A body of mass m1 = 1.5 kg moving along a directed axis in the positive sense with a velocity
of 11 ms-1 collides head-on with a body of mass m2 = 14 kg moving in the negative sense
with a velocity of 5 ms-1. If the velocity of m1 after the collision is 1 m s-1 in the negative
sense, Apply your scientific knowledge and understanding of collisions to solve the problem
and find the final velocity of m2.

Answers

Answer 1

Answer:

3.71 m/s in the negative direction

Explanation:

From collisions in momentum, we can establish the formula required here which is;

m1•u1 + m2•v2 = m1•v1 + m2•v2

Now, we are given;

m1 = 1.5 kg

m2 = 14 kg

u1 = 11 m/s

v1 = -1 m/s (negative due to the negative direction it is approaching)

u2 = -5 m/s (negative due to the negative direction it is moving)

Thus;

(1.5 × 11) + (14 × -5) = (1.5 × -1) + (14 × v2)

This gives;

16.5 - 70 = -1.5 + 14v2

Rearranging, we have;

16.5 + 1.5 - 70 = 14v2

-52 = 14v2

v2 = - 52/14

v2 = 3.71 m/s in the negative direction

Answer 2

The final velocity of the body 2 is 3.71 m/s in the negative sense.

The given parameters:

Mass of the body 1, m1 = 1.5 kgMass of the body 2, m2 = 14 kgInitial velocity of body 1, u1 = 11 m/sInitial velocity of the body 2, u2 = - 5m/sFinal velocity of body 1, v1 = -1 m/s

The final velocity of the body 2 is calculated by applying the principle of conservation of linear momentum;

[tex]m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\\\\1.5(11) + 14(-5) = 1.5(-1) + 14(v_2)\\\\-53.5 = -1.5+ 14v_2\\\\-52 = 14v_2\\\\v_2 = \frac{-52}{14} \\\\v_2 = -3.71 \ m/s[/tex]

Thus, the final velocity of the body 2 is 3.71 m/s in the negative sense.

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Related Questions

a dogs tail hit a 1.3kg flower vase, knocking it over. the net force on the flower vase over time is shown below

what is the bases speed at t=20 ms?
round answer to two significant figures

note that time is in ms.

Answers

Answer: 0.15 m/s

Explanation:

What is the definition of input force?

Answers

Answer:

The input force (effort) is the amount of effort used to push down on a rod, or pull on a rope in order to move the weight. In this example, the force the little guy is using to pull the elephant is the input force.

Explanation:

A room is 5.0 m long, 4.0 m wide, and 3.0 m high. What is the mass of the air it contains?​​

Answers

Answer:

Here u go

Explanation:

Mass of air in the room m= volume of room×density of air

=(5m×4m×3m)(1.20kgm3)=72kg

Weight of air, W=mg=(72kg)(9.8ms2)=706N.

Answer:

person above is correct, i did the work and got the smae answer

Solar energy heats the surface of the Earth, including the ground, rocks, and even roadways. As the temperature of these surfaces increases, heat energy is released back into the atmosphere, forming a pocket of warm air. As the warm air pocket rises, it is replaced by cooler air. This process is responsible for many of the weather patterns in our atmosphere and is known as

Answers

Answer:

convection

Explanation:

I hope this helps

You come out of a shopping mall one night and look at your car. Your car is painted blue, and the light illuminating the car is yellow. What color does your car appear to you in the yellow light?

Answers

I would say green because yellow and blue make green ??

HELP PLZZZ

Which optical devices can form images that are larger than the original
object?

Answers

Answer: B- A and C

Explanation:

A P E X

The optical devices uses light. The correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

What is optical device?

The device which uses light for the meaningful purpose is called optical devices.

The device which form the images larger than the object are the converging type of lens or mirror.

The lens which is converging is the convex lens denoted by C in diagram and the converging mirror is the concave mirror denoted by A.
Therefore, the correct option for the optical devices can form images that are larger than the original object is B i.e A and C.

