Answer:
Solution:
For small angle prism
δ
1
=(μ−1)A
⟹δ
1
=(1.5−1)(4)
⟹δ
1
=2
∘
So ray is incident on plane mirror at 2
∘
,
Hence δ
2
=S
mirror
=180
∘
−2(2
∘
)=176
∘
Total reflection = δ
1
+δ
2
=176
∘
+2
∘
=178
∘
clockwise.
a ball is rolled at a velocity of 12 miles per second. after 36 seconds, it comes to a stop. what is the acceleration of the ball?
Question :-
A Ball is Rolled at a Velocity of 12 m/s. After 36 sec , it comes to a stop. What is the Acceleration of the ball ?Answer :-
Acceleration is -0.33 m/s² .Explanation :-
As per the provided information in the given question, we have been given that the Velocity of the ball is 12 m/s . Time is given as 36 sec . And, we have been asked to calculate the Acceleration .
For calculating the Acceleration , we will use the Formula :-
\( \bigstar \: \: \boxed{ \sf{ \: Acceleration \: = \: \dfrac{v \: - \: u}{t} \: }} \)
Where ,
V denotes to the Final VelocityU denotes to the Initial VelocityT denotes to the Time TakenTherefore , by Substituting the given values in the above Formula :-
\( \dag \: \: \: \sf { Acceleration \: = \: \dfrac{Final \: Velocity \: - \: Initial \: Velocity}{Time} } \)
\( \longmapsto \: \: \sf { Acceleration \: = \: \dfrac{0 \: - \: 12}{36}} \)
\(\longmapsto \: \: \sf {Acceleration \: = \: \dfrac{ \: 12 \: }{36}}\)
\(\longmapsto \: \: \sf {Acceleration \: = \: \dfrac{ \: 1 \: }{3}}\)
\( \longmapsto \: \bf {Acceleration \: = \: 0.33 \: m/s^{2}} \)
Hence :-
Acceleration of Ball is -0.33 m/s² .\( \underline {\rule {212pt} {4pt}} \)
Jasmine is trying to hang a new clock in her apartment. The clock experiences a force due to the gravity of 15N. She has a stick on a hook that exerts an upward force of 10N. Are the forces on her clock balanced or unbalanced and what will happen to the clock?
Answer:
The forces are unbalanced
Explanation:
Since the force of the clock is heavier that the force of the stick on a hook, the clock will fall to the ground because the clock weighs more. I hope this helps!!! ;)
Jasmine is trying to hang a new clock in her apartment. The clock experiences a force due to the gravity of 15 N. She has a stick on a hook that exerts an upward force of 10 N. The forces are unbalanced
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.
Since the force of the clock is heavier that the force of the stick on a hook, the clock will fall to the ground because the clock weighs more.
Jasmine is trying to hang a new clock in her apartment. The clock experiences a force due to the gravity of 15 N. She has a stick on a hook that exerts an upward force of 10 N. The forces are unbalanced
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A force directed 51.8° below the positive x-axis has an x component of 4.93 lb. Find its y component.
y= 6.26 lb.
Explanation:1. Draw the vector of the force to better visualize and understand the problem.Check attached image 1.
2. Find an expression for the force in the y axis.Using the trigonometric functions, we need to find a function that relates the angle, opposite side and adjacent side of the drawn triangle. The function that does this is the tangent.
Let theta (θ) be the angle given by the problem.
Let "y" be the missing y component.
Tangent (θ) = Opposite side (y) / Adjacent side (x)
\(Tan(tetha)=\frac{y}{x}\)
3. Solve the equation for y by multiplying both sides by x.\(Tan(tetha)*x=y\)
4. Substitute the information given by the problem and calculate y.\(Tan(51.8)*(4.93)=y\\ \\y=6.26\)
5. Express the result.
y= 6.26 lb.
Imagine that a car is traveling from your left to your right at a constant velocity. Which two actions could the driver take that may be represented as (a) a velocity vector and an acceleration vector both pointing to the right and then (b) changing so the velocity vector points to the right and the acceleration vector points to the left?
Question 13 options:
(a) Push down on the brakes and then (b) push down on the accelerator.
(a) Push down on the brakes and then (b) push down on the brakes a second time.
(a) Push down on the accelerator and then (b) push down again on the accelerator a second time.
