Frank has a mass of 30 kg. He is sitting on a swing which is 2.3 m long. His dad pulls him up to a height of 1.2 m above his lowest point and releases him.

b. What is his velocity at the bottom of his path?

Answers

Answer 1

Answer:

His velocity at the bottom of his path is approximately 4.85 m/s

Explanation:

From the question, we have;

The mass of Frank, m = 30 kg

The length of the swing which he is sitting on, l = 2.3 m

The height above the lowest point to which the dad pulls him, h = 1.2 m

Potential energy, P.E. = m·g·h

Where;

g = The acceleration due to gravity ≈ 9.8 m/s²

The maximum potential energy Frank gains, P.E.[tex]_{max}[/tex] is goven as follows;

P.E.[tex]_{max}[/tex] = 30 kg × 9.81 m/s² × 1.2 m = 353.16 J

Therefore, by the principle of conservation of energy, we have;

The maximum kinetic energy at the bottom of the swing, K.E.[tex]_{max}[/tex] = P.E.[tex]_{max}[/tex] =  353.16 J

K.E. = 1/2·m·v²

Where;

v = The velocity at the bottom of his path

∴ K.E. = 1/2 × 30 kg × v² = 353.16 J

v² = 353.16 J/(1/2 × 30 kg)

v² = 23.544 m²/s²

v = √(23.544 m²/s²) ≈ 4.85 m/s

His velocity at the bottom of his path, v ≈ 4.85 m/s


Related Questions

the speed of an electric locomotive is 90kmh .express this speed in m/s with method​

Answers

Answer:

24.3 m/s

Explanation:

1 kmh = 0.27 m/s, that makes a conversion ratio of 0.27/1kmh

[tex]\frac{90 kmh}{1}[/tex] x [tex]\frac{0.27 m/s}{1 kmh}[/tex]

The "kmh" n the top and bottom cancel out. And  then you just multiply the top 90 x 0.27 and the bottom 1 x 1 to get

[tex]\frac{24.3 m/s}{1}[/tex]

and since its over 1 its just 24.3 m/s

People should be more concerned about the global water budget than the local water budget.
True

Answers

Answer:

true

Explanation:

because global helps local

PLEASE HELPP I NEED TO PASS THIS !!

Answers

Option D is correct.

Explain what ionisation is and why it is dangerous

Answers

Ionisation: the loss or gain of an electron

It is dangerous because cells that have been ionised can either die, or can mutate incorrectly, which might cause cancer.

What is the relationship between potential and kinetic energy and electricity

Answers

Answer:

The primary relationship between the two is their ability to transform into each other. In other words, potential energytransforms into kinetic energy, andkinetic energy converts into potential energy, and then back again.

What happens to the temperature of an air mass as it rises, and why? What happens to the temperature of an air mass as it rises, and why? Temperature increases because fewer air molecules allow the air mass to expand. Temperature decreases because increasing numbers of air molecules allow the mass to expand. Temperature increases because more air molecules force the air mass to contract. Temperature decreases because fewer air molecules allow the air mass to expand. Temperature remains the same because fewer air molecules allow the air mass to expand.

Answers

Answer:

Temperature decreases because fewer air molecules allow the air mass to expand.

Explanation:

Temperature of air mass decreases as it rises . It is so because at upper strata

of atmosphere , air is sparse and therefore air molecules there is relatively less . It results in lower pressure around air mass going up . This results in expansion of gas . Molecules have to do work against mutual attractive force for expansion so their energy becomes less . This cools down the air.

describe what form of electromagnetic radiation does a radio use?

Answers

Radio waves are a type of electromagnetic (EM) radiation with wavelengths in the electromagnetic spectrum longer than infrared light. They have have frequencies from 300 GHz to as low as 3 kHz, and corresponding wavelengths from 1 millimeter to 100 kilometers.

A trampoline spring has a force constant k = 800 N/m and is stretched exactly 17.5cm. What is the energy required to do this?

Answers

Answer:

the energy required for the extension is 12.25 J

Explanation:

Given;

force constant of trampoline spring, k = 800 N/m

extension of trampoline spring, x = 17.5 cm = 0.175 m

The energy required for the extension is calculated as;

E = ¹/₂kx²

E = 0.5 x 800 x 0.175²

E = 12.25 J

Therefore, the energy required for the extension is 12.25 J

What are 4 physical properties for the bear

Answers

Answer:

A bear normally has a short, thick neck, a rounded head, a pointed muzzle, short ears, and small eyes. Some species have round faces. Bears have poor eyesight, and most have only fair hearing.

