The velocity at the bottom of the swing is [tex]\mathbf{v= \sqrt{2gh -2gd}}[/tex]. The time it took the child to reach the river is 0.62 seconds.
The objective of this question is to determine:
The expression for the velocity of the child at the bottom of the swing.Suppose the child lets go at the bottom of the swing, how long does she take to reach the river at t seconds.At the bottom of the swing, there is an equal change in both the Kinetic energy as well as the potential energy and the expression can be computed as:
[tex]\mathbf{\dfrac{1}{2}mv^2 = mg (h -d)}[/tex]
[tex]\mathbf{\dfrac{v^2}{2}= g (h -d)}[/tex]
[tex]\mathbf{v^2= 2gh -2gd}[/tex]
[tex]\mathbf{v= \sqrt{2gh -2gd}}[/tex]
According to the second equation of motion;
[tex]\mathbf{S = ut +\dfrac{1}{2}at^2}[/tex]
where;
distance s = d = 1.9 macceleration due to gravity = 9.8 m/s²initial velocity (u) = 0∴
[tex]\mathbf{1.9 = 0(t) +\dfrac{1}{2}(9.8) t^2}[/tex]
[tex]\mathbf{1.9 = \dfrac{1}{2}(9.8) t^2}[/tex]
[tex]\mathbf{t^2 =\dfrac{1.9\times 2}{9.8} }}[/tex]
[tex]\mathbf{t = \sqrt{\dfrac{1.9\times2}{9.8}}}[/tex]
[tex]\mathbf{t =0.62 \ s}[/tex]
Therefore, we can conclude that the velocity at the bottom of the swing is [tex]\mathbf{v= \sqrt{2gh -2gd}}[/tex]. The time it took the child to reach the river is 0.62 seconds.
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A moving object is in equilibrium. Which best describes the motion of the object if no forces change?
It will change directions.
It will slow down and stop.
It will maintain its state of motion.
It will speed up and then slow down.
Answer:
it is It will maintain its state of motion. because of newtons law states that any object in morion will stay in motion unless acted upon another force pushing against it
Explanation:
Answer:
It will maintain its state of motion.
Explanation:
A girl pushes her little brother on his sled with a force of 300 N for 750 m.
How much work is this? _______________
How much energy is used?__________
How much power does she use if it takes her 25s?_________
How much power does she use if she runs and complete the 750m in 10s?________
Answer:
W = F× d
= 300×750
= 225000
E = 225000
P = 300×750/25 = 9000
P = 300× 750/10 = 22500
A spring has a spring constant of 150N/m
Calculate:
The mass in grams which must be hung from the spring in order to extend it by 0.1 m
Answer:
15N
Explanation:
mass=w/g 150N/m×0.1m
Ans=15N
Answer:
Both springs have a constant of 25Nm and the block is motionless. If the bottom spring is compressed 0.4m past its equilibrium and the block has a mass of 3kg, how far is the top spring stretched past its equilibrium?
g=10ms2
Possible Answers:
1.0m
0.8m
0.2m
0.4m
0.6m
Correct answer:
0.8m
Explanation:
Since the block is motionless, we know that our forces will cancel out:
Fnet=0
There are three forces in play: one from each spring, as well as the force of gravity. If we assume that forces pointing up are positive, we can write:
Fspring,top+Fspring,bot−mg=0
Plugging in expressions for each spring force, we get:
kxtop+kxbot−mg=0
Rearring for the displacement of the top spring, we get:
xtop=mg−kxbotk=(3kg)(10ms2)−(25Nm)(0.4m)25Nm
xtop=30N−10N25Nm=0.8m
Describe the steps in solving the problem below.
A red cart of mass 4 kg slides to the right on a frictionless track with a velocity of +4 m/s. It collides with the stationary blue cart of mass 1 kg. After the collision, the blue cart has a velocity of +8 m/s. Calculate the velocity of the red cart after the collision. ;)
The velocity of the red cart after the collision is 2 m/s
From the law of conservation of momentum, initial momentum of system = final momentum of system.
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄ where m₁ = mass of red cart = 4 kg, v₁ = velocity of red cart before collision = + 4 m/s, v₃ = velocity of red cart after collision, m₂ = mass of blue cart = 1 kg, v₂ = velocity of blue cart before collision = 0 m/s (since it is initially at rest) and v₄ = velocity of blue cart after collision = + 8 m/s.
Substituting the values of the variables into the equation, we have,
m₁v₁ + m₂v₂ = m₁v₃ + m₂v₄
4 kg × 4 m/s + 1 kg × 0 m/s = 4v₃ + 1 kg × 8 m/s
16 kgm/s + 0 kgm/s = 4v₃ + 8 kgm/s
16 kgm/s = 4v₃ + 8 kgm/s
16 kgm/s - 8 kgm/s = (4 kg)v₃
(4 kg)v₃ = 8 kgm/s
Divide both sides by 4 kg, we have
v₃ = 8 kgm/s ÷ 4 kg
v₃ = 2 m/s
The velocity of the red cart after the collision is 2 m/s.