(a) Push down on the accelerator and then (b) push down on the brakes.
The velocity vector and an acceleration vector, both pointing to the right for this push down on the accelerator, and the velocity vector points to the right and the acceleration vector points to the left for this one push down on the brakes. Hence, option D is correct.
What is an Accelerator?The far-right floor of a car is where the gas pedal, also known as an accelerator, is situated. It controls a car's speed, hence the name "accelerator." The car accelerates more quickly the harder we press the pedal. Therefore, push it gradually to avoid a rapid acceleration that could cause deadly mishaps. An accelerator is typically a pedal we use to adjust the speed of our autos.
Initially, they are moving in the same direction, indicating that the acceleration was simply pushed down. In order to apply the brakes, Sweet hit the accelerator while this Vienna was moving in the opposite direction. As a result, they were moving in opposing directions at the time.
Hence, option D is correct.
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A ball is thrown vertically upwards with a velocity of 10 m /s from the balcony of a tall building.
The balcony is 15m above the ground and gravitational acceleration is 10m/s^2.
Calculate the time taken for the ball to reach maximum height.
The time taken for the ball to reach its maximum height is 1 second.
To calculate the time taken for the ball to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, the ball is thrown vertically upwards, so the initial velocity (u) is 10 m/s (considering upwards as positive) and the acceleration (a) is -10 m/s² (negative because it opposes the motion).
The final velocity (v) at the maximum height will be zero because the ball momentarily comes to a stop before reversing its direction. Therefore, we can rewrite the equation as:
0 = 10 - 10t
Simplifying the equation, we get:
10t = 10
Dividing both sides by 10, we find:
t = 1 second
Therefore, the time taken for the ball to reach its maximum height is 1 second.
During this time, the ball covers the distance required to reach the maximum height, overcoming the gravitational acceleration. After reaching the maximum height, it will start to descend towards the ground due to the gravitational pull.
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Topic : Collisions and Conservation of Momentum
1. Two children are standing still on ice and push off each other. Each has a momentum after the push. Do they violate the conservation of law? Initial momentum is zero.
2. Describe how the conservation law works with elastic and inelastic collisions.
3. In general, for elastic collisions with stationary objects, when will the first object bounce back? When will it follows the stationary object after the collision?
4. What is the use of airbags in vehicles?
5. Why are seatbelt designed to be stretchable?
It is amount of force or motion that cause the movement or moving of body.
Thus it is well explained.
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1.No they do not violate the conservation of law. Because the initial momentum can be zero.
2. The momentum is conserved in both elastic and inelastic collision.
What is the law of conservation of momentum?The momentum of the body before the contact is always equal to the momentum of the body after the impact, according to the rule of conservation of momentum.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
\(\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\)
1.No they do not violate the conservation of law. Because the initial momentum can be zero.
2. The momentum is conserved in both elastic and inelastic collision. Hence the conservation law works with elastic and inelastic collisions.
3. An elastic collision is one in which kinetic energy is conserved, meaning that the total kinetic energy before and after the impact is the same.
The object bounces once after the body gets struck. When the body's final velocity is zero it follows the stationary object after the collision.
4.. Airbags are meant to inflate automatically in the case of an abrupt deceleration or impact force indicative of a collision.
When the bag is fully inflated, it protects the driver and/or passenger by Increasing cushioning around the driver's neck, head, and spine.
5. Stretchable seatbelts are meant to allow a passenger's considerable velocity to be slowly reduced, preventing the passenger from being flung forward abruptly.
As a result, if the automobile collides, serious casualties can be avoided.
Hence no they do not violate the conservation of law. Because the initial momentum can be zero.
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Please help! This is due in 10 minutes
Answer:
Atom - the basic particle of matter
Density - calculated from measurements of mass and volume
Motion - calculated from measurements of distance and time
Energy - can change form and move matter
Matter - the scientific word for stuff
Hope this helps! Please mark brainliest if correct :D
A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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Suppose a 118kg watermelon is held 5m above the ground before sliding along a frictionless ramp to the ground. How high above the ground is the watermelon at the moment it's kinetic energy is 4,610J
This question involves the concepts of kinetic energy, potential energy, and the law of conservation of energy.
The watermelon is "1.02 m" above the ground.
