Complete question:
The length of nylon rope from which a mountain climber is suspended has an effective force constant of 1.40 ×10⁴ N/m.
What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 84.0 kg?
Answer:
The frequency (in Hz) at which he bounce is 2.054 Hz
Explanation:
Given;
effective force constant, K = 1.40 ×10⁴ N/m.
The total mass = his mass plus the mass of his equipment, m = 84 kg
The frequency (in Hz) at which he bounce is given by;
[tex]f = \frac{1}{2\pi} \sqrt{\frac{k}{m}}\\\\f = \frac{1}{2\pi} \sqrt{\frac{1.4*10^4}{84}}\\\\f = 2.054 \ Hz[/tex]
Therefore, the frequency (in Hz) at which he bounce is 2.054 Hz
Alice drops a rock to a well. She hears the splash of the rock 4.1s later. The speed of sound is 340m/s. How deep is the well
Answer:
697 m
Explanation:
From the question above,
Note: Alice hears the splash of the rock in the well through the help of echo.
Applying,
v = 2x/t........................ Equation 1
Where v = speed of sound, x = depth of the well, t = time.
make x the subject of the formula in equation 1
x = vt/2................... Equation 2.
Given: v = 340 m/s, t = 4.1 s
Substitute these values into equation 2
x = 340(4.1)/2
x = 697 m.
You are piloting a small airplane in which you want to reach a destination that is 750 km due north of your starting location. Once you are airborne, you find that (due to a strong but steady wind) to maintain a northerly course you must point the nose of the plane at an angle of 22 west of true north. From previous flights on this route in the absence of wind, you know that it takes you 3.14 h to make the journey. With the wind blowing, you find that it takes 4.32 h. A fellow pilot calls to ask you about the wind velocity (magnitude and direction). What is your report? FYI so you can check yourself the answers are 101 km/h at 62 degrees east of south.
Answer:
v_wind = 101.46 km / h , θ = 61.8
Explanation:
This is a velocity composition exercise.
Let's do the problem in parts. Let's start by knowing the speed of the plane without air.
v = d / t
v = 750 / 3.14
v = 238.85 km / h
This is the speed of the plane relative to the Earth and it does not change.
In the second part, when there is wind, the travel time is greater than when there is no wind, therefore the wind delays the plane. To be more general, suppose that the wind has two components vₓ and [tex]v_{y}[/tex]
Let's use trigonometry to find the components of the plane's speed
cos θ = v_N / v
sin θ = v_W / v
v_N = v cos θ
v_W = v sin θ
let's calculate
V _N = 238.85 cos 22 = 221.46 km / h
v_W = -238.85 sin 22 = -89.47
the negative sign is because the plane is going west and the positive sign is the east direction.
As it indicates that the destination of the avine is towards the north, the x component of the wind must be
vₓ - v_W = 0
vₓ = v-w
vₓ = 89.47 km / h
in the direction to the East.
Now let's analyze the component of the wind in the Nort-South direction,
Indicate the travel time, let's calculate the speed that the component must have the speed of the plane
v_total = d / t
v_total = 750 / 4.32
v_total = 173.61 km / h
This is the final speed of the plane, which can be written
v_total = v_n - vy
vy = v_n - v_total
vy = 221.46 - 173.61
vy = 47.85 km
this component is directed towards the south
Let's use the Pythagorean Theorem, to find the magnitude
v_wind² = vₓ² + vy²
v_wind = √ (89.47² + 47.85²)
v_wind = 101.46 km / h
the address will then be found using trigonometry
θ = Vy / vx
θ = tan⁻¹ (vy / vx)
θ = tan⁻¹1 (47.85 / 89.47)
θ = 28.14
Therefore, the magnitude of the wind speed is 101.5 km / h and its direction is 28º south of the East, to give this value
90- θtea = 90- 28.2
θ = 61.8
East of South
Does anybody know to solve this?
Answer:
25600 cm
2.56 x 10⁴ cm
Explanation:
Step 1: Find conversion
There are 100 cm in 1 m.
