The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.
What is free body diagram (FBD) ?A free body diagram or known as FBD is a diagrammatic representation of all the forces acting on the body at the moment without taking into consideration the surrounding of the object.
What is tension?Tension is a vector quantity which is a manifestation of force in string or wire a tension is always a pulling force.
Given:
Mass of the lady = 51 kg
Acceleration due to gravity= 9.8 u
Distance between the two buildings= 13m
The given situation is an example of balance force in which the sin component of the tension in the high wire is balancing the weight of the lady
Weight of the lady = m × g
Where,
T is tension in the high wire
m the mass of the lady
g is acceleration due to gravity
Weight of the lady = 51 × 9.8
Weight of the lady = 499.8
According to the question-
T × sin 10° = m × g
T × 0.1736 = 499.8×9.8
T = 2879 newton
Therefore, The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.
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A Bicycle is turned upside down the front wheel is running,where will the valve stop
The valve will stop when the wheel stops.
How can the wheel stops?
It can be done either applying the force manually or let the natural friction force work.The force can be applied manually by pulling up the brakes.The other way by which it stop is :
When we ride on a bicycle, we rotate the pedals, which in turn rotate the chainrings, which rotate the rear sprocket, hence, making the rear wheel to move forward. This rotation brings in angular speed and angular acceleration.The friction is applied from the ground to stop it from slipping. Here, the forces working are the rotational and the frictional along with angular acceleration and speed. When the bicycle is upside down, the frictional force from the ground becomes zero. The chain rings also don’t control the front wheel. The angular acceleration will be opposed by some force. Here, the frictional force that will act will be from the air and the inertia is applied to the rotational motion of the wheel which is now in the air and not on the ground. Once the friction from air is greater than angular motion, the wheel stop automatically.To know more about angular motion, refer : https://brainly.com/question/14723674
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What’s more dense, a 200g bar of Aluminum or a 2g cube of Aluminum?
Answer:
2g cube of Aluminum
Explanation:
How do I convert 32.2 ft/s^2 to centimeter per day squared?
7.32652978 × 10∧12 centimetre per (day squared) is the answer by converting 32.2 ft/s^2 to centimeter per day squared
What does 2g acceleration mean?Humans constantly encounter many factors. One g is the usual gravitational acceleration. You must, however, accelerate 9.8 m/s2 upward in order to reach 2g. You will accelerate by 2g as a result of this. While on Earth, we frequently experience more than 1g.
This enables you to calculate the change in velocity in metres per second squared (m/s2).
An informal measurement of force using units of acceleration equal to one g that applies to a body due to acceleration or gravity. A 12 pound item moving at 2 g receives 24 pound of force, for instance.
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Which element has the same number of valence electrons does bromine
Answer: fluorine, chlorine and bromine
Explanation: They all have the same valence electrons. Valence electrons are the electrons on the outer circular. Hope this helped!
The table shows data for two groups of plants, one grown with fertilizer and the other without fertilizer. Effect of Fertilizer on Plant Growth No fertilizer Fertilizer Height of plants (cm) 24.1 25.9 25.4 24.1 35.6 30.5 32.1 40.6 30.5 33.8 What effect does the value 35.6 have on the measures of central tendency for the data in the left column? . The mean will be lower than the median and mode B. The mean will be higher than the mode but lower than the median. . The mean will be higher than the median and mode. . The mean will be higher than the median but lower than the mode
The value 35.6 have on the measures of central tendency for the data in the left column, as mean will be higher than the median and mode. The correct option is C.
What is mean?The mean is the average of a set of values in mathematics and statistics. There are several ways to compute the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.
To find the mean, add all of the numbers together. The total sum is then divided by the number of scores used. The mean or average of the number set in this example is 6.7.
The value 35.6 has a positive effect on the measures of central tendency for the data in the left column, as the mean is greater than the median and mode.
Thus, the correct option is C.
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A leopard of mass 65 kg climbs 7 m up a tall tree. Calculate how much gravitational potential energy it gains. Assume g = 10 N/kg
The potential energy gained is 4550 J.
