A 100.0-kg bakery sign hangs from two thin cables as shown.
What is the tension in each cable?
Answer:
1. T₁ = 500 N
2. T₂ = 866 N
Explanation:
Please see attached photo for the diagram.
Thus, we can obtain obtained the value of T₁ and T₂ as follow:
1. Determination of T₁
Angle θ = 30
Hypothenus = 100 kg
Opposite = T₁ =?
Sine θ = Opposite /Hypothenus
Sine 30 = T₁ / 100
Cross multiply
T₁ = 100 × Sine 30
T₁ = 100 × 0.5
T₁ = 50 Kg
Multiply by 10 to express in Newton
T₁ = 50 × 10
T₁ = 500 N
2. Determination of T₂
Angle θ = 60
Hypothenus = 100 kg
Opposite = T₂ = ?
Sine θ = Opposite /Hypothenus
Sine 60 = T₂ / 100
Cross multiply
T₂ = 100 × Sine 60
T₂ = 100 × 0.8660
T₂ = 86.6 Kg
Multiply by 10 to express in Newton
T₂ = 86.6 × 10
T₂ = 866 N
Test yourself: 1
A truck has mass of 1000 kg. What force will give it an acceleration of 1.5 m/s2
Given:
Answer
Unknown:
Formula
Substitute the numerical
values in the formula
Final Answer
Answer:
F = 1500 [N]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of all forces must be equal to the product of mass by acceleration.
ΣF = m*a
F = 1000*1.5
F = 1500 [N]
Pls help ASAP now! This is physical science
Option A is correct answer
Answer:
A
Explanation:
D and C are both eliminated because it being shaped like a horseshoe has nothing yo do with it and c is wrong cause the core is really hot there for it can not be similar so A because it has north and south poles meaning its magnetic ability
what is the slope of this blue line
Gradient of the line is m =-2/5
Answer:
y = x-2
Explanation:
When x = 0, y = 4
When y = 0, x = 6
A displacement vector begins at the point (2,3) on a Cartesian plane and ends at (5, 7). Calculate the length of this vector
Answer:
The length is d = 5
Explanation:
We must identify the respective coordinates of both points.
(x1,y1) = (2,3)
(x2,y2) = (5,7)
Now we know the distance equation of a straight line:
[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} } \\d=\sqrt{(5-2)^{2} +(7-3)^{2} }\\ d=\sqrt{9+16} \\d=5[/tex]
A car weighs 2,000 kg. It moves along a road by applying a force on the road with a parallel component of 560 N. There are two passengers in the car, each weighing 55 kg. If the magnitude of the force of friction experienced by the car is 45 N, what is the acceleration of the car?
Answer:
The acceleration of the car is 0.244 m/s²
Explanation:
Given;
mass of the car, m = 2,000 kg
applied parallel force on the car, F = 560 N
mass of the two passengers, m = 2 x 55 kg = 110 kg
frictional force on the car (reducing horizontal motion), Fk = 45 N
Weight of the car acting downward, W = 2,000 x 9.8 = 19,600 N
weight of the two passengers acting downward, w = 110 x 9.8 = 1078 N
The net horizontal force on the car is given by;
∑Fx = F - Fk
∑Fx = 560 - 45
∑Fx = 515 N
Apply Newton's second law of motion;
F = ma
where;
m is the total mass of the system = mass of car + mass of passengers
m = 2000 + 110 = 2,110 kg
a = ∑Fx / m
a = 515 / 2110
a = 0.244 m/s²
Therefore, the acceleration of the car is 0.244 m/s²
Bob wanted to investigate the effects of plant fertilizer. He bought three identical plants and gave plant 1 fertilizer every morning; plant 2 fertilizer once a week, and he didn't use any fertilizer on plant 3. Bob watered each plant every morning and set all three plants on the windowsill so they would all have the same amount of sunlight. He measured the height of each plant once a week . He plotted plant height (y-axis)vs time (x-axis) for each plant. What is the independent variable * 1 point
Answer:
TIME he applied the fertilizer to each plant
Explanation:
Independent variable in an experiment is the variable that is subject to change or manipulation by the experimenter. In this experiment, Bob wanted to investigate the effects of plant fertilizer. Bob sets up the experiment by applying the fertilizer to each plant at DIFFERENT TIMES i.e. plant 1-every morning, plant 2-once a week, plant 3-never.
Based on this, it is obvious that the independent or manipulated variable is the TIME at which he applied the fertilizer. On the other hand, the dependent or measured variable is the height of the plants.
How do electromagnetic and mechanical waves compare?
which element on the periodic table has the largest atomic number?
Answer:
Oganesson
Oganesson has the highest atomic number and highest atomic mass of all known elements. The radioactive oganesson atom is very unstable, and since 2005, only five (possibly six) atoms of the isotope 294Og have been detected.
Explanation:
Are these right? Just need you to confirm or tell we what I got wrong. Thanks
Answer:
yes it is write
Explanation:
the primary_______ cortex specializes in receiving signals from different parts of the body?
Answer:
somatosensory
Explanation:
The primary somatosensory cortex specializes in receiving signals from different parts of the body.
what is a formula unit
A formula unit is the empirical formula for an ionic compound. It is the lowest possible ratio of the cations and anions of a given ionic compound.
a wire has current 5A in it.how much charge pass a point in wire in 2 min..???
Answer:
600 Coulomb
Explanation:
Electric Current refers to the charge passing through unit cross section of a wire per second.
Current ( C / sec) = 5A = 5C / sec
So, 5C charge passes through the wire in one second, then, amount of charge passing through a cross section of the wire in 120 seconds is :
5C * 120 = 600 Coulumb
What does science explain?
A) moral values
B) Biased opinion
C) Meaning of life
D) Natural phenomena
Answer:
D - Natural Phenomena
Answer:
D) Natural phenomena
Explanation:
science can't explain the others
The spreading out of waves after they pass through a narrow opening is?
Explanation:
DIFFRACTION
How much time will it take an armadillo traveling 0.1 m/s to go 2010 meters?
Answer:
20100s
Explanation:
What is tranlsatory motion? Give two examples
Answer:
The motion in which all particles of a body move through the same distance in the same time.
Examples: A car moving along the road
A ball rolling on the ground
using the rules for the significant figures what do you get when you add 24.545 and 307.3
Answer:
331.8 (Plato/Edmentum)
Explanation:
#1: 24.545 + 307.3
#2: 331.845
#3: 331.8
Why do high water temperatures reduce the amount of fish in a water ecosystem? A. High temperatures decrease the nutriet level B. High temperatures can lower pH of the water C. High temperatures can decrease turbidity D. High temperatures can reduce the amount of dissolved oxygen in the water
Answer:
The correct option is D
Explanation:
Generally when there is an increase in temperature of water the solubility of oxygen decrease and this would in turn decrease the amount of fish in water due to the fact that fish require oxygen soluble oxygen to survive
If the light bulb is 2 ohms and the battery is 3V what is the total current in the circuit?
Answer:
3 volts / 2 ohms =1.5 Amperes
true or false money difficult to carry around
Answer
yeard
Explanation:
cause it is
Answer:
The answer is true
YO CAN ANYONE PLS ANSWER DIS PLS!!!!!!!!
Answer:
38ml
Explanation:
Answer:
38 ML
Explanation:
Explain why the roller coaster’s potential energy is greater at point 1 than at point 4.
Answer:
Answer: 1/17/2020
Potential energy is directly related to the height of an object. Point 1 is higher than point 4, so the potential energy is greater at point 1.
Hope this helps! ~lexi
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how can 2 things that are gasses (hydrogen and oxygen) become a liquid
when combined (water H2O)?
Answer: good question lol
Explanation:
this is my exam question be serious
a. what are professions and manpower related to teaching field? describe any one
b. write the name of any four diseases that attack on cows and buffaloes. explain any two of them
c. "modern technology is developed from ancient technology."justify this statement.
Answer:
hey answer in the comment section
During a race, you speed up from 2.5 m/sec to 4.4 m/sec in 3.4 seconds.
(a) What is your change in speed?
1.9
m/sec
(b) What is your acceleration?
0.55
X m/sec2
1. List the point where the car has the greatest potential energy.
2. List the point where the car has the least potential energy.
3. List the point where the car has the greatest kinetic energy.
4. List the point where the car has the least kinetic energy.
Answer:
1) The point where the car has the greatest potential energy is Point A
2) The point where the car has the least potential energy is Point C
3) The point where the car has the greatest kinetic energy is Point C
4) The point where the car has the greatest kinetic energy is Point A
Explanation:
The potential energy of the car is given by the formula, PE = Mass × Gravity × Height
Therefore, as the height increases, the potential energy of the car increases
The total mechanical energy of the car, which is constant, is given by the following equation
The total mechanical energy = The Potential Energy + The Kinetic Energy
Therefore, at the point where the potential energy is lowest, the kinetic energy is highest.
Can somebody plz read the information and answer just number 1-2 it’s kinda easy for some of y’all lol
(WILL MARK AS TOP BRAINLIEST) if correct)
:D
Answer:
PLEASE MARK BRAINLISTExplanation:
queotioning1.what is genetic variations2.what is inherited gensWhich of the following shows places on the Earth's surface the most accurately?
A.thematic maps
B.globes
C.general purpose maps
D.physical maps
I believe that the answer is D physical map.
Answer:
b: globes
Explanation:
the earth cannot be accurately put onto a map without distortion in places away from the equator
How can fluid friction be decreased?
Answer: by giving special shapes called streamlined shape to the objects
Explanation: