A 2.0 kg pellet is placed in the barrel of a toy gun and is propelled by a spring of force constant 50 N/m. The spring is compressed 2m and then released. Calculate the maximum velocity of the pellet when shot horizontally. *

Answers

Answer 1

Answer:

10 m/s

Explanation:

Applying,

Kentic energy of the pelllet = Spring elestic energy

1/2(mv²) = 1/2ke²

mv² = ke²...................... Equation 1

Where m = mass of the pellet, v = velocity of the pellet, k = force constant of the spring, e = extension of the spring

make v the subject of the equation

v = √(ke²/m)................. Equation 2

From the question,

Given: k = 50 N/m, e = 2 m, m = 2.0 kg

Substitute these values into equation 2

v = √(50×2²/2)

v = √(50×2)

v = √(100)

v = 10 m/s


Related Questions

Suppose you are helping a friend move. The friend asks you stand in the back of a pickup truck to hold a piano because there is no rope available to tie it down. Explain why you should refuse this request.

Answers

Explanation:

This exposes the individual to danger. Remember, the Newton Law of motion which says that an object under the state of rest will remain in that state (inertia) unless when acted upon by an external force.

In this scenario, standing at the back of the pickup truck presents danger especially if the truck suddenly stops; this individual would experience an upward thrust due to inertia that may disbalance him.

Highway safety engineers want to design roadside barriers that will crumple
in the event that a car drives off the road and collides with them, slowing
down the car more gradually. The average person has a mass of 68 kg and
travels on a highway at a velocity of 27 m/s. If the engineers know that the
maximum force that a person can safely withstand is 2180 N, approximately
how much time is required to crumple the barrier to safely slow the person
with this force?

Answers

Answer:

[tex]0.84\:\text{s}[/tex]

Explanation:

The impulse-momentum theorem states that the impulse on an object ([tex]F\Delta t[/tex]) is equal to the change in momentum of that object ([tex]\Delta p[/tex]).

Set up the following equation:

[tex]F\Delta t=\Delta p[/tex]

Solving for change in momentum:

The momentum of an object is equal to [tex]p=mv[/tex], where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object. Since the person's final velocity will be zero, their final momentum will also be zero. Therefore, the person's change in momentum is [tex]68\cdot 27-0=1836\:\text{kgm/s}[/tex].

Solving for time:

[tex]2180\cdot\Delta t = 1836,\\\Delta t =\frac{1836}{2180},\\\Delta t =\boxed{0.84\:\text{s}}[/tex]

Answer:

If the engineers know that the

If the engineers know that themaximum force that a person can safely withstand is 2180 N, approximately, 0.84 second is required to crumple the barrier to safely slow the person

is required to crumple the barrier to safely slow the personwith this force.

Calcular la cantidad de solucion que se encuentra en un recipiente con 670 g de solvente y 22 g de soluto

Answers

Answer:

692 g

Explanation:

La fórmula para encontrar la solución de una mezcla química es agregar el soluto y el solvente juntos. Esto significa

Solución = solvente + soluto

Solución = 670 g + 22 g

Solución = 692 g

es así de simple, y espero que lo entiendas

factorise the following - 6x³ + 3x² + 8x + 4 ?​

Answers

p(1) = -16 x (1)³ + 3 x (1)² + 8 x 1 + 4

= -16 + 3 + 8 + 4

= -16 +16

=0

The application of a force that causes an object to move in the direction of the force is ______.

Power

Work

Kinetic energy

Distance

Answers

Answer:

work is the answer because work is said to be done if an object is displaced by the application of force

what is her mass pls help

Answers

Answer:

B

Explanation:

[tex] \bigstar[/tex] A uniform resistance wire is stretched till it's length becomes four times.What happens to the resistance ?

*Plagiarised / Irrelevant answers will be reported!​

Answers

Answer:

if a uniform resistance wire is stretched till it's length becomes four times the the resistance of wire multiples by sixteen times as resistance is directly proportional to the

length of wire.

hope it helps.

stay safe healthy and happy

Answer:

we have:

At unit length

Resistance [R]=[tex] \frac{pL}{A} [/tex].....i

where

p: resistivity

L:length

A:area

when

length is strength 4 times

length will be 4L

Now

new equation becomes

Resistance[R] =[tex] \frac{p4L}{A} [/tex]=4[tex] \frac{pL}{A} [/tex]=4R

so

when A uniform resistance wire is stretched till it's length becomes four times. the resistance increases by four times of its original resistance.

Two positive charges of same magnitude are separated by some distance if we bring a unit positive charge from one charge to another electric potential ?

Answers

Answer:

Increases.

Explanation:

The electric potential increases when the two positive charges of same magnitude bring close to one charge to another because there is repulsive force between them due to same charge and when the two opposite charges move away from each other, the potential energy decreases. When two opposite charges are brought closer together, electric potential energy decreases while on the other hand, when we move opposite charges apart from each other than the work done against the attractive force that leads to an increase in electric potential energy.

9) An object with a height of 18 cm is placed in front of a converging lens. The image has a
height of –9.0 cm.
a) What is the magnification of the lens?
b) If the focal length of the lens is 6.0 cm, how far in front of the lens is the object?
c) Where does the image appear?

Answers

Answer:

Explanation:

a) Magnification = image height / object height = -9 / 18 = -0.5

b) Magnification = - image distance / object distance = -0.5

so image distance = 0.5 object distance

1/focal length = 1/image distance + 1/object distance

1/6 = 1/(0.5 object distance) + 1/object distance

object distance = 18.0 cm

c) Image appears behind the lens.

Answer:

Explanation:

mag = ht i/ht o = -9/18 = -1/2

mag = -1/2 = -di/do

do = 2di

put in eqn

1/f = 1/di + 1/do

1/6 = 1/di + 1/2di

2di = 18

do = 18cm

image is behind lens

How to use electromagnetic spectrum in a sentence?

Answers

Answer:

The enemy can use his vision across a broadband of the electromagnetic spectrum . Our century has seen the entire electromagnetic spectrum opened for business.

Explanation:

could sum1 explain this for 17 points please?

Answers

Answer:

If the potential energy change of each cart is the same, then the total mechanical energy change is the same for each cart

Explanation:

Hills look steeper when standing back from the edge so that gaze is nearly parallel to the surface of the hill. When optical slant (the angle between the center of gaze and the surface) is small, surface orientation is pulled toward the direction of gaze

helpppppppppppp.......!

Answers

Explanation:

m = 66 kg

a = 2 m/s²

F = .....?

F = m . a

= 66 . 2

= 132 N

#CMIIW

Fill in the blank: Friction applies to all states of matter in the gas state it is called ________ resistance and in a liquid it's called ___________ resistance. Air resistance can be used to slow the fall of an object. Parachutes are usually made out of light, strong fabric, originally silk, now most commonly nylon. They are typically dome-shaped, but vary, with rectangles, inverted domes, and others found

Answers

Answer:

Drag; water.

Explanation:

Friction can be defined as a force that resists the relative motion of two objects when there surface comes in contact. Thus, it prevents two surface from easily sliding over or slipping across one another. Also, friction usually reduces the efficiency and mechanical advantage of machines but can be reduced through lubrication.

Generally, there are four (4) main types of friction and these includes;

I. Static friction.

II. Rolling friction.

III. Sliding friction.

IV. Fluid friction.

Fluid friction can be defined as a type of friction that acts on physical objects moving through a liquid or gas. A fluid refers to any physical substance that can flow and is able to take the shape of a container.

In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.

Basically, matter exists in three (3) distinct or classical phases and these are; solid, liquid and gas.

Generally, friction applies to all states of matter; in the gaseous state, it is called drag resistance and in a liquid it's called water resistance.

A 100 kg bungee jumper leaps from a bridge. The bungee cord has an un-streched equilibrium length of 10 m, and a spring constant of 35 N/m. What is the greatest vertical distance below the bridge surface that the bungee jumper will reach? Enter your answer as a positive number in meters, but do not enter units.

Answers

Answer:

11.78meters

Explanation:

Given data

Mass m = 100kg

Length of cord= 10m

Spring constant k= 35N/m

At the greatest vertical distance, the spring potential energy is equal to the gravitational potential energy

That is

Us=Ug

Us= 1/2kx^2

Ug= mgh

1/2kx^2= mgh

0.5*35*10^2= 100*9.81*h

0.5*35*100=981h

1750=981h

h= 1750/981

h= 1.78

Hence the bungee jumper will reach 1.78+10= 11.78meters below the surface of the bridge

Answer:

[tex]X=74.7[/tex]

Explanation:

From the question we are told that:

Mass [tex]m=100kg[/tex]

Length [tex]l=10m[/tex]

Spring constant [tex]\mu=35N/m[/tex]

Generally the equation for potential energy of mass is mathematically given by

 [tex]P.E_m=mgh[/tex]

Since

 [tex]P.E_m=P.E_s[/tex]

Where

 P.E_s =potential energy of spring

Therefore

[tex]m*g*(x+10) = 0.5*k*\mu^2[/tex]

[tex]100*9.8*(x+10) = 0.5*35*\mu^2[/tex]

