Answer:
D = 1.8677 miles , θ = 24.28º at South of West
Explanation:
This is an exercise in adding vectors, the easiest way to solve them is to decompose the vectors and add each component algebraically. Let's use trigonometry
first displacement. d = 1.2 miles to 30º south of East
cos ( 360-30) = cos (-30) = x₁ / d
sin (-30) = y₁ / d
x₁ = d cos (-30)
y₁ = d sin (-30)
x₁ = 1.2 cos (-30) = 1,039 miles
y₁ = 1.2 sin (-30) = -0.6 miles
second shift. d = 2.0 miles to 20º West of South
cos (270-20) = x₂ / d
cos (250) = y₂ / d
x₂ = 2.0 cos 250 = -0.684 miles
y₂ = 2.0 sin250 = -1.879 miles
Third displacement. d = 1.6 miles to 30º South of West
cos (180 + 30) = x₃ / d
sin (210) = y₃ / d
x₃ = 1.6 cos 210 = -1.3856 miles
y₃ = 1.6 sin 210 = -0.8 miles
Fourth displacement. d = 2.6 miles to 15º West of North
cos (90 + 15) = x₄ / d
sin (105) = y₄ / d
x₄ = 2.6 cos 105 = -0.6729 miles
y₄ = 2.6 sin 105 = 2,511 miles
having all the components we add
x-axis (West-East direction)
X = x₁ + x₂ + x₃ + x₄
X = 1.039 -0.684 - 1.3846 - 0.6729
X = -1.7025 miles
Y = y₁ + y₂ + y₃ + y₄
Y = -0.6 -1.879 -0.8 +2.511
Y = -0.768
The modulus of this displacement is we use the Pythagorean theorem
D = √ (X² + Y²)
D = √ (1.7025² + 0.768²)
D = 1.8677 miles
let's use trigonometry to find the direction
tan θ = Y / X
θ = tan⁻¹ Y / x
θ = tan⁻¹ (0.768 / 1.7025)
θ = 24.28º
as the two components are negative this angle is in the third quadrant
therefore in cardinal direction form is
θ = 24.28º at South of West
can someone help rn please!! thank you sm!!
On the moon, the gravity is 1/6 that of Earth. While on the moon, Buzz Aldrin carried on his back a support system that would weigh over 1760 N on Earth. a) What did the backpack weigh on the moon? b) What was its mass on the moon? please show the work
Answer:
a) 293.[tex]\bar 3[/tex] N
b) Approximately 179.41 kg
Explanation:
The given parameters are;
The gravity (gravitational acceleration) on the moon = 1/6 × The gravity on Earth
The weight of the support system Buzz Aldrin carries = 1760 N
a) Given that the weight of the support system on Earth = Mass of the support system, m × Gravity, g (Acceleration due to gravity) = m·g
The weight of the support system on Earth = m·g
We have;
The gravity on the moon = 1/6 × g
∴ The weight of the support system on the moon = Mass of the support system, m × 1/6 × g = m·g/6
∴ The weight on the of the support system on the moon = m·g/6 = 1/6 × m·g = 1/6 × m·g = 1/6 × The weight of the support system on Earth
The weight on the of the support system on the moon = 1/6 × 1760 N = 880/3 N = 293.[tex]\bar 3[/tex] N
b) The mass, m, of the support system on the moon = The mass, m, of the support system on Earth
The mass, m, of the support system on Earth = Weight of the support system/(Gravity(acceleration due to gravity))
∴ The mass, m, of the support system on Earth = 1760/9.81 ≈ 179.41 kg
∴ The mass, m, of the support system on the moon ≈ 179.41 kg.
3. Four projectiles, A, B, C, and D, were launched from, and returned to, level ground.
The data table below shows the initial horizontal speed, initial vertical speed, and
time of flight for each projectile.
Data Table
Projectile Initial Horizontal Speed (m/s) Initial Vertical Speed (m/s) Time of Flight (s)
A
40.0
29.4
6.00
B
60.0
19.6
4.00
С
50.0
24.5
5.00
D
80.0
19.6
4.00
Which projectile traveled the greatest horizontal distance? [Neglect friction.]
