Notice that both strings have the same length, so they form an isosceles triangle, which means the angles they make with the ceiling are congruent.
If this angle has measure θ, then the angle between the two strings T₁ and T₂ has measure 180° - 2θ. This is because the interior angles of any triangle sum to 180°.
By the law of cosines, we have
(1 m)² = (0.87 m)² + (0.87 m)² - 2 (0.87 m)² cos(180° - 2θ)
Solve for θ :
(1 m)² = 2 (0.87 m)² - 2 (0.87 m)² cos(180° - 2θ)
(1 m)² / (2 (0.87 m)²) = 1 - cos(180° - 2θ)
cos(180° - 2θ) = 1 - (1 m)² / (2 (0.87 m)²)
cos(180° - 2θ) ≈ 0.3394
180° - 2θ = arccos(0.3394)
180° - 2θ ≈ 70.159°
2θ ≈ 109.841°
θ ≈ 54.9205° ≈ 55°
A350kg car is moving 16m/s north and collides with a 650kg truck going 11m/s east.if it lock bumpers,how fast and in what direction will they are going after the collision
Hi there!
We can begin by breaking the problem up into two directions, horizontal and vertical.
The collision is perfectly inelastic since the two objects stick, so:
1 = car
2 = truck
Momentum in the east direction (positive and horizontal, car NOT going in this direction has a velocity of 0 m/s):
m2v2 = (m1 + m2)v
(650 · 11) / (350 + 650) = 7.15 m/s
Momentum in the north directions (only initial is the northward velocity of the car):
m1v1 = (m1 + m2)v
(350 · 16)/(350 + 650) = 5.6 m/s
Find the overall velocity using the pythagorean theorem:
√(5.6²) + (7.15²) = 9.08 m/s
Find the direction using trigonometry. Use tangent in this situation:
tan Ф = O/A
tan⁻¹(5.6/7.15) = 38° north of east
A light, inextensible cord passes over a light,
frictionless pulley
with a radius of 7.2 cm
It has a(n) 16 kg mass on the left and a(n)
6.7 kg mass on the right, both hanging freely.
Initially their center of masses are a vertical
distance 4.2 m apart.
The acceleration of gravity is 9.8 m/s^2
The question tied to it is…
What is the tension
in the cord when they
pass each other?
Answer in units of N.
Answer: T = 93 N
Explanation:
Assuming the pulley is ideal meaning frictionless as mentioned and also negligible mass.
ΣF = Σma
Mg - mg = Ma + ma
a = g(M - m) / (M + m)
Now looking only at the larger mass as it falls
Mg - T = Ma
T = Mg - Ma
T = Mg - Mg(M - m) / (M + m)
T = Mg(1 -(M - m) / (M + m))
T = 16(9.8)(1 - (16 - 6.7) / (16 + 6.7))
T = 93 N
or looking only at the smaller mass
T - mg = ma
T = m(g + a)
T = m(g + g(M - m) / (M + m))
T = mg(1 + (M - m) / (M + m))
T = 6.7(9.8)(1 + (16 - 6.7) / (16 + 6.7))
T = 93 N
Which type of heat transfer takes place in gases by the movement of particles through a medium?
Answer: Convention
Explanation: Convention is pretty well known for being a process that transmits heat from one place to another place with the movements of heated particles. I got this answer from my notebook during my chemistry class.
Hope this answer helps!
An elevator cable winds on a drum of radius 77.1 cm that is connected to a motor.
If the elevator moves down 8.60 m, how many revolutions has the drum made?
define THERMODYNAMICS
Thermodynamics is the branch of physical science that deals with the relations between heat and other forms of energy (such as mechanical, electrical, or chemical energy), and, by extension, of the relationships between all forms of energy.
what are triglycerides?
Answer:
an ester formed from glycerol and three fatty acid groups. Triglycerides are the main constituents of natural fats and oils.
Explanation:
HOPE IT HELPS
Answer:
is the answer.......,...............