Learn more about optical devices.

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Helppp please I’m have no time quick please

Answers

Answer:

I = 1.09 A

Explanation:

Here, 5 ohm and 12 ohm resistor are connected in parallel. Using the parallel combination of resistors as follows :

[tex]\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\\\\dfrac{1}{R}=\dfrac{1}{5}+\dfrac{1}{12}\\\\ R=3.52\ \Omega[/tex]

Now R and 2 ohm resistors are in series. Let the equivalent be [tex]R_{eq}[/tex]. So,

[tex]R_{eq}=3.52+2\\\\=5.52\ \Omega[/tex]

Let I be the current. Using Ohm's law,

V = IR

[tex]I=\dfrac{V}{R_{eq}}\\\\I=\dfrac{6}{5.52}\\\\I=1.086\ A[/tex]

or

I = 1.09 A

So, the correct option is (c).

Carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas. If Carlos exerts 2,000 N of force to pull the rope, and the rope is at an angle of 15° to the road, how much work did he do? Round your answer to two significant figures.
1.6 × 104 J
3.5 × 104 J
5.8 × 104 J
9.0 × 104 J

Answers

Answer:

Explanation:

Remark

The only thing that might trip you up is what to do with the angle. The vertical component of the 15 degrees does no work against anything. So the 15 degrees limits the horizontal force.

The formula is

Work = F * d * cos(15)

The givens are

F = 2000 N

d = 30 m

Cos(15) = 0.9659

Solution

Work = 2000 * 30 * cos(15)

Work = 57,955

Rounded to two places would be 5.8 * 10^4

C

Charges of +5C and −9C are at a distance of 1m from each other. Which diagram represents the force between the two charges?

Answers

Answer: Well the charges in 9c are positive so  5c is th force between the two making the ansewr

Explanation:

Answer:

C    (3RD OPTION)

Explanation:

E2020

determine the indication of voltmeter

Answers

Answer:

Hey mate.....

Explanation:

This is ur answer.....

A voltmeter is an instrument used for measuring electric potential difference between two points in an electric circuit. It is connected in parallel. It usually has a high resistance so that it takes negligible current from the circuit.

Hope it helps you,

mark me brainliest pls.....

Follow me! ;)

An object with a velocity of
1 m s-l accelerates with an
acceleration of 1 m s2.
What is its velocity after
moving 1 m?
A 1.4 ms s-1
B 1.7 m s -1
C) 2.0 m s-
D 3.0 m s-1
-1​

Answers

Answer:

v = 1.7 m/s

Explanation:

Given that,

Initial velocity of the object, u = 1 m/s

Acceleration of the object, a = 1 m/s²

We need to find the velocity of the object after moving 1 m. Let v be the velocity. Using third equation of kinematics to find it i.e.

[tex]v^2-u^2=2ad\\\\v^2=2ad+u^2\\\\v^2=2(1)(1)+1^2\\\\v=\sqrt3\\\\v=1.7\ m/s[/tex]

So, the final velocity of the object is 1.7 m/s.

How did the solar system begin? Please use complete sentences (will mark B !!!)
Please hurry I have a math test tmr :(

Answers

Answer:

about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula a spinning, swirling disk of material.

Explanation:

Find out about organisms that has been bred by humans. It could be a pet such as a dog. A farm animal such as chicken or a crop, such as corn.

Answers

Organisms that have been bred by humans. I don’t know which pet

Two speakers that are 15.0 mproduce in-phase sound waves of frequency 250.Hz in a roomwhere the speed of sound is 340. m/s. A woman starts out at the midpoint between the two speakers.a.What does she hear at the midpoint, constructive or destructive interference?b.She now walks slowly towards one of the speakers. How far from the center must she walk before she first hears the sound reach a minimum intensity?c.How far from the center must she walk before she first hears the sound at a maximum intensity?d.How far from the center must she walk before the second time she hears the sound at the minimum intensity?