The total energy of the watermelon can be found by its potential energy at the highest point:
Total Energy = mgh
where,
m = mass = 118 kgg = 9.81 m/s²h = height = 5 mTherefore,
Total Energy = (118 kg)(9.81 m/s²)(5 m)
Total Energy = 5787.9 J
LAW OF CONSERVATION OF ENERGYNow, according to the law of conservation of energy, at the given point:
Total Energy = Kinetic Energy + Potential Energy
5787.9 J = 4610 J + mgh'
\(h'=\frac{5787.9\ J-4610\ J}{(118\ kg)(9.81\ m/s^2)}\)
h' = 1.02 m
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Atom A donates an electron to atom B. Both atoms are now...
Question 7 options:
Useful
Metallic
Safe
Charged
Answer:
Charged
Explanation:
When an atoms loses or gains electrons they become charged(ion)
When an atom loses electrons it becomes positively charged and it is called a Cation
When an atom gains electrons it becomes negatively charged and it is called an Anion
Jeff finds a pond during a nature walk, and he has some questions based on his observations of the pond.
Which question can he answer through a scientific investigation?
Which organisms are part of the food web in the pond?
How much money should be spent to make the pond more attractive?
Which pond animals would make the best pets?
Which plants in the pond are the prettiest in summer?
Answer:
Which organisms are part of the food web in the pond?
Explanation:
A "scientific investigation" is a method of looking for an answer with the help of a scientific method. It helps a person learn more about the world around him.
Since the scientific investigation only employs "measurable" observations, then the only question he can ask is the types of organisms (which is measurable) that belonged to the pond's food web. This question is more focused on observing the pond, unlike the other questions that talked about different things like money, having a pet and summer season–these are not directly observable and measurable in the current situation.
Answer: Which organisms are part of the food web in the pond?
Explanation:
Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. How does the heat required for one of these processes compare to the heat required for the other process?
1. What is the starting temperature of the gas?
2. With the piston locked in place, the gas is heated until the pressure doubles. What is the final temperature?
1) The starting temperature of the gas is 288 K
b) When the pressure is doubled, the temperature is 576 K
What is the temperature?We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;
Pressure = 200 kPa or 1.97 atm
Volume = 3000 cm3 or 3 L
Temperature = ?
Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles
Then we have;
PV = nRT
T = PV/nR
T = 1.97 * 3/0.25 * 0.082
T = 5.91/0.0205
T = 288 K
If the pressure doubles and we have;
P1/T1 = P2/T2
P1T2 = P2T1
T2 = 2(1.97) * 288/1.97
T2 = 576 K
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A team at a university in Pennsylvania has concerns about the health of streams in a watershed because of the various land uses in the area. There has been an increase in road repair work, and the area has many dairy farms. Which of the following would be most effective at preventing sediment runoff into the streams of the watershed? *
a) Have construction crews steepen the slopes of the valleys of streams near roadwork zones.
b) Maintain zones of grass at least wide on the sides of streams in the area.
c) Construct at least one dam on a stream in the watershed to improve flood control.
d) Shift from dairy farming to corn planted in agricultural fields located within of streams.
The ecological methods allows to find the correct answer to the question of how to prevent river pollution is:
b) Maintain zones of grass at least wide on the sides of streams in the area.
Stream pollution from human activities can occur in a number of ways:
The rubble boat in the river. The dragging of products from the bargains, fertilizers by the rains. Dragging of land by rain and machinery.
Let's analyze the different claims.
a) False. It is too expensive and the slopes cannot be changed due to possible flooding problems.
b) True. Maintaining a protective zone with grass on the sides of the rivers, prevents the waste of the frarmer from reaching the river, and the problems of the debris reaching the river bank. This un ecological methods.
c) False. The dam controls flooding but does not eliminate the problems of river pollution.
d) False. Many lands are not acts for agriculture, but for livestock.
In conclusion we can find the correct answer to the question of how to prevent river pollution is:
b) Maintain zones of grass at least wide on the sides of streams in the area.
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A bat emits a sonar sound wave
(343 m/s) that bounces off a
mosquito 8.42 m away. How
much time elapses between
when the bat emits the sound
and when it hears the echo?