Answer is D
Taking the test rn and found out the answer
The projectile D traveled the greatest horizontal distance.
What is projectile motion?Projectile motion is a form of motion experienced by an object or particle that is projected near the Earth's surface and moves along a curved path under the action of gravity only.
What is projectile horizontal distance?Horizontal range of a projectile is the horizontal distance travelled by the projectile between launch and the landing points.
The projectile horizontal distance is depend on horizontal speed and time in air.
In all these four projectile, projectile D has maximum horizontal speed and time in air.
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PLZ EXPLAIN THE EQUATION AND I WILL GIVE BRAINLIST You are out and about in the country and your father sees a rock that he really wants in the yard. Now you must get the very heavy rock into the back of a truck. The truck bed is 3 feet off the ground. Your father pulls out a 5-foot plank and begins to set up a ramp. At the same time, you (who know about mechanical advantage!) have found a plank that is 8 feet long, and you show it to your father. Which plank will give you the most mechanical advantage? Calculate the MA for each plank
Answer:
The 8 foot long plank
Explanation: hope this helps :)
Calculate the density of a rock that has a mass of 32 grams and a volume of
4.5 mL.
Answer:
85.2ml
Explanation:
Which Sl units are combined to describe energy?
A. Kilograms and m/s2
B. Kilograms and joules
C. Kilograms and m/s2
D. Kilograms and meters
Answer:
kilograms and m²/s²
Explanation:
The SI units combined to describe energy is kilograms and m²/s² ;
Energy can be derived from;
Potential energy = mgh
Units = kg x m/s² x m
= kg m²/s²
Even if we use kinetic energy, we still get kg m²/s²
Which statement is supported by the information in the diagram and table below?
Answer:
a
Explanation:
a
A motorist, traveling east on an open highway, sets his cruise control at 90.0 km/h. How far will he travel in 0.75 hours?
Answer:
The answer is 67.5 kmExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × time
From the question we have
distance = 90 × 0.75
We have the final answer as
67.5 kmHope this helps you
Answer: 67.5 km
Explanation:
Distance is the velocity and time.
90 x 0.75 = total distance
The distance is represented as 67.5 km/h.
Hope this helps!
hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest
Answer:
A. Cue, White Ball, Blue Ball
Explanation:
Visualize in which order things are being hit
A skydiver jumps from a plane and falls for 5 seconds before reaching his terminal velocity. During this 5 seconds interval, describe his acceleration before reaching terminal velocity?
Answer:
His acceleration during the first five seconds before reaching terminal velocity = (W - D)/m
Explanation:
The terminal velocity is the maximum steady velocity attained by a body falling freely with increasing velocity from rest in a fluid, such as air or water
The net force, F acting on the body falling through the fluid is given as follows;
F = Weight force, W, from gravity - Drag force, D, from the fluid
F = W - D
Given that F = Mass, m × Acceleration, a, we have;
F = m × a
The acceleration, a = F/m = (W - D)/m
His acceleration during the first five seconds before reaching terminal velocity = (W - D)/m.
Please help me and I will mark you the brainiest
Answer:
Right direction (i.e towards B).
Explanation:
From the question given above, we can see that the car is accelerating in the left direction (i.e towards D).
Friction is the force that tends to oppose the motion of an object. Since the car is moving in the left direction (i.e towards D) then, the frictional force acting on the wheel will be in the opposite direction i.e right direction (i.e towards B).
The mass of the sun is 1.9891030 kg and the mass of the Earth is 5.9721024kg. If the Earth’s acceleration toward the sun is 0.0059 m/s/s, what is the sun’s acceleration toward the Earth?
Answer:
this is the answer according to my calculations
Explanation:
0.001.9
Pls I need help ASAP
Answer:
i dont undertsnad what do u ned hep wit?
Explanation:
When dribbling you should?
a. Use both feet.
b.Use frequent small touches of the ball.
C.Protect the ball with your body.
