Answers
Answer:
14.29m/s
Explanation:
v1' = ((m1 - m2) / (m1 + m2)) v1
v2' = (2m1 / (m1 + m2)) v1
Where
m1,m2 - Mass of Moving Objects
v1 - Velocity of Moving Objects
Related Questions
What type of essay explains the results of a specific event?
A. Argument and support
B. Cause and effect
C. Chronological order
D. Comparison and contrast
Answers
Answer:
a
Explanation:
A spherical bowling ball of mass 7 kg and radius 0.18 m rolls down a hill that has a vertical height of 7 m. If the ball started from rest at the top, what is its angular momentum at the bottom of the hill? Use two sig figs.
Answers
Answer:
er so ue 0.984 kg study your self brhh
Nicolas is playing with his toy car. A parachute in the back of the car is released to help slow down the car.
If the forces act on the car as shown in the picture, what is the net force?
Answers
Answer:3 N —->
Explanation:
In the case when the forces act on the car as shown in the picture so here the net force should be 3N.
Calculation of the net force:Since
A parachute in the back of the car is released to help slow down the car.
So here the net force should be
= 10 N - 7N
= 3 N
Hence, In the case when the forces act on the car as shown in the picture so here the net force should be 3N.
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To fully describe velocity you must have a _____
A. Magnitude and unit
B. Speed and unit
C. Average speed and position
D. Magnitude and direction
Answers
Hint: sin2θ + cos2θ = 1 .
Consider the 692 N weight held by two
cables shown below. The left-hand cable had
tension 570 N and makes an angle of θ2 with
the ceiling. The right-hand cable had tension
530 N and makes an angle of θ1 with the
ceiling. a) What is the angle θ1 which the righthand cable makes with respect to the ceiling?
Answer in units of ◦.
b) What is the angle θ2 which the left-hand
cable makes with respect to the ceiling?
Answer in units of ◦.
Answers
a) The angle θ1 which the righthand cable makes with respect to the ceiling is sin^(-1)(692 N / 530 N).
b) The angle θ2 which the left-hand cable makes with respect to the ceiling is sin^(-1)(692 N / 570 N).
We may utilise the tension of the right-hand cable as well as its vertical and horizontal components to determine the angle 1. θ2 = sin^(-1)(692 N / 570 N).
We may apply the ideas of trigonometry and vector addition to address this issue.
a) The tension of the right-hand wire as well as its vertical and horizontal components can be used to determine the angle 1.
T1sin(1) calculates the vertical component of the right-hand cable's tension, which is equal to the object's weight (692 N).
T1sin(θ1) = 692 N
We may rearrange the equation to find 1:
θ1 = sin^(-1)(692 N / T1)
We can find 1 by substituting the given tension value, T1 = 530 N:
θ1 = sin^(-1)(692 N / 530 N)
b) Similarly, we can use the formula to determine the angle 2 the left-hand cable's tension and its vertical and horizontal components.
The vertical component of the left-hand cable's tension is given by T2sin(θ2), and it should also be equal to the weight of the object (692 N).
T2sin(θ2) = 692 N
To find θ2, we can rearrange the equation:
θ2 = sin^(-1)(692 N / T2)
Substituting the given tension value T2 = 570 N, we can solve for θ2:
θ2 = sin^(-1)(692 N / 570 N)
Calculating these angles using the given tension values will provide the answers in degrees.
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The assignment has a total mark of 30% (thirty percent) I. Write "True" if the statement is correct and write "False" if the statement is nincorrect -1) The amount of E.P.E stored in the spring depends on the height of the spring. -2) When the force and displacement have opposite direction work done will have negative value. -3) Wheel and axle can be considered as special kinds of inclined planes. -4) The V.R is one means the load and effort both move the same distance. 5) At any given depth the pressure is equal in all direction. II. Match column A with column B. A Gauge pressure Up thrust 2R IMA = 9) M.A 10) mgs((sin 9 + μ cos 0) 6 7) 8) R.T nd P III. Chose the baste answer from four given alternatives 11) A force acting perpendicular to the direction of motion A) Does work B) Does not work -12) The same unit can be used to measure A) Work and power B) Power and energy A) Fixed pulleys B) movable pulleys B A) Work done against gravity B) Differential pulley C) Pg=Ps - Patm D) buoyant force E) Screw F) Jack screw G) total work done 13) The energy that related with motion is known as B. potential energy C) Chemical energy D) A and B A) kinetic energy 14) An inclined plane 60% efficiency is used to raise a load of 6000N through alight of 6m. While sliding 20m along the incline find the effort in the system? A) 300N B. 220N C) 1500N D) 3000N 15) Which one of the following the most common kinds of pulleys are C) Compound pulleys D) All of the above A) It must be in the gaseous state B) It must be in the liquid state C) Unknown D) A and B C) It must have a definite shape D) It must have a definite volume and C) Work and energy D) Force and acceleration -16) One of the following is an example of complex machine. A) Scissors B. Bicycles C) differential pulley D) All of the above 17) If the molecules of a substance move freely and occupy all the space available to them, than which of the following is true about the substance? Spac Tuto Com & Ma
Answers
It is a false statement that the amount of E.P.E stored in the spring depends on the height of the spring.
Why is the statement about E.P.E amount a false one?Elastic potential energy is the energy stored in an object when it is stretched or compressed. In a spring, the amount of elastic potential energy stored is determined by both the spring constant and the displacement of the spring from its equilibrium position.
The spring constant is a measure of the stiffness of the spring, while the displacement is the distance the spring is stretched or compressed. The greater the displacement of the spring, the more energy is stored in it. The height of the spring above the ground may affect the displacement, but it is not directly related to the amount of elastic potential energy stored in the spring.
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Joule is a SI unit of power
Measuring cylinder is used to measure the volume of a liquid
Answers
Answer:
The SI unit of power is watt
The total charge a battery can supply is rated in mA⋅hmA⋅h, the product of the current (in mA) and the time (in h) that the battery can provide this current. A battery rated at 1000mA⋅h can supply a current of 1000 mA for 1.0 h, 500 mA current for 2.0 h, and so on. A typical AA rechargeable battery has a voltage of 1.2 V and a rating of 1800mA⋅h. For how long could this battery drive current through a long, thin wire of resistance22Ω?
Answers
Answer:
118800 seconds
Explanation:
Given :
Voltage, V = 1.2 V
Resistance, R = 22 Ω
Applying Ohm's law, we get
Voltage, V = IR
Current \($I=\frac{V}{R}$\)
\($I=\frac{1.2}{22}$\)
I = 0.0545 A
Rate = 1800 mAh
Time taken, \($t=\frac{1800 \times 10^{-3}}{0.0545}$\)
= 33 hr
= 118800 s
. If two vectors are equal, what can you say about their components?
Answers
Answer:
If two vectors are equal, their components are also equal. For example, vector A and B both share the same x, y, and z components. By having the same components, the magnitude and direction does not change, which attest to how the vectors are identical.
So, if two vectors are equal, their components are also equal.
In vector mathematics, when two vectors are equal, it means their corresponding components are also equal. Thus, the magnitude and direction of the two vectors must be identical.
Explanation:In the world of mathematics, specifically vector mathematics, if two vectors are equal, that means their corresponding components are also equal. A vector is typically described by its individual components which are its magnitude (size) and direction.
For example, if vector A and vector B are equal, and vector A = \((x_1, y_1)\) and vector B = \((x_2, y_2)\), then\(x_1 = x_2\) and \(y_1 = y_2\). This applies to vectors in two-dimensional and three-dimensional spaces as well. Therefore, equality in vectors involves the same direction and magnitude causing the corresponding components to be equal.
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Question 1 of 10
A business must decide whether to open a new office in China. If it opens the
branch, it will increase its chances of selling a high volume of its products in
China. On the other hand, the business will have to spend a lot of money to
make the branch operational.
What would be an opportunity cost for the business if it chooses not to open
the new branch in China?
A. The business would lose the chance to make more money in
China.