(Unit = s)
Please help I am very confused with this topic
The time between when the bat emits the sound and when it hears the echo is 0.05 s
From the question given above, the following data were obtained:
Velocity of sound (v) = 343 m/s
Distance (x) = 8.42 m
Time (t) =?We can obtain obtained the time as illustrated below:
v = 2x / t
343 = 2 × 8.42 / t
343 = 16.84 / t
Cross multiply
343 × t = 16.84
Divide both side by 343
t = 16.84/343
t = 0.05 sThus, the time between when the bat emits the sound and when it hears the echo is 0.05 s
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Answer:
0.0491
Explanation:
Increasing the amplitude of an electromagnetic radiation increases its
intensity
speed
frequency
period
Answer: Frequency and wavelength are inversely proportional.
Explanation:
c
=
f
⋅
λ
(
The speed of light is directly proportional to
f
and
λ
)
.
c
f
=
λ
(
The speed of light is directly proportional to
f
, and
f
is inversely proportional to
λ
)
.
c
λ
=
f
(
The speed of light is directly proportional to
λ
, and
λ
is inversely proportional to
f
.
Notice in the diagram below that as wavelength decreases, the frequency increases. The speed of light,
c
is a constant, so when wavelength decreases, frequency increases and vice versa.
Increasing the amplitude of electromagnetic radiation also increases its intensity. Hence, option A is correct.
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms, which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation.
Frequency, which is defined as the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency, or we can say that wavelength and refractive index are inversely proportional to each other.
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1) A squirrel falls from a tree. After a brief rest, the squirrel begins to accelerate until it reaches a velocity of
5.8 m/s. If the squirrel ran a total of 15 m, what would be its acceleration ?
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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A 1.2 kg object hanging from a spring of force constant 300 N/m oscillates with a maximum speed of 30 cm/s. (a) What is its maximum displacement? When the object is at its maximum displacement, find (b) the total energy of the system, and (c) the gravitational potential energy. (Choose potential energy as zero when the object is in equilibrium).
The maximum displacement = 0.0189 m
The Total energy of the system = 1.188 J
The Gravitational potential energy = 0.22 J
Let m be = Mass of the object = 1.2 kg
As given K = Spring Constant of the spring = 300 N/m
Let v denote = Maximum speed with which the body oscillates = 30 cm/s
Let 'x' be the maximum displacement of the body
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy= kinteric energy+potential energy =kx²/2 + mv²/2
=1.188J
The Gravitational potential energy of the system is
E=Mgx=1.2*9.8*0.0189
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The 1.2 kg object's maximum displacement when it is suspended from a spring with a 300 N/m force constant oscillates at a maximum speed of 30 cm/s. This displacement is equal to 0.0189 m.
How to calculate displacement and energy?When the object is displaced to its maximum, the system's total energy is 1.188 J.
The energy of gravity is equal to 0.22 J.
Allow m to be equal to 1.2 kg, the object's mass.
K = Spring as stated. Springs have a constant of 300 N/m.
the body can oscillate at a maximum speed of 30 cm/s (let v signify this).
Suppose that "x" represents the body's largest displacement.
x²= mv²/k=1.2* 0.3 /300= 0.0189
Total energy = interstellar energy + potential energy = kx2/2 + mv2/2
=1.188J
According to the system's gravitational potential energy,
E=Mgx=1.2*9.8*0.0189
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An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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Which best describes most covalent compounds? resilient brittle cold warm
Answer:
B) brittle
Explanation:
This describes most covalent compounds.
Answer:
B.)
Explanation:
The atoms can be of the same element or different elements. In each molecule, the bonds between the atoms are strong but the bonds between molecules are usually weak. This makes many solid materials with covalent bonds brittle.
What is precipitation and how does it affect weather? (20 points)
Answer:
precipitation is any frozen or liquid that forms in the atmosphere and falls back to Earth in the form of rain, hail, snow, or sleet.
Explanation:
precipitation can give an excessive amount of rainfall which will result in freezing crops andcold temperatures
Victoria ran around a circular field 3 times. If she ran a total
distance of 750 meters, what are the diameter and radius of
the field?
The diameter and the radius of the field that Victoria ran around would be = 80m and 40m respectively.