Step 2: Set up dimensional analysis
[tex]256m(\frac{100cm}{1 m} )[/tex]
Step 3: Multiply and cancel out units
25600 cm
2.56 x 10⁴ cm
Which of the following could not be responsible for the acceleration of an object? wind gravity density friction
Answer:
The correct answer to this question is D) Density
EXPLANATION:
From Newton's second laws of motion, we know that the external force acting on a body is equal to the product of mass with the acceleration of the body.
Mathematically Force F = m × a
Here, m is the mass of the body.
a is the acceleration of the body.
Hence, it is the force which is responsible for creating acceleration in an object.
In the given question, we have four factors i.e wind, friction, gravity and density.
Out of the four options, wind, friction and gravity can exert force on an object and can create acceleration in it.
The density of a body is defined as the mass of that body per unit volume.
Mathematically it is written as -
Density d = \frac{m}{v} where v is the volume occupied by the body.
Hence, density will not be responsible for the acceleration of the body.
Answer:
Density
Explanation:
Hope this helps and its different for everyone for me it was C what was it for you
Which of the following statements is/are true for ultrasonic test?a. Equipment used for ultrasonic testing is portableb. Complicated shapes can be easily scannedc. Waves generated are health hazardousd. All the above statements are true
Answer:
Equipment used for ultrasonic testing is portable
Explanation:
An ultrasonic tester is used to detect flaws such as cracks and leaks. Hence, an ultrasonic tester is an integral tool used in material testing and engineering, manufacturing quality control, equipment condition monitoring, building and bridge inspection and much more.
Ultrasonic testing can be performed on steel and other metals and alloys, though it can also be used on concrete, wood and composites, although with less resolution.
A creature moves at a speed of 7.86 furlongs/fortnight (not a very common unit of speed). If 1.0 furlong = 220 yards 1 fortnight = 14 days 1 yard = 0.9144 meter and 1 day= 86400 sec find the speed of the creature (which is probably a snail).
1. 2.28745 × 109 m/s
2. 0.00130719 m/s
3. 1.16706 × 107 m/s
4. 47261.3 m/s
5. 0.25621 m/s
6. 39516.4 m/s
7. 5.29359 × 10−6 m/s
Answer:
2 0.00130719 m/s
Explanation:
Now we have
7.86 furlongs/fortnight
7.86 x 220 yards / fortnight
1729.2yards / fortnight
1647.8 yards / 14 days
123.5yards / day
So
123.5 x 0.9144 meter / day
112.meters / day
=112.9meters / 86400s
= 0.001307m/s
How long would it take Exena to close the door if she doubled the magnitude of the force applied to the door
Answer:
y /y₀ = 1 /√2 = 0.70
Explanation:
To close the door, a torque must be applied in such a way that there is an angular acceleration and after a period of time the angle of the door moves.
If the force is doubled keeping the other parameters without altering angular acceleration is
F r = I α
α = F r / I
if we double the force
α = 2F r / I
α=2 α₀
let's use the angular kinematics relations
θ = w₀ t + ½ α t²
we assume the door was still before pushing it
θ = ½ a t²
t = √ (2θ / a)
as we saw the angular acceleration is double
t = √ (2θ / 2a₀)
t = 1 / √2 a₀
the relationship between the two times is
y /y₀ = 1 /√2 = 0.70
This time that has been reduced closes the door.
A 1000 kg elevator is accelerated upward at a rate of 0.70 m/s2. What is the tension in the cable pulling the elevator upward when it experiences this acceleration?
Answer:
[tex]\Huge \boxed{\mathrm{700 \ N}}[/tex]
Explanation:
Tension is the force exerted.
[tex]\sf Force \ (N) = mass \ (kg) \cdot acceleration \ (m/s^2)[/tex]
[tex]F=1000 \cdot 0.70[/tex]
[tex]F=700[/tex]
The tension in the cable is 700 N.
The tension of an body moving upward can be calculated from its weight and normal force. The tension in cable pulling with an acceleration of 0.7 m/s² is 10500 N.
What is tension?Tension is kind of force actually made by pulling a moving body. Like the force exerted by a cable, chain, string or a rope etc.
When an object gains potential energy with a restoring force if existing , then the restoring force will create a tension force. It is a transmitted force and can be calculated from the normal force acting.