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, potential energy associated with the gravitational field is released.
The potential difference is given as:
U = mgh
Where U is the gravitational energy, m is the mass, g is the acceleration due to gravity, and h is the height.
Now, we have
Leopard's mass, m = 65kg
The height of the tree, h = 7 m
Acceleration due to gravity, g = 10N/kg
Therefore,
U = mgh
U = 65 × 7 × 10
U = 65 × 70
U = 4550 J
Thus, the leopard will need 4550 J of gravitational potential energy to climb 7 meters.
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Which of the following scenarios shows an object with a negative velocity and a negative acceleration?
Question 6 options:
A pig moves toward the reference point speeding up.
A pig moves away from the reference point slowing down.
A pig moves toward the reference point slowing down.
A pig moves away from the reference point speeding up.
C. The following scenarios that shows an object with a negative velocity and a negative acceleration is "a pig moves toward the reference point slowing down."
What is negative velocity?A negative velocity occurs when an object moves in the negative direction.
Example of negative velocity;
If a car is moving away from you (reference point) then the velocity is positive. If a car is coming towards you (reference point) then the same vector reverses direction and hence the velocity is negative.What is negative acceleration?If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion. Thus, the acceleration of the object will be negative.
Thus, the following scenarios that shows an object with a negative velocity and a negative acceleration is "a pig moves toward the reference point slowing down."
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A rectangular pool is 3 feet wide. It is 4 times as long as it is wide. Label the diagram with the dimensions of the pool. Then find the perimeter of the pool.
The perimeter of the pool is measured as 30 feet.
What is the perimeter?We know that a rectangle is a four sided polygon recall that a polygon is any figure that has n sides. The number of sides in a polygon could move from three to infinity. The polygons come in different shapes and are solids with definite values of surface areas and volumes.
The rectangle is four sided which each of the angles of the rectangle adding up to give 360 degrees. It must be noted that the opposite sides of the rectangle are equal to each other.
We have the following information;
Length of the pool = 4(3 feet) = 12 feet
Width of the pool = 3 feet
Since perimeter = 2 ( length + width)
Perimeter = 2( 12 + 3)
Perimeter = 30 feet
Hence, the perimeter of the pool is measured as 30 feet.
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Metric Conversions:
1) 5KL = ?L
2) 3L = ?KL
3) 4g = ?Kg
4) 81Kg = ?g
5) 52dg = ?g
6) 3dm = ?m
7) 14mm = ?m
The metric conversion of the given quantities is determined as
5 KL = 5,000 L3L = 0.003 KL4g = 0.004 kg81 kg = 81,000 g52 dg = 5.2 g3 dm = 0.3 m14 mm = 0.014 mWhat is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
The metric conversion of the following quantities is calculated as follows;
5 KL = 5 x 1000 L = 5,000 L
3L = 3 x 1/1000 L = 0.003 KL
4g = 4 x 1/1000 g = 0.004 kg
81 kg = 81 x 1000 g = 81,000 g
52 dg = 52 x 1/10 g = 5.2 g
3 dm = 3 x /10 m = 0.3 m
14 mm = 14 x 1/1000 m = 0.014 m
Thus, the metric conversion of the given quantities is determined as
5 KL = 5,000 L3L = 0.003 KL4g = 0.004 kg81 kg = 81,000 g52 dg = 5.2 g3 dm = 0.3 m14 mm = 0.014 mLearn more about metric conversion here: https://brainly.com/question/26259781
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An object originally moving at a speed of 20.0
meters per second accelerates uniformly for 5.0 seconds to a final speed of 50.0 meters per second. What is the acceleration of the object?
Answer:
6.0 m/s^2 There are 2 places of accuracy. (5.0 has only two places)
Explanation:
Formula
This uses the formula
a = (vf - vi)/t where
a is the accelerationvf is the final speedvi is the starting speed.t is the time takenSolution
Substitute the givens into the formula
a = (50m/s - 20 m/s)/5
a = 30/5
a = 6 m/s^2
An objects
A) weight
B) density
C) mass
D) Any of these.
determines the extent of resistance to a change of motion.