D. All of the above.
An object with a mass of 15 kg accelerates 10.0 m/s2 when an unknown force is applied to it. What is the
amount of the force
Answer:
f=mass × acceleration
=15×10
=150
1. Which elements would likely have similar properties: two elements in the same group, or two elements in the same period?
2. Fill in the table below with the correct classification of element.
Left side:
Right side:
Zigzag line:
3. Use the periodic table to answer this question: Are the properties of rubidium (Rb) more like those of cesium (Cs) or those of strontium (Sr)? Explain your answer.
4. Use the periodic table at the bottom of the page to identify the elements in the following compounds:
PBS:
KBr:
Rao:
5. Use the periodic table to determine whether each element is a metal or a nonmetal:
Sodium (Na):
Krypton (Kr):
Phosphorus (P):
Answer:
3. Cs, they are in the same group, mainly sharing characteristics.
Explanation:
The elements in the same group have similar properties. The properties of rubidium is similar to those of strontium because, both are in second group.
What are groups in periodic table ?In periodic table, all elements are classified into different periods and groups. The vertical columns in the table is called groups and the horizontal rows are called periods.
The elements in a group have same number of valence electrons and similar chemical and physical properties. For example rubidium and strontium are second group elements and they show similarity in properties.
The elements in the compound, PbS are lead and sulphur and that in KBr are potassium and bromine. Elements in RaO are radium and oxygen. Among the given elements sodium is a metal and krypton and phosphorus are non metals or gases.
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HELP ME PLEASE
I don’t know what the answer is.
Answer:
Hey buddy, here is your answer. Hope it helps you.
Explanation:
Solids.Sound travels fastest through solids. This is because molecules in a solid are packed against each other. When a vibration begins, the molecules of a solid immediately collide and the compression wave travels rapidly.Sound moves slowest through a gas. That’s because the molecules in a gas are spaced very far apart. In order for sound to travel through air, the floating molecules of matter must vibrate and collide to form compression waves. Because the molecules of matter in a gas are spaced far apart, sound moves slowest through a gas.
Sound travels faster in liquids than in gases because molecules are packed more closely together. This means that when the water molecules begin to vibrate, they quickly begin to collide with each other forming a rapidly moving compression wave.
What is the speed of a car that
accelerates at a rate of 10 m/s2 for a
total of 25 seconds?
Answer:
250 m/sExplanation:
The speed of the car can be found by using the formula
v = a × twhere
a is the acceleration
v is the speed
t is the time
From the question we have
v = 10 × 25
We have the final answer as
250 m/sHope this helps you
Which of the following is true regarding mixtures? a. One substance not combined with any other substances. b. Two or more substances physically mixed and can be separated. c. Two or more substances that are impossible to separate d. One substance that forms a compound alone.
Answer:
aerga
dggzsd
Explanation:
szsdrgzsedg
Los satélites de televisión giran alrededor de la Tierra en una órbita de 42370 km de radio. a) ¿Cuánto vale la aceleración de la gravedad en esa órbita? (Resultado: g = 0,22 m/s2 ) b) ¿Cuánto pesará allí un satélite de 1200 kg? (Resultado: P = 264 N) Datos: G = 6,67 10-11 Nm2 /kg masa de la Tierra: 6 1024 kg
Answer:
(a) La aceleración de la gravedad en esa órbita es 0.22 [tex]\frac{m}{s^{2} }[/tex]
(b) Un satélite de 1,200 kg pesará allí 264 N.
Explanation:
(a) Cada punto del espacio tiene un valor del campo proporcional a la función, siguiendo el modelo de gravitación de Newton:
[tex]g=G*\frac{m}{r^{2} }[/tex]
donde m será masa, r la distancia entre los objetos y G la constante de gravitación universal, cuyo valor es [tex]G=6.672*10^{-11}\frac{N*m^{2} }{kg }[/tex]
En este caso:
m= 6*10²⁴ kgr=42,370 km= 42,370,000 mReemplazando:
[tex]g=6.672*10^{-11}\frac{N*m^{2} }{kg }*\frac{6*10^{24}kg }{(42,370,000 m)^{2} }[/tex]
Resolviendo, obtenes:
g= 0.22 [tex]\frac{m}{s^{2} }[/tex]
La aceleración de la gravedad en esa órbita es 0.22 [tex]\frac{m}{s^{2} }[/tex]
(b) La ley fundamental de la dinámica o segunda ley de Newton expresa que la fuerza neta que es aplicada sobre un cuerpo es proporcional a la aceleración que adquiere en su trayectoria. Esto se expresa matemáticamente como:
F= m*a
en donde F es fuerza neta , m la masa y a la aceleración.