Answers

Answer:

a. Constructive interference.

b. [tex]0.34\; \rm m[/tex].

c. [tex]0.68\; \rm m[/tex].

d. [tex]1.02\; \rm m[/tex].

Explanation:

Frequency of this sound wave: [tex]f = 250\; \rm Hz = 250\; \rm s^{-1}[/tex].

Speed of this sound wave: [tex]v = 340\; \rm m \cdot s^{-1}[/tex].

Calculate the wavelength of this sound wave:

[tex]\begin{aligned} \lambda &= \frac{v}{f} \\ &= \fraac{340\; \rm m \cdot s^{-1}}{250\; \rms^{-1}} \approx 1.36\; \rm m\end{aligned}[/tex].

Path difference refers to the absolute value of the difference between:

the distance between the first source (the first speaker) and the observer, andthe distance between the second source (the second speaker) and the observer.

When the observer in this question is on the line between the two speakers at [tex]d[/tex] meters from the midpoint, the corresponding path difference would be [tex]2\; d[/tex] meters. (Add [tex]d\![/tex] to the distance from the closer source, and subtract [tex]d\!\![/tex] from the distance from the other source.)

The question states that sound from the two speakers are in-phase. In other words, at every instant, the sound wave from the two speakers are at the same phase at the position of each speaker.

Because wave from the two sources are in-phase at the source:

Constructive interference happens when the path difference is an integer multiple of wavelength ([tex]k\, \lambda[/tex], where [tex]k[/tex] is an integer.) That includes: [tex]0[/tex], [tex]\lambda[/tex], [tex]2\, \lambda[/tex], etc.Destructive interference happens when the path difference is an one-half plus some integer multiple of wavelength ([tex](k + 1/2) \, \lambda[/tex], where [tex]k[/tex] is an integer.) That includes: [tex]\lambda / 2[/tex], [tex]3\, \lambda / 2[/tex], [tex]5\, \lambda / 2[/tex], etc.

Path difference is [tex]0[/tex] when the observer is at the midpoint. That would correspond to constructive interference.

The first destructive interference (minimum intensity) corresponds to a path difference of [tex]\lambda / 2[/tex]. Along the line, that would be observed at [tex](1/2) \cdot (\lambda / 2) = 0.34\; \rm m[/tex] from the midpoint.

The next constructive interference (maximum intensity) would be observed when path difference is [tex]\lambda[/tex]. Along the line, that would be observed at [tex](1/2)\cdot \lambda = 0.68\; \rm m[/tex] from the midpoint.

The second destructive interference (minimum intensity) would be observed when path difference is [tex](1 + (1/2))\, \lambda[/tex]. Along the line, that would be observed at [tex](1/2) \cdot ((3/2)\cdot \lambda) = 1.02\; \rm m[/tex] from the midpoint.

A pitcher requires about 3 seconds to throw a baseball if the ball leaves his hand with with a speed of 30 m/s what is its acceleration

Answers

Answer:

Explanation:

300m/s2

A rolling ball has 18 J of kinetic energy and is rolling 3 m/s. Find its mass.

Answers

If you did 3x18 this would equal 54

A worker drives a .500kg spike into a rail tie with a 2.50kg sledgehammer. The hammer hits the spike with a speed of 65.0 m/s. If one-third of the hammer's kenetic energy is converted to the internal energy of the hammer and spike, how much does the total internal energy increase?

Answers

Answer:

The increase internal energy is 1,760.41[tex]\overline 6[/tex] J

Explanation:

The given parameters of the worker, sledgehammer, and rail line are;

The mass of the spike driven into the rail, m₁ = 0.500 kg

The mass of the sledgehammer, m₂ = 2.50 kg

The speed of the sledgehammer, v = 65.0 m/s

The fraction of the hammers kinetic energy, KE, converted to the internal energy of the hammer and the spike, Δ[tex]E_{internal}[/tex] = 1/3 × KE

Therefore, we have;

The kinetic energy, KE, of the sledgehammer is given by KE = 1/2·m₂·v²

Where;

m₂ = The mass of the sledge hammer = 65.0 m/s

v = The velocity o the sledgehammer

∴ KE = 1/2 × 2.50 kg × (65.0 m/s)² = 5,281.25 J

Therefore;

The increase internal energy, Δ[tex]E_{internal}[/tex] = 1/3 × 5,281.25 J = 1760.41[tex]\overline 6[/tex] J

fast need answers
Find the amount of force if the body has pressure of 178 Pa on 18 mm²​

Answers

Answer:

Force = 3.204Newton

Explanation:

Given the following data;

Pressure = 178

Area = 18 mm² to meter = 18/1000 = 0.018 m²

To find the force;

Force = pressure * area

Force = 178 * 0.018

Force = 3.204 Newton.

For which angle of projection range of projectile is maximum
(a) 40°
(b) 35°
(e) 43°
(d) 48°

Answers

Answer:

the correct answer is e

Explanation:

In projectile launching, the range or distance on the x-axis is given by the expression

         R = [tex]\frac{v_o^2 \ sin 2 \theta }{g}[/tex]

where v₀ is the initial velocity θ the launch angle.

When analyzing this expression is maximum when the sine function is maximum

           sin 2 θ = 1

           2θ = sin⁻¹  1

          2 θ = 90

           θ = 90/2

           θ = 45º

reviewing the answers there are no correct ones since the maximum angle occurs for 45º

if we analyze with these angles we have

θ = 40

            sin 2θ = sin 2 40 = 0.98

θ = 35

             sin 2 35 = 0.939

θ = 43

             sin 2 43 = 0.998

θ = 48

             sin 2 48 = 0.994

if we take the written angles the range is maximum for 43º

therefore the correct answer is e

A medication given to treat ventricular
tachycardia and ventricular fibrillation

Answers

Answer:

Amiodarone

Explanation:

How does the mass of an object affect the outcome when an unbalanced force acts on it?
if you can, can you also simplify it into simple terms that are easier to understand?

Answers

Answer:

By Newton's second law, it reduces the magnitude of the acceleration, without changing its direction.

F = unbalanced force

m = mass

a = acceleration

a = F/m

Think of a technology or appliance that you use regularly. Identify the transfers and transformations of energy necessary to operate the technology. Explain your answer
PLZZ

Answers

Answer:

Energy conversion

Explanation:

We regularly use automobile which runs on the chemical energy of the fuels such as diesel and petrol, the chemical energy from the fuel would convert into the thermal energy which is used to drive the engine of the vehicle,further the thermal energy converted into the mechanical energy which is used to drive the prime mover of the automobile.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

We frequently utilize vehicles that operate on chemical energy from fuels like diesel and gasoline.

This chemical energy is transformed into thermal energy, which drives the engine of the vehicle, and then mechanical energy, which drives the prime mover of the vehicle.

Thus, we can say that the transfers and transformations of energy are necessary to operate the technology.

Learn more about thermal energy from here, refer to the link;

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what does "no reference to direction of motion mean"?

Answers

Explanation:

its means the quantity in question is a scalar quantity, has only magnitude but no direction, for example. speed,has no reference to direction of motion, since the speed of a body say 5 m/s( the direction of the body has not been stated) but the velocity of a body say 5m/s to the east has a reference to direction of the motion.

That's why velocity is different from speed

A guitar string vibrates 600 times in 2 seconds.
Find its frequency and time period.

Steps Required.​

Answers

frequency is equal to number of oscillations or vibrations upon time

therefore,

check picture

what are three assumptions of the kinetic molecular theory​

Answers

Kinetic molecular theory is based on the following postulates, or assumptions:
1. Gases are composed of a large number of particles that behave like hard, spherical objects in a state of constant, random motion.
2. These particles move in a straight line until they collide with another particle or the walls of the container.
3. These particles are much smaller than the distance between particles. Most of the volume of a gas is therefore empty space.

I need to know on the second one.
A. Negative
B.positive
C. Neither

IT WOULD MEAN A LOT IF U COULD HELP ME

Answers

Yeah I’m pretty sure the answer is positive

1.
Two children sit on a uniform seesaw such that a 400. N child is 2.0 m from the support. How
far from the center should the second child of weight 475 N sit in order to balance the system
if the support is at the center of the plank?

Answers

Answer:

The other child must sit the same meters as the N child so they an be balanced.

Explanation:

Which image shows an example of the strong nuclear force in action?

Answers

i think this is the incomplete page that you are showing but the answer is

:-

B

Three charges lie along the x-axis. One positive charge, q1 = 4.80*10^-18 C, is at x = 3.72 m, and another positive charge, q2 = 1.60*10^-19 C, is at the origin.
At what point on the x-axis must a negative charge, q3, be placed so that the resultant force on it is zero?

Answers

Answer:

The third charge needs to be placed at [tex]x \approx 0.57\; \rm m[/tex].

Explanation:

Both [tex]q_1[/tex] and [tex]q_2[/tex] would attract [tex]q_3[/tex].

These two electrostatic attractions need to balance one another. Hence, they need to be opposite to one another. Therefore, [tex]q_1[/tex] and [tex]q_2[/tex] need to be on opposite sides of [tex]q_3[/tex]. That is possible only if [tex]q_3 \![/tex] is on the line segment between [tex]q_1 \![/tex] and [tex]q_2 \![/tex].

Assume that [tex]q_3[/tex] is at [tex]x\; \rm m[/tex], where [tex]0 < x < 3.72[/tex] (in other words, [tex]q_3 \![/tex] is on the line segment between [tex]q_1[/tex] and [tex]q_2[/tex], and is [tex]x\; \rm m \![/tex] away from [tex]q_2 \![/tex].)

Let [tex]k[/tex] denote Coulomb's constant.

The magnitude of the electrostatic attraction between [tex]q_1[/tex] and [tex]q_3[/tex] would be:

[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}}[/tex].

Similarly, the magnitude of the electrostatic attraction between [tex]q_2[/tex] and [tex]q_3[/tex] would be:

[tex]\displaystyle \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].

The magnitudes of these two electrostatic attractions need to be equal to one another for the resultant electrostatic force on [tex]q_3[/tex] to be [tex]0[/tex]. Equate these two expressions and solve for [tex]x[/tex]:

[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}} = \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].

[tex]\displaystyle \frac{q_1}{(3.72 - x)^{2}} = \frac{q_2}{x^{2}}[/tex].

[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1}[/tex].

[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1} = \frac{1}{30}[/tex].

By the assumption that [tex](0 < x < 3.72)[/tex], it should be true that [tex](x > 0)[/tex] and [tex](3.72 - x > 0)[/tex]. Therefore, [tex]\displaystyle \frac{x}{(3.72 - x)} > 0[/tex].

Take the square root of both sides of the equation [tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{1}{30}[/tex].

[tex]\displaystyle \sqrt{\frac{x^2}{(3.72 - x)^{2}}} = \sqrt{\frac{1}{30}}[/tex].

[tex]\displaystyle \frac{x}{3.72 - x} = \frac{1}{\sqrt{30}}[/tex].

[tex]\sqrt{30}\, x = 3.72 - x[/tex].

Therefore:

[tex]\left(1 + \sqrt{30}\right)\, x = 3.72[/tex].

[tex]\displaystyle x = \frac{3.72}{1 + \sqrt{30}} \approx 0.57[/tex].

Hence, [tex]q_3[/tex] should be placed at [tex]x \approx 0.57\; \rm m[/tex].

Which of the following is an example of an electromagnetic wave ?

Answers

Answer:

Its a wave

Explanation:

THis is one

Answer: a light wave

Explanation: a pex

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