A pendulum has a mass of 1.5 kg and starts at a height of 0.4 m if it is released from rest how fast is it going when it reaches the lowest point of its path?

Answers

Answer 1

Answer:

The speed of the pendulum when it reaches the lowest point of its path is 2.8 m/s

Explanation:

Given;

mass of pendulum, m = 1.5 kg

height of pendulum, h = 0.4 m

At the highest point, the velocity of the pendulum is zero and the kinetic energy  is zero, so the total energy at that point is potential energy;

U = mgh

At the lowest point, the height of the pendulum is zero and the potential energy is zero, so the total energy at that point is kinetic energy;

KE = ¹/₂mv²

Apply the principle of conservation of mechanical energy

KE = U

¹/₂mv² = mgh

¹/₂v²  = gh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 0.4)

v = 2.8 m/s

Therefore, the speed of the pendulum when it reaches the lowest path is 2.8 m/s


Related Questions

1.A car starts from rest and acquires a velocity of 54 km/h in 2 minutes.Find(i) the acceleration and(ii) distance travelled by the car during this time.Assume,motion of the car is uniform.

Answers

Answer:

1.) 1620 km/h^2

2.) 2.7 km

Explanation:

1.) Given that the car start from rest. The initial velocity U will be equal to zero. That is,

U = 0.

Final velocity V = 54 km/h

Time t = 2 minute = 2/60 = 1/30 hour

Acceleration a will be change in velocity per time taken. That is,

a = ( V - U )/ t

Substitute V, U and t into the formula

a = 54 ÷ 1/30

a = 54 × 30 = 1620 km/h ^2

2.) Distance travelled S by the car during the time can be calculated by using the 2nd equation of motion.

S = Ut + 1/2at^2

Substitute all the parameters into the formula

S = 54 × 1/30 + 1/2 × 1620 × (1/30)^2

S = 54/30 + 810 × 1/900

S = 54/30 + 810/900

S = (1620+810)/900

S = 2430/900

S = 2.7 km.

Therefore, distance travelled by the car during this time is 2.7 km

A train moves at a constant velocity of 50 km/hHow far will it move in 0.5 h?
A. 10 km
B. 45 km
C.25 km
D. 20 km

Answers

Answer:

C

Explanation:

[tex]\dfrac{50km}{h}\cdot 0.5h= \\\\\\50km\cdot 0.5=25km[/tex]

Therefore, the correct answer is choice C. Hope this helps!

The correct answer is C.

It is C because .5 h is equal to 30 minutes. So half of 50 km is 25 km(Divided by 2)

During the warm-up and your scheduled physical activity, what was the weather like? Did the
temperature or conditions affect how much water you drank? How?

Answers

yes, if weather was hot you need more fluids in your body due to the sweat pores needing to cool you down.

Answer: I did these exercises outdoors. The weather was hot and humid, so I drank about two cups of water during the workout. I also drank a cup of water about an hour before I started. Yes, the weather most definitely affected how much I drank.

Explanation: Edmentum

when a person jumps up he or she is able to come down because of what?​

Answers

Answer:

due to gravity........hope its helpful

Answer:

when a person jumps up he or she is able to come down because of the force of gravitation which pulls it back towards the Earth.

Reto: Aníbal desea construir una carpa de base hexagonal de 1,40 m de altura. El vértice de la base es de 0,80m y la longitud de la arista lateral mide 1,80m. ¿cuanto de tela necesito para cubrir la superficie lateral de la carpa? ¿cuanto de tela necesito para cubrir la base de la pirámide, que es un hexágono regular? Cuál es el volumen de la pirámide? ¿cuál es el área total de la pirámide?

Answers

Answer:

1.- para cubrir la superficie lateral 4.32 metros²

2.- Area de la base  2.15 metros²

3.- Volumen 1 m³

4.- Area total 6.47 metros²

Explanation:

El área lateral sera calcular el area de seis triangulos iguales cuya base es

0.80 de base x 6 lados = 4.80 metros perimetro de la base

4.80 perimetro de base x 1.80 arista lateral / 2 = 4.32m2

Area de la base:

Perímetro x Apotema / 2

Siendo la Apotema la altura de los triangulos que componen un hexagono calculada utilizando el teorema de pitágoras:

[tex]\sqrt{0.8^2 + (0.8/2)^2} = Apotema[/tex]

Apotema = 0.894427191

Area: 4.80 x 0.894427191 / 2 = 2.146625258

sumando el area de la base mas el area lateral se obtiene el area total

2.15 + 4.32 = 6.47 metros

Volumen de la pirámide:

Area de la Base x Altura / 3

2.15 x 1.40 / 3 = 1.00333 m3

The average battery in a car supplies a current of 3.5 A from a
12.6 V battery to the engine. How much power is consumed by
the engine?

Answers

Answer:

44.1 W

Explanation:

Power = Voltage x current

(P = VI)

P = 12.6 x 3.5

P = 44.1 W

to get a flat uniform cylindrical satellite spinning at the correct rate, scientists fire 4 tangential rockets. suppose that the satellite has a mass of 3600 kg and a radius of 4m, and that the rockets each add a mass of 250 kg. what is the steady force required of each rocket if the satellite is to reach 32 rpm in 5 min starting from rest.

Answers

Answer:

The steady force required of each rocket is 31.36 N

Explanation:

Given that,

Mass of satellite = 3600 Kg

Radius = 4 m

Mass of rocket = 250 kg

Time = 5 min

Angular velocity = 32 rpm

We need to calculate the moment of inertia

Using formula of moment of inertia

[tex]I=\dfrac{1}{2}Mr^2+4mr^2[/tex]

Where, M = mass of satellite

r = radius

m = mass of rocket

Put the value into the formula

[tex]I=\dfrac{1}{2}\times3600\times4^2+4\times250\times4^2[/tex]

[tex]I=44800\ kg-m^2[/tex]

We need to calculate the angular acceleration

Using formula of angular acceleration

[tex]\alpha=\dfrac{\omega}{t}[/tex]

Where, [tex]\omega[/tex] = angular velocity

t = time

Put the value into the formula

[tex]\alpha=\dfrac{2\pi\times32}{3600\times5}[/tex]

[tex]\alpha=0.0112\ rad/s^2[/tex]

We need to calculate the steady force required of each rocket

Using formula of torque

[tex]\tau=I\alpha[/tex]

[tex]4rF=I\alpha[/tex]

[tex]F=\dfrac{I\alpha}{4r}[/tex]

Put the value into the formula

[tex]F=\dfrac{44800\times0.0112}{4\times4}[/tex]

[tex]F=31.36\ N[/tex]

Hence, The steady force required of each rocket is 31.36 N

The steady force required of each rocket is = 31.36 N

Given data:

mass of satellite ( M ) = 3600 kg

radius of satellite ( r )  = 4 m

mass added by each rocket ( m ) = 250 kg

Angular speed of satellite = 32 rpm

Time = 5 mins  

First step : Calculate the value of the moment of inertia

I = [tex]\frac{1}{2} Mr^2 + 4mr^2[/tex] ----- ( 1 )

where : M = 3600 kg,  m = 250 kg,  r = 4m.

Insert values into equation ( 1 )

I = 44800 kg-m^2

Next step : Determine the angular acceleration

∝ = ω / t

  = ( 2π * 32 ) /  3600 * 5

  = 0.0112 rad/s²

Final step : Determine the steady force required by each rocket

Τ = I * ∝    ----- ( 1 )

where T = 4rF

Equation ( 1 ) becomes

4rF = I * ∝

∴ F = I*∝ / 4r

       = ( 44800 * 0.0112 ) / 4*4

      = 31.36 N .

Hence we can conclude that The steady force required of each rocket is = 31.36 N

learn more : https://brainly.com/question/19115861

Who found Uranus? Name?​

Answers

Answer:William Herschel found the seventh planet now known as uranus

<!> Brainliest is appreciated! <!>

Explanation:

Answer:

William Herschel

Explanation:

Which of the following statements are true (mark all that apply) primordial nucleosynthesis produced all of the elements heavier than helium chemical composition of our solar system matches the chemical composition of the Milky Way some of the stars in the Milky Way may be older than the Milky Way your body contains a lot of helium nearly all atoms of elements heavier then helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars some of the oldest galaxies are about 13.2 billion years old nucleosynthesis is a process through which the atoms of various elements are produced you're mainly made of hydrogen

Answers

Answer:

The correct options are;

1) The chemical composition of our solar system matches the chemical composition of the Milky Way

2) Nearly all atoms of elements heavier than helium were produced through nuclear fusion in stellar interiors and through reactions that occur during explosions that massive stars undergo at the ends of their lives or during mergers of stellar remnants called neutron stars

3) Some of the oldest galaxies are about 13.2 billion years old

4) Nucleosynthesis is a process through which the atoms of various elements are produced

5) You re mainly made of hydrogen

 

Explanation:

1) There are dependencies between chemical composition of stars and planets and the same distribution of chemicals we have in our Solar system have been observed to be present in varying resemblance through out the Milky Way

2) The formation of heavier elements are believed to have been formed by astrophysical fusion processes

3) The oldest known object (and hence the galaxy where the star resides), is from a distant star known as GRB 090423 which is about 13 billion years old

4) New atomic nuclear are created by the process of protons and neutrons by the process of nucleosynthesis

5) 62%of the atoms in the body are hydrogen atoms.

One of the key disadvantages of buying fitness equipment is __________. A. privacy B. flexibility C. maintenance D. choice Please select the best answer from the choices provided. A B C D

Answers

Answer:

C. maintenance

Explanation:

I personally believe one key disadvantages is the cost of maintaining the equipment unlike the gym where you have to subscribe for the month or the year and forget about anything, owning the gym equipment comes with the extra cost and responsibilities of maintenance to the owners.

Answer:

C

Explanation:

Edge 2020

An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are a. the change in its internal energy and b. its final temperature?

Answers

Answer:

a) [tex] \Delta U = 7.5 kJ [/tex]

b) [tex]T_{f} = 900 K [/tex]

Explanation:

a) To find the change in its internal energy (U) we need to use the following equation:

[tex] \Delta U = W + Q [/tex]

Where:

W: is the work done on the system

Q: is the energy transferred into the system by heat = 12.5 kJ

Since we have an isobaric expansion, the work is:

[tex] W = - P\Delta V = - P(V_{f} - V_{i}) [/tex]

Where:

[tex]V_{f}[/tex]: is the final volume = 3.00 m³

[tex]V_{i}[/tex]: is the initial volume = 1.00 m³

P: is the pressure = 2.50 kPa

[tex] W = -P(V_{f} - V_{i}) = -2.5 \cdot 10^{3} Pa(3.00 m^{3} - 1.00 m^{3}) = -5.00 \cdot 10^{3} J [/tex]

Now, we can find the change in its internal energy:

[tex] \Delta U = W + Q = -5.00 \cdot 10^{3} J + 12.5 \cdot 10^{3} J = 7.5 \cdot 10^{3} J [/tex]

b) The final temperature can be found as follows:

[tex] \frac{V_{i}}{V_{f}} = \frac{T_{i}}{T_{f}} [/tex]

[tex] T_{f} = \frac{T_{i}*V_{f}}{V_{i}} = \frac{300 K*3.00 m^{3}}{1.00 m^{3}} = 900 K [/tex]

Hence, the final temperature is 900 K.

I hope it helps you!

an Empty airplane has a mass of 30400 kg and a takeoff acceleration of 1.20 metre per second square what is the net force accelerating the plane​

Answers

Answer:

Net force will be 36,480 N

Explanation:

As force equation is F=ma, here F =force in newton, m, mass in kg, a =acceleration in metre per second.

so F = 30400 kg * 1.20 metre per second

which will be F= 36480 Newtons

F=36480 N

write examples of adaptation in mangrove .?
what are the adaptation of rainforest.?​

Answers

Answer:

example of adaptation in mangrove

Mangroves are salt-tolerant trees, also called halophytes, and are adapted to life in harsh coastal conditions. They contain a complex salt filtration system and complex root system to cope with salt water immersion and wave action. They are adapted to the low oxygen conditions of waterlogged mud.

adaptation of rainforest

Many animals have adapted to the unique conditions of the tropical rainforests.

hope this can help you

why do we generally hear a thunder when there is a Bolt of lightning


Please answer me fast

Answers

Answer:

Explanation:

When a lightning bolt travels from the cloud to the ground it actually opens up a little hole in the air, called a channel. Once then light is gone the air collapses back in and creates a sound wave that we hear as thunder. The reason we see lightning before we hear thunder is because light travels faster than sound!

Answer:

light travels faster than sound

Explanation:

Determine the following quantities for the circuits shown below:
(a) the equivalent resistance
(b) the total current from the power supply
(c) the current through each resistor
(d) the voltage drop across each resistor and
(e) the power dissipated in each resistor​.
WILL MARK AS BRAINLIEST!

Answers

Answer:

a) 588.235 ohm ( all the 3 resistors are in parallel )

b) 10 A

c) Current flowing -

in 20 ohm resistor = 6.25 A

in 100 ohm resistor = 1.25 A

in 50 ohm resistor = 2.5 A

d) Voltage drop across all the resistor = 125 V

(As all the resistors are in parallel all the resistors will have the same voltage drop )

e) Power dissipated -

in 20 ohm resistor = 781.25 W

in 100 ohm resistor = 156.25 W

in 50 ohm resistor = 312.5 W

(Power = Current × Potential Difference)

Two forces of magnitudes 8N and 15N act at a point,if the resultant force is 17N,the angle between forces is equal to:

Answers

The angle is 90degrees it is an orthogonal vector as the resultant vector = root of (8^2+15^2)

Answer:

The resultant of two vectors:

P

  and    

Q

​  

 is given by  

R=  

P  

2

+Q  

2

+2PQcosθ

​  

 

where, P and Q are magnitudes of two vectors and θ is the angle between two vectors.

Here θ=?  P=8N  Q=15N  R=17N

Therefore,

17=  

8  

2

+15  

2

+2×8×15cosθ

​  

 

289=64+225+240cosθ

289=289+240cosθ

289−289=240cosθ

cosθ=0

cosθ=cos90

θ=90  

0

Explanation:

Find vertical and horizontal displacement. Please help. 10 points. Thank you.

Answers

Explanation:

horizontal velocity = 30 x Cos45 = 19.48m/s

to find horizontal displacement

horizontal displacement = horizontal velocity x timehorizontal displacement = 19.48 x 2 = 38.96m

vertical velocity = 30 x Cos45 = 22.81m/s

vertical displacement = vertical velocity x time

vertical displacement = 22.81 x 2 = 45.62m

Answer:

Displacement after two seconds

= <Dx,Dy> = <42.426, 1.593> m to three decimal places

Explanation:

Given:

arrow shot at 30m/s and 45 degrees with horizontal.

Hit bull's eye after 2 seconds.

Find horizontal and vertical displacements.

Vx = 30cos(30) m/seconds  constant  velocity

therefore

Dx = Vx*t = 30cos(30) m/s *  2 s = 60 cos (45) = 42.426 m

Vy = 30 sin(45) m/s  

Dy = Vy*t + a(t^2) /2  

= 30*sin(45) -9.81(2^2)/2        (g is accelerating downwards, so negative)

= 1.593 m

The net displacement after 2 seconds is

D = <Dx,Dy> = <42.426, 1.593> m to three decimal places

difference between uniform velocity and variable velocity .​

Answers

Answer:

If a body covers equal displacement in equal interval of time,however small may be the body is said to have uniform velocity. If a body covers in equal displacement in equal interval of time is called variable velocity.

Where do comets come from in the Solar System? 2. Where are asteroids located within our Solar System? 3. How are meteors and meteorites different? 4. What are the different types of meteorites? 5. Define the terms comet, asteroid, and meteoroid.

Answers

Answer:

yes

Explanation:

Answer and Explanation: Comets are frozen extras from the development of the nearby planetary group made out of residue, rock and frosts. They range from a couple of miles to many miles wide, however as they circle nearer to the sun, they heat up and regurgitate gases and residue into a shining head that can be bigger than a planet. This material structures a tail that extends a huge number of miles.

What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to three significant figures.

Answers

25100J

For your question "What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant figures. "

Out of the options, the answer would be 25100J

Best of luck!

The kinetic energy of the roller coaster with a mass of 620kg which is moving with a velocity of 9.00 m/s is 25,100 Joules.

What is Kinetic energy?

Kinetic energy is the energy that an object has because of its motion. If we want to accelerate an object, then we must apply a force which results into change in velocity of that object. By applying a force it is required to do work. After work has been done on the object, energy has been transferred to the object, and the object will be moving with a new constant speed in a direction. It is a vector quantity as it has both the magnitude and direction. It can be calculated as:

KE = 1/2 × m × v²

where, KE = Kinetic energy,

m = mass of the object,

v = velocity of the object

KE = 1/2 × 620 × (9)²

KE = 310 × 81

KE = 25,110 Joules

Learn more about Kinetic energy here:

https://brainly.com/question/15764612

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write the chemical formulae for; nitrogen monoxide, hydrochloric acid, barium phosphate, ammonium hydroxide,nitric acid​

Answers

Answer:

Nitrogen Monoxide = NOHydrochloric Acid = HCLBarium Phosphate = (Ba) 3{(Po)4}Ammonium Hydroxide = (NH) 4(OH) Nitric Acid = H(NO)3

When Emma pushes a bag with a force of 27 newtons, the coefficient of kinetic friction between the bag and the floor is 0.23. What is the normal force acting on the bag by the floor? A. 0.085 newtons B. 27 newtons C. 2.7 × 102 newtons D. 1.2 × 102 newtons

Answers

Answer:

D. 1.2 × 102 newtons

Explanation:

The computation of the normal force acting on the bag is shown below:

It could find out by applying the following formula

Normal force =  Force ÷  coefficient of kinetic friction

where,

Force is 27 newtons

And, the  coefficient of kinetic friction is 0.23

Now placing these values to the above formula

So, the normal force is

= 27 newtons ÷ 0.23

= 117.39 N

Therefore the correct option is D.