How to calculate the diameter and the radius of the field?The total distance covered by Victoria = 750meters
The number of time she ran around the field = 3
Therefore the circumference of the field = 750/3 = 250m
The formula for the circumference of circle = 2πr
That is ;
250 = 2×3.14 ×r
make r the subject of formula;
r = 250/ 6.28
r = 39.8 = 40 cm
Therefore the diameter = 2×40 = 80m
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PLEASE HELP!!!!!!! MT TIME FOR MY TEST IS ALMOST OVER!!!
An ideal spring, with a pointer attached to its end, hangs next to a scale. With a 100-N weight attached, the pointer indicates "40" on the scale as shown. Using a 200-N weight instead results in "60" on the scale. Using an unknown weight X instead results in "30" on the scale. The weight of X is:
Answer:
50 N
Explanation:
Let the natural length of the spring = L
so
100 = k(40 - L) (1)
200 = k(60 - L) (2)
(2)/(1): 2 = (60 - L)/(40 - L)
60 - L = 2(40 - L)
60 - L = 80 - 2L
2L - L = 80 - 60
L = 20
Sub it into (1):
100 = k(40 - 20) = 20k
k = 100/20 = 5 N/in
Now
X = k(30 - L) = 5(30 - 20) = 50 N
During an experiment of momentum, trolley, X, of mass (2.34 ± 0.01) kg is moving away from another trolley, Y, of mass (2.561 ± 0.001) kg with a speed of (3.2 ± 0.01) ms-1. The second trolley is moving away with a distance of (2.5 ± 0.01) ms-1.
What is the absolute uncertainty of the ratio of momentum of the two trolleys X/Y?
Answer:
P = 1 (14,045 ± 0.03 ) k gm/s
Explanation:
In this exercise we are asked about the uncertainty of the momentum of the two carriages
Δ (Pₓ / Py) =?
Let's start by finding the momentum of each vehicle
car X
Pₓ = m vₓ
Pₓ = 2.34 2.5
Pₓ = 5.85 kg m
car Y
Py = 2,561 3.2
Py = 8,195 kgm
How do we calculate the absolute uncertainty at the two moments?
ΔPₓ = m Δv + v Δm
ΔPₓ = 2.34 0.01 + 2.561 0.01
ΔPₓ = 0.05 kg m
Δ\(P_{y}\) = m Δv + v Δm
ΔP_{y} = 2,561 0.01+ 3.2 0.001
ΔP_{y} = 0.03 kg m
now we have the uncertainty of each moment
P = Pₓ / \(P_{y}\)
ΔP = ΔPₓ/P_{y} + Pₓ ΔP_{y} / P_{y}²
ΔP = 8,195 0.05 + 5.85 0.03 / 8,195²
ΔP = 0.006 + 0.0026
ΔP = 0.009 kg m
The result is
P = 14,045 ± 0.039 = (14,045 ± 0.03 ) k gm/s
A 20-kg child slides down a playground slide with a constant acceleration of a = 2.4 m/s2 parallel to the surface of the slide. The child starts sliding with an initial speed of v0. Refer to the figure.
The initial velocity of the child is 2.41 m/s
Your question is not complete, I have provided the complete question below.
"A 20-kg child slides down a playground slide with a constant acceleration of a = 2.4 m/s2 parallel to the surface of the slide. The child starts sliding with an initial speed of v0. Refer to the figure. (check the image uploaded)
If the slide is 4.0 m long and the child's final speed is vf = 5.0 m/s, what is their initial speed, in meters per second?"