Explanation:

Modern Bears are characterized with large body and stocky legs, a long snout, shaggy hair, plantigrade paws with five non-retractile claws and a short tail.

Grizzly bears (Ursus arctos horribilis) have concave faces, a distinctive hump on their shoulders, and long claws about two to four inches long. Both the hump and the claws are traits associated with a grizzly bear's exceptional digging ability. Grizzlies are often dark brown, but can vary from blonde to nearly black.

The brown bear has a slight hump above its shoulder, round ears, a long snout and big paws with long, curved claws that it uses for digging. Unlike the black bear, it can't climb trees. It can weigh between 350-1,500 pounds. When standing on its hind legs it can be up to 5 feet tall.

Hope this helps     :)

(I didn't know which type of bear so i did brown bear and grizzly bear)

8. List the objects in order from least to greatest inertia
A
B
D
5 kg
4 kg
3 kg
10 kg
a = 1 m/s/s
a 3 m/s/s
a 2 miss
a= 0 m/s/s

Answers

Answer:

mhibyguftyftfrehlknmjhbn

Explanation:

njhvvtfryvbnyuhnuihnjhk

PLEASEHELP THANK YOU SM

Answers

Answer:

I belive it would be the first answer choice.

Explanation:

When the Mass is lower, the ball moves faster so it would have more kintetic energy

yeah the answer would be the first one :)

Which of the following is NOT a component of skill-related fitness?
A.balance
B.speed
C. Power
D. Heart rate

Answers

Answer:

D

Explanation:

The 1st 3 are important components

sorry for miss spells

What is the net force in the y-direction?

0 N
25 N
225 N
250 N

Answers

The correct option is (1) 0 N.

Net force in the y direction is 0 if the vector sum of your forces acting in the y direction is zero.The forces acting on an item are balanced when the net force is zero. Two forces that are acting in the same direction cancel one another out. An item will always remain at rest if the forces are out of balance.

Formula of net force -

                              FNet = Fa + Fg + Ff + .............. FN.

Definition of force

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull.

Learn more about net force brainly.com/question/15711576

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A hot air balloon traveled 4 hours at a speed of 200 km/hr. What distance did it travel?

Answers

Distance = speed * time
4 hours * 200 km/hour
200 km to miles: 124.274
4 * 124.274 = 497.096 miles

Which action has more power

Answers

What action over what
Which action is it? There is no picture

Scenario:
Two marbles role down a hill.
Marble 1 has a mass of 0.2g
Marble 2 has a mass of 1.2g
Marble 1 traveled 22cm in 0.8 seconds
Marble 2 traveled 26cm in 0.8 seconds

Determine the Kinetic Energy involved with each marble
Formulas you will need;

KE = (1/2)mv^2
v=d/t

Answers

Explanation:

K.E. of marble 1 = (1/2) × 0.2 × (22/0.8) ^2

= 0.1 × 756.25

= 75.625

K.E. of marble 2 = (1/2) × 1.2 × (26/0.8)^2

= 0.6 × 1056.25

= 633.75

answer this plsss
The range of human hearing is 20 Hz – 20 000 Hz.
Calculate the longest and shortest wavelengths we can hear.

Answers

Explanation:

the velocity of sound in air is 330m/s

and v=fh, where h is wavelength f is frequency,

h=v/f.......(1)

longer wavelength

h=330/20,h=16.5m

shorter wavelength

h=330/20000,h=1.65x10-²m

The lesser frequency was used for finding the longer wavelength since wavelength is inversely proportional to frequency,

thus an increase in frequency brings a decrease in wavelength.

and shorter wavelengths are more high and intense

hope this helps

How much work (MJ) must a car produce to drive 125 miles if an average force of 306 N must be maintained to overcome friction?

Answers

Answer:

The right solution is "61.557 MJ". A further explanation is given below.

Explanation:

The given values are:

Force,

F = 306 N

Drive,

D = 125 miles,

i.e.,

  = 201168

meters

As we know,

The work done will be:

= [tex]F\times S[/tex]

On substituting the given values, we get

= [tex]306\times 201168[/tex]

= [tex]61557408 \ J[/tex]

On converting it in "MJ", we get

= [tex]61.557\times 10^6 \ J[/tex]

= [tex]61.557 \ MJ[/tex]

Having some trouble with this one :/

An object has a kinetic energy of 50 J and a velocity of 5 m/s, what is the mass of the object?

