the potential to fall.
Therefore, the mechanical energy is now being converted to potential energy.
ANSWER:
Potential energy
Question 1 An object of mass 20kg accelerates from rest to a velocity of 10m/s in 5 sec. calculate the distance covered by the object
Answer:
25 m
Explanation:
Let's assume that its acceleration is constant. We can determine the acceleration of the object by its definition
\(a= \frac{\Delta v}{\Delta t} = \frac{10-0(\frac ms)}{5 s} = 2 \frac m{s^2}\)
Now we can write the equation of motion
\(s(t)= s_0 + v_0t + \frac12at^2\)
where, the two terms \(s_0\ v_0\) represent the initial position and velocity respectively. Replacing the values we have ("from rest" means that initial velocity is 0)
\(s(5) = 0+0(5)+\frac12 2 (5)^2 = 25 m\)
the two blocks in (figure 1) are connected by a heavy uniform rope with a mass of 4.00 kg . an upward force of 200 n is applied as shown.
The force is an external agent which is capable of changing a body's state of rest or motion. The acceleration due to gravity is 12.5 m/s².
What is force?The push or pull on an object with mass causes it to changes its velocity is defined as the force. The direction towards which the force is applied is called the direction of the force and the application of the force is the point where force is applied.
The SI unit of force is Newton. The equation which connects the force with mass and acceleration is given by:
F = ma
Total mass = 5 + 4 + 7 = 16
a = F / m
= 200 / 16
= 12.5 m/s²
Thus the acceleration of the system is 12.5 m/s².
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Customers take plates from the cart described above. As a result, the spring moves up to be compressed by
only 0.30 m. What is the change in elastic potential energy?
As the spring moves up to be compressed by only 0.30 m, the change in elastic potential energy will be 0.045 k J.
Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring.
Given,
The spring moves up to be compressed by a displacement = 0.30 m
And the elastic potential energy (U) for a spring can be calculated as:
\(U = \frac{1}{2} k x^{2}\)
Where k = spring constant and is measure in N/m
and x = change in length of the spring or the displacement of the spring
\(U = \frac{1}{2} k (0.30)^{2}\)
\(=\frac{1}{2} k (0.09)\)
\(=0.045 k\) J
Hence, the change in elastic potential energy is 0.045 k J.
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A horizontal force is applied to a 4.0 kg box. The box starts from rest moves a horizontal distance of 8.0 meters and obtains a velocity of 6.0 m/s. The system is frictionless. What is the horizontal force?
The horizontal force applied to the 4.0 Kg box is 9 N
We'll begin by obtaining the acceleration of the box. This can be obtained as follow:
Initial velocity (u) = 0 m/sFinal velocity (v) = 6.0 m/s Distance (s) = 8.0 mAcceleration (a) =?v² = u² + 2as
6² = 0² + (2 × a × 8)
36 = 0 + 16a
36 = 16a
Divide both sides by 16
a = 36 / 16
a = 2.25 m/s²
How to determine the horizontal forceThe horizontal force can be obtained as follow:
Mass (m) = 4 KgAcceleration (a) = 2.25 m/s²Horizontal force (F) =?Horizontal force = mass × acceleration
Horizontal force = 4 × 2.25
Horizontal force = 9 N
This, the horizontal force exerted on the box is 9 N
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