Assume the second cart moves in the negative direction. two carts with masses of 4.6 kg and 3.3 kg move toward each other on a frictionless track with speeds of 5.1 m/s and 4.9 m/s, respectively. the carts stick together after colliding head-on. find their final speed. answer in units of m/s.

Answers

Answer 1
The total momentum of the system (cart 1+ cart 2) is conserved after the collision. 
The initial momentum is
[tex]m_1 v_1 - m_2 v_2[/tex] (1)
where the negative sign in front of cart 2 momentum is due to the fact it goes in the opposite direction of cart 1.
The final momentum is
[tex](m_1 + m_2) v_f[/tex] (2)
because the two carts stick together, therefore their total mass is (m1+m2) moving at the new speed vf.

By requiring that (1) is equal to (2), we can solve to find the final speed vf:
[tex]m_1 v_1 - m_2 v_2 = (m_1 + m_2) v_f[/tex]
[tex]v_f = \frac{m_1 v_1 - m_2 v_2}{m_1+m_2}= \frac{(4.6 kg)(5.1 m/s)-(3.3 kg)(4.9 m/s)}{4.6 kg+3.3 kg} =0.9 m/s [/tex]
where the positive sign means the two carts are now going in the positive direction (i.e. the initial direction of cart 1)

Related Questions

Which type of foot PPE must you wear if electrical shock is ever a possibility with your job?

Answers

The appropriate PPE(personal protective equipment) to be worn for foot protection against electric shock is boots retrofitted with rubber soles. Rubber does not conduct electricity and so will safeguard against electric shocks.

Other personal protective equipment used in a lab or industry can include safety glasses, rubber gloves, protective clothing and masks and respirators. PPE goes hand in hand with personal behaviour, personal grooming and housekeeping.

A sprinter set a high school record in track and field, running 200.0 m in 20.6 s . what is the average speed of the sprinter in kilometers per hour?

Answers

Answer : The average speed of the sprinter is, 34.95 Km/hr

Solution :

Average velocity : It is defined as the distance traveled by the time taken.

Formula used for average velocity :

[tex]v_{av}=\frac{d}{t}[/tex]

where,

[tex]v_{av}[/tex] = average velocity

d = distance traveled = 200 m

t = time taken = 20.6 s

Now put all the given values in the above formula, we get the average velocity of the sprinter.

[tex]v_{av}=\frac{200m}{20.6s}\times \frac{3600}{1000}=34.95Km/hr[/tex]

conversion :

(1 Km = 1000m)

(1 hr = 3600 s)

Therefore, the average speed of the sprinter is, 34.95 Km/hr

The average speed of the sprinter in kilometers per hour is about 35.0 km/h

Further explanation

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

This problem is about Kinematics.

We will solve it in the following way

Given:

distance traveled = d = 200.0 m

time taken = t = 20.6 s

Unknown:

average speed = v = ?

Solution:

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{200}{20.6}[/tex]

[tex]v = \frac{1000}{103} ~ m/s[/tex]

Next we will change the units of this speed into km/h.

[tex]v = \frac{1000}{103} \times \frac{3600}{1000} ~ km/h[/tex]

[tex]v = \frac{3600}{103}~ km/h[/tex]

[tex]v \approx 35.0 ~ km/h[/tex]

Learn moreVelocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

The change in __________ is the amount of energy in a system that is available to do work.

Answers

The answer is free energy.
In fact, in thermodynamics, the free energy of a system is defined as the energy that can be converted to do work. Helmholtz definition of free energy, for instance, is:
[tex]A=U-TS[/tex]
where U is the internal energy, T the temperature and S is the entropy

When vehicles meet on a steep, narrow road, not wide enough for two vehicles, which vehicle must yield the right-of-way?
A. The vehicle going uphill
B. The vehicle going downhill
C. The vehicle going slower

Answers

When vehicles meet on a steep, narrow road which isnot wide enough for two vehicles, the vehicle going downhill must yield the right-of-way by backing up to a wider place or by stopping to leave sufficient space for the vehicle going uphill, except where it is more practical for the vehicle going uphill 

Answer: B. The vehicle going downhill

Explanation: The vehicle going huphill needs more force to move, while the vehicle moving downhill actually can be moved only by the gravity acceleration.