It is given that the mass of the elevator is 1000 Kg, then its weight is mass multiplied by gravity of 9.8 m/s². Thus weight of the elevator is 1000 × 9.8 m/s² = 9800 N
The normal force is F = ma is calculated from the mass and acceleration as follows:
F = ma
= 1000 kg ×0.70 m/s²
= 700 N.
The tension force is the sum of weight of he body and the normal force,
Thus T = w + ma
T = 9800 N + 700 N
= 10500 N.
Therefore, tension in cable pulling with an acceleration of 0.7 m/s² is 10500 N.
To find more about tension, refer the link below:
https://brainly.com/question/2287912
#SPJ2
In which of these star groups would you mostly likely find the least heavy-element abundance for the stars within them: open clusters, globular clusters, or associations?
Answer: globular clusters
Explanation:
A globular cluster is a star which is usually spherical, it’s a collection of stars which is known to orbits a galactic core. Globular clusters are usually very tightly bound together by gravity, this helps in giving them their spherical shapes which they are known for, and it’s relatively high stellar densities which is found toward their centers.
Katie rolls a toy car off the end of a table. Which path will the car follow when it leaves the table? A. B. C. D.
Answer:
parabolic path
Explanation:
As the cart reaches the end of the table with a horizontally directed velocity (only horizontal component), the cart will follow a parabolic path given by the combined action of:
(1) kinematic equation for motion under constant velocity in the horizontal direction (linear expression in terms of time), and
(2) kinematic equation for motion under constant acceleration (that of gravity) in the vertical direction (quadratic expression in terms of time)
Answer:
C.
Explanation:
Due to gravity and air resistance— its gonna make a curved path
The volume of a ball was measured at 500.0 cm3, and then mass was measured on this triple beam balance. What would be the most accurate reading for the mass of the ball?Using this mass, what would be the most accurate calculation of density for the ball? Round to the nearest ten thousandths.
Answer:
the answer is 0.8084
Explanation:
i just did it and got it correct
When you use a graduated cylinder in the lab, you can only use it to find the volume of liquids. (5 points)
True
False
Answer:
false
Explanation:
you can't only use it to find the volume of liquids
The digital exchange of structured data is called ?
Answer:
Electronic data interchange
An athlete needs to lose weight and decides to do it by “pumping iron.” (a) How many times must an 90.0 kg weight be lifted a distance of 0.890 m in order to burn off 1.00 lb of fat, assuming that that much fat is equivalent to 3500 kcal? (b) If the weight is lifted once every 2.10 s, how long does the task take?
Answer:
230kg would be the best answer
Explanation:
What is the approximate radius of a nitrogen nucleus that has seven protons and seven neutrons?
Answer:
3.5E-15m
Explanation:
Using
R= Ro A^ 1/3
Where Ro= 1.2fm
and A= 7
= 1.2*10^-15 x (7)^1/3
= 3.5*10^-15m
Choose the box as the system of interest. What objects in the surroundings exert significant forces on this system
Answer:
Hello your question is incomplete attached below is the complete question
Your are lifting a heavy box we will consider this process for different choices of system and surroundings
Choose the box as the system of interest. What objects in the surroundings exert significant forces on this system
The floor the box you nonethe earthanswer : The earth and YOU
Explanation:
The objects that will exert significant force on this system would be the force exerted by the earth and force exerted by you
This is because the force exerted by the earth is an internal force and it can be calculated as : m*g ( mass of the object * acceleration due to gravity ) also the force exerted by you are force due to normal reaction when lifting a load
Generator What does RPM stand for? What four things can you adjust to get the highest maximum voltage?
Answer:
revolution per minutes
Explanation:
increase number of turns on coil
increase speed
use of permanent magnet
increase in speed of object
RPM stands for revolution per minutes.
The four things you can adjust to get the highest maximum voltage are the number of turns of coil, the strength of the magnetic field, the area of the coil, and the angular frequency of the coil.
RPM stands for revolution per minutes; which describes the number of turns made by the coil in a single minute.
The induced voltage in the generator coil is calculated as follows;
[tex]E_{max} = NBA \omega[/tex]
where;
N is the number of turnsB is the strength of the magnetic fieldA is the area of the coilω is the angular frequencyThus, the four things you can adjust to get the highest maximum voltage are the number of turns of coil, the strength of the magnetic field, the area of the coil, and the angular frequency of the coil.