Answers

Answer:

Mass, M = 4 kilograms.

Explanation:

Given the following data;

Kinetic energy = 50 J

Velocity = 5 m/s

To find the mass of the object;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Making mass the subject formula;

[tex] M = \frac{2K.E}{V^{2}}[/tex]

Substituting into the equation, we have;

[tex] M = \frac{2*50}{5^{2}}[/tex]

[tex] M = \frac{100}{25}[/tex]

Mass, M = 4 kg


A(n) _____ is an object that stops
electrons from completing the circuit.

Answers

Insulator is the answer

WILL GIVE BRAINLIST QUICK!!! How does biodiversity support different varieties of species? (please put short answer)

Answers

Biodiversity boosts ecosystem productivity where each species, no matter how small, all have an important role to play.A larger number of plant species means a greater variety of crops. Greater species diversity ensures natural sustainability for all life forms.

which type of thermometer is used to measure the temperature of a very hot object and why?​

Answers

Answer:

Pyrometer, device for measuring relatively high temperatures, such as are encountered in furnaces. Most pyrometers work by measuring radiation from the body whose temperature is to be measured. Radiation devices have the advantage of not having to touch the material being measured.

Explanation:

The current of a circuit with a 3.0-volt battery and 1.0 ohm of resistance is __ amps

Answers

Answer:

3 amps

Explanation:

V = IR

I = [tex]\frac{V}{R}[/tex]

I =[tex]\frac{3}{1}[/tex]

I = 3 amps

As the north pole of the magnet approaches the solenoid, a current is induced in the solenoid, creating an electromagnet. The end closest to the north pole will be a ____ pole.

Answers

Answer:

south

Explanation:

An electromagnet is a magnet that is formed when a current wire loop is rotated in a magnetic field, a current gets induced in the wire loop. A changing magnetic field causes an electric current in the wire loop.

A solenoid is a wire coil into a wire coil. When a iron piece in placed inside the solenoid it becomes electromagnet.

Since the north pole of a magnet approaches a solenoid, current is induced and the end near the north pole of the magnet becomes the south pole as like poles distract and unlike poles attract.

A disk-shaped space station 125 m in diameter spins at a constant angular velocity. If the acceleration of a point on the rim of the disk is to be equal to "g", how long does it take for the station to make one revolution?

Answers

Answer:

  t = 22.44 s

Explanation:

The acceleration of the station is centripetal which has the formula

         a = v² / r

linear and angular velocity are related

         v = w² r

as they indicate that the acceleration is equal to the acceleration of gravity

         g = w² r

         w = [tex]\sqrt{ \frac{g}{r} }[/tex]

         

let's calculate

         w = [tex]\sqrt{ \frac{9.8}{ 125} }[/tex]

         w = 0.28 rad / s

to calculate the time use us

          w = θ / t

in a complete revolution θ = 2pi

          t = θ / w

let's calculate

          t = 2π / 0, 28

          t = 22.44 s

In a thunderstorm at 32.0°C, Reginald sees a bolt of lightning and hears the thunderclap 2.00s later. How far from Reginald did the lightning strike? The speed of sound through air at 32.0° C is 350.2 m/s.

Answers

Answer:

dont have the answer but you cute

Explanation:

An aneurism refers to?
a. a blocked blood vessel
b. varicose vein
c. a hole or weakness in an artery
d. plaque development on the inside of artery wall

Answers

Answer:

The correct answer is a blocked blood vessel.

Explanation:

Hope this helped Mark BRAINLIEST!!!

The oxygen side of a water molecule is

Answers

The answer is Slightly negative

Where on the periodic table are metal elements most likely found?
A. Along the stairstep line
B. In the main groups
C. On the left side
D. On the right side

Answers

Metal elements are most likely found on the left side of the periodic table. Details about periodic table can be found below.

What is periodic table?

Periodic table is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group or column.

Metallic elements are one of the group of elements found on the periodic table and they include the following:

CalciumPottasiumScandium

Metallic elements are located on the left hand side of the periodic table.

Learn more about periodic table at: https://brainly.com/question/11155928

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Answer: (A) Along the stairstep line

Explanation:

Two football players with mass 75 kg and 100 kg run directly toward
each other(this means they are running in the opposite directions).
The 75 kg player has a speed of 6m/s to the right and the 100 kg
player has a speed of 8 m/s to the left. What is the momentum of
the 75 kg player?

Answers

Answer:

A. 2 m/s

(m x v) (m x v) = (m+m)v

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