A 288-gram cart starts from rest and rolls down an inclined plane from a height of 1.226 m. Determine its speed (in m/s) at a height of 0.126 m above the bottom of the incline. Assume friction is negligible
The law of conservation energy
PE₁ + KE₁ = PE₂ + KE₂
From rest ⇒ v₁ = 0 ⇒ KE₁ = 0
Input the value:
PE₁ = PE₂ + KE₂
[tex]\tt mgh_1=mgh_2+\dfrac{1}{2}mv_2^2\rightarrow divide\:m\\\\gh_1=gh_2+\dfrac{1}{2}v_2^2\\\\9.8(1.226-0.126)=\dfrac{1}{2}v_2^2\\\\v_2=4.64\:m/s[/tex]
Help Me With This Question Please.
Thank you UwU
8Ω, 9Ω, xΩ are in series
[tex] \therefore \: R _{1} = 8 + 9 + x = (17 + x)Ω[/tex]
3Ω and 5Ω are in series
[tex] \therefore \: R _{2} = 3+ 5 = 8Ω[/tex]
Now equivalent resistance of R1 and R2 which are parallel in R3 = 6Ω
[See The Attachment]
[tex] \therefore \frac{1}{R _{3}} = \frac{1}{R _{1}} + \frac{1}{R _{2}} \\ \\ \therefore \: \frac{1}{6} = \frac{1}{(17 + x)} + \frac{1}{8} \\ \\ = \frac{1}{17 + x} = \frac{1}{6} - \frac{1}{8} = \frac{1}{24} \\ \\ \therefore17 + x = 24 \\ x = 24 - 17 = 7 \\ x = 7Ω[/tex]
Hope This Helps!!
The value of the resistance X is 7 ohms.
Equivalent resistance in seriesThe equivalent resistance in series is calculated as follows;
R₁ = 8 + 9 + x = 17 + x
R₂ = 3 + 5 = 8
Equivalent resistance in the circuitThe equivalent resistance in the circuit is calculated as follows;
[tex]\frac{1}{R} = \frac{1}{R_1}+ \frac{1}{R_2} \\\\R = \frac{R_1 R_2}{R_1 + R_2} \\\\[/tex]
[tex]R(R_1 + R_2 ) = R_1 R_2[/tex]
6(17 + x + 8) = 8(17 + x)
150 + 6x = 136 + 8x
14 = 2x
x = 7
Thus, the value of the resistance X is 7 ohms.
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What are some of the major pieces of evidence for the theory of plate tectonics? How does the theory explain these observations?
Answer:
evidence:
- fossils found in different parts of the world were the same
- weather patterns in different parts of the world
- mountain ranged with the same rock types, structures, and ages are now on opposite sides of the atlantic ocean
- coal was found in cold climates where it could not have formed
-scratches from glaciers were found in a desert
- continents fit like a puzzle
- identical rocks of the same type and age found on both sides of the atlantic ocean
How many feet up high should I be required to wear a harness?
Answer:
About 6 feet or higher is recommended.
Explanation
how do i explain why two balls have the same velocity if they are rolling down the same slope but they started in different positions?
Answer:
When two balls are equally weighted, no matter where they are placed on a ramp, they will travel at the same speed. One will just reach the ground quicker.
Explanation:
A baseball with mass of 0.145 kg is thrown straight down at the ground. At a particular speed, it has a drag force of 0.4 N acting on it. What is its acceleration at that time?
Answer Choices:
−2.8 m/s2
−9.8 m/s2
−12.6 m/s2
−7.0 m/s2
Answer:
It is -7.0 m/s2
Explanation:
Just did it
A baseball of mass 0.145 kg is thrown with the force of 0.4 N then the acceleration of the baseball will be equal to 2.8 m/s².
What is acceleration?The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.
As per the instructions given in the question,
Force, f = 0.4 N
Mass, m = 0.145 kg
F = ma
a = f/m
a = 0.4/0.145
a = 2.8 m/s².
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A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3 × 103 N/m. The block slides down the ramp and compresses the spring.
Required:
Find the maximum compression of the spring.
The maximum compression of the spring is 0.146 m.
Work Energy theorem
The work done by the block when it slides down the ramp will be converted to elastic potential energy of the spring.
W = U
Fd = U
where;
F is the horizontal component of the block weightmgsin(θ) x d = ¹/₂kA²
[tex]A^2 = \frac{2mg sin(\theta)d}{k} \\\\A = \sqrt{\frac{2mg sin(\theta)d}{k}} \\\\A = \sqrt{\frac{2(5 \times 9.8) sin(30)\times 1.3}{3\times 10^3}}\\\\A = 0.146 \ m[/tex]
Thus, the maximum compression of the spring is 0.146 m.
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Ben and Dan both weigh 600 N. They are doing pull-ups together. Each pull-up is 0.5 meters of distance. How much work do they each do for every pull-up? 300 J 600 J 1200 J 1500 J
Answer:
300 J
Explanation:
Work = (Force)*(distance) = 600 N ∗ 0.5 m = 300 J
As a boy pulls a sled carrying his sister, he exerts a force of 2.6 lbs.at an angle of 30 degrees with the ground. How much work does he do if he pulls her at a constant speed for exactly one-half mile (2640 ft)?
The amount of work done by the boy in pulling the sled is 8064.41 J
Definition of work doneWorkdone is defined as the product of force and distance moved in the direction of the force. It can be expressed mathematically as:
Workdone (Wd) = force (F) × distance (d)
Wd = Fd
Considering angle projection,
Wd = FdCosθ
How to determine the workdone Force (F) = 2.6 lb = 2.6 × 4.448 = 11.5648 NDistance (d) = 2640 ft = 2640 × 0.305 = 805.2 mAngle (θ) = 30°Workdone (Wd) =?Wd = FdCosθ
Wd = 11.5648 × 805.2 × Cos 30
Wd = 8064.41 J
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What is the magnitude of the electric field strength at a position that is 1.2 m from a point charge of 4.2 \times 10^{-6} \mathrm{C}4.2×10
−6C?
Answer:
lil durk a goat
Explanation:
Identify the region of the electromagnetic spectrum where the wavelength measurement of 7.5 nm can be found.
We have that the electromagnetic spectrum where the wavelength measurement is 7.5 nm is the X-ray
X-ray
Option D
Question Parameters:
the wavelength measurement of 7.5 nm can be found
Generally, gamma rays has its wavelength around 10pm.
The microwaves has its wavelength around 1cm.
The ultraviolet has its wavelength around the 400nm.
The range of the X-rays is between to 5nm to 10nm.
Hence,the electromagnetic spectrum where the wavelength measurement is 7.5 nm is the X-ray
X-ray
Option D
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CQ
Identify the region of the electromagnetic spectrum where the wavelength measurement of 7.5 nm can be found.
A) Gamma rays
B) Microwaves
C) Ultraviolet
D) X-rays
E) Visible light
what is an example of friction on an object in motion?
Answer:
Friction drag force causes objects to slow down as they move through a fluid, such as air or water. ... As an object's speed increases, the drag force from the fluid increases exponentially. • For example, when you drive at high speeds, the frictional force of air on the car increases, and fuel economy decreases.
If you are driving 80 km/h along a straight road and you look to the side for 2.1 s , how far do you travel during this inattentive period?
helphelphelphelphelphelphelphelp
Answer:
a is slower
b is constant
c is faster
A cannonball is shot (from ground level) with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 30 m/s. What's the maximum height reached by the cannonball
Answer:
maximum height = 46m
Explanation:
Vx = 20m/s
Vy = 30 m/s
gravity = 9.8 m/s/s
final velocity = initial velocity - gravity • time
0 = 30m/s - 9.8m/s/s • time
subtract 30m/s from both sides
-30m/s = - 9.8m/s/s • time
divide both sides by -9.8m/s/s
3.06 s = time
height = initial velocity • time - 1/2 • gravity • time^2
height = 30m/s • 3.06s - 1/2 • 9.8m/s/s • 3.06s ^2
height = 46m
the maximum height is equal to 46m
A pump lifts water into an overhead tank at a height of 12m at a rate of 5kg/s,what is the power in the pump?
Answer:
600 watts
Explanation:
A wooden supply raft is 2 m wide, 3 m long and 0.200 m deep. The raft and it’s occupants have mass of 700 kg. How deep will the sink below the water when floating?
58.3% of the raft will sink below the water when floating.
Volume of the raftThe volume of the raft is calculated as follows;
V = Lbh
V = 2 x 3 x 0.2
V = 1.2 m³
Density of the raftThe density of the raft is calculated as follows;
ρ = m/v
where;
m is the mass = 700 kgv is the volume = 1.2 m³[tex]\rho = \frac{700}{1.2} \\\\\rho = 583.33 \ kg/m^3[/tex]
Fraction of the raft below the water[tex]f = \frac{\rho\ _{raft}}{\rho \ _{water}} \times 100\%\\\\f = \frac{583.33}{1000} \times 100\%\\\\f = 58.3 \%[/tex]
Thus, 58.3% of the raft will sink below the water when floating.
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What happens to an object’s momentum if its mass is reduced by half but its velocity remains the same?