B. The business would increase its marginal benefits on each
product it makes.
Answers
Opportunity cost refers to the cost of the next best alternative that must be forgone in order to pursue a certain action. In this case, if the business chooses not to open the new branch in China, the opportunity cost would be the potential revenue and profits that could have been generated by selling products in China.
What 3 ways can the number of species increase?
Answers
Answer:
Darwin's On the Origin of Species has led to a theory of evolution with a mass of empirical detail on population genetics below species level, together with heated debate on the details of macroevolutionary patterns above species level. Most of the main principles are clear and generally accepted, notably that life originated once and has evolved over time by descent with modification. Here, I review the fossil and molecular phylogenetic records of the response of life on Earth to Quaternary climatic changes. I suggest that the record can be best understood in terms of the nonlinear dynamics of the relationship between genotype and phenotype, and between climate and environments. ‘The origin of species’ is essentially unpredictable, but is nevertheless an inevitable consequence of the way that organisms reproduce through time. The process is ‘chaotic’, but not ‘random’. I suggest that biodiversity is best considered as continuously branching systems of lineages, where ‘species’ are the branch tips. The Earth's biodiversity should thus (1) be in a state of continuous increase and (2) show continuous discrepancies between genetic and morphological data in time and space.
Explanation:
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
Answers
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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A stone is dropped from top of a tower. If it takes 6 sec to hit the ground, find the height of tower and velocity with which the stone hits the ground ?
Answers
Answer:
Explanation:
s = ut+ 0.5at²
u = 0
t = 6
a = 9.81
s = 0 + 0.5 * 9.81 * 36 = 176.58 m
v = u + at
v = 9.81* 36 = 353 m/s
Lab: Types of Reactions Assignment: Lab Report
Answers
The types of chemical reactions are as follows:
Combination reactions Decomposition reactionsDouble decomposition Thermal dissociationRedox reactionsWhat the are the types of reactions?Chemical reactions are changes in which new substances are formed.
The types of chemical reactions are as follows:
Combination reactions - these are reactions in which two or more substances combine to form a single compoundDecomposition reactions - these are reactions in which a larger compound splits into smaller substancesDisplacement reactions - these are reactions in which one element or radical replaces another in a compoundDouble decomposition - these are reactions in which two substances exchange their radicals to form new compounds.Thermal dissociation - these reactions involves heating compounds to split them into smaller substances.Redox reactions - these are reactions in which oxidation and reduction reactions occur simultaneously.In conclusion, chemical reactions produce new substances.
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In Niels Bohr's 1913 model of the atom, the electron is in a circular orbit around a nucleus. An electron is 7.60 10-11 m from a nucleus traveling in a circular orbit with a speed of 2.45 106 m/s. (a) What is the magnitude of the magnetic moment due to the electron's motion?
Answers
Answer:
14.896 x 10^-24
Explanation:
Mo = (evr)/2e = electron = 1.6 x 10^-19v = velocityr = radius =7.60 x 10^-11This diagram shows a stationary box sitting on the floor. Which statements about the other force exerted on the box are
true?
gravitational force
O It's a normal force exerted by the floor. It balances the gravitational force.
O It's a friction force exerted by the floor. It balances the gravitational force.
O It's a normal force exerted by the floor. It doesn't balance the gravitational force.
d from the left. It doesn't balance the gravitational force.
Answers
It's a normal force exerted by the floor. It balances the gravitational force. Option A is correct. The normal force is balanced by the gravitational force.
What is the friction force?
It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N). Mathematically it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and accelertaion in the different components and balancing the equation gets components in the y-direction.
The normal force is balanced by the gravitational force. It's a normal force exerted by the floor. It balances the gravitational force.
Hence, option A is correct.
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The marriage rate per 1000 population for the years 1987-2009 is given by M(x)=−0.139x+11.074, where x is the number of years after 1980.a. Why is this a linear function, with y=M(x)?b. What is the slope? What does this slope say about the number of unmarried women who get married?
Answers
We have
\(M\mleft(x\mright)=-0.139x+11.074\)a. If we graph the function given we will obtain a line, also we have a function with degree one, this is a characteristic of a liner function.
the form
\(y=mx+b\)is a form of a linear function where m is the slope and b is the y-intercept.
b. as we can see our slope is -0.139 because the slope is negative the value of the function will decrease when x is bigger, so we have more unmarried women because the marriage decrease when x is bigger also the slope is the rate of change.
A liquid of density 1230 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.15 m/s and the pipe diameter 1 is 12.3 cm. At Location 2, the pipe diameter 2 is 16.1 cm. At Location 1, the pipe is Δ=9.29 m higher than it is at Location 2. Ignoring viscosity, calculate the difference Δ between the fluid pressure at Location 2 and the fluid pressure at Location 1.
Answers
The difference between fluid pressure at location 2 and fluid pressure at location 1 is mathematically given as
dP = 114 kPa
What is the difference between fluid pressure at location 2 and fluid pressure at location 1.?
Parameters are :
density of liquid,
speed of flow at location 1, = 9.15m/s
diameter of pipe at location 1, = 12.3cm
diameter of pipe at location 2, = 16.1 cm
height of pipe at location 1, = 9.29 m
We know that the Bernoulli's equation is mathematically given as
P + ρ*g*y + v² =pipe constant
Where
A1*v1 = A2*v2
π*(0.105/2)²*9.91 = π*(0.167/2)²*v2
v2 = 3.9 m/s
Hence, we have that
P1 + ρ*g*y1 + v1² = P2 + ρ*g*y2 + v2²
dP = 1290*9.8*9.01 + 9.91² - 3.9²
dP = 114 kPa
In conclusion, difference between fluid pressure is dP = 114 kPa
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Air currents escape room level 3 how to do it
Answers
Answer:
just do it. it's simple be smart friends
An object is dropped from a tower, 400 ft above the ground. The object's height above ground t seconds after the fall is s(t)=400−16t2. Determine the velocity and acceleration of the object the moment it reaches the ground.
Answers
The velocity of the object the moment it reaches the ground is 160 feet per s.
what is velocity?
The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the name given to the scalar absolute value (magnitude) of velocity, a coherent derived unit whose quantity is quantified in the SI.An object must move at a consistent speed and direction in order to have a constant velocity. The object can only move in a straight line if the direction is constant.constant a=32 feet/s
Now as we know that the Derivative of the position is Velocity.
Constants: 0=400-16t2
400=16t2
25=t2
t=5s
ds/Dt=v(t)=0-32t
dv/Dt=a(t)=-32 (gravity)
v(t) = -32(5s) = -160 feet/s Negative sign merely indicates a direction.
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b) By what factor does the fundamental frequency change when the mass per unit length of a guitar string increases by a factor of 3.50?
Answers
The fundamental frequency change when the mass per unit length of a guitar string increases by a factor of 3.50 is, 3.5ⁿ
What is frequency ?Frequency definition states that it is the number of complete cycles of waves passing a point in unit time, the SI unit of frequency is Hertz(Hz),
The frequency of a sinusoidal wave as the number of complete oscillations made by any wave element per unit of time.
The frequency of vibration of a string depends on the length L between the nodes,
the tension F in the string and its mass per unit length m.
Frequency,
f ∝ [Lᵃ] ... (1)
f ∝ [Fᵇ] ...(2)
f ∝ [Mⁿ] ...(3)
Combining equation (1) (2) and (3) we can say:
f₀ = k[Lᵃ x Fᵇ x Mⁿ]
So, when the mass per unit length increases by a factor of 3.50
Then, the new frequency is,
f = k[Lᵃ x Fᵇ x( 3.5M)ⁿ]
= 3.5ⁿ x k[Lᵃ x Fᵇ x Mⁿ]
f = 3.5ⁿ f₀
Hence, the frequency will increase by a factor of 3.5ⁿ
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Place a small object on the number line below at the position marked zero. Draw a circle around the object. Mark the center of this circle with the symbol for “initial position”. Move the object 5.0cm to the right and stop. Label this circle with the correct symbol for “final position.”

(A) What was the initial position of the object?
(B) What is the final position of the object?
(C) What is the distance traveled by the object?
(D) What is the displacement of the object?
(E) Of the three underlined quantities, which are numerically equal?
Answers
Nowton's third law refers to 'action reaction forces*. These forces are
always:
Answers
equal in magnitude but opposite in direction
(Ch 20 Vocab and Review)
Name 2 wave interactions that can occur when a wave encounters a barrier. (Ch 20 Vocab and Review)
Answers
Answer:
Reflection and diffraction
Explanation:
Reflection involves a change in direction of waves when they bounce off a barrier; refraction of waves involves a change in the direction of waves as they pass from one medium to another; and diffraction involves a change in direction of waves as they pass through an opening or around a barrier in their path.Diffraction refers to various phenomena that occur when a wave encounters an obstacle or opening. It is defined as the bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture.
Why are stress fractures a common injury for young athletes?
Answers
Answer: Stress fractures happen when muscles are too tired to take on the impact of exercise, and the bones absorb the added stress. So its common for young athletes to have this because they have insufficient energy and they dont stretch before exersise.
Hope this helps!
Sona wants to install room heater in her living room. She had only two options, either to install heater at the top of the window or near the ground level. . Which method of installing room heater would be the effective way . Why or Why not ?
Answers
If an electron vibrates up and down 1000 times each second, it generates an electromagnetic wave having aa. wavelength of 1000 mb. frequency of 1000 Hzc. speed of 1000 m/sd. period of 1000 s
Answers
The correct answer is frequency of 1000 Hz. The frequency of an electromagnetic wave is determined by the number of times the electron oscillates in a given amount of time.
What is electromagnetic wave?An electromagnetic wave is a type of energy wave that is composed of electric and magnetic fields and propagates through space. Electromagnetic waves are created when an electric field couples with a magnetic field. This happens when a charged particle accelerates, causing a disturbance in the electric and magnetic fields. Electromagnetic waves can be described in terms of their frequency, which is the number of times the wave oscillates per second, and their wavelength, which is the distance between two successive peaks of the wave. The frequency and wavelength of an electromagnetic wave determine its type. Different types of electromagnetic waves include radio waves, microwaves, infrared waves, ultraviolet waves, x-rays, and gamma rays.
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what happens when an electric current passes through a coil of wire instead of a single straight peice of wire
Answers
Answer:
An electric current passing through a coil of wire gives a strong form of magnetism called electromagnetism. When the electric current passes through a single straight piece of wire the electromagnetism is weak.
Explanation:
A merry-go-round is spinning in a circle at a constant speed. A child is 4 meters away from the center of the merry-go-round and experiences a centripetal acceleration of 6 m/s^2. What is the tangential velocity of the child?
A.) 1.5 m/s
B.) 24.0 m/s
C.) 9.1 m/s
D.) 4.9 m/s
Answers
The velocity is 4.9 m/s.
What is the centripetal acceleration?Centripetal acceleration is the acceleration that acts towards the center of a circular path and is required to maintain an object in circular motion. It is defined as the rate of change of velocity of an object moving in a circular path.
The formula for centripetal acceleration can be expressed as:
a_c = v^2 / r
Given that;
a = v^2/r
a = acceleration
v = tangential velocity
r = radius
Thus;
v = √ar
v = (6 * 4)^1/2
v = 4.9 m/s
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Two +1 C charges are separated by 300m. What is the magnitude of the electric force between them
Answers
Answer:
1000 N
Explanation:
The electric force between two charges is given as
F = kq'q/r²......................... Equation 1
Where F = electric force between the charges, q' = magnitude of the first charge, q = magnitude of the second charge, r = distance between the charges, k = coulombs constant
Given: q' = q = 1 C, r = 3000 m, k = 9×10⁹ Nm²/kg²
Substitute into equation 2
F = 1²×(9×10⁹)/3000²
F = 1000 N.
Hence the magnitude of the electric force between them = 1000 N