So when both cars meet, if the car going uphill loses momentum, the vehicle may not be capable to keep moving uphill after that, so is better that the car going downhill yields the right-of-way to the other car, that needs to preserve the momentum.

__________ constancy refers to the ability to understand that an object retains the same form even when viewed from a different angle.

A. Structural
B. Shape
C. Brightness
D. Color

Answers

Answer:

The answer is Shape

Explanation:

Shape Constancy is the tendency to perceive an object as having the same shape regardless of its orientation or the angle from which we view it. It is a term of Psychology. For example, the image of a dinner plate is elliptical, not circular, unless its surface is exactly at a right angle to our line of sight. But in the absence of all depth information, it is not possible to judge the true shape of any object.

Answer:

B. Shape

Explanation:

The grid in a triode is kept negatively charged to prevent… A. the variations in voltage from getting too large. B. the electrons from being attracted to the grid instead of the anode. C. electrons being repelled back to the cathode. D. electrons from escaping from the tube containing the triode.

Answers

Hello
The answer is b
Have a nice day

Answer:

B. the electrons from being attracted to the grid instead of the anode.

Explanation:

just because it is

A longitudinal wave lacks which of the following properties? a. speed. b. frequency. c. wavelength. d. amplitude. e. A longitudinal wave has all of the above.

Answers

HEY THERE:-D

The answer for this question is E. A longitudinal wave has all of the above.

Hope this helps you=:O

~ TRUE BOSS

The correct option is (e). A longitudinal wave has all of the properties like speed, frequency, wavelength & amplitude.

Longitudinal waves are characterized by their unique properties, which include speed (a), frequency (b), wavelength (c), and amplitude (d). Here's a brief explanation of each property:

a. Speed (a): This is the rate at which the wave propagates through a medium. It is typically measured in meters per second (m/s) and depends on the properties of the medium, such as its density and elasticity.

b. Frequency (b): This is the number of complete cycles of the wave that pass a given point per unit time. It is measured in hertz (Hz) and is related to the pitch or tone of a sound wave, which is a type of longitudinal wave.

c. Wavelength (c): This is the distance between two consecutive points in the wave that are in phase, such as two adjacent peaks or two adjacent troughs. It is usually denoted by the Greek letter lambda [tex]\lambda[/tex] and is related to the frequency and speed of the wave by the equation [tex]\( v = f \lambda \)[/tex], where v is the speed, f is the frequency, and [tex]\( \lambda \)[/tex] is the wavelength.

d. Amplitude (d): This is the maximum displacement of a point on the wave from its rest position. It determines the loudness or intensity of a sound wave and is related to the energy carried by the wave.

How does newton's first law of motion relate to galileo's concept of inertia?

Answers

This is because Newton refined Galileo's idea of inertia and created it as his first law of motion. Galileo stated that it was the propensity of things to resist changes in motion. Newton refined it by including: "Every thing continues in a condition of rest or uniform speed in a straight line except acted on by a nonzero net power".

The atmospheric temperature decreases when snow starts melting because the snow------------------------- from the atmosphere to melt.
A. releases thermal energy
B. absorbs thermal energy
C. releases temperature
D. absorbs temperature

Answers

It absorbs thermal energy therefore melting the snow
B because you know snow is cold but when our atmosphere gets hotter the snow absorbs the heat which causes it to melt

You have an electromagnet that is not quite strong enough. What are three changed you could make to increase the strength

Answers

... wind more turns of wire around the core;

... run more electric current through the wire (use a battery or power supply with more voltage)

... whatever is in the core of the electromagnet, replace it with something that's closer to pure iron.

Which of the following would be more likely to utilize capitalism-based land management methods?
a.
city planners
b.
federal regulators
c.
corporate directors
d.
all of the above

Answers

the correct answer is c. corporate directors I just took the test and federal regulators was wrong.


What are two ways you can increase the magnetic field of an electromagnetic?

Answers


1).  Wind more turns of wire in the coil around the core.

2).  Increase the electrical current flowing in the wire.
(You can do that by using a battery or power supply with a little more voltage.)

3).  If the core of the electromagnet is anything else but pure iron,
take it out, throw it away, and replace it with a core of pure iron.
Final answer:

To increase an electromagnet's magnetic field, add more turns to the coil and increase the current flowing through it. Inserting a ferromagnetic core can also enhance magnetic field strength, but limitations exist due to coil resistance and the properties of superconducting materials.

Explanation:

To increase the magnetic field of an electromagnet, you can perform the following modifications:

Increase the number of turns in the coil: Adding more turns to the solenoid will enhance the magnetic field as it is directly proportional to the number of turns in the wire.Increase the current: By increasing the electrical current flowing through the coil, the magnetic field will also increase due to the direct relationship between current and magnetic field strength.

Another method often used to enhance the strength of an electromagnet is by inserting a ferromagnetic material, such as iron, within the coil, which acts as a core to concentrate the magnetic field.

However, it is important to note that there are limits to the strength of the magnetic field that can be created. Exceeding certain thresholds can lead to an overheating problem due to coil resistance, or can destroy the superconducting properties if superconducting materials are used.

Which of the following statements is true?
A. Like charges attract and unlike charges repel each other.
B. Gravitational forces only exist between large masses.
C. On a level surface, normal force is greater than the weight of the object.
D. Applied forces are those created by another object or person.

Answers

the correct answer is c on a level surface normal force is greater then the weight of the object

Answer:

C.

Explanation:

I did this assignment

What would happen to the earth if it orbited further away from the sun than it does now?

Answers

the rotational analysis will change 
the climatic conditions will change 

For the lever shown, a = 5 m and b = 2 m. What is the mechanical advantage of the lever?

Answers

mechanical advantage of the lever is 2.5
  your answer would  be 2.5 

People living in the Amazon Rain Forest want to clear the forest of vegetation and create farmland so they can grow crops. How will clearing away vegetation affect soil erosion

Answers

When the vegetation is cleared, the loosened topsoil would be easily blown off and the soil would be eroded quicker. 

What is the wavelength (in air) of a 13.0 khz vlf radio wave?

Answers

Since,
Speed = Frequency * WaveLength

=> WaveLength = Speed / Frequency --- (A)

Frequency = 13.0 kHz.
As the radio waves are electromagnetic waves, their speed is equals to the speed of light. Therefore,
Speed = C = [tex]3 * 10^{8} m/ s^{2} [/tex]

Plug in the values in equation(A):

A => WaveLength = [tex] \frac{3 * 10^{8}}{13*10^{3}} [/tex]

Ans: Wavelength = 23.077 kilometers.
-i

Final answer:

The wavelength of a 13.0 kHz VLF radio wave in air is calculated using the formula λ = v / f, with the speed of light as the speed. This yields a wavelength of about 23,077 meters, or 23 kilometers, illustrating the long-distance propagation capabilities of VLF radio waves.

Explanation:

The question pertains to calculating the wavelength of a 13.0 kHz VLF (Very Low Frequency) radio wave in air. The formula that links the wavelength (λ), frequency (f), and speed (v) of a wave is λ = v / f. For electromagnetic waves in air, the speed can be approximated to the speed of light, which is roughly 3×108 meters per second (m/s).

Using this formula:λ = 3×108 m/s / 13,000 Hz = approximately 23,077 meters.

Therefore, the wavelength of a 13.0 kHz VLF radio wave in air is about 23 kilometers. This large wavelength is characteristic of VLF radio waves, allowing them to propagate over long distances and curve around the Earth's surface, making them useful for communication over the horizon without the need for satellite or cable transmission.

If a negatively charged particle moves into a magnetic field traveling in a straight line, how would you expect its motion to change? A) The particle would slow and stop moving. B) The particle would travel in a curved path. C) The particle would continue traveling in a straight line. D) The particle would make a right angle turn and then continue traveling in a straight line.

Answers

hello
the answer is a

Answer:

B) The particle would travel in a curved path.

Explanation:

I just took the test and this is the correct answer

The rope will snap if the tension in it exceeds 55.0 n. what is the maximum value of the force f which can be applied?

Answers

Missing part of the text:
"Two masses, m1 = 2.12 kg and m2 = 9.01 kg are on a horizontal frictionless surface and they are connected together with a rope as shown in the figure."
and missing figure (see attachment)

Solution:
We can write Newton's second law for the whole system m1-m2 and for m2 only (2 equations). Only one force (F) acts on the m1-m2 system, while if we consider m2 only we have two forces acting on it: F and T (tension), in the opposite direction. So, the two equations are
[tex]F=(m_1+m_2)a[/tex]
[tex]m_2 a=F-T[/tex]
where a is the acceleration of the system.

From the first equation we get
[tex]a= \frac{F}{m_1+m_2} [/tex]
and substituting it inside the second equation, we get
[tex] \frac{m_2}{m_1+m_2}F=F-T [/tex]
re-arranging, we get
[tex]F=T( \frac{m_1+m_2}{m_1} )[/tex] 

Using [tex]m_1=2.12 Kg[/tex], [tex]m_2=9.01 Kg[/tex], and using the maximum value of T that is allowed not to break the rope (T=55 N), we can find the maximum allowed value for F:
[tex]F=288.8 N[/tex]


If the radius of earth decreased, with no change in mass, what would happen to your weight

Answers

If the radius of earth decreased it's radius, with no change in mass, nothing would happen to your weight, though you would be much lighter, due to lack of gravity.

the reason the gravity on the moon is so much less then the gravity on earth, is because the moon is so much smaller then earth.
The smaller the planet, the less the gravity, the bigger the planet, the heavier you are, due to gravity, not due to your personal weight.

Answer:

weight would increase

Explanation:

The graph shows a marble rolling down a curve from position 1 to position 5. In which position is the potential energy of the marble greatest?

Answers

The answer would be position 1

The graph shows a marble rolling down a curve from position 1 to position 5. In position 1 the potential energy of the marble is greatest.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The expression for total mechanical energy is as follows

ME= PE+KE

Where ME is the mechanical energy

PE is the total potential energy

KE is the total kinetic energy

As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system. At the highest point of position 1, the potential energy of the marble ball would be greatest.

Learn more about mechanical energy from here

brainly.com/question/12319302

#SPJ2

Identify the temperature that is equivalent to 95°F. Use this formula to convert the temperature

Answers

The answer is 35 degrees Celsius. Hope I helped :) Please vote brainliest. 

The temperature that is equivalent to 95°F - 35° C

We can convert from Fahrenheit to Celsius using the formula:

=> [tex]C = \frac{5}{9} (f - 32)[/tex]

Celsius to Fahrenheit using the formula:

=> [tex]F= \frac{9}{5} C + 32[/tex]

where  

f  = represents degrees Fahrenheit and  

c  = represents degrees Celsius.

In our case,

f  =  95  and we want to find c then,

[tex]C = \frac{5}{9} (f - 32)[/tex]

[tex]C = \frac{5}{9} (95- 32)\\C = \frac{5}{9} (63)\\C = 7*5\\C = 35[/tex]

Thus, the correct answer is - 35° C

Learn more:

https://brainly.com/question/5121144

It takes 5.0 seconds for a wave with a wavelength of 2.5 m to travel past your location. What’s the period of the wave. What is the frequency of the wave and what’s the speed of the wave

Answers

(a) Period of the wave
The period of a wave is the time needed for a complete cycle of the wave to pass through a certain point.
So, if an entire cycle of the wave passes through the given location in 5.0 seconds, this means that the period is equal to 5.0 s: T=5.0 s.

(b) Frequency of the wave
The frequency of a wave is defined as
[tex]f= \frac{1}{T} [/tex]
since in our problem the period is [tex]T=5.0 s[/tex], the frequency is
[tex]f= \frac{1}{5.0 s}=0.2 Hz [/tex]

(c) Speed of the wave
The speed of a wave is given by the following relationship between frequency f and wavelength [tex]\lambda[/tex]:
[tex]v=f \lambda = (0.2 Hz)(2.5 m)=0.5 m/s[/tex]

Julio hit a baseball. What caused the ball to change direction at the time of impact?
a.the force of gravity
b.the speed of the ball
c.the force of his swing
d.the weight of the air

Answers

The answer is c. the force of his swing

At the time of the impact, there is a collision between two bodies moving in opposite directions. 

The force exerted on the ball causes the change of velocity.

Answer: The force of his swing

Explanation: When Julio hit the baseball, the ball changed the direction after the impact. The contact force exerted by the bat on the baseball when it swing caused the change in direction of the ball. The force exerted  in time t is causes change in momentum.

the force of gravity acts on the ball all the time. The speed of the ball is not a factor to change direction. The weight of the air exerts a drag on the ball which is also constant. Hence, only the force of swing caused the changed in the direction of the ball.

Two identical balls are thrown vertically upward. the second ball is thrown with an initial speed that is twice that of the first ball. how does the maximum height of the two balls compare? two identical balls are thrown vertically upward. the second ball is thrown with an initial speed that is twice that of the first ball. how does the maximum height of the two balls compare? the maximum height of the second ball is two times that of the first ball. the maximum heights of the two balls are equal. the maximum height of the second ball is four times that of the first ball. the maximum height of the second ball is 1.41 times that of the first ball. the maximum height of the second ball is eight times that of the first ball.

Answers

The motion of the ball on the vertical axis is an accelerated motion, with acceleration 
[tex]a=g=-9.81 m/s^2[/tex]
The following relationship holds for an uniformly accelerated motion:
[tex]2aS=v_f^2 - v_i^2[/tex]
where S is the distance covered, vf the final velocity and vi the initial velocity.

If we take the moment the ball reaches the maximum height (let's call this height h), then at this point of the motion the vertical velocity is zero:
[tex]v_f =0[/tex]
So we can rewrite the equation as
[tex]2(-9.81 m/s^2) h=-v_i^2[/tex]
from which we can isolate h
[tex]h= \frac{v_i^2}{19.62} [/tex] (1)

Now let's assume that [tex]v_i[/tex] is the initial velocity of the first ball. The second ball has an initial velocity that is twice the one of the first ball: [tex]2v_i[/tex]. So the maximum height of the second ball is
[tex]h= \frac{(2v_i)^2}{19.62}= \frac{4v_i^2}{19.62} [/tex] (2)

Which is 4 times the height we found in (1). Therefore, the maximum height of ball 2 is 4 times the maximum height of ball 1.

Read the sentence. telescopes or satellites _____ that neither mercury nor venus _____ a moon. which pair of verb forms correctly completes the sentence? proves; has proves; have prove; have prove; has

Answers

I believe it is prove;has

Telescopes or satellites prove that neither Mercury nor Venus has a moon.

When there is or in-between two words, the tense is dependent upon the word that comes after or. In other words, the word that is closest to the verb will decide the form of the verb.

Since satellites is a plural form of a satellite, the verb that follows satellites should also be plural. The plural verb in the given options is prove.

As far as the second blank is concerned, you can see Venus is a proper noun; therefore, the verb that comes after Venus should be a singular verb, which in this case is has.

So the complete sentence would become the following:

Telescopes and satellites prove that neither Mercury nor Venus has a moon.

Correct pair: prove:has

What besides mass and gravity , what other factor affects gravitational potential energy?

Answers

The distance or space separating the 2 objects also greatly affects the gravitational potential or force experienced on one object on the other.

This can be seen as per the equation for gravitational forces.

What important discovery was made by edmond halley and alexis clairaut, using newton's ideas of mathematics and gravity?

Answers

They were able to find the orbit of a comet and predict the year of its return.

Answer:

Comet's orbit.

Explanation:

Edmond Halley and Alexis Clairaut were one of those Newtonian who helped to validate the results of Isaac Newton.

They correctly explained Comet' motion and how planets gravitational force affect them.

But using Newton's idea of Mathematics and Gravity, they have made two important discoveries:

1. Why celestial bodies have different colors.

2. They were able to find the Comet's orbit and prediction(year) of its return.

Describe the energy transformations that occur from the time a skydiver jumps out of a plane until landing on the ground.

Answers

I think, the skydiver has maximum potential energy before jumping. However, as the skydiver jumps and decreases in height, he increases the velocity. Thus, as soon as the skydiver has jumped he is experiencing kinetic energy. The velocity of the skydiver increases as he moves down wards due to gravitational acceleration until he attains terminal velocity. 
Sample Response: Before jumping from the plane, the skydiver has potential energy. When the skydiver jumps, the potential energy is transformed into kinetic energy, which increases until the skydiver reaches terminal velocity. Potential energy is then transformed into thermal energy.

What feature of double-glazed windows makes them good insulators? a. Thick glass is highly viscous. c. Heat conduction cannot take place through solid glass b. There is a vacuum between the panes of glass d. Thermal energy is not transferred through the special chemical glazing.

Answers

none  of the above.
The air gap between the panes adds some thermal   insulation.
About 1/2"  is best.  Less than that  you  get     conduction.  More than that you get more convection between panes.   Double glazed windows do not usually have a vacuum in them --   there could be argon  tho...  
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