The initial velocity of the sled will be 7.34 m/sec. V is the initial velocity of the sled.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
(m₁) mass of child = 38 kg
(u₁) is the initial velocity child = 2.2 m/s
(m₂) is the mass of sled = 68 kg
(u₂) is the initial velocity of sled = ?
(v) is the velocity after collision = 5.5 m/s
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\(38 \times 2.2) + (68 \times V) = 5.5 \times (38+68) \\\\ 83.6 + 68V = 5.5 \times 106 \\\\ 83.6 + 68V =583 \\\\ \rm 68\ V= 583 -83.6 \\\\ \rm 68 \ V= 499.4\\\\ V= 7.34 \ m/sec[/tex]
Hence,the initial velocity of the sled will be 7.34 m/sec.
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Shyam saw a cylindrical copper rod in his store room he realise that it can be used for various purposes it can be used as a flower ways by covering it one side face with any metal it can be used as a conductor or it can be used as a cylindrical box by covering both the side face with metal he measure the radius of the rod with 3% and length of rod with 7% error error percentage is measuring the volume of the cylinderical box is
The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %
Error percentage in measuring the volume of the cylinder
The total error percentage in measuring the volume of the cylinder is calculated as follows;
Volume of cylinder = πr²h
Volume of cylinder = π(0.03r)²(0.07h)
Volume of cylinder = (6.3 x 10⁻⁵)πr²h
Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %
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A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.
required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?
(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².
(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.
Moment of inertia of the triangular sign
The moment of inertia of the sign for rotation about the side of length h is calculated as follows;
I = 2 x ¹/₃M(b/2)²
I = 2 x ¹/₃Mb² x ¹/₄
I = ¹/₆Mb²
I = ¹/₆ x 4.4 x 1.3²
I = 1.24 kgm²
Rotational kinetic energy of the ballK.E(rot) = ¹/₂Iω²
where;
ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/sK.E(rot) = ¹/₂(1.24)(15.1)²
K.E(rot) = 141.37 J
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You are working with an existing fiber optic installation in your building. you want to know the length of each cable that runs through the walls.which tool should you use
Answer:
you will use the OTDR tool ti will very much so help
Explanation:
Throughout the spring and summer, trees take nutrients
from the soil. these nutrients are spread throughout the
tree. in the autumn, some of these nutrients are lost
when the tree drops its leaves.
in a young, rapidly growing forest, scientists calculated
that 23 kilograms of a nutrient are taken up from the soil
by the trees in one year. in the autumn, the leaves that
fall contain 21 kilograms of the nutrient.
18 the trees can be considered a subsystem of the
larger ecosystem. if there are no other inputs or outputs from the trees, how much of the nutrient
is added to the tree subsystem (stored in the trees) in this year?
a. 2 kg
b. 21 kg
c. 23 kg
d. not enough information is available to determine.
(help!!!!) science
The amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.
What are plant nutrients?Plants nutrients are the mineral elements required by plants for their growth and development.
Plant nutrients are mostly obtained from the soil as well as from the atmosphere.
Based on the data provided, each tree will absorb 23 - 21 Kg nutrients = 2 kg of nutrients
18 trees will absorb 18 × 2 = 36 Kg of nutrients.
Therefore, the amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.
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Which of the following would have the smallest coefficient of kinetic friction when slid along your hang.
a Bar of Soap
carpet
sand paper
A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South
When the student the sled jumps off toward the north , the sled most likely move towards the south.
What is the Newton third law?According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.
As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.
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Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?
Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.
How to determine the more expensive?Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:
Energy consumption = power × time
For the electric saw, we have:
Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,200 × 20
Energy consumption = 24,000 Joules.
For the electric sander, we have:
Power = 1000 Watts.Time = half-hour = 30 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,000 × 30
Energy consumption = 30,000 Joules.
Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.
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Answer: sanding
Explanation:
Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.
Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.
The sander uses more energy.
Which arrow represents the change of state described
above?
M
N
P
Q
Answer: The Q arrow
Explanation: when the solid is heated it changes into a liquid state first this action represented the Q arrow
Answer:
Its D
Explanation:
Bc i got it right on edge
can anyone solve this quick?
Answer:
yes
Explanation:
First show me your or
The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
O The speed of the light wave will decrease
The wavelength of the light wave will remain the same.
O The speed of the light wave will remain the same.
Mark this and return
Save and Exit
Next
Answer:
The speed of the wave will decrease (due to a shorter wavelength after passing from air to a more dense medium)
An engineer who is helping to design a tall building is studying the frequencies that seismic waves travel through the ground that the building will be built on. Why would she want to know about the frequencies of seismic waves?
The frequencies of seismic waves will check if the presence of the waves have made buildings with weak foundations to be prone to destruction.
What is Frequency?This is defined as the number of occurrences of a repeating event per unit of time and the unit is hertz.
Knowing the frequency of the seismic wave is a good safety precaution which has to be taken to prevent loss of lives and properties.
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Answer:
If a seismic wave has the same frequency as the resonance of a building, the risk of damage is greatest.
Explanation:
A 4.0-W resistor, an 8.0-W resistor, and a 10.0-W resistor are connected in series across an 11-V battery. What is the total voltage drop across the 4.0-W and 8.0-W resistors?
A parallel-plate capacitor is connected to a battery. After it becomes charged, the capacitor is disconnected from the battery and the plate separation is increased. What happens to the potential difference between the plates
Answer:
V = E * d voltage equals charge on plates * separation
F = E q force on charge q equals electric field * charge
W = F * d work done equals force times the distance moved
From the very first equation, the voltage depends on the distance between the plates - while the electric field remains constant
The potential difference will decrease as the separation of the plates increases because W remains constant - work done in moving test charge from one plate to another is constant - voltage is constant
Direction:choose only the letter of your answer in the box.
A-Everyday
B-4-6 Times a week
C-2-3 Times a week
D-cut Down on
Answer:
A,
Explanation:
im going to choose a because they should probably still water it so it doesn’t die at least until it grows or gets a little bigger.
Struggling with this, pls answer:( Brainliest to the (FIRST) right answer
Answer:
c. a and c
Explanation:
ammeters are connected in series to measure charge/current
Where do the three rays in a ray diagram start?
at a focal point on the opposite side of the lens
at three different points on the object
at a focal point on the same side of the lens
at a single point on the object
The three rays in a ray diagram start from a single point on the object.
What is focal point of a lens?The focal point of a lens is the point where light rays parallel to the axis are brought to a point.
The focal point is responsible for the converging of light rays coming from the object but the rays do not start here.
Thus, the three rays in a ray diagram start from a single point on the object.
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Answer:
D
Explanation:
How does chemical bonding work?
Answer:
A chemical bond is a force of attraction between atoms or ions. Bonds form when atoms share or transfer valence electrons. Valence electrons are the electrons in the outer energy level of an atom that may be involved in chemical interactions. Valence electrons are the basis of all chemical bonds.
can someone do this for me please?! Just the answer pls
4. The answer is that you will see the same sights as when you are resting. That is because you and mirror are in rest one relative another. If your relative speed is 0, it doesn't matter how quickly you both travel in relation to other objects.
5. The relativistic effects will not alter if the speed of light is reduced to 50m/s. According to the principle of constancy (2nd postulate), the upper limit of speed is 50m/s, which will be impossible for material objects to achieve because as the speed of light decreases, the sizes of humans and all other materials decrease as well, decreasing our relativistic velocity and thus making c=50m/s unattainable for material objects, and thus the relativistic effects will remain unchanged. A pedestrian must use caution when crossing the roadway. Let's assume you see a car arriving at 60 kilometers per hour, or 16.666 meters per second, from a distance of 100 meters. It'll take 6 seconds to arrive, giving you plenty of time to cross the street. Because the light reflected from the car to your eyes left the car two seconds ago, the car will reach at your location in four seconds and hit you (if the car is travelling in the lane on the far side of the road). It looks to you that approaching automobiles traveling at the legal limit are traveling at a speed of 100 / 4 = 25 m/s, which is 50% faster than the genuine speed of 16.666 m/s. When considering whether or not it is safe to cross the road, one would quickly become accustomed to this.
6.
4. if the experiment had been repeated with frequencies 10 times lower than those in table 5.2,
what effect would that have on the experiment? (1)
If the experiment had been repeated with frequencies 10 times lower than those in table 5.2, then Vc will increase 10 times to the values given in the table.
What is frequency?It is the number of oscillations per second of the sinusoidal wave.
Vc is the voltage across the capacitor and Xc is the capacitive reactance.
Xc = - 1/2πfC
where f is the frequency and C is the capacitance of the capacitor.
If the frequency is lowered, the potential difference will increase because frequency is inversely proportional to the voltage.
Thus, Vc will increase by lowering the frequency by 10 times.
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Which two statements are true of electromagnetic waves?
Answer:
I think it is A and D
Explanation:
When electricity is “used” or we say that energy is “wasted,” what is actually happening?
Answer:
Wasted energy is energy that is not usefully transferred or transformed. Energy cannot be made or destroyed. Energy is transformed into a different form that can be used. When energy is transformed or transferred only part of it can be usefully transformed or transferred.
The distance between a charge and the source of an electric field changes from 3 mm to 6 mm. as a result of the change, the electric potential energy of the charge is .
The electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
What is electric potential energy?Electric potential energy can be defined as the energy needed to move a charge against an electric field.
It is calculated using the formula;
U = Kq1 q2 ÷ r
Where Q = electric potential energy
k = Coulombs constant
q1 and q2 = charges
r = distance of separation
Electric potential energy is inversely proportional to the distance of separation of the charges.
If the distance of the charges changes from 3mm to 6mm, then the electric potential energy of the charges is reduced because it decreases with increase in the distance of the charges.
Therefore, the electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
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Answer: B
Explanation: divided by 2
as the moon phase approaches full we say the Moon is doing what
As the moon phase approaches full we say the Moon has now completed one half of the lunar month.
What is Lunar month?This is defined as the time it takes the Moon to pass through all of the phases.
When the moon approaches full then itn has completed one half of the lunar month which is the time taken to form a new moon.
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In the reaction below, how would adding more of product C affect the equilibrium of the system? (2 points) A + B ⇄ C + D Group of answer choices Shift it to the right toward the products. Shift it to the left toward the reactants. Equally create more products and reactants. It would have no effect.
Answer:
identify the action reaction force in the following cases
a boy walking on the ground
firing a bullet from the gun
a book lying on the table
a boy swimming in the swimming pool
launching of a rocket from the earth surface
Answer:
A Shift it to the right towards the products
Explanation:
If more reactants or products are added to a reaction system at equilibrium, the equilibrium will shift away from what was added to lower its concentration. If a reactant or product was removed from a reaction system at equilibrium, the equilibrium systems will shift to replace some of what was removed.
An engineer is working to design a bouncy ball that conserves all of its kinetic and potential energy. She drops the ball to the ground from a height of 3 meters. If it really works, how high should the ball bounce
If potential energy is conserved or remain the same, the ball will bounce 3 m high.
Conservation of energyThe principle of conservation of energy states energy can neither be created nor destroyed but can be converted from one form to another.
If we apply the principle of conservation of energy, the total potential energy will remain the same.
P.E(initial) = P.E(final)
Thus, If potential energy is conserved or remain the same, the ball will bounce 3 m high.
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on which factor potential energy depends?
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{what \: is \: potential \: energy}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Potential energy: A type of energy which is possessed by an object due its position.
Example: A raised weight or when we raise any weight is a potential energy.
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{on \: which \: factor \: potential \: energy \: depends}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Potential energy depends upon three factors. They are:
Mass of an object. Height of an object. Gravitational force upon an object.[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]
Just the answer (PLSS)
What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his “miracle year”?
The miracle year for Albert Einstein was the year 1905 within which he published so many renowned papers.
When was Einstein miracle year?The miracle year for Albert Einstein was the year 1905 within which he published so many renowned papers in a short time and became very popular.
His mindset in that year was one that challenged the orthodox explanations and sought to think outside the box.
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What conclusions can you draw about how objects can exert forces on each other even when they are not in contact? write an evidence-based claim
The conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.
What is a non contact force?A non contact force is a type that occurs when two objects that are not in contact exerts force on each other.
This type of force is possible because of gravitational force of Earth.
Thus, the conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.
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a car takes 125 ft to brake from 60 to 0 mph. Assume that the acceleration of the Prius is constant while braking. Find how long it takes for the Prius to come to a stop. Long problems begin on the next page
Answer:
2.84 seconds
Explanation:
t = ?
distance = 125
Velocity origianal = 60 m/hr = 88 ft/s
AVERAGE velocity = 88/2 = 44 ft/s
44 t = 125
t = 125/44 = 2.84 s
A 20 gram bullet exits the rifle at a speed of 985 m/s. the gun barrel is 0.8 m long. what
was the force during the rocket's launch?
Hello!
We can use the following relationship:
[tex]\Delta KE = W = F \cdot d[/tex]
ΔKE = Change in Kinetic Energy (J)
W = Work done on object (J)
F = Force (N)
d = distance of which the force is applied to the object. (This is equivalent to the length of the gun barrel, or 0.8 m)
Also, recall that:
[tex]KE = \frac{1}{2}mv^2[/tex]
m = mass of bullet (0.02 kg)
v = velocity of bullet (vfinal = 985 m/s, vinitial = 0 m/s)
We can now solve.
[tex]\Delta KE = F \cdot d\\\\KE_f - KE_i = F \cdot d\\\\\frac{1}{2}(0.02)(985^2) - \frac{1}{2}(0.02)(0^2) = (0.8)F\\\\9702.25 = 0.8F\\\\F = \frac{9702.25}{0.8} = \boxed{12127.813 N}[/tex]