A chemical reaction produces two new substances and each product has a mass of 25 g what was the total mass of the reactants ?
Answer:
The total mass of the reactants is 50 grams.
Explanation:
[tex]25g+25g=50g\\[/tex]
I hope this helps!
The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting. The distribution is
approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
Chicken Consumption
What percentage of adults eat between 9.2 and 11.6 ounces of chicken in one sitting?
Answer: 15.85
Explanation:
E21
can someone pls help meee
Answer:
A
Explanation:
PLEASE MARK AS BRAINLIEST!!!!!What does the skeletal consist of?
Answer:
Bones
Explanation:
Answer:
The skeletal system is your body's central framework. It consists of bones and connective tissue, including cartilage, tendons, and ligaments. It's also called the musculoskeletal system.
Explanation:
CAN YOU GIVE ME BRAINLIEST
u= (-5,3) find the magnitude of u. please help me
u = 5.83
Explanation:
The magnitude of a vector [tex]\vec{u}[/tex] is
[tex]|\vec{u}| = \sqrt{u_z^2 + u_y^2} = \sqrt{(-5)^2 + (3)^2}[/tex]
[tex]\:\:\:\:\:\:\:= \sqrt{34} = 5.83[/tex]
celera
An
A force F = 89.2 N acts at an angle a = 38°
with respect to the horizontal on a block of
mass m = 26.8 kg, which is at rest on a
horizontal plane.
The acceleration of gravity is 9.81 m/s2.
If the static frictional coefficient is pls
0.74, what is the force of static friction?
=
Hi there!
We know that the MAXIMUM static friction force to be overcome is:
Fs (Force of Static Friction) = μN (Normal Force)
The normal force is equal to the weight of the block AND the vertical component of the applied force, so:
N = Mg + Fasinθ
Plug in the given values:
N = 26.8(9.81) + (89.2)sin(38) = 317.825 N
Multiply by the force of static friction to derive the static force:
0.74 * 317.825 = 325.191 N <-- MAXIMUM STATIC FRICTION FORCE
The force applied, if not greater than this value, will result in an EQUAL and OPPOSITE static frictional force. Thus:
Fs = Horizontal component of the applied force
Fs = 89.2cos(38) = 70.291 N
A jet plane flying 600 m/s experiences an acceleration of 39.24 m/s² when pulling out of the circular section of a dive. What is the radius of curvature of this section of the dive?
The options are:
1.2 km
5.8 km
0.64 km
9.2 km
7.0 km
Answer:
Explanation:
If we are to assume that the plane is at the bottom of a circular movement and just about to depart in level flight, then
(39.34 - 9.81) = 600²/R
R = 12,190.992211... m
Which is very close to the 1.2 km option
1. production of a ____often caused by fizzing and_____
2.Produces an____
Change in____ or_____ (heat, light, sound)
Gawain sa Pagkatuto Buang 1: Nakikita mo ba ang mga ito saljuidie di of the di hp ku di of 1. ataupie. pidi bek gagah kitoe Iek song di
I am not able to understand..
What are you saying?
An ideal gas occupies a volume of 1cm^ atv20°c and atmospheric pressure determine the number of molecules of gas in the container
Answer:
By Charles Law the volume of 1 cm^3 at standard conditions is
V = V0 * 273 / 293 = 1 cm^3 * .932 cm^3
Reducing the temperature to 0 deg C results in a volume of .932 cm^3
1 mole of gas contains 22.4 L of gas
1 L = 1000 cm^3
1000 cm^3 / L / (.932 cm^3 / container) = 1073 containers / L
So 1 mole of gas = 1073 containers * 22.4 L /container = 24,305 L
6.02E23 molecules / mole * 1 / 24305 molecules / mole = 2.48E19
number of molecules present = 2.48 * 10^19
(Easier to calculate volume of 1 cc
1 cc = 6.02E23 / (1000 * 22.4) = 2.69E19 molecules in 1 cc
Vol of 1cc = 273 / 293 = .932
2.69E19 * .932 = 2.51 * 10^19)
Một ròng rọc có dạng khối lượng 3kg, bán kính 20cm, người ta treo hai quả nặng có khối lượng m1= 2kg và m2 = 5kg vào hai đầu một sợi dây vắt qua một ròng rọc có trục quay cố định nằm ngang, sợi dây không dãn và không trượt trên ròng rọc. Lấy gia tốc trọng trường g = 10m/s2g. Gia tốc của các vật là bao nhiêu?.
Answer:Một ròng rọc có dạng khối lượng 3kg, bán kính 20cm, người ta treo hai quả nặng có khối lượng m1= 2kg và m2 = 5kg vào hai đầu một sợi dây vắt qua một ròng rọc có trục quay cố định nằm ngang, sợi dây không dãn và không trượt trên ròng rọc. Lấy gia tốc trọng trường g = 10m/s2g. Gia tốc của các vật là bao nhiêu
Explanation:
jeff walked 3 blocks south, 5 blocks west, and then another 3 blocks south. which diagram has the correct vectors for jeff's walk and his displacement? remember, the starting point of each part of the trip is the beginning of the arrow and the ending point is the pointed end of the arrow.
Answer:
The one that looks similar to this one.
Explanation:
Blue vectors are path
Green vector is total displacement
Which of these sets of thesis-antithesis IS NOT appropriate according to the instructions given by your instructor because it is too broad?
There are 100000 billion billion ......systems
A plane flying due north at 191 mph encounters winds that blow the plane due east at 45 mph. Determine the plane's resultant velocity. Record your answers to the nearest tenth.
Answer:
Below
Explanation:
For these types of questions, you should draw out your triangles and resultant vectors.
For this, we can use the pythagorean theorem to solve this :
vpf^2 = vpi^2 + vw^2
vpf^2 = 45^2 + 191^2
vpf = [tex]\sqrt{38507[/tex]
vpf = 196.2294
vpf = 200 mph
Now we need to find the angle of the plane's direction using soh cah toa
Tan(x) = O / A
x = tan^-1(191/45)
x = 76.74
x = 77 degrees
Therefore, the plane's result velocity is 200 mph [ E 77 N ]
Hope this helps!
1. What is meant by the phrase, "a sound mind and a sound
body'?
Answer:
A sound mind in a sound body implies that you're capable of positive thinking for a better quality of life and physical functioning. When you exercise, your body releases endorphins, a chemical that triggers a positive response in the body. This shows that the more you sweat, the better you feel about yourself.
Explanation:
Calculate the acceleration of the object as it slides down the incline plane.
Answer:
0.788 m/s²
Explanation:
Ff = 0.1 × 5 kg × 10 m/s² × cos 38°
Ff = 5 N × 0.788
Ff = 3.94 N
F = m × a
3.94 N = 5 kg × a
a = 3.94 N / 5 kg
a = 0.788 m/s²
If you throw a ball up into the air and it reaches its original height after 6 seconds, calculate how high above its original position the ball reached. (Answer to two decimal places).
Explanation:
Assuming that there is no air resistance, the given time means that the ball reached its maximum height 3 seconds after throwing it upwards so we can solve its
maximum height by solving for [tex]v_{0y}[/tex] first:
[tex]v_y = v_{0y} - gt \Rightarrow v_{0y} = gt[/tex]
[tex]v_{0y} = (9.8\:\text{m/s}^2)(3\:\text{s}) = 29.4\:\text{m/s}[/tex]
Now that we know [tex]v_{0y},[/tex] we can now solve for [tex]y_{max}:[/tex]
[tex]y_{max} = v_{0y}t - \frac{1}{2}gt^2[/tex]
[tex]\:\:\:\:\:\:=(29.4\:\text{m/s})(3\:\text{s}) - \frac{1}{2}(9.8\:\text{m/s}^2)(3\:\text{s})^2[/tex]
[tex]\:\:\:\:\:\:=44.1\:\text{m}[/tex]
DUE IN 3 HOURS! PLEASE HELP AND SOLVE A-E.