Learn more here:https://brainly.com/question/12903764
El tubo de entrada que suministra presión de aire para operar un gato hidráulico tiene 2 cm de diámetro. El pistón de salida es de 32 cm de diámetro. ¿Qué presión de aire se tendrá de aire se tendrá que usar para levantar un automóvil de 17,640 N?`
Answer:
La presión neumática para levantar un automóvil de 17,640 newtons es 220,500 pascales.
Explanation:
Asumiendo que la presión ([tex]P[/tex]), medida en pascales, tiene una distribución uniforme sobre la superficie del pistón, se calcula a partir de la siguiente expresion:
[tex]P = \frac{F}{A}[/tex]
Donde:
[tex]F[/tex] - Fuerza motriz, medida en newtons.
[tex]A[/tex] - Área del pistón, medida en metros cuadrados.
La fuerza motriz es equivalente al peso del automóvil. El área del pistón ([tex]A[/tex]), medido en metros cuadrados, es determinado por:
[tex]A=\frac{\pi}{4}\cdot D^{2}[/tex]
Donde [tex]D[/tex] es el diámetro del pistón, medido en metros.
Si [tex]D = 0.32\,m[/tex] y [tex]F =17,640\,N[/tex], entonces la presión neumática es:
[tex]A = \frac{\pi}{4}\cdot (0.32\,m)^{2}[/tex]
[tex]A \approx 0.080\,m^{2}[/tex]
[tex]P = \frac{17,640\,N}{0.080\,m^{2}}[/tex]
[tex]P = 220,500\,Pa[/tex]
La presión neumática para levantar un automóvil de 17,640 newtons es 220,500 pascales.
1
Name two safety measures commonly used in electric circuits and
appliances
lectric
Answer:
always use insulated wire and use all the electrical appliances in proper way
what is the acceleration of the object?
______ m/s2
Answer:
-2.5
Explanation:
Edge 2020
By observing the given graph The acceleration of the object would be -2.5 m/s², in other words, one can say the deacceleration of the object is 2.5 m/s²
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
acceleration =change in velocity/change in time
The slope of the velocity time diagram represents the acceleration of the moving object
As we can see from the graph the Y axis is representing the velocity and the X axis is representing the time
The Y coordinate changes from 40 m/s to 10 m/s and the X coordinates change from 0 s to 12 seconds
slope = (10 -40 )/(12-0)
acceleration = 30/12
acceleration = -2.5 m/s²
Thus, By looking at the provided graph In other terms, the object's acceleration would be -2.5 m/s2, or its deacceleration would be 2.5 m/s².
Learn more about acceleration from here
brainly.com/question/2303856
#SPJ5
The aqueous humor in a person's eye is exerting a force of 0.242 N on the 1.21 cm2 area of the cornea. What pressure is this in mm Hg?
Answer:
15.00124mmHgExplanation:
Pressure is defined as the ratio of force applied to an object to its area.
Pressure = Force/Area
Given parameters
Force = 0.242N
Area = 1.21cm²
Required parameters
Pressure = 0.242/1.21
Pressure = 0.2N/cm²
Using the conversion to convert the pressure to mmHg
1N/cm² = 75.0062mmHg
0.2N/cm² = y
y = 0.2 * 75.0062
y = 15.00124mmHg
Hence the pressure in mmHg is 15.00124mmHg
describe the motion of an object for which the direction of the acceleration is the same as the direction of motion of the object
Answer:
motion of an object for which the direction of the acceleration is the same as the direction of motion of the object occurs when the body or object travels with an increase in velocity
Explanation:
Because for direction of object to be the same with direction of acceleration velocity must be increasing
14in^2
express your answer to two significant figures and include the appropriate units.
Answer:
= 9.3*10^-3m²
Explanation:
To solve this we must do some conversions
So we know that
1 inch=0.0254 m
And
So 1 inch x 1 inch = 6.4514 x 10^-m²
So 14 inch²= 14 * (6.4514 x 10^-4m²)
= 9.3*10^-3m²
In the park, there are 25 pigeons, 15 squirrels, 5 rabbits, and 5 stray cats. Why
can't you draw a line graph using only this information?