OA
OB
OC
OD
Answer:
B
Explanation:
A proton is released in a uniform electric field, and it experiences an electric force of 1.86x10-14 N toward the south. Find the magnitude and direction of the electric field.
The magnitude and direction of the electric field is 1.05×10^5N/C
The Electric Field is described as the electric force per unit charge.
E=[tex]\frac{F}{q}[/tex]
Here, F is an electric force,E is the Electric Field and q is a charge. charge is measured in coloumb.
For finding the magnitude, the expression can be use as follows,
E=[tex]\frac{F}{q}[/tex]
now put all the values given
F= 1.86x10^-14 N
q=1.6×10^-19C
E= 1.86x10^-14 N÷1.6×10^-19C
E=1.05×10^5N/C
Since the charged particle is positive electric field and Electric Field will have the same directions. Proton has positive charge hence here the direction of the electric field is the same as the direction of electric force. Hence towards South for both.To know more about Electric Field visit : https://brainly.com/question/26690770
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The Blue Origin rocket ship starts vertically upward from the launch pad a constant
acceleration of 6.3 m/sec2. How high does the rocket ship raise above the launch
pad after 94 seconds of flight?
Assume that the rocket ship moves vertically up all the time. Enter your answer in
meters (m).
The rocket ship rises to a height of 27.83 km above the launch pad after 94 seconds of flight.
We know that,
s = u t + 1 / 2 a t²
where,
s = Displacement
u = Initial velocity
a = Acceleration
t = Time
Given that,
u = 0
a = 6.3 m / s²
t = 94 s
s = 0 + 1 / 2 ( 6.3 * 94² )
s = 27833.4 m
s = 27.83 km
Displacement the distance between the initial point and final point. It is denoted using s.
Therefore, the rocket ship rises to a height of 27.83 km above the launch pad after 94 seconds of flight.
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A student drops a ball from a window 5.0 m above the sidewalk. How fast is it moving when it hits the sidewalk?
The ball's velocity is 9.9 m/s fast when it hits the sidewalk.
What is velocity?Velocity is the rate of change of displacement.
To calculate how fast the ball was moving when it hits the sidewalk, we use the formula below.
Fromula:
V² = U²+2gS......... Equation 1Where:
V = Final velocityU = Initial velocityg = Acceleration due to gravityS = DistanceFrom the question,
Given:
U = 0 m/sg = 9.8 m/s²S = 5 mSubstitute these values into equation 1
V² = 0²+2×5×9.8V² = 98V = √98V = 9.9 m/sHence, the ball's velocity is 9.9 m/s fast when it hits the sidewalk.
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What is the first step to composing a short piece?
A. Choosing an image as stimuli
B. Choosing your lyrics
C. Choosing a rhythm and a melody
Convert 277.01 pm to cm (use scientific notation).
277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres in scientific notation. Details about how to convert picometers to centimetres can be found below.
How to convert picometers to centimetres?Picometers is the SI unit of length that is equal to 10−¹² meters.
On the other hand, centimetres is another S.I unit of length that is equal to 10-² metres.
The conversion factor of picometers to centimetres is as follows:
1 picometre = 1 × 10-¹⁰ centimetres
277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres
Therefore, 277.01 picometers is equivalent to 2.7701 × 10-⁸ centimetres in scientific notation.
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European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/h in 8 seconds. What is the speed after the first 5 seconds of acceleration?
Answer:
[tex]62.5[\frac{km}{h}][/tex]
Explanation:
if the required speed is 's', then it is possible to make up the next equation:
[tex]\frac{100}{8} =\frac{s}{5};[/tex]
finally,
s=100*5/8=62.5 [km/h].
How precise is the measurement of length? Of volume?
Answer:
The precision corresponds to the least count of the measurements, which is 0.1 cm 0.1 c m for the length of the box. In a similar manner, the precision of the volume is 0.01×103 cm3=10 cm3 0.01 × 10 3 c m 3 = 10 c m 3 .