For a projectile with initial velocity of 51.5 m/s and angle of elevation equal to 4 degrees.
a) Compute the horizontal velocity of the projectile in m/s.
b) Compute the vertical velocity in m/s.
c) Compute the time of flight for the projectile.
d) Compute the distance downrange.
e) Compute the maximum height reached by the projectile.
Answer:
Below
Explanation:
c) To find the time of flight of a projectile (assuming from the given information that there is no vertical displacement) you can use this formula :
t = 2(Vi) Sinx / g
t = 2(51.5m/s) Sin(4) / 9.8 m/s^2
t = 0.733 seconds
t = 0.73 seconds
d) To find the displacement in the x-direction you can use this formula :
dx = vi^2 sin(2x) / g
dx = (51.5m/s)^2 sin(2(4)) / 9.8m/s^2
dx = 37.6654 m
dx = 37.7 meters
e) To find the peak height of the projectile you can use this formula :
v^2sin^2(x) = 2gh
(51.5m/s)^2sin^2(4) = 2(9.8m/s^2)h
h = 0.658 meters
h = 0.66 meters
Hope this helps! Best of luck <3
When do you know if Respect is being shown? If there is discrimination? Cite some indicators
Peace and violence are the indicators of the society.
Respect is shown if we see a people as a person and not as a toy. If we stop criticizing and judging by just looking at them than the other person also gives us respect which leads to peace and harmony in the society.
If there is discrimination and no respect of other people's feeling then there is violence and disharmony in the society so we can conclude that peace and violence are the indicators of the society.
Learn more: https://brainly.com/question/25002091
You attach a cart with a mass of 0.92 kg to a spring and compress the cart-
spring system. The spring constant for the spring is 130 N/m. Your objective is
to propel the cart with a velocity of 1.4 m/s along a frictionless surface. How
need to compress the spring in order to meet your target velocity?
far do
you
Answer:
F = - K X force exerted by compressed spring
F X = 1/2 M V^2 energy (work) required to produce a speed V for mass M
K X * X = 1/2 M V^2 direction of F is the same as that of V
X^2 = M V^2 / K combining terms
X = (M / K)^1/2 V
X = (.92 / 130)^1/2 * 1.4 = .118 m
transformer is used in rectifier step up and step down voltage?
Answer:
While the use of the type of transformer in a rectifier depends on the voltage requirement or to meet desired operating conditions, a step-down transformer is used mainly to reduce the voltage. It is used to bring the high AC voltage level to a reasonable value or the desired output voltage.
Explanation:
Hope it helps
Correct me if Im wrong
how high will a 2 liter bottle rocket go with 0.5 L of water at 50 psi
Answer:
the high will a 2 l bottle of rocket go with 0.5 l of water at 50 psi
Explanation:
[tex]2)50( \\ divide \: karo \: or \: 0.51 \: ko \: into \: kar \: do \\ \\ [/tex]
4. Which are characteristics of an atom? (Choose all that apply.)
1)They come from compounds.
2)They are the largest unit of matter.
3)They are made in stars.
4)They can only be seen by an electron microscope.
Answer:
4.
Explanation:
The characteristic of an atom is as follows:
They can only be seen by an electron microscope.Thus, the correct option for this question is D.
What do you mean by an Atom?An atom may be defined as a particle of matter that uniquely defines a chemical element. Each and every atom consists of a central nucleus that holds positively charged subatomic particles known as Protons along with neutrons.
Apart from protons and neutrons, the negatively charged subatomic particles known as electrons are always revolved around the nucleus of each atom in its orbitals.
According to the context of this question, an atom is the smallest unit of matter which significantly retain all the chemical properties of an element. Thus, the second option is eliminated. They are naturally present not made in stars. So, the option third is also eliminated.
Therefore, the correct option for this question is D.
To learn more about Atoms, refer to the link:
https://brainly.com/question/6258301
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