Answer:
52 km/h
Explanation:
When the two trucks move together after collision, the momentum of the system is conserved. The kinetic energy is not conserved. This is inelastic collision
The formula to apply here is :
m₁v₁ + m₂v₂ = {m₁+ m₂} *vf
Given that ;
m₁ = 8 ton ----convert to kg [ multiply by 907.185] =7258 kg
v₁ = 60 km/h
m₂ = 5 tons ------4536 kg
v₂ = 40 km/h
vf = final velocity
Using the values given;
m₁v₁ + m₂v₂ = {m₁+ m₂} *vf
8*60 + 5*40 = {8+5} * vf
480 + 200 = 13 * vf
680 = 13vf
680/13 = vf
52 km/h = vf
A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°.
a. What is the horizontal component of the velocity?
b. What is the vertical component of the velocity?
c. How long does it take the ball to reach its highest point?
d. What is the maximum height of the ball?
e. What is the total amount of time that the ball is in the air?
f. How far is the ball from the football player when it lands?
I would appreciate any help :)
Answer:
see explanation
Explanation:
Answer:
a. 13.22 m/s
b. 16.32
c. 1.664 s
d. 13.58
e. 3.328
f. 40.0m
Explanation:
This is basically what the guy said, i dunno if you saw the letters, but he added some at the end of every answer.
Only 35 % of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric field and the axis of the filter
Answer:
The angle between the electric field and the axis of the filter is 54⁰
Explanation:
Apply the equation for intensity of light through a polarizer.
[tex]I = I_oCos^2 \theta[/tex]
where;
I is the intensity of the transmitted light
I₀ is the intensity of the incident light
θ is the incident angle
If only 35 % of the intensity of a polarized light wave passes through a polarizing filter, then the ratio of the intensity of the transmitted light to that of the intensity of the incident light is given by;
[tex]\frac{I}{I_o} = Cos^2 \theta\\\\\frac{35}{100} = Cos^2 \theta\\\\Cos^2 \theta = 0.35\\\\Cos\theta = \sqrt{0.35} \\\\Cos\theta = 0.5916\\\\\theta = Cos^{-1}(0.5916)\\\\\theta = 54 ^0[/tex]
Therefore, the angle between the electric field and the axis of the filter is 54⁰
The angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.
What is electric field?The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.
From the Malus's law, the intensity of the polarized beam can be calculated with the following formula.
[tex]I=I_o\cos^2\theta[/tex]
Here, (I₀) is the intensity of the polarized beam incident on the observer θ is the angle of incident.
It is given that only 35 % of the intensity of a polarized light wave passes through a polarizing filter.
The angle between the electric field and the axis of the filter can be found out using the above formula as,
[tex]35\%=(100\%)\cos^2\theta\\\theta=\cos^{-1}\sqrt{\left(\dfrac{35}{100}\right)}\\\theta=54^o[/tex]
Hence, the angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.
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what are fundamental quantities
Answer: length, luminous intensity,mass, time, temperature, electric current, amount of a substance.
Explanation:
A 10-turn ideal solenoid has an inductance of 3.5 mH. When the solenoid carries a current of 2.0 A the magnetic flux through each turn is:
Answer:
7 * 10^-4Wb
Explanation:
The magnetic flux is the product of the inductance and current
Magnetic flux = LI
L is the inductance = 3.5mH
I is the current = 2.0A
Number of turns N = 2A
Since for a 10-turn solenoid, L = 3.5mH
For a one-turn solenoid, L = 3.5/10 = 0.35mH
magnetic flux = 0.35mH * 2
magnetic flux = 0.35 * 10^-3 * 2
magnetic flux = 0.7* 10^-3
Magnetic flux = 7 * 10^-4Wb
Hence the magnetic flux through each turn is 7 * 10^-4Wb
The magnetic flux through each turn is 7 ×10⁻⁴ Wb. The magnetic flux is the product of the inductance and current.
What is megnetic flux?
The surface integral of the normal component of the magnetic field B across a surface is the magnetic flux through that surface. It is commonly indicated by the letters B.
The weber is the SI unit for magnetic flux, while the maxwell is the CGS unit.
The given data in the problem is;
[tex]\rm \phi[/tex] is the magnetic flux =?
L is the inductance = 3.5mH
I is the current = 2.0A
N number of turns of solenoid = 2A
The inductance for the one turn is found by;
For a 10-turn solenoid, L = 3.5mH
For a one-turn solenoid, L = 3.5/10 = 0.35mH
The megnetic flux through each turn is found by;
[tex]\rm \phi = L \times I \\\\ \rm \phi = 0.35 \times 10^{-3}\times 2\\\\ \rm \phi =7 \times 10^{-4}[/tex]
Hence the magnetic flux through each turn is 7 ×10⁻⁴ Wb.
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People have been able to make materials such as fiber optics cables A. using nails and screws. B. using glue and scissors. C. using rocks and stones. D. using science and technology.
Answer:
D
Explanation:
At the focal point of a converging lens, the object cannot be seen. O A. True B. False
Answer: True
Explanation: Guessed on A p E x and it was correct
Answer:
True
Explanation:
a p e x
I need help with this science work
Please tell us the question and we will try to answer.
When a satellite is in orbit around the Earth, the force of the gravity on the satellite is...
Answer:
Is always towards the center of the Earth
Explanation:
If one person is applying an upward force equal to 60 N at one end, at what location on the board is the other person applying an upward force
Answer:
When one person applies force f1 = 60 N at one end, the other person applies f2 = 160 - 60 = 100 N. The torques about the center must balance. Thus the distances from the center d1 and d2 must be such that f1*d1 = f2*d2, or 60*1.5 = 100*d2, so d2=0.9. Thus f2 must be applied at a point 1.5 + 0.9 = 2.4 m from the end where f1 is applied.
A particle with charge q and mass m moving with speed v in the x direction enters a magnetic field of strength B pointing in the y direction. The magnitude of the acceleration of the particle as it travels one semicircle is
Answer:
The acceleration of the particle as it travels one semicircle is
[tex]a= \frac{\pi R}{t^2}[/tex]
Explanation:'
Kindly see attached a sketch of a semi-circle
Step one:
given data
velocity =v
let the time taken be t
The path PQM is the distance covered
so distance [tex]d= \pi R[/tex]
we know that time= distance/velocity
t= πR/v
step two:
velocity =distance/time
[tex]velocity=\frac{\pi R}{t}[/tex]
also, we know that acceleration is velocity/time
[tex]a= \frac{\pi R}{\frac{t}{t} }[/tex]
[tex]a= \frac{\pi R}{t}*\frac{1}{t}[/tex]
[tex]a= \frac{\pi R}{t^2}[/tex]
Two men, Joel and Jerry, push against a wall. Jerry stops after 10 min, while Joel is able 1) to push for 5.0 min longer. Compare the work they do. A) Both men do positive work, but Joel does 25% more work than Jerry. B) Both men do positive work, but Joel does 75% more work than Jerry. C) Both men do positive work, but Jerry does 50% more work than Joel. D) Both men do positive work, but Joel does 50% more work than Jerry E) Neither of them does any work.
Answer:
the correct answer is E
Explanation:
Work is defined by the expression
W = F. d
Where the bold indicates vectors, we can make the dot product explicit
W = F d cos θ
We can see that this definition of work the two men apply a force, but the wall does not move, so if there is no displacement the work is zero.
When checking the correct answer is E
does water not have anomalous expansion?
Explanation:
The anomalous expansion of water is an abnormal property of water whereby it expands instead of contracting when the temperature goes from 4o C to 0o C, and it becomes less dense. ... The density becomes less and less as it freezes because molecules of water normally form open crystal structures when in solid form.
Someone help me please.
Answer:
ionic
ionic
covalent
covalent (i think)
Explanation:
ionic= donate electrons (gain/lose)... (results in ions that have +/- charge, are no longer neutral)
covalent= share electrons
please help im failing!!!
Imagine holding two identical bricks under water. Brick A is just beneath the surface of the water, while brick B is at a greater depth. What is the force needed to hold brick B in place? (Assume the density of water doesn't change with height.) a) the same as b) larger c) smaller than the force required to hold brick A in place.
Answer:
I think it's c
Explanation:
The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.
Hope this helps you! x
Buoyancy force is needed to hold brick B in place.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth. The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.
Buoyancy force is needed to hold brick B in place.
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A ferry crossed the Potomac River four times in one day. The ferry traveled the same distance for each trip, but it took different amounts of time. The time for each trip is shown in the table below. Time for Ferry to Cross on Different Trips Trip Number Time Trip 1 10 minutes Trip 2 11 minutes Trip 3 9 minutes Trip 4 12 minutes On which trip did the ferry travel the fastest? A. Trip 3 B. Trip 2 C. Trip 4 D. Trip 1
Explanation:
trip 3 ( 9 minutes)
If the ferry is moving at a faster speed, it will travel the same distance in a shorter time. The ferry crossed the river the fastest on Trip 3 because it took the shortest amount of time on that trip.
Which dwarf planet has a moon nearly as large as itself?
Answer:
The answer is the Pluto.
What are the two main regions of the body?
cranial and spinal
axial and appendicular
trunk and limbs
muscular and skeletal
Answer: Your correct answer would be the second option; axial and appendicular. The axial region makes up the axis of the human body, this includes your head, neck, etc. The appendicular region makes up the parts of the human body that connects to the axial region, for example limbs and appendages.
While Barb was playing soccer, she was kicked in the anterior thigh by an opposing teammate. Due to this injury, what muscle function may she find difficult to perform?
Answer:
knee extension is the muscle function that will be difficult to perform.
Explanation:
Barb was kicked in the anterior thigh. Now, the thigh muscles performs a combined operation of moving the knee and leg and they reside in the following compartments.
- Anterior compartment which is composed of knee joint extension and thigh flexion.
- Lateral Compartment which is composed of the tensor fasciae latae, which is a tiny muscle that abducts and centrally will make the thigh to rotate.
-Medial compartment which involves thigh addiction which is rotating of the thigh around the hips.
- Posterior compartment which involves knee joint flexion and high extension.
Thus, from the different compartments listed above, we can see that the muscles that extend the knee and flex the thigh all lie in the anterior compartment of the upper leg.
Thus, we can conclude that knee extension is the muscle function that will be difficult to perform.
A force of 400-N pushes on a 25-kg box horizontally. The box accelerates at 9 m/s? Find the coefficient of kinetic friction between the box and floor.
Answer:
0.69Explanation:
Using the Newtons law of motion;
[tex]\sum Fx = ma_x\\Fm - Ff = ma_x[/tex]
Fm is the moving force = 400N
Ff is the frictional force = μR
μ is the coefficient of kinetic friction
R is the reaction = mg
m is the mass
a is the acceleration
The equation becomes;
[tex]Fm - \mu R = ma_x\\Fm - \mu mg = ma_x\\400- \mu (25)(9.8) = 25(9)\\400 - 254.8 \mu = 225\\- 254.8 \mu = 225 - 400\\- 254.8 \mu = -175\\ \mu = \frac{-175}{- 254.8} \\\mu = 0.69[/tex]
Hence the coefficient of kinetic friction between the box and floor is 0.69
The coefficient of kinetic friction between the box and the floor is 0.714.
Friction: This can be defined as the force that tends to oppose two surfaces in motion.
The question above can be solved using the formula
F-ma = mgμ................. Equation 1
Where F = Force applied to push the box, m = mass of the box, a = acceleration of the box, μ = coefficient of kinetic friction, g = acceleration due to gravity.
make μ the subject of the equation
μ = (F-ma)/mg................ Equation 2
From the question,
Given: F = 400 N, m = 25 kg, a = 9 m/s²,
Constant: g = 9.8 m/s²
Substitute these values into equation 2
μ = [400-(25×9)]/(25×9.8)
μ = (400-225)/245
μ = 175/245
μ = 0.714
Hence, the coefficient of kinetic friction between the box and the floor is 0.714.
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What's the temperature 414K in degrees Celsius?
Answer:
212 I think
Explanation:
I looked it up
The density for gold is 19.3 g/cm3. What would be the mass of a 45 cm3 piece of gold?
Answer:
868.5 g
Explanation:
Mass= Density x Volume
Mass= 19.3 x 45
=868.5
Answer:
675.5g
Explanation:
The formula for density is: D = m/V.
To solve this problem, we need to rearrange this formula to solve for mass:
m = D x V.
Next, we plug the given values in for density, D, and volume, V:
m = 19.3 g/cm3 x 35 cm3
So, m = 675.5 g
A black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.27 g, what is the tension in the web
Answer:
Tension = 0.012 N
Explanation:
If the black widow spider is hanging vertically motionless from the ceiling above. Then, the weight of the spider must be balancing the tension in the spider web. Therefore,
Tension = Weight
Tension = mg
where,
m = mass of spider = 1.27 g = 0.00127 kg
g = acceleration due to gravity = 9.8 m/s²
Therefore,
Tension = (0.00127 kg)(9.8 m/s²)
Tension = 0.012 N
Gravity pushes against all objects, trying to crush it. What pushes against gravity in: a main sequence star, a white dwarf, a neutron star, and a black hole?
Answer:
heat pressure, neutron degeneracy, electron degeneracy,nothing.
Explanation:
In main sequence star, gravity's inward pull is greatly balanced by the heat pressure. In the white dwarf, gravity is mainly balanced by the electron degeneracy pressure that arises from the fact that the electrons are fermions and they obey the Pauli's exclusion principle. So there is no two electrons that have the same the four quantum numbers.
While in neutron star, the neutron degeneracy pressure obeys the Pauli's exclusion principle that gives rise to the degeneracy pressure and noting pushes against the gravity in the black hole. Therefore the correct option is the heat pressure, neutron degeneracy, electron degeneracy and nothing.
A 1000 kg car and a 2000 kg car are lifted the same distance in a
mechanic's shop. Neglecting friction, raising the more massive car
requires
Answer:
Twice as much work
Explanation:
A student drops a 2.4-kg ball. It’s speed right before hitting the ground is 5 m/s. If 15 J of energy was transferred to the environment as the ball fell, what was the total initial energy of the ball?
21 J
30 J
45 J
6 J
The answer is 45J
Don’t know how to explain sorry
A 65-turn coil has a diameter of 14 cm. Find the magnitude of the emf induced in the coil (in V) if it is placed in a spatially uniform magnetic field of magnitude 0.65 T so that the face of the coil makes the following angles with the magnetic field, and the magnetic field is reduced to zero uniformly in 0.2 s.
Answer:
The value is [tex]\epsilon = 3.24 \ V[/tex]
Explanation:
From the question we are told that
The number of turns is n = 65
The diameter is [tex]d = 14 \ cm = 0.14 \ m[/tex]
The magnetic field is [tex]B_1 = 0.65 \ T[/tex]
The time taken for the magnetic field to be reduced to [tex]B_2 = 0 \ T[/tex] is [tex]\Delta t = 0.2 s[/tex]
Generally the magnitude of the induced emf is mathematically represented as
[tex]\epsilon = N * \frac{B_1 - B_2}{\Delta t } * A[/tex]
Here A is the area of the coil which is mathematically represented as
[tex]A = \pi * \frac{d^2}{4}[/tex]
=> [tex]A = 3.142 * \frac{0.14^2}{4}[/tex]
=> [tex]A = 0.0154 \ m^2[/tex]
So
[tex]\epsilon = 65 * \frac{0.65 - 0 }{0.2 } * 0.01534[/tex]
=> [tex]\epsilon = 3.24 \ V[/tex]
In an RC parallel circuit, Et = 480 V, R = 50ko, and XC = 47 ko. What is the reactive power?
Correct question is;
In an RC parallel circuit, Et = 480 V, R = 50kΩ, and XC = 47 kΩ. What is the reactive power?
Answer:
P_r = 4.9 VARs
Explanation:
We are given;
Total voltage: Et = 480 V
Resistance; R = 50kΩ = 50000 Ω
Capacitive reactance; XC = 47 kΩ = 47000 Ω
Formula for current across the capacitor is;
Et = I_c • XC
I_c = Et/XC
l_c = 480/47000
I_c = 0.01021 A
Formula for reactive power is;
P_r = (I_c)² × XC
P_r = 0.01021² × 47000
P_r = 4.9 VARs
A student puts a besker of warm water next to a besker of cold water so that they fough which two statements are true? DA Thermal energy will move from the warm water to the cold water Thermal energy will move from the air to the cold water. Thermal energy utill move from the air to the warm water Thermal energy till move from the cold water to the warm water
Explanation:
so sorry
don't know but please mark me as brainliest please
An object has density rho.
a. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the material of which the object is made. Will the density change? If so, by what factor? Explain.
b. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the object's mass. Will the density change? If so, by what factor? Explain.
Answer:
a. the density will not change
b. D' = 0.125 D
So, the density will change by a factor of 0.125
Explanation:
a.
Density is the material property and the value of density is constant for all solid materials. So, when the dimensions of the a solid are increased, while the material is same, then the material must be added to the object for increasing its dimensions. So, with the increase in the volume, the mass of the object also increases. And as a result the density of the object remains constant.
Since, here the material remains the same.
Therefore, the density will not change
b.
Density = mass/Volume
D = m/V ------------ equation (1)
Now,
V = LWH ----------- equation (2)
Now, if each dimension increases by a factor of 2, the volume becomes:
V' = (2L)(2W)(2H)
V' = 8 LWH
using equation (2)
V' = 8 V
So, for constant mass, density becomes:
D' = m/V'
D' = m/8V
using equation (1)
D' = D/8
D' = 0.125 D
So, the density will change by a factor of 0.125
(a) The density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.
(b) With constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.
What is density of object?The degree measure of the compactness of an object is known as the density of an object. Mathematically, it is expressed as the ratio of the mass of the object to its volume.
(a)
Let us consider an object of dimension 'a'. As per the above definition, the density of an object is,
[tex]\rho = \dfrac{m}{V}[/tex]
Here,
m is the mass of the object.
V is the volume of the object. And its value is, [tex]V = a^{3}[/tex].
So the density becomes,
[tex]\rho = \dfrac{m}{a^{3}}[/tex] ..............................................................(1)
Now, if the dimensions of the object is increased by a factor of 2. Then, new density becomes,
[tex]\rho' =\dfrac{m}{(2a) \times (2a) \times (2a)}\\\\\\ \rho' =\dfrac{m}{8a^{3}}\\\\[/tex]
Substitute the value of equation (1) in the above expression as,
[tex]\rho' =\dfrac{1}{8} \times \dfrac{m}{a^{3}}\\\\\rho' =\dfrac{1}{8} \times \rho[/tex]
Thus, we can conclude that the density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.
(b)
The density of the material is equal to the ratio of the mass of the object (m) and the volume of the object (V). So, if the mass remains unchanged and the dimensions increased by the factor of 2, then the result will remain same as the above part.
Thus, we can conclude that with constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.
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