WHAT IS PHYSICS? OUTLINE THE BRANCHES OF PHYSICS PHYSICS IS AN ESSENTIAL SUBJECT, WHY DO YOU STUDY IT?
i will give brainliest

Answers

Answer:

Explanation:

Physics is the natural science that studies matter, its motion and behaviour through space and time and the related entities of energy and force The braches of physics : classical mechanics thermodynamics and statistical mechanics electromagnetism and photons relativistic mechanics quantum mechanics, atomic physics and molecular physics optics condensed matter physics high-energy particle physics and nuclear physics We must study physics to understand how universe works

Wings of a bird what kind of motion is it

Answers

Answer:

linear motion

Explanation:

the birds in the sky show oscillatory motion when they flap their wings

I will give Brainliest to whoever can answer!!!!
If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern?

Answers

Answer:

The nodes and anti nodes would reverse roles.

Explanation:

I believe it has to do with the path differences. If waves are in phase, then the path differences are such that the waves reach the screen with crests superimposing crests and troughs superimposing troughs. This happens when the periods of each wave are equal or the paths themselves differ by a whole number multiple of the wavelength (λ, 2λ, 3λ, ...).

Now make these waves out of phase. Then half of the waves will travel half a wavelength farther than the rest. So the path difference will be 0.5λ, 1.5λ, 2.5λ, ....

What are some of the major differences between the ancient Olympics and modern-day Olympics? List and describe at least two differences.

Answers

Answer:

-Women are now allowed to participate in the Olympics unlike before when it was only men allowed.

-Modern Olympic Games include many more events. There are more than 20 different sports and almost 300 events in the modern games, while the first Olympics only had running.

-The Olympics are held every two years. While the ancient Olympics were originally held every four years.

-Athletes from countries around the world participate in the modern Olympics unlike in the ancient Olympics where only athletes from ancient Greece competed.

Explanation:

Edmentum Plato answer (i already reworded most of it so you don't have to) <33

A physicist is designing a cyclotron to accelerate protons to one-tenth the speed of light. The magnetic field will have a strength of 1.6 T. (a) Determine the rotational period (in s) of the circulating protons. s (b) Determine the maximum radius (in m) of the protons' orbit

Answers

Answer:

(a)     T = 4.09*10^-8 s

(b)     r = 0.19m

Explanation:

(a) In order to determine the rotational period of the protons, you first calculate the angular speed of the proton. You use the following formula for the radius of the trajectory described by the electron in a region with a constant magnetic field:

[tex]r=\frac{mv}{qB}[/tex]               (1)

m: mass of the proton = 1.67*10^-27 kg

q: charge of the proton = 1.6*10⁻19C

B: magnitude of the magnetic field = 1.6T

v: speed of the proton = 0.1c = 0.1(3*10^8m/s) = 3*10^7m/s

The angular speed of the proton is v/r, then, you solve for w in the equation (1) and replace the values of the parameters:

[tex]\omega=\frac{v}{r}=\frac{qB}{m}\\\\\omega=\frac{(1.6*10^{-19}C)(1.6T)}{1.67*10^{-27}kg}=1.53*10^8\frac{rad}{s}[/tex]

The rotational period T is:

[tex]T=\frac{2\pi}{1.53*10^8rad/s}=4.09*10^{-8}s[/tex]

(b) The radius of the protons' orbit is calculated by using the equation (1):

[tex]r=\frac{(1.67*10^{-27}kg)(3*10^7m/s)}{(1.6*10^{-19}C)(1.6T)}\\\\r=0.19m[/tex]

The radius of the protons' orbit is 0.19m

A machine is 40 % efficient. The total energy supplied to the machine is 4 kJ. Calculate how much useful energy can be transferred.

Answers

Answer:

1.6 kJ

Explanation:

0.40 (4 kJ) = 1.6 kJ

When electrical energy is used what type of energy is also produced and considered to be waste energy?

Answers

Answer:

electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy

Answer:

electrical energy is energy derived from electric potential energy or kinetic energy. when loosely electrical energy refers to energy that has been converted from electric potential energy

Explanation:

Which type of wave tables faster through solids than it does through gases

A- electromagnet waves
B- reverse waves
C- longitudinal waves
D- periodic waves

Answers

Answer:peroidic waves

Explanation:

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