Answer: Line graph should be used to show how one variable changes over time not to show multiple categories or variables are at one specific point in time.
Explanation:
In maths, statistics, and related fields, graphs are used to visually display variables and their values. In the case of line graphs, these are mainly used to display evolution or change of a variable over time. For example, a line graph can show how the number of divorces changed from 1920 to 2010.
In this context, the number of different animals in the park cannot be represented through a line graph because this situation does not imply a variable changing over time. Moreover, this situation includes multiple variables or categories of animals and the data shows only one specific point in time, which can be better represented through a bar graph.
Any body moving with simple harmonic motion is being acted on by a force that is:__________.
a) proportional to a sine or cosine function of the displacement
b) directly proportional to the displacement
c) proportional to the inverse square of the displacement
d) constant
Answer:
B
Explanation:
Because this oscillations occur when the restoring force is directly proportional to displacement, given as
F=-kx
Where k= force constant
X= displacement
An agent has just listed a power plant. This is an example of what type of real estate?
Answer: industrial properties
Explanation:
The power plant listed by the agent falls under industrial property. An industria property is a property which is either used in manufacturing, rentage, warehousing, processing e.t.c.
in this case the plant Would be used in the generation of power which would be sold. so yes the property falls under the category
A 21.3 A current flows in a long, straight wire. Find the strength of the resulting magnetic field at a distance of 45.7 cm from the wire.
Answer:
The magnetic field strength due to current flowing in the wire is9.322 x 10⁻⁶ T.
Explanation:
Given;
electric current, I = 21.3 A
distance of the magnetic field from the wire, R = 45.7 cm = 0.457 m
The strength of the resulting magnetic field at the given distance is calculated as;
[tex]B = \frac{\mu_o I}{2\pi R}[/tex]
Where;
μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A
[tex]B = \frac{\mu_o I}{2\pi R}\\\\B = \frac{4\pi*10^{-7} *21.3}{2\pi(0.457)}\\\\B = 9.322 *10^{-6} \ T[/tex]
Therefore, the magnetic field strength due to current flowing in the wire is 9.322 x 10⁻⁶ T.
A worker is pushing a crate of tools up a ramp into a truck. The crate has a mass of 120 kg and is accelerating at a rate of 1.05 m/s^2. Once he finishes pushing that crate up, he then takes another crate that is 3 times as massive and pushes it up the ramp with an acceleration of 0.71 m/s^2. What is the ratio of the force the worker used on the on the 120 kg crate and the more massive crate?
Answer:
B) 0.493
Explanation:
First Crate
Formula: F=ma
120kg*1.05m/s^2= 126N
Second Crate
Formula: F=ma
3*120kg=360kg
360kg*0.71m/s^2=255.6
Find the ratio by dividing
120kg/255.6kg=0.4929
Round 0.4929=0.493
Hope this Helps!!
Describe the movement of molecules in solids, liquids, and gases.Be sure to explain why the molecules move differently in each state of matter.
will mark brainliest
Answer:
The movement of molecules in a matter is random. Molecules vibrate, and collide with neighboring molecules. According to the gas laws, this collisions are perfectly elastic, and do not lead to energy or momentum loss. The kinetic energy of motion of the molecules is dependent on the temperature of the matter, and molecules of hotter matters vibrates faster than that of a colder matter.
In the different states of matter, the motion of the molecules varies. Solid molecules move the least because of the stronger bond relative to the kinetic energy of the molecule. This is why solid matters can keep their shapes, and are not easily compressed. Liquids molecules move more that solid molecules, but are still relatively close together. Bonds in liquid molecules are less strong than that of solid molecules, and hence they do not have a definite shape but take the shape of their container. Gas molecules travel at great speed, and move very much far from each other. The bond strength between gas molecules are negligible, and they are highly compressible.
Answer:
gas vibrate and move freely at high speeds. liquid vibrate, move about, and slide past each other. solid vibrate but generally do not move from place to place
Light rays that are reflected twice inside a rain water droplet can produce a second-order rainbow. True False mim
Answer:
Yes
Explanation: