Answer:
v = 2099.5 km/h, v' = -618.8 km/h
or
v =-1996.6 km/h, v' = 721.7 km/h
Explanation:
From the law of conservation of momentum,
Total momentum before collision = Total momentum after collision
For elastic,
mu+m'u' = mv+m'v'..................... Equation 1
Total kinetic energy before collision is equal to total kinetic energy after collision
mu²+m'u'² = mv²+m'v'²............. Equation 2
Where m and m' are the mass of the car and truck respectively, and u and u' are the initial velocity of the car and the truck respectively, v and v' are the final velocity of the car and the truck respectively.
Given: m = 1800000 g = 1800 kg, m' = 5500 kg, u = 150 km/h, u' = 100000 km/h
Substitute these values into equation 1 and 2
1800(150)+5500(100000) = 1800v+5500v'
1800v+5500v' = 375500................... Equation 3
1800(150²) +5500(100000²) = 1800v²+5500v'²...................... Equation 4
Solving equation 3 and 4 simultaneously,
v = 2099.5 km/h, v' = -618.8 km/h
or
v =-1996.6 km/h, v' = 721.7 km/h
What is the wavelength associated with an electron with a velocity of 4.8X10s m/s? (Mass of the electron is 9.1X10-31kg)?
Answer:
1.52 nm
Explanation:
Using the De Broglie wavelength equation,
λ = h/p where λ = wavelength associated with electron, h = Planck's constant = 6.63 × 10⁻³⁴ Js and p = momentum of electron = mv where m = mass of electron = 9.1 × 10⁻³¹ kg and v = velocity of electron = 4.8 × 10⁵ m/s
So, λ = h/p
λ = h/mv
substituting the values of the variables into the equation, we have
λ = h/mv
λ = 6.63 × 10⁻³⁴ Js/(9.1 × 10⁻³¹ kg × 4.8 × 10⁵ m/s)
λ = 6.63 × 10⁻³⁴ Js/(43.68 × 10⁻²⁶ kgm/s)
λ = 0.1518 × 10⁻⁸ m
λ = 1.518 × 10⁻⁹ m
λ = 1.518 nm
λ ≅ 1.52 nm
21. Make sure carts are facing so that Velcro strips can stick together when they collide. Keep an extra 250g of mass on the cart 2 which starts at rest. Change sign on velocity center. Practice giving an initial velocity to cart 1 while cart 2 starts at rest so that after the collision both carts move as a combined object with mass m1 m2. What is the type of collision now you are practicing with two carts
Answer:
his type of shock is called inelastic
Explanation:
This exercise is for vehicle crashes, which corresponds to exercise is momentum conservation.
We must begin by defining a system formed by the two cars so that the forces during the crash have been intense and the moment is preserved.
Looking for the moments
initial. Before the crash
p₀ = m₁ v₁₀
final. After the crash
p_f = (m₁ + m₂) v
the conservation of the moment is written
p₀ = p_f
m₁ v₁₀ = (m₁ + m₂) v
This type of shock is called inelastic and has the characteristics that the kinetic energy is not conserved.
A motorcyclist is moving 24.5 m/s
away from a stationary siren, and
hears an 894 Hz sound. What is
the frequency of the siren when the
cyclist is stationary?
(Hint: 894 Hz is the Doppler-shifted
frequency)
(Speed of sound = 343 m/s)
(Unit = Hz)
w
Answer:962 hz
Explanation: got it right on acellus
The frequency of the siren when the cyclist is stationary will be 963 Hz.
What is frequency ?The frequency of a wave is the number of cycles per second.
FRom the doppler effect,
f =f'[ (V+Vs/V-Vo) ]
Here, doppler shifted frequency f' = 894 Hz, Source is stationary, Vs =0. Velocity of observer Vo = 24.5m/s and velocity of sound wave V = 343m/s
Substitute the value into the expression , we get
f = 894 x [(343/343 - 24.5)}
f = 963 Hz
Thus, the frequency of the siren when the cyclist is stationary is 963 Hz.
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write short note : power
Answer:
In physics, power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.
SI unit: watt (W)
Derivations from other quantities: P = E/t; P = F·v; P = V·I; P = τ·ω
In SI base units: kg⋅m2⋅s−3
Answer:
As a student, what are your insights about this lesson? Write an essay on your
toughts about the types of drugs/subtance of abuse, discussing its description and
effects
if up is up and down is down isn't downside up , upside down
Answer:
No they arent because they are opposite to each other.
0.5-lbm of a saturated vapor is converted to asaturated liquid by being cooled in a weighted piston-cylinder device maintained at 50 psia. During the phase conversion,thesystem volume decreases by 1.5 ft3; 250 Btu of heat areremoved; and the temperature remains fixed at 15F. Estimatethe boiling point temperature of this substance when itspressure is 60 psia.
Answer:
The boiling point temperature of this substance when its pressure is 60 psia is 480.275 R
Explanation:
Given the data in the question;
Using the Clapeyron equation
[tex](\frac{dP}{dT} )_{sat } = \frac{h_{fg}}{Tv_{fg}}[/tex]
[tex](\frac{dP}{dT} )_{sat } = \frac{\frac{H_{fg}}{m} }{T\frac{V_{fg}}{m} }[/tex]
where [tex]h_{fg[/tex] is the change in enthalpy of saturated vapor to saturated liquid ( 250 Btu
T is the temperature ( 15 + 460 )R
m is the mass of water ( 0.5 Ibm )
[tex]V_{fg[/tex] is specific volume ( 1.5 ft³ )
we substitute
[tex](\frac{dP}{dT} )_{sat } =( \frac{250Btu\frac{778Ibf-ft}{Btu} }{0.5})[/tex] / [tex]( (15+460)\frac{1.5}{0.5})[/tex]
[tex](\frac{dP}{dT} )_{sat } =[/tex] 272.98 Ibf-ft²/R
Now,
[tex](\frac{dP}{dT} )_{sat } =[/tex] [tex](\frac{P_2 - P_1}{T_2 - T_1})_{sat[/tex]
where P₁ is the initial pressure ( 50 psia )
P₂ is the final pressure ( 60 psia )
T₁ is the initial temperature ( 15 + 460 )R
T₂ is the final temperature = ?
we substitute;
[tex]T_2[/tex] [tex]= ( 15 + 460 ) + \frac{(60-50)psia(\frac{144in^2}{ft^2}) }{272.98}[/tex]
[tex]T_2 = 475 + 5.2751\\[/tex]
[tex]T_2 =[/tex] 480.275 R
Therefore, boiling point temperature of this substance when its pressure is 60 psia is 480.275 R
Which wave type could move in the empty space between the Sun and the Earth
Answer:
Electromagnetic waves
Define wheel and axle 4 example of wheel and axle
Answer:
A system of two co-axial cylindersof different diameters which rotate together is called wheel and axle example; the door knob , knob of the tap ,screw driver,water tap
Mike is deciding which route to take to the beach. If he takes the highway, he can travel at an average velocity of 100 km/hr for 17 km. If he takes surface streets, he can travel at an average velocity of 70 km/hr for 10 km. Which is the faster route for Make to take?
Answer: Highway
Explanation:
The sum of the initial and final velocity is divided by 2 to find the average. The average velocity calculator uses the formula that shows the average velocity (v) equals the sum of the final velocity (v) and the initial velocity (u), divided by 2.
HELP ASAP PLEASE Comparing the types and amounts of EM radiation in an object could help scientists determine an object's what? structure age chemical composition all of the above are correct
Answer: Its all of the above
Explanation:
I had the same question and got it correct
1. A temperature of 162 °F is equivalent to what temperature in kelvins?
(a) 373 K
(b) 288 K
(C) 345 K
(d) 201 K (e) 308 K
345k
Because the formula for our Fahrenheit is Kevin = 5 * (°Fahrenheit + 459.67)
9.
According to Newton's law of cooling, the rate at which an object's temperature changes is directly proportional to the difference in temperature between the object and the surrounding medium. If T(t) represents the temperature of the object (CC) at time t (in hours), and T5 represents the constant temperature of the surrounding medium, then the differential equation best describing the rate of change in the temperature of the object is:
Answer:
dT(t)/dt = k[T5 - T(t)]
Explanation:
Since T(t) represents the temperature of the object and T5 represents the temperature of the surroundings, according to Newton's law of cooling, the rate at which an object's temperature changes is directly proportional to the difference in temperature between the object and the surrounding medium, that is dT(t)/dt ∝ T5 - T(t)
Introducing the constant of proportionality
dT(t)/dt = k[T5 - T(t)]
which is the desired differential equation
Answer:
dT/dt = k[T5 - T]
Explanation:
DT/dt represents rate of change in temperature for Celsius degrees per hour. Its proportional to the difference in temperature between the object and the Surrounding medium. This means either dT/Dt =k (T-TS) or dT/dt=k(TS-T) with k being some positive constant of proportionality which depends on the object.