If the mass of an object is halved and its velocity remains the same, its momentum will be halved.
What is momentum?Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
We can calculate the momentum of an object using the following expression.
p = m × v
where,
p is the momentum.m is the mass.v is the velocity.The initial momentum of the object is:
p₁ = m₁ × v₁
If its mass is reduced by half but its velocity remains the same, the new momentum is:
p₂ = m₂ × v₁ = 0.5 m₁ × v₁ = 0.5 p₁
If the mass of an object is halved and its velocity remains the same, its momentum will be halved.
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- At time t = 0, a small ball is projected vertically upwards from a point A which is 24.5 m above the ground. The ball first comes to instantaneous rest at the point B, where AB = 19.6 m and first hits the ground at time t = T seconds. = The ball is modelled as a particle moving freely under gravity. (a) Find the value of T.
The value of time needed to complete the upward and the downward motion is, T=5sec .T is the time at which the ball first hits the ground.
What is the time period?The time period is found as the ratio of the displacement and the velocity. Its unit is second and denoted by t
The given data in the problem is;
The time required to move upwards is,t₁
The time required to move downwards is,t₂
The distance traveled is,s= 19.6m
The gravitational acceleration is, g=9.81 m/s
At the highest position, the velocity of the ball is zero;
The time required to move upwards is found as;
[tex]\rm S_1 = ut + \frac{1}{2} at^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_1^2 \\\\ t_1= \sqrt{\frac{2S_1}{g} } \\\\ t_1= \sqrt{\frac{2 \times 19.6 }{9.81} } \\\\ t_1= 2 \ sec[/tex]
The time required to move downward is found as;
[tex]\rm S_2 = ut + \frac{1}{2} at_2^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_2^2 \\\\ t_2= \sqrt{\frac{2S_2}{g} } \\\\ t_2= \sqrt{\frac{2 \times 44.1 }{9.81} } \\\\ t_2= 3 \ sec[/tex]
The total time period is the sum of the time required to move upwards and the time required to move downwards.
T =t₁+t₂
T=2+3
T=5 sec
Hence the value of T will be 5 sec.
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1. One light goes out, they all go out
correct answer:✅series
Voltage and current are directly related
wrong answers: no circuits and parallel
hint:More voltage from the battery pushes more current through.
resistance and current are directly related
wrong answers: all circuits and parallel
hint: If you have more resistance in a circuit, does the current go up? That's what would happen if they were directly related.
Voltage and resistance are unrelated
correct answer:✅all circuits
answer choices are series, parallel, all circuits, and no circuits
2.Which will make the electromagnet weaker?
correct answer:Unwrapping some of the coils.
3.Why do gases exert more pressure or increase their volume when the temperature is raised?
correct answer:At higher temperatures, the particles of a gas move faster. This increase in kinetic energy can increase the pressure and / or the volume of the gas.
hint: A few reminders of definitions from last semester:
Kinetic energy is the energy of motion.
Temperature is the average kinetic energy of the particles in a sample.
For a gas:
Temperature and pressure are directly related.
Temperature and volume are directly related.
Pressure and volume are inversely related.
4.Which group naturally achieves the octet rule without gaining or losing electrons?
correct answer:Noble gases
5.Label each as a physical or chemical property/change.
Shiny -✅physical
electrolyte -✅physical
highly reactive -✅chemical
In the presence of oxygen, will form carbon dioxide and water -✅chemical
maellable -✅physical
rusts -✅chemical
acid rain erodes statues and monuments -✅chemical
6.Which statement is true about the groups on the periodic table?
correct answer:The halogens have 7 valence electrons and form -1 ions.
7. Match the word to its definition.
the stuff that gets dissolved in a solution -✅solute
the stuff that does the dissolving in a solution -✅solvent
this determines the amplitude of a wave - ✅energy
the change in frequency of a wave as the object that is producing it moves towards or away from you -✅Doppler Effect
The material that a wave moves through-✅medium
Wave whose matter vibrates perpendicular to the direction the wave travels -✅ transverse
An atom of an element that has a specific number or neutrons, such as Carbon-14. -✅isotope
8.Check all true statements about the dog as it runs the obstacle course.
✅If the dog has the highest average speed, he will win the race.
✅A heavier dog will have a harder time changing direction on the course because it has more inertia than the small dog.
✅As the dog turns, his velocity changes as he changes direction.
( I got a 2.4 out of 4 on this questions, the other options were)
Whenever the dog speeds up, slows down, or changes direction, he is accelerating.
The dog's speed is constant throughout the race.
The weight of the dog will be the same if the competition was held on the moon.
If the doe can double his net force on an obstacle, his acceleration will be cut in half.