[tex]980*(x+10) = 17.5*\mu^2[/tex]

[tex]980*x+9800 = 17.5*\mu^2[/tex]

 [tex]17.5*\mu^2 - 980*\mu - 9800 = 0[/tex]

Comparing the equation above with standard quadratic equation

 [tex]17.5*\mu^2 - 980*\mu - 9800 = 0[/tex]

 [tex]ax^2+bx+c=0[/tex]

Giving

  [tex]a=17.5\\ b=-980\\ c=-9800[/tex]

Solving Quadratic equation the roots of the equation is given as

 [tex]\mu_1=64.66[/tex]

 [tex]\mu_2=-8.661[/tex]

Since

[tex]\mu[/tex] can not be -ve

Therefore

The vertical distance attained by the bungee jumper is given as

 [tex]X=\mu+l[/tex]

 [tex]X=64.7+10[/tex]

 [tex]X=74.7[/tex]

PLEASE ANSWER THIS ASAP THIS IS A SCIENCE QUESTION NO LINKS

Answers

Answer:

I believe the answer would be kinetic energy to thermal energy.

Explanation:

Thermal energy is the heat of the brakes, and the kinetic energy would be when the car is in motion before stopping.

Yeah I also think its kinetic to thermal

Infrared technology can be used to do which of the following?
A. Locate tumors in the body
B. Monitor human activity at night
C. Photograph through solid objects
O D. Communicate across long distances

Answers

A aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaassaasssaaaaaaaa

Answer:

human activity at night

Explanation:

just did it

I really need help with this question

Answers

In 2007, what percentage of Manhattan residents supported Bloomberg's plan

what is 7/3 because it wont work for me pls help

Answers

Answer:

7/3 = 2 1/3

Explanation:

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. 7/3 = 2 1/3.

Answer:

2.3333 (3-repeating) hope that helps

All students except one are cheating on a test. The one student who is not cheating on the test is exhibiting abnormal behavior. Based on the information provided in the article, explain the conclusion of this scenario. Which definition for abnormal behavior would apply to this scenario? (Site 1)

Answers

Answer: See explanation

Explanation:

According to clinical psychology, an abnormal behavior is when an act results in a significant distress and is deviant from the normal practice.

In this case, while the whole class is cheating, one student isn't. This shows that the student is deviating from what every other person is doing. Since the student deviates from the norm, it's an abnormal behavior.

Answer:

The reason he might be exhibiting abnormal behavior is the fact that everyone except him is cheating on a test. He is the odd one out and due to this he might be anxious/nervous. Perhaps he thinks that since he is the only one not cheating that he might get a bad grade cause the teacher will assume he is cheating aswell. Another might be that he does not like being singled out. It's out of the norm and he does not particularly like it.

Explanation:


Take this and alter it to your liking. It got me a 100%!

007 (part 1 of 2) 1.0 points
Light moves from flint glass (n = 1.66) into
water at an angle of incidence of 27.2º.
a) What is the angle of refraction?
Answer in units of".
008 (part 2 of 2) 1.0 points
b) At what angle would the light have to be
incident to give an angle of refraction of 90.0°
Answer in units of

Answers

Answer:

a) The angle of refraction is approximately 34.7

b) The angle the light have to be incident to give an angle of refraction of 90° is approximately 53.42°

Explanation:

According to Snell's law, we have;

[tex]\dfrac{n_1}{n_2} = \dfrac{sin (\theta_2)}{sin (\theta_1)}[/tex]

The refractive index of the glass, n₁ = 1.66

The angle of incident of the light as it moves into water, θ₁ = 27.2°

a) The refractive index of water, n₂ = 1.333

Let θ₂ represent the angle of refraction of the light in water

By plugging in the values of the variables in Snell's Law equation gives;

[tex]\dfrac{1.66}{1.333} = \dfrac{sin (\theta_2)}{sin (27.2^{\circ})}[/tex]

[tex]sin (\theta_2) = sin (27.2^{\circ}) \times \dfrac{1.66}{1.333} \approx 0.5692292265[/tex]

θ₂ = arcsin(0.5692292265) ≈ 34.7°

The angle of refraction of the light in water, θ₂ ≈ 34.7°

b) When the angle of refraction, θ₂ = 90°, we have;

[tex]\dfrac{1.66}{1.333} = \dfrac{sin (90^{\circ})}{sin (\theta_1)}[/tex]

[tex]sin (\theta_1) = \dfrac{sin (90^{\circ})}{\left( \dfrac{1.66}{1.333}\right)} = sin (90^{\circ}) \times \dfrac{1.333}{1.66} \approx 0.803[/tex]

θ₁ ≈ arcsin(0.803) ≈ 53.42°

The angle of incident, θ₁, that would give an angle of refraction of 90° is θ₁ ≈ 53.42°

Do you think the mass of an object greatly affects the coefficient of friction?