With what speed must an object be projected vertically upward for it to reach a maximum height of 12.0 m above its starting point?
The speed that must be attained by the object when its projected upward vertically is 15.34 m/s.
What is speed?Speed is the ratio of the distance covered by a body to the total time.
To calculate the speed the object must attain, we use the formula below.
Formula:
v² = u²+2gh............. Equation 1Where:
v = Final speedu = Initial speedg = Acceleration due to gravityh = HeightFrom the question,
Given:
u = 0 m/sg = 9.8 m/s²h = 12 mSubstitute these values into equation 1
v² = 0²+2×12×9.8v² = 235.2v = √235.2v = 15.34 m/sHence, the speed that must be attained by the object when its projected upward vertically is 15.34 m/s.
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The law of conservation of mass states that ___________
A.) matter cannot be created or destroyed
B.)mass can be created if a chemical reaction occurs
C.) atoms conserve mass when they fuse to form molecules
The law of conservation of mass states that matter cannot be created or destroyed.
The law of conservation of mass states that the mass of the reactant must be equal to the mass of the product.
In 18th century law of conservation of mass was given by Levoisier.
It states that mass is neither created nor destroyed.
Example -
when wood burns the mass of the suit ,ashes and gases equal to the original mass of the charcoal. after heating the ice it will convert into water. Mass of the ice does not change after undergoes a physical. Change.
The law of conservation of mass states that matter cannot be created or destroyed.
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which of the statements is not correct
Answer:
The electrostatic interactive force between electrical charges is exactly the same as the gravitational interaction between them
Explanation:
The magnitude of charge is independent of the weight and displacement of the charge but only sign of the charge is the dependent factor.
[tex]{}[/tex]
. A sports car is advertised as being able to go from 0 to 60 in 6.00 seconds. If 60 mi/h is equal to 27 m/s, what is the sports car's average acceleration?
Answer:
Approximately [tex]2.2\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Acceleration is the rate at which velocity changes.
In this example, velocity has changed from [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex] to [tex]v_{1} = 27\; {\rm m\cdot s^{-1}}[/tex]. The total change in velocity is:
[tex]\begin{aligned}\Delta v &= v_{1} - v_{0} \\ &= 27\; {\rm m\cdot s^{-1}} - 0\; {\rm m\cdot s^{-1}} \\ &= 27\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].
This change happened over a period of [tex]\Delta t = 6.00\; {\rm s}[/tex]. Therefore:
[tex]\begin{aligned} & (\text{avg. acceleration}) \\ =\; & (\text{avg. rate of change in velocity}) \\ =\; & \frac{(\text{change in velocity})}{(\text{time required})}\\ =\; & \frac{\Delta v}{\Delta t} \\ \approx\; & \frac{27\; {\rm m\cdot s^{-1}}}{6.00\; {\rm s}} \\ \approx \; & 2.2\; {\rm m\cdot s^{-2}} \end{aligned}[/tex].
A cyclist coasts down a hill at 10 m/s. What does 10 m/s describe? Question 2 options: acceleration distance speed velocity
Answer:
speed
Explanation:
meters per second
If you are given values for Δx, v, and Δt, which kinematic equation could be used to find v0?
V = v0 + aΔt
Δx= (v + v0/ 2) Δt
v^2 = v0^2 2aΔx
Δx = v0Δt + 1/2 a (Δt)^2
The kinematic equation which could be used to find v₀ is Δx= (v + v₀/ 2) Δt; option B.
What are kinematic equations?Kinematic equations are equations which relates the motion of a body.
Kinematic equations shows the relationship between the various parameters of motion of a body:
change in position, Δxchange in time, Δtacceleration. ainitial velocity, v₀final velocity, vThe kinematic equations are given below:
V = v + a*ΔtΔx= (v + v₀/ 2) Δtv^2 = v₀² + 2aΔxΔx = v₀Δt + 1/2 a * (Δt)²Given the values for Δx, v, and Δt, the kinematic equation which could be used to find v₀ is Δx= (v + v₀/ 2) Δt
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Select the correct answer.