We can see that dT/dt = k(T-T5) has temperature increasing when the temperature of the object T is greater than the surrounding medium (T5).
The equation dT/dt=k(T5-T) has the temperature increasing when the object (T) is less than the temperature of the surrounding medium. Therefore the differential equation best describing the rate of change in temperature of the object is dT/dt=k(T5-T) for some positive constant of proportionality k.
For a satellite to orbit Earth at a constant distance, its centrifugal acceleration
must be equal and opposite Earth's gravitational acceleration. If a satellite is
to orbit at a constant distance from Earth at a circular radius of 8,300,000 m,
what is the required velocity of the satellite? (Assume the acceleration due to
Earth's gravity is 5.6 m/s2 at this altitude.)
A. 7043 m/s
B. 8239 m/s
C. 7576 m/s
D. 6818 m/s
If a satellite is to orbit at a constant distance from Earth at a circular radius of 8,300,000, the required velocity of the satellite is 8239m/s.
What is a satellite?
Most spacecraft, with the exception of passive satellites, contain a means of generating electricity for the technology they carry, such as solar panels or radioisotope thermoelectric generators (RTGs). The majority of satellites also feature transponders, which are a type of ground station communication system. The most common satellites, small CubeSats, use a standardised bus to reduce costs and labour. Satellites of a similar type can cooperate with one another to form constellations.To know more about satellite, click the link given below:
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Which device helps safely transmit electricity from the power plant to your
home?
Answer:
A. Transformer
Explanation:
it’s correct
Newton's laws of motion
Tin is more active than lead.
O A. True O B. False
Answer:
It would be false
Explanation:
Lead is more reactive if thats what you mean
01:Posttest 01:Motion Along a Straight Line
5. At the same moment, one rock is thrown upward at 4.5 m/s and another thrown downward at 3.4 m/s. What is the relative velocity of the first rock
from the perspective of the second rock? Assume that up is positive.
ration
0 -7.9 m/s
O 7.9 m/s
jects
O 1.1 m/s
0-1.1 m/s
Motion
wton's
<
5 of 25
>
Submit
Description
12:00 AM
99
Answer:
D
Explanation:
Given that one rock is thrown upward at 4.5 m/s and another thrown downward at 3.4 m/s. What is the relative velocity of the first rock
from the perspective of the second rock? Assume that up is positive.
Solution.
Since both of them are moving in the opposite direction, the relative velocity of the first rock from the perspective of the second rock will be
Relative velocity = 3.4 - 4.5
Relative velocity = - 1.1 m/s
Therefore, the relative velocity from the perspective of the second rock is negative 1.1 m/s.
The correct answer is option D.
Objectives
Pecina
y
01:Posttest 01:Motion Along a Straight Line
eration
1. An elevator moving down passes its neighbor, an elevator moving up. Their speed relative to one another is 8 m/s. What is the velocity of each
elevator relative to someone standing on the first floor? Assume that the elevators are traveling at the same speed, and that the upward direction is
positive.
tant Acceleration
O Both elevators are moving at 8 m/s.
y Falling Objects
O One elevator is moving at 4 m/s; the other elevator is moving at -4 m/s.
O Both elevators are moving at 4 m/s.
tive Velocity
O One elevator is moving at 8 m/s; the other elevator is moving at -8 m/s.
Posttest
on in a Plane
ton's Laws of Motion
>
1 of 25
Submit
blications of Newton's
Description
440
11:53 PM
4/4/2021
Answer:
B
Explanation: Given that an elevator moving down passes its neighbor, an elevator moving up. Their speed relative to one another is 8 m/s. What is the velocity of each elevator relative to someone standing on the first floor? Assume that the elevators are traveling at the same speed, and that the upward direction is positive.
O Both elevators are moving at 8 m/s.
y Falling Objects
O One elevator is moving at 4 m/s; the other elevator is moving at -4 m/s.
O Both elevators are moving at 4 m/s.
tive Velocity
O One elevator is moving at 8 m/s; the other elevator is moving at -8 m/s.
Solution.
Since the upward direction is positive, the downward direction will be negative.