Answers

Answer:

no it doesn't

Explanation:

Plisssss you can help me pliss

Answers

For the first one it’s the guh sound
And the second one it’s the kuh sound

The distance from Abdullah's house to his school is 2.4km. Abdulla takes 0.6h to go to school on his cycle but takes only 0.4h to return home. His average speed is

Answers

Answer:

The average speed can be calculated as the quotient between the distance travelled and the time needed to travel that distance.

To go to the school, he travels 2.4 km in 0.6 hours, then here the average speed is:

s = (2.4km)/(0.6 hours) = 4 km/h

To return to his home, he travels 2.4km again, this time in only 0.4 hours, then here the average speed is:

s' = (2.4 km)/(0.4 hours) = 6 km/h.

Now, if we want the total average speed (of going and returning) we have that the total distance traveled is two times the distance between his home and school, and the total time is 0.6 hours plus 0.4 hours, then the average speed is:

S = (2*2.4 km)/(0.6 hours + 0.4 hours)

S = (4.8km)/(1 h) = 4.8 km/h

Una persona ha de fer una força horitzontal de 400 N per arrossegar amb M.R.U. Un moble de 900 N. El moble es desplaça 5 m sobre el sòl, que és horitzontal. Calcula el treball realitzat per la força que exerceix la persona, per la força de fregament i pel pes del moble.

Answers

Answer:

Parte A

2000 J

Parte B

400 N

Parte C

900 N

Explanation:

Los parámetros dados son;

La fuerza horizontal con la que la persona arrastra los muebles = 400 N

El peso de los muebles = 900 N

La distancia que se mueve el mueble en el piso = 5 m

El tipo de movimiento del mueble = M.R.U. Movimiento de línea uniforme

Por lo tanto;

Parte A

Trabajo realizado = Fuerza × Dirección de movimiento de la fuerza

Por lo tanto;

Trabajo realizado en, W = 400 N × 5 m = 2000 J

Parte B

La fuerza horizontal aplicada para arrastrar el mueble = 400 N = La fuerza de fricción que actúa sobre el mueble

La fuerza de fricción que actúa sobre el mueble = 400 N

Parte C

El peso de los muebles se toma como dado 900 N.

Atoms in group 18 are inert (chemicalally unreactive) because

Answers

Answer:

They have a full shell of valence electrons and are very stable .

Explanation:

Answer

atoms in group 18 are chemically inert because they are stable and do not take part in any chemical reaction.

Explanation:

what is wheel and axle?​

Answers

Answer:

Wheel and axle consists of two coaxial cylinders of different diameters. Various examples of wheel and axle are used in our daily life. Some examples of such wheel and axles are string-roller, screwdriver, MADANI, ROTE PING, spanners, knobs of a door, steering of vehicles etc. Most of them are used for magnifying effort but some are also used to gain speed like MADANI and ROTE PING. In wheel and axles, usually effort is applied on big cylinder called wheel and is overcome bya small cylinder called axle.

Answer:

Explanation: The wheel and axle

a machine consisting of a wheel attached to a smaller axle so that these two parts rotate together in which a force is transferred from one to the other.

In order to determine the speed of an object, what measurements must be made?

Answers

Answer:

You need to have the distance traveled and the time it took to travel that distance.

Explanation:

Three resistors of equal resistance are connected in series as shown. Compared to the voltage provided by the battery, voltage across each of the resistors is .

Answers

Answer:

the voltage across each resistor is one third of the battery voltage

Explanation:

In a series circuit, the current is constant throughout the circuit, so the battery voltage is equal to the sum of the voltage drop in each part of the series circuit.

        V = i (R₁ + R₂ + R₃)

       

in the exercise indicate that all resistance has the same value

         R₀ = R₁ = R₂ = R₃

        V = i 3 R₀

        V = 3 V₀

         V₀ = i R₀

          V₀= V / 3

the voltage across each resistor is one third of the battery voltage

what is the answer to bliky got sticky yuh all over mickey

Answers

Answer:

huh

Explanation:

Answer:

whaaaaaaaa

Explanation:

What best describes an impulse acting on an object?
the net force on an object divided by the time of impact
the velocity of an object divided by its mass
the product of an object's mass and the time of force impact
the product of an object's mass and its change in velocity
it

Answers

the force on an object use Socratic glad to help ..

Answer:

D

Explanation:

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