El peso es la fuerza que ejerce la gravedad sobre una masa, por lo que se obtiene de manera análoga a la fuerza:
P=m*g
En este caso la masa m tiene un valor de 1,200 kg y la gravedad g un valor de 0.22 [tex]\frac{m}{s^{2} }[/tex].
Reemplazando:
P=1,200 kg*0.22 [tex]\frac{m}{s^{2} }[/tex]
Resolviendo:
P= 264 N
Un satélite de 1,200 kg pesará allí 264 N.
You are twice as likely to become good friends with the person who is in the dorm room next to you than the person two doors down. This is due to:
A. Proximity.
B. Common Interests.
C. Shared Values.
D. Social Background
Explain a principal of moments of a force
The principle of moments states that when a body is balanced the total clockwise moment about a point equals the total anticlockwise moment about the same point.Equation.Moment=Force F×perpendicular distance from the pivot do.
30.) We observe motion by using a *blank* of *blank*.
Answer:
Point of Reference
Explanation:
Annie has 100 mL of honey. The honey has a mass of 145 g. What is the density of the honey?
Answer:
The answer is 1.45 g/mLExplanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{145}{100} \\ [/tex]
We have the final answer as
1.45 g/mLHope this helps you
Write an equation of the line in slope-intercept form.
Please explain.
Answer:
y = [tex]-\frac{1}{4}[/tex]x + 3
Explanation:
The equation of a straight line is given as:
y = mx + c
y and x are the coordinates
m is the slope
c is the y -intercept
The y-intercept = 3;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
x₁ = 0
x₂ = 4
y₁ = 3
y₂ = 2
Slope = [tex]\frac{2-3}{4 -0 }[/tex] = [tex]-\frac{1}{4}[/tex]
y = mx + c
y = [tex]-\frac{1}{4}[/tex]x + 3
Unit 2 kinetic energy mastery test
Answer: kinetic energy is Energy of motion.
Explanation:
Which is the balanced equation for Sg + O2 → SO2?
OS: + 016 — 8S02
O S₂ + O₂S₃ + O₂
O S8+ O₂S₂O₂
O Sg + 802 8S02
The balanced equation for S(g) + O₂ → SO₂ is as follows: S₈ + 8O₂ → 8SO₂ (option C).
What is a balanced equation?A balanced equation is a chemical equation in which the number of atoms of each element on both sides of the equation are the same.
This means that the number of the atoms involved in the reactants side is equal to the number of atoms in the products side.
Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.
According to this question, sulfur reacts with oxygen gas to produce sulfur dioxide as follows:
S₈ + O₂ → SO₂
The balanced chemical equation is as follows:
S₈ + 8O₂ → 8SO₂
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HELP PLEASE
A load is a device that changes electrical energy into other forms of energy. Which load converts electrical energy into thermal energy by passing an electric current through a high-resistance material?
A.
Hand-powered generator
B.
Toaster
C.
Fan
D.
Electrical drill
Answer:
A toaster because you plug it up for electric energy and heat to toast it
when a car suddenly stops,the objects in the backseat are thrown forward.this is explained by-
A.Newton's first law of motion
B.Newton's second law of motion
C.Newton's third law of motion
D.the universal law of gravitation
Answer:law of interia(1st law)
Explanation:
A man travels 25 kilometers in 15 minutes. A police officer stops him and
writes a ticket for speeding. The posted speed limit is 80 kilometers per
hour. Did the man exceed the posted speed limit?
Answer:
yes
Explanation:
cuz 15x2=30 30x2=60 60=1 hour, and the limited is 80 km per hour
15=25
15x4=60 25x4=100
so yes
he was going 100km per hour
