What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 84.0 kg?

Answers

Answer 1

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


Related Questions

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?

Answers

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:

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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.

Answers

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

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?

Answers

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!!

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?

Answers

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.

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

Answers

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.

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.

Answers

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

1
Name two safety measures commonly used in electric circuits and
appliances
lectric​

Answers

Answer:

always use insulated wire and use all the electrical appliances in proper way

The digital exchange of structured data is called ?

Answers

Answer:

Electronic data interchange

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?

Answers

Answer:

15.00124mmHg

Explanation:

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

Which of the following could not be responsible for the acceleration of an object? wind gravity density friction

Answers

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

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?`

Answers

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.

An agent has just listed a power plant. This is an example of what type of real estate?

Answers

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

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?

Answers

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.

How long would it take Exena to close the door if she doubled the magnitude of the force applied to the door

Answers

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.

describe the motion of an object for which the direction of the acceleration is the same as the direction of motion of the object

Answers

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

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.

Answers

Answer:

the answer is 0.8084

Explanation:

i just did it and got it correct

Choose the box as the system of interest. What objects in the surroundings exert significant forces on this system

Answers

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 earth

answer : 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

14in^2
express your answer to two significant figures and include the appropriate units.

Answers

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

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

Answers

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 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?

Answers

Answer:

230kg would be the best answer

Explanation:

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.

Answers

Answer:

The magnetic field strength due to current flowing in the wire is9.322 x 10⁻ 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⁻ T.

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

Answers

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.

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

Answers

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

What is the approximate radius of a nitrogen nucleus that has seven protons and seven neutrons?

Answers

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

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

Answers

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

what is the acceleration of the object?
______ m/s2​

Answers

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

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Generator What does RPM stand for? What four things can you adjust to get the highest maximum voltage?

Answers

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 frequency

Thus, 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

Light rays that are reflected twice inside a rain water droplet can produce a second-order rainbow. True False mim​

Answers

Answer:

Yes

Explanation:

The answer is true.

When you use a graduated cylinder in the lab, you can only use it to find the volume of liquids. (5 points)

True
False

Answers

this is true. they have numbers on the side that help to determine the volume.

Answer:

false

Explanation:

you can't only use it to find the volume of liquids

Does anybody know to solve this?

Answers

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

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