The given parameters:
mass of the child, m = 20 kg
acceleration of the child, a = 2.4 m/s²
the final velocity of the child, vf = 5 m/s
distance traveled by the child, s = 4 m
To find:
the initial velocity of the child,The initial velocity of the child is calculated as follows;
\(v_f^2 = v_o ^2 + 2as\\\\v_o^2 = v_f^2 - 2as\\\\v_0^2 = (5^2) - 2(2.4 \times 4)\\\\v_0^2 = 5.8\\\\v_0 = \sqrt{5.8} \\\\v_0 = 2.41 \ m/s\)
Thus, the initial velocity of the child is 2.41 m/s
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5.Calculate the entropy changes for the following processes:(a)Melting of one mole of tin at its melting point, 213 ᵒC; ΔHfus = 7.029 kJ/mol(b)Evaporation of one mole of liquid carbon dioxide at its boiling point, 216.6 K. ΔHvap = 15.326 kJ/mol
Answer:
a) ΔS = 14.46 J/k
b) ΔS = 70.76 J/k
Explanation:
The general formula to calculate the entropy change accompanied with a process is:
ΔS = ΔQ/T
where,
ΔS = entropy change for the process
ΔQ = Heat Transfer during the process
T = Absolute Temperature during the process
a)
In this case the heat transfer will be given as:
ΔQ = (ΔHfus)(N)
where,
ΔHfus = Molar Heat of Fusion of Tin = 7.029 KJ/mol
N = No. of moles of tin = 1 mol
Therefore,
ΔQ = (7.029 KJ/mol)(1 mol)
ΔQ = 7.029 KJ = 7029 J
and the absolute temperature is:
T = 213°C +273 = 486 k
using these values in the entropy formula, we get:
ΔS = 7029 J/486 k
ΔS = 14.46 J/k
b)
In this case the heat transfer will be given as:
ΔQ = (ΔHvap)(N)
where,
ΔHvap = Molar Heat of Vaporization of Carbon Dioxide = 15.326 KJ/mol
N = No. of moles of Carbon Dioxide = 1 mol
Therefore,
ΔQ = (15.326 KJ/mol)(1 mol)
ΔQ = 15.326 KJ = 15326 J
and the absolute temperature is:
T = 216.6 k
using these values in the entropy formula, we get:
ΔS = 15326 J/216.6 k
ΔS = 70.76 J/k
Josh starts his sled at the top of a 3.5-m high hill that has a constant slope of 25∘
. After reaching the bottom, he slides across a horizontal patch of snow. The hill is frictionless, but the coefficient of kinetic friction between his sled and the snow is 0.08.
If the coefficient of kinetic friction between Josh's sled and the snow is 0.08, he slides 6.97 meter from the base of the hill.
To find how far from the base of the hill Josh's sled ends up, we need to first find the speed of the sled at the bottom of the hill using the conservation of energy principle,
mgh = (1/2)mv², plugging in the values given in the problem, we get,
m(9.81 m/s²)(3.5 m) = (1/2)mv²
Simplifying and solving for v, we get,
v = √(2gh)
v = √(2(9.81 m/s²)(3.5 m))
v = 8.29 m/s
Now we can use the kinematic equation,
d = vt - (1/2)at, to find how far the sled slides on the horizontal patch of snow before coming to a stop, where d is the distance traveled, v is the initial velocity (8.29 m/s), a is the acceleration due to friction (-μg), and t is the time it takes to come to a stop (which we can find by setting v = 0 and solving for t),
0 = 8.29 m/s - μg*t
t = 8.29 m/s / μg
Substituting this value of t back into the kinematic equation, we get,
d = (8.29)(8.29/μg) - (1/2)μg(8.29/μg)²
d = 6.97 m
Therefore, Josh's sled ends up 6.97 meters from the base of the hill.
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Four year old Sam has been hitting other children at preschool. He may have learned this behavior from his parents who regularly spank him. What approach to personality best explains Sam's behavior?
A. psychodynamic
B. behavioral
C. humanistic
D. biological
A. psychodynamic is the personality best explains Sam's behavior
What is psychodynamic ?
The psychology of mental or emotional forces or processes developing especially in early childhood and their effects on behavior and mental states is called psychodynamic .
Since , any behavior is not genetical or it never get inherited hence it is not biological . This has been grown with time and this behavior have been grown in Sam by observing his parents doing the same hence correct option should be A. psychodynamic
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A scientist wants to know if adults prefer watching movies in a theater or in their home. He interviews 500 people leaving a local movie theater and finds that 480 of them like watching movies in theaters. The scientist concludes that 96 percent of people like watching movies in theaters more than at home. Why is the scientist's conclusion most likely unreliable?
Not enough people were interviewed.
The investigation was based on preferences.
The investigation was not replicable.
The location of the survey introduced bias
Answer:
The location of the survey is biased.
Explanation:
If someone left a movie theater, it is most likely because he likes watching movies there. A better place to interview would be on the streets, as it’s less biased there
Answer:
It will be D/ The location of the survey introduced bias!
Explanation:
Which property of matter is conserved in chemical reactions and shown by balanced equations?
O mass
O volume
O density
O shape
Answer:
Mass.
Explanation:
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