For their speed relative to one another to be 8 m/s, the individual velocity will be:
4 - ( - 4 ) = 8
Therefore, the correct answer is:
One elevator is moving at 4 m/s; the other elevator is moving at -4 m/s
Which is option B
Because the negative sign multiply by negative sign will give positive.
That is,
4 + 4 = 8
two resistors, 5.0 ohm's each can be combined to give an equivalent resistance of
Answer:
2 possible answers:
1# 2.5 Ω (when the resistors are in parallel)
2# 10 Ω (when the resistors are in series)
Explanation:
there are two possible answers for this:
1# if the resistors are in parallel in the circuit
then:
1/R-equivalent=1/5+1/5
1/R-equivalent=2/5
R-equivalent=5/2=2.5 Ω
2# if the resistors are in series in the circuit
then:
R-equivalent=5+5
R-equivalent=10 Ω
Two resistors, 5.0 ohm's each can be combined to give an equivalent resistance of
If connected in series :
R = R1 + R2
R = 5 + 5
R = 10 ohms
If connected in parallel :
R = 1/R1 + 1/R2
R = 1/ 5 + 1/5
= 2 / 5
= 2.5 ohms
What is equivalent resistance ?
"The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated." Essentially, the circuit is designed either in Series or Parallel. Electrical resistance shows how much energy one needs when you move the charges/current through your devices.
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Introduction to Forces
Warm-Up Active
How do forces affect the motion of an object?
Answer:
Forces can affect an object.
Balanced forces allow an object to continue moving at a constant motion (law of inertia).
Unbalanced forces cause a change in motion.
Answer:
Because of my physics teacher I would put this entire explanation below if i were u
Explanation:
Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving.
Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity. So forces cause acceleration.
How do y’all solve this
Answer:
you Subtract
Explanation:
A = 6
B = 6
C = 0
D = 5
9-3= 6
13-7=6
11-11=0
6-1=5
Simple hope it helps
On a distance-time graph, what is the difference between a shallow slope and a steep slope?
A. A shallow slope shows the same speed as a steep slope.
B. A shallow slope shows a lower speed than a steep slope.
C. A shallow slope shows a more positive speed than a steep slope.
D. A shallow slope shows a higher speed than a steep slope.
A 1.8-kg object is attached to a spring and placed on frictionless, horizontal surface. A force of 40 N stretches a spring 20 cm from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. a) Find the force constant of the spring. b) Find the total energy of the oscillating system. c) Where will the object be from the equilibrium position when its velocity is -2.0 m/s (negative 2 m/s)
Answer:
a) k = 200 N/m
b) E = 4 J
c) Δx = 6.3 cm
Explanation:
a)
In order to find force constant of the spring, k, we can use the the Hooke's Law, which reads as follows:[tex]F = - k * \Delta x (1)[/tex]
where F = 40 N and Δx =- 0.2 m (since the force opposes to the displacement from the equilibrium position, we say that it's a restoring force).Solving for k:[tex]k =- \frac{F}{\Delta x} =-\frac{40 N}{-0.2m} = 200 N/m (2)[/tex]
b)
Assuming no friction present, total mechanical energy mus keep constant.When the spring is stretched, all the energy is elastic potential, and can be expressed as follows:[tex]U = \frac{1}{2}* k* (\Delta x)^{2} (3)[/tex]
Replacing k and Δx by their values, we get:[tex]U = \frac{1}{2}* k* (\Delta x)^{2} = \frac{1}{2}* 200 N/m* (0.2m)^{2} = 4 J (4)[/tex]
c)
When the object is oscillating, at any time, its energy will be part elastic potential, and part kinetic energy.We know that due to the conservation of energy, this sum will be equal to the total energy that we found in b).So, we can write the following expression:[tex]\frac{1}{2}* k* \Delta x_{1} ^{2} + \frac{1}{2} * m* v^{2} = \frac{1}{2}*k*\Delta x^{2} (5)[/tex]
Replacing the right side of (5) with (4), k, m, and v by the givens, and simplifying, we can solve for Δx₁, as follows:[tex]\frac{1}{2}* 200N/m* \Delta x_{1} ^{2} + \frac{1}{2} * 1.8kg* (-2.0m/s)^{2} = 4J (6)[/tex]
⇒ [tex]\frac{1}{2}* 200N/m* \Delta x_{1} ^{2} = 4J - 3.6 J = 0.4 J (7)[/tex]
⇒ [tex]\Delta x_{1} = \sqrt{\frac{0.8J}{200N/m} } = 6.3 cm (8)[/tex]
do fish get thirsty????
On a distance-time graph, what is shown when the curve is flat going from left to the right?
A. a negative speed
B. no speed
C. a positive speed
D. It does not mean anything.
Answer:
The aswers is C
Explanation:
The following lists the length and diameter of three copper wires. Wire A
- 5 cm long, 10 mm thick; Wire B- 10 cm long, 5 mm thick; Wire C - 15 cm
long, 1 mm thick. Which of these wires most likely has the highest
resistance? Help i’m taking a test
Answer:
Resistance is proportional to length and inversely proportional to area.
L1 = 5 cm
L2 = 10 cm
L3 = 15 cm
A1 = k * (.50 cm)^2
A2 = k * (.25 cm)^2 = 1/4 A1
A3 = k * (.05 cm)^2= 1/100 A1
R1 = 1 * 1 = 1
R2 = 2 * 4 = 8 R1
R3 = 3 * 100 = 300 R1
R3 has greatest resistance
Question number 11 how did we found the answer ?
Answer:
Option A. 57.14 Ω
Explanation:
From the question given above, the following data were obtained:
Resistor 1 (R₁) = 100 Ω
Resistor 2 (R₂) = 400 Ω
Resistor 3 (R₃) = 200 Ω
Equivalent Resistor (Rₚ) =?
The equivalent resistor in the above circuit can be obtained as follow:
1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₚ = 1/100 + 1/400 + 1/200
Find the least common multiple (lcm) of 100, 400 and 200. The result is 400. Divide 400 by 100, 200 and 400 respectively and multiply the result with the numerator as shown
1/Rₚ = (4 + 1 + 2)/400
1/Rₚ = 7/400
Invert
Rₚ = 400/7
Rₚ = 57.14 Ω
Which of the following statements describes the law of inertia?
O A. The force of friction on an object is proportional to the normal
force.
O B. Objects remain in the same state of motion unless a force acts on
them
O c. For every action force there is an equal and opposite reaction
force.
D. Net force is equal to mass times acceleration
Answer:
B. objects remain in the same state of motion unless a force acts on them
Explanation:
Sana nakatulong
Answer: B) objects remain in the same state of motion unless a force acts on them
Explanation:
Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
The net force on a body = mass of object × acceleration of the object
The first option "Objects remain in the same state of motion unless a force acts on them" is an implication of the first law of motion .
The second option "For every action force there is an equal and opposite reaction force" is an implication of the third law of motion.
The last option from the given list "Net force is equal to mass times acceleration" is an implication of the second law of motion.
A cardboard box has four forces acting upon it, as shown in the diagram below. What is the magnitude of the unknown force, Funknownacting on the box if the box is accelerating at 2.0 m/s 2 to the right?
(Answer choices)
A. 5N
B.6N
C.10 N
D. 11N
g One arm of a Michelson interferometer has a section of length 2.1 cm where the air can be evacuated. The dielectric constant of air is 1.00059. Find the number of fringes which will shift in the interference pattern of the interferometer when the air is evacuated for an interferometer illuminated with light of 663 nm wavelength.
Answer:
The answer is "12388.17"
Explanation:
[tex]l = 2.1 cm = 2.1 \times 10^{-2}\ m\\\\k = 1.00059\\\\\eta = \sqrt{k}= \sqrt{1.00059}\\\\\lambda = 663 nm = 663 \times 10^{-9}\ m[/tex]
Users now know that perhaps the number of fingers the shift is provided when a path difference [tex]\Delta d[/tex] are inserts between both the two arms
[tex]N = \frac{\Delta d}{\lambda}[/tex]
The optical pull-up in the arm is initially given by
[tex]d = 2\eta l[/tex]
Its new length of the different sense as the reflection coefficient adjustments between [tex]\eta[/tex] (air) and 1 so if we evacuate air from of the arm (vacuum).
The new length of a path is therefore
[tex]d'' = 2l[/tex]
Therefore, the different path
[tex]\Delta d=d-d''=2l(\eta -1)[/tex]
So, The fringe shifts number are
[tex]N= \frac{2l(\eta -1)}{\lambda}[/tex]
[tex]= \frac{2 \times 2.1 \times 10^{-2} (\sqrt{1.00059}-1)}{663 \times 10^{-9}}\\\\=12388.17[/tex]