The mass of the dog will be the same if you take him to the international space station.
the wrong answer was❌The dog's velocity is constant throughout the race. because the speed and direction changed throughout, the velocity is not constant.
9.Match each atom with the correct element it represents. Make sure you are using your periodic table (Links to an external site.)
✅ Beryllium
✅ Lithium
✅ Helium
✅ Carbon
(image below is for question 9)
Explanation:
ndndndndnndndndndndndndnndndnd
Answer:
teysyshnk
Explanation:
Х
In which layer of
the soil do we
usually find
loam? to. Topsoil
b. Parent Soil c.
Bedrock d.
ground-soil
Answer:
A. topsoil the answer
Explanation:
I think its a correct answer
24. An elevator is moving vertically up with an acceleration a. The force exerted on the floor by a passenger of mass m is
(a) mg (b) ma (c) mg - ma (e) none of these (d) mg + ma
Given :-
An elevator is moving vertically up with an acceleration a.To Find :-
The force exerted on the floor by a passenger of mass m .Solution :-
As the man is in a accelerated frame that is non inertial frame , we would have to think of a pseudo force .
The direction of this force is opposite to the direction of acceleration the frame and its magnitude is equal to the product of mass of the concerned body with the acceleration of the frame .For the FBD refer to the attachment . From that ,
[tex] \implies Weight_{apparent}= mg + ma [/tex]
Hence option d is correct choice .
I hope this helps .
A ball is dropped from the top of a building.
When does the ball have the least potential energy?
O after it has hit the ground
O half way through the fall
O as it is released
O just before it hits the ground
Answer:
after it has hit the ground
.........
Answer: A. after it has hit the ground
Activity A:
Surviving a crash
Get the Gizmo ready
• Click Reset (?).
. On the DESIGN tab, check that Sedan is selected
Introduction: Modern vehicles contain features designed to keep passengers safe in a crash.
The crumple zone in the front of the car slows the car gradually and increases stopping time.
The safety cell is a rigid cage that prevents passengers from being crushed. Inside, seat belts
and airbags prevent the driver from hitting the windshield, steering wheel, or dashboard.
Question: How does a crumple zone help protect a passenger?
1
Make a hypothesis: On the DESIGN tab, look at the parameters you can control. What
settings do you think will make the safest car? Set up the Gizmo, and then fill in below.
Crumple zone length:
Crumple zone rigidity:
Safety cell rigidity:
Seat belt present?
If present, seat belt stiffness:
Air bag present?
If present, air bag rigidity:
The crumple zone help protect a passenger from injury by converting some of the kinetic energy possessed by the car into a controlled deformation, or crumpling when there is a crash.
What is impact?The term impact refers to a large force that acts for a short time. Passengers in a vehicles sustain injuries after an accident due to the high impact of the crash.
As such, the crumple zone help protect a passenger from injury by converting some of the kinetic energy possessed by the car into a controlled deformation, or crumpling when there is a crash.
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Electric wires in between the poles are seen stretched in winter. Give Reason?
Electric wires/cables expand when temperature rises l
if i release one steel ball from the top of a ramp and the other ball from the 40cm mark will they have the same acceleration?
Answer:
Yes, they will also have the same acceleration. Acceleration is controlled by the amount of weight (def. amount of gravitational pull on a given object) that the ball has. For one ball to accelerate quicker than the other, it would need a propulsion element, which it does not.
Explanation:
Question 14 (1 point)
One star has a temperature of 20,000 K and another star has a temperature of 8,000
K. Compared to the cooler star, how much more energy per second (how many times
more energy) will the hotter star radiate from each square meter of its surface?
We have that the more energy per second to radiated by the hotter is mathematically given as
Energy per second=256
Energy per second to radiated
Question Parameters:
One star has a temperature of 20,000 K
and another star has a temperature of 8,000
Generally the equation for the Energy per second is mathematically given as
Energy per second is Proportional to T^4
Where
T=20000/8000
T=4
therefore
Energy per second=4^4
Energy per second=256
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The volume
of this ice
would be
considered
what type of
property?
A. a chemical property
B. a rare property
C. a physical property
D. an undetermined property
Another elephant pushes with 3500 N on a load of trees. It then pushes these trees for 225 m. How much work did he elephant do?
Answer:
787, 500 N/m
Explanation:
Work = Force • displacement
[tex]Work = (3500 N)(225 m) = 787500\frac{N}{m}[/tex]
[tex]W = (3500 N)(225 m) = 787500\frac{N}{m}[/tex]
2. How are the speed, wavelength, and frequency of a wave related
Answer:
speed = wavelength * frequency
Explanation:
speed = wavelength * frequency