The final speed of the 3.0 kg cart is 4 m/s.
What is conservation of momentum principle?When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.
The external force is not acting here, so the initial momentum is equal to the final momentum. For elastic collision, final velocities is different for both the bodies.
m₁u₁ +m₂u₂ = m₁v₁ +m₂v₂
A 2.0 kg cart moving right at 5.0 m/s on a frictionless track collides with a 3.0 kg cart initially at rest. The 2.0 kg cart has a final speed of 1.0 m/s to the left.
Substitute the values for m₁ = 2kg, m₂ =3kg, u₁ =5 m/s and u₂ =0 m/s, then the final velocity will be
3x0 +2x5 = -2x1 + 3v₂
v₂ = 4 m/s
Thus, the the final velocity 3.0 kg cart is 4 m/s.
Learn more about conservation of momentum principle.
https://brainly.com/question/14033058
#SPJ2
State one similarity between rotatory and circular motion
Answer:
The main difference between these types of motion is that circular motion is a special case of rotational motion, where the distance between the body’s centre of mass and the axis of rotation remains fixed.
Rotational motion is based around the idea of rotation of a body about its center of mass. In rotational motion, the axis of rotation and centre of mass could change whereas in circular motion, the axis of rotation and centre of mass does not change.
Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path and can either have a constant angular rotation rate and constant speed, or it can exist with a changing rate of rotation.
Think of one of those fairground rides where people sit on dummy horses. Now imagine the horses spin around the post that holds them to the base of the ride. Then you have both rotational motion of the horse and circular motion as the horses move around the ride.
A spring has 100 J of EPE when it is stretched 2 m. What is the spring constant?
A. 100 N/m
B. 50 N/m
C. 200 N/m
D. 150 N/m
Answer:
B: 50 N/m
Explanation:
Hopes it help.
The spring constant of the spring is 50 N/m. The correct option is B.
What is spring potential energy?When the spring is compressed, it gets compressed up to its elastic limit. When load is removed from the spring, it regains its shape and obtains equilibrium position. The energy stored in this process is called as spring potential energy.
Given a spring has 100 J of EPE when it is stretched 2 m. The energy stored in the spring is given by
SPE = ½ kx²
100 = ½ k (2 m)²
k = 50 N/m
So, spring constant of the spring is 50 N/m.
Thus, the correct option is B.
Learn more about spring potential energy.
https://brainly.com/question/12528339
#SPJ2
How much work is done by 0.070 m3 of gas, when the volume remains constant with pressure of 63 x 105 Pa?
Answer:
W = 0 J
Explanation:
The amount of work done by gas at constant pressure is given by the following formula:
[tex]W = P\Delta V[/tex]
where,
W = Work done by the gas
P = Pressure of the gas
ΔV = Change in the volume of the gas
Since the volume of the gas is constant. Therefore, there is no change in the volume of the gas:
[tex]W = P(0\ m^3)\\[/tex]
W = 0 J
All of the following are bases except
answers:
A. NaOH
B. Al(OH)3
C. HBr
D. Ca(OH)2
Answer:
(C) HBr is an acid .......
PLS HELP ME ANSWER THESE 2 QUESTIONS lol
Answer:
a) Yes, this is kinda the best way to split the teams.
b) Force (or acceleration, these are proportional)
Explanation:
For both questions, we should start with the second Newton's law.
This law can be written as:
F = m*a
force equals mass times acceleration.
a) For the case of the rope, the ideal situation is having almost the same mass in both ends of the rope, in this way, the relation between force and acceleration in each end will be equivalent. (while one could argue that 3 smaller people will actually have a larger mass than the two bigger ones) but yes, this way is a good way to split the teams, so the mass is as even as possible.
b) Acceleration is defined as the rate of change of the velocity.
Again, by the above equation:
F = m*a
We need to have a force if we want to have acceleration.
Then, if an object has constant velocity (if the object is at a full stop, then it has a constant velocity of 0 m/s) we need to apply a force to this object if we want to change its motion.
Similarly, if an object is accelerating, we can apply a force to the object in order to cancel that acceleration (if the net force applied in the object is zero, then the acceleration is zero)
So here we can conclude that a force is what causes an object to change its motion.
Most consumers first spend their disposable income on what
Answer:
They first spend it on necessities.
can someone help with the blank questions please?
Quentin is playing baseball and is batting. He swings and hits the ball sending it flying to the outfield. Which is greater- the force of the ball on the bat or the force of the bat on the ball ?
Answer:
The force of the ball on the bat is same as the force of the bat on the ball.
Explanation:
A bat hits the ball and the ball moves to the out filed.
According to the Newton's third law, for every action there is an equal and opposite reaction.
The action and the reaction forces acts on the two different bodies but the magnitude of the force is same.
As the ball is hitted by the bat, the bat exerts the force on the ball and the same force is exerted on the bat by the ball according to the Newton's third law.
So, the force of the ball on the bat is same as the force of the bat on the ball but the direction of force is opposite.
Which equation is true of an atom with no elctrical charge
A. Number of nutrons = number of protons
B. Number of electrons = number of neutrons
C. Number of neutrons = number of protons + number of electrons
D. Number of electrons = number of protons
Answer:
Atoms are composed of electrons (charge -1), protons (charge +1), and neutrons (no charge). So in a neutral atom the correct answer is "D".
Electromagnetic waves are made by vibrating electric charges and can travel through what
Answer:
vibrates, and they carry energy from one place to another. Look at the sound wave and the water wave. vibrating electric charges and can travel through space where matter is not present. to particle, electromagnetic waves travel by transferring energy between vibrating electric and magnetic fields.
Looking at the two motion graphs, in which direction is the object moving faster?
A)
In the x-direction.
B)
In the y-direction.
The object is moving the same speed in each direction.
1
D)
The objec starts moving faster in the y-direction, but finishes moving
faster in the x-direction.
Ε
The answer is A) In the X-direction.
This is the case because, when you are asked about speed on a motion graph, the steeper the line gets, the faster it is going. In the first motion graph "Distance vs Time (X-direction)" the line is getting steeper, so that means it is going faster than the line depicted on the second graph.
The Kentucky Derby is a 1¼ mile race. Mandaloun ran it in 1.52 minutes. Hot Rod Charlie ran at a speed of .79 miles per minute. Who won the race?
Answer:
Mandaloun won the race.
Explanation:
First, we will calculate the time taken by the Hot Rod Charlie:
[tex]s = vt\\t = \frac{s}{v}[/tex]
where,
t = time taken by Hot Rod Charlie = ?
s = distance covered = 1.25 miles
v = speed of Hot Rod Charlie = 0.79 miles/min
Therefore,
[tex]t = \frac{1.25\ miles}{0.79\ miles/min} \\t = 1.58 min[/tex]
Since Hot Rod Charlie took more time (1.58 min) than the Mandaloun (1.52 min).
Therefore Mandaloun won the race.
Which organs are involved in the process of delivering the digestive juices for the intestines?
Stomach
Esophagus
Gall Bladder
Liver
Pancreas
Answer:
The Liver, Pancreas and Gall Bladder are involved in the process of delivering the digestive juices for the Intestines
Explanation:
A girl of mass 30.0 kg is on a roundabout of radius 5.0 m that makes one complete turn every 5.0 seconds.
What is the centripetal force acting on her?
Answer:
7
Explanation:
A.149 kg baseball moving at 17.7 m/s is caught by a 57 kg catcher at rest on an ice skating rink, wearing
frictionless skates. With what speed does the catcher slide on the ice?
Do NOT put in units or it will be marked wrong! The answer's value only! Please round each answer to 3 places.
MaVa + MbVb = (Ma+b)(Va+b)
Answer:
v = 12.8 m/s
Explanation:
Applying the law of conservation of energy:
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
where,
m₁ = mass of baseball = 149 kg
m₂ = mass of catcher = 57 kg
u₁ = initial speed of ball = 17.7 m/s
u₂ = initial speed of catcher = 0 m/s
v₁ = v₂ = v = final speed of ball and the final speed of catcher = ?
both are same because ball is in hands of cathcer in the final state.
Therefore,
[tex](149\ kg)(17.7\ m/s)+(57\ kg)(0\ m/s)=(149\ kg)(v)+(57\ kg)(v)\\\\v = \frac{2637.3\ kgm/s}{206\ kg}[/tex]
v = 12.8 m/s
What formula oan be used to determine the velocity of an object in free fall?
Answer:
A
Explanation:
What is a Weather Front. in your own words but be more detailed about what you say.
Explanation:
A weather front is a boundary separating air masses of several characteristics eg. Air density, wind and humidity. Disturbed weather often arises from these differences
Any help would be great! Thank you x
Giving brainliest answer xoxo
Answer:
A vacuum would have been created. I hope this helps have a great day
A circuit has an overall resistance of 40 ohms and a current of 200mA.
What is the potential difference in this circuit?
Answer:
Hey!
_________________
Voltage (V) = 0.8V
Current (I) = 200 mA = 200/10^3 = 2/10
Resistance = ?
Resistance = Voltage / Current
Voltage = Current × Resistance
0.8 = 2/10 × Resistance
0.8×10/2 = Resistance
8/2 = Resistance
Resistance = 4 ohm
_________________
Hope it helps...!!!
Explanation:
If a plane traveling down a runway at 75 m/s accelerates at a rate of 8 m/s’over
40 seconds, then what is its final velocity?
Answer:
395 m/s
Explanation:
Initial velocity (u) = 75 m/sAcceleration (a) = 8 m/s²Time taken (t) = 40 secondsBy using the first equation of motion,
❖ v = u + atv denotes final velocityu denotes initial velocitya denotes accelerationt denotes time→ v = 75 + 8(40)
→ v = 75 + 320
→ v = 395
→ Final velocity = 395 m/sModel A: Two sponge balls representing two atoms are soaked in water. You hold one ball, and your friend holds the other. Then you press the two balls together. As you press them together, water leaks out. What type of reaction does this model represent?
:) thnx, please don't just answer for points
Answer:
The type of reaction represented by the model is an;
Exothermic reaction
Explanation:
Exothermic reaction reaction is a reaction that involves the giving off of excess energy as heat and or light by two or more reactants during a chemical reaction due to the higher combined energy of the reactants compared with the product
The analogy are;
The sponge balls are the reacting atoms
The water is the energy which they contain
The water given off is the excess energy which the compound formed by putting together the two soaked sponge balls is unable to hold.
Calculate the work done by a 4.2 N force pushing a 450. g sandwich across a table 0.8 m wide.
Answer:
3.36 Joules
Explanation:
Work done= Force × distance
F=4.2 N
distance= 0.8 m
work done= 4.2 × 0.8
work done= 3.36 Joules
How can light be both a wave and a particle? What does that mean?
Answer:
Explanation:
Quantum mechanics tells us that light can behave simultaneously as a particle or a wave. However, there has never been an experiment able to capture both natures of light at the same time; the closest we have come is seeing either wave or particle, but always at different times.When UV light hits a metal surface, it causes an emission of electrons. Albert Einstein explained this "photoelectric" effect by proposing that light – thought to only be a wave – is also a stream of particles
Why is light considered a wave and a particle?
Light behaves mainly like a wave but it can also be considered to consist of tiny packages of energy called photons. Photons carry a fixed amount of energy but have no mass. They also found that increasing the intensity of light increased the number of electrons ejected, but not their speed
What is the best description of the destructive interference of light?
The crest of one wave overlaps with the trough of another.
A mechanical wave meets an electromagnetic wave.
A longitudinal wave meets a transverse light wave.
The crests of two waves intersect.
Destructive interference occurs when the maxima of two waves are 180 degrees out of phase: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave.
Answer:
The crest of one wave overlaps the trough of another.
Answer:
The crest of one wave overlaps with the trough of another.
(b) With a current of 0.38 A, the average velocity of an electron in the wire is 5.5 10-6 m s-1 and the average magnetic force on one electron is 1.4 10-25 N. Calculate the flux density B of the magnetic field.
Answer:
B = 0.159 T
Explanation:
Given that,
Current, I = 0.38 A
The average velocity of the electron, [tex]v=5.5\times 10^{-6}\ m/s[/tex]
The average magnetic force on the electron, [tex]F=1.4\times 10^{-25}\ N[/tex]
We need to find the flux density B of the magnetic field. We know that the magnetic force is given by :
[tex]F=qvB\\\\B=\dfrac{F}{qv}[/tex]
Put all the values,
[tex]B=\dfrac{1.4\times 10^{-25}}{1.6\times 10^{-19}\times 5.5\times 10^{-6}}\\\\B=0.159\ T[/tex]
So, the required flux density of the magnetic field is 0.159 T.
Two identical sounds are played from two laptops sitting
next to each other on a table. Both sounds have the same
pitch but one is quiet than the other. Which of the
following is most likely the difference between the two
sound waves produced by the laptops?
Amplitude
O Wavelength
O Frequency
Wave Speed
Ouestion 9
1te
Answer:
Amplitude
Explanation:
The lower the amplitude, the lower the frequency.
Light travels through water at 2.2506 x 108 m/s. A person shines a light at a friend that is underwater. If the ray in the water makes an angle of 38° with the normal, what is the angle of incidence?
please find your answer in the attached image, than you for 48 points.
The ray in the water makes an angle of 38° with the normal, so the angle of incidence is 55°.
What is Angle of Incidence?The angle of incidence is defined as the angle between a ray incident on a surface and the line which is perpendicular to the surface at the point of incidence called the normal. The beam can be created by any wave, such as optical, acoustic, microwave and X-ray.
Angle of incidence can be find out by Snell's Law. For the above given information,
Speed of light in water, v = [tex]2.2506 * 10^8 m/s[/tex]
Speed of light in vacuum, c= [tex]3* 10^8 m/s[/tex]
Refractive index (µ)= c/ v
So, Refractive index = [tex]3 * 10^8 / 2.2506* 10^8[/tex] = 1.33
Using Snell's Law,
µ of air * sin θ = µ of water * sin 38°
1 * sin θ = 1.33 * 0.61
sin θ = 0.811
θ = 55°
Thus, the ray in the water makes an angle of 38° with the normal, so the angle of incidence is 55°.
Learn more about Angle of incidence, here:
https://brainly.com/question/30048990
#SPJ2
What is the difference in length between the longest ski trail and the shortest ski trail?
Answer:
Please provide more information!
Explanation:
Answer:
1.75
Explanation:
Lesson : Electricity and Magnetism
Q. Answer the following questions on the basis of the given diagram.
i. Label A , C , D and H
ii. What is the value of I ?
iii. A freely suspended magnet inclines towards HF or AG. Why ?
~Irrelevant / Absurd answers will be reported !~
Answer:
Explanation:
The funny-looking circle is a hint but iii confirms we are talking about Eartth's magnetic field here :)
i. A is North Pole while H is the magnetic North Pole. D is the equator while C is the magnetic equator.
ii. I, the tilt angle, is about 11 degrees.
iii. A freely suspended magnet inclines towards HF or AG because it always points towards North/South.
Answer:
Explanation:
A is North Pole, D equator. H is the magnetic North Pole n C the magnetic equator.
I is 10-12 degrees
magnet points to N-S direction as in a compass
please answer this dear friends please
Answer:
7. 5 pa
8. 5 pa
9. 5 pa
10. 75 pa
11. 25 N
Explanation:
7.
P = F/ A
= 15 / 3
= 5 pa
8.
P = F/ A
= 35 / 7
= 5 pa
9.
area of floor = l × b
= 1 × 4
= 4m^ 2
P = F / A
= 20 / 4
=5 pa
10.
area in m^2 = 400/100 = 4m^2
P = F/A
= 300 / 4
= 75 pa
11.
F = P×A
= 25×1
= 25 N