Which of these statements best fits the description of social change?
OA.
It is a harmful change in the evolution of a civilization,
OB. It is the change in pattern of human interactions and social structure.
OC. It is an organized and rational movement that has long-lasting effects.
OD. It is a change that occurs at an individual level.
Answer:
OB. It is the change in pattern of human interactions and social structure.
this could be the best from my opinion
What will be the acceleration of an object at rest with 70kg if the force exerted is 1400N?
Force = (mass) x (acceleration)
so
Acceleration = Force / mass
Acceleration = (1400 N) / (70 kg)
Acceleration = 20 m/s²
pls helppp
A model rocket has a mass of 0.2 kg, with a motor that can provide a force of 100 N. A second model rocket is being built with the
same motor, but it is being designed to accelerate half as much as the first rocket. What kind of change can be made in the design to
achieve this objective? (1 point)
O The mass of the second rocket should be 0.1 kg.
The mass of the second rocket should be 0.01 kg.
The mass of the second rocket should be 0.4 kg.
O The mass of the second rocket should be 0.2 kg.
The mass of the second rocket should be 0.4 kg in order for the acceleration to be half of the first rocket's acceleration.
We know that,
F = m a
where,
F = Force
m = Mass
a = Acceleration
Given that,
[tex]F_{1}[/tex] = 100 N
[tex]m_{1}[/tex] = 0.2 kg
[tex]F_{1}[/tex] = [tex]F_{2}[/tex] = 100 N
[tex]a_{2}[/tex] = [tex]a_{1}[/tex] / 2
[tex]F_{1}[/tex] = [tex]m_{1}[/tex] * [tex]a_{1}[/tex]
[tex]a_{1}[/tex] = 100 / 0.2
[tex]a_{1}[/tex] = 500 m / s²
[tex]a_{2}[/tex] = 500 / 2
[tex]a_{2}[/tex] = 250 m / s²
[tex]m_{2}[/tex] = 100 / 250
[tex]m_{2}[/tex] = 0.4 kg
According to Newton's second law of motion, acceleration of an object is the result of force acting on the object.
Therefore, The mass of the second rocket should be 0.4 kg
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A 100.0 kg person will need to climb a 10.0 m stairway how many times to "work off" each excess 20 Cal (kcal) consumed?
The person must climb the stairs about eight times.
What is the energy required?We know that energy is the ability to do work. Work and energy are two quantities that are dimensionally similar to each other. In this case, we are trying to obtain the number of times that A 100.0 kg person will need to climb a 10.0 m stairway how many times to "work off" each excess 20 Cal (kcal) consumed.
Now;
Work done by the person = mgh = 100.0 kg * 10 m/s^2 * 10 m = 10000 J
To convert from joules to kcal, we know that;
1 kcal = 4184 J
x = 10000 J
x = 1 kcal * 10000 J/4184 J
x = 2.39 kcal
In order to burn off the excess calories, the person must climb the stairs;
20 kcal/2.39 kcal = 8
The person must climb the stairs about eight times.
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According to Kepler's laws of planetary motion
the ratio of the mean radius of the orbit of a
planet cubed to the period of revolution of
the planet squared is constant for all planets
orbiting the Sun. Sketch a graph representing
this relationship.
The ratio of the cubes of any two planets' average distances from the sun (r) to their squares representing their periods (T) is equal to one.
What is the Kepler's law?First Law: The sun is at the center of elliptical planetary orbits.
Second Law: Equal areas are covered in equal amounts of time by the radius vector from the sun to a planet.
Third Law: For every planet, the ratio of the cube of the ellipse semimajor axis to the square of the period of revolution is the same.
The third law of Kepler, also referred to as the Law of Harmonies, states that the ratio of any two planets' squared periods to their squared average distances from the sun is equal to one. The third law compares a planet's orbital radius and period to those of other planets.
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What ia the speed of A car travels 100meters in 50 seconds what's it's speed