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At about 1 second after the beginning of the universe, one type of particle was able to start traveling freely through the universe. These particles are still with us, but they are extremely hard to detect. They are called:
The Big Bang theory allows finding the result for which particles were formed in the 1 s of the universe is:
The quark subatomic particles were the first to form due to the high amount of energy.
The Big Bang theory says that the universe is formed about 14 billion years ago, of a structure that is very high energy.
Einstein's equation establishes the relationship between energy and matter, establishing that energy can be converted into matter.
E = m c²
Where E is energy, m is mass, and c is the speed of light.
In the 1 s of the universe the energy density was so high that all subatomic particles were formed, the first being quarks.
When the universe cooled enough, the quarks combined to form protons and neutrons, from which atoms were formed.
In conclusion, using the Big Bang theory we can find the result for which particles were formed in the 1 s of the universe is:
The quark subatomic particles were the first to form due to the high amount of energy.
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Which of the following statements about lipids and carbohydrates is true?
Answer : Lipids and carbohydrates are both made from carbon, hydrogen, and oxygen, but lipids have less oxygen (Option B)
Carbohydrates are biomolecules composed of carbon (C), hydrogen (H), and oxygen (O) in a 1:2:1 ratio, respectively.
Carbohydrates can be divided regarding the number of monomers in the biomolecule into monosaccharides, disaccharides, and polysaccharides.
Explanation:
hope this answer will helps you !
What is the best reference point for the car that is not in motion
Answer:
A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.
Explanation:
what is the net force on a car moving in a straight line with a constant velocity
Answer:
For example, when a car travels at a constant speed, the driving force from the engine is balanced by resistive forces such as air resistance and friction in the car's moving parts. The resultant force on the car is zero.
Explanation:
hope this helps
Answer:
zero
Explanation:
The acceleration of the car is zero, and and in this case the velocity is also zero. When your car is moving at constant velocity down a street, the net force must also be zero, according to Newton's First Law.
what is the direction of the rotational velocity vector of the jar lid when you open a jar of pickles?
Answer:
Explanation:
The rotational velocity vector is directed away from the jar
A particular roller coaster has a mass of 3500 kg, a height of 4.0 m, and a velocity of 12 m/s. What is the kinetic energy? If needed, use g= 10. m/s^2
Explanation:
given
m=3500kg,h=4.0m,v=12m/s
ke=½mv²
½×3500×12²=3500×144÷2
=252,000j or 252j
dark energy has been hypothesized to solve which problem?
Answer:
The expansion of the universe is accelerating.
Explanation:
A 1.8 kg book has been dropped from the top of the football stadium. Its speed is 4.8 m/s when it is 2.9 meters above the ground.
A). What is its total mechanical energy? (mechanical energy includes kinetic and gravitational potential)
B). What was the total mechanical energy of the book at the instant it was released?
C). How high is the stadium?
Answer:
Answer:
72.936 Joule
Explanation:
Mechanical Energy = Potential Energy + Kinetic Energy
Kinetic Energy = (1/2) x m x V² = (1/2) x 1.8 x 4.8² = 20.736 J
Potential Energy = m x g x h = 1.8 x 10 x 2.9 = 52.2 J
Total Mechanical Energy = 20.736 + 52.2 = 72.936 Joule
Explanation:
what are the three examples that show relation between pressure and area in daily life.
Answer: The area of the edge of a knife's blade is extremely small.
Syringes are used to take blood for blood tests.
When air is sucked out of a drinking straw, the air pressure inside if decreases and the atmospheric pressure outside forces the liquid to go inside the straw.
Explanation:
Lead pellets, each of mass 1.10 g, are heated to 200°C. How many pellets must be added to 536 g of water that is initially at 20.0°C to make the equilibrium temperature 25.0°C? Neglect any energy transfer to or from the container.
The number of lead pellets to be added to the water to achieve the given equilibrium temperature is 451.54.
The given parameters;
mass of each lead pellets, m = 1.10 gtemperature of the lead, = 200 °Cmass of water, = 536 gtemperature of the water, = 25 °Cspecific heat capacity of water = 4.184 J/g°Cspecific heat capacity of lead, = 0.129 J/g°CApply the principle of conservation of energy to determine the number of lead pellets to be added to given water to achieve the given equilibrium temperature.
Heat lost the lead = Heat absorbed by the water
[tex]m_lC_{l} \Delta t_l = m_wC_{w} \Delta t_w\\\\(n\times m)C_{l} \Delta t_l = m_wC_{w} \Delta t_w\\\\n(1.1)(0.129)(200 - 25) = (536)(4.184)(25-20)\\\\24.833n = 11,213.12\\\\n = \frac{11,213.12}{24.833} \\\\n = 451.54 \[/tex]
Thus, the number of lead pellets to be added to the water to achieve the given equilibrium temperature is 451.54.
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in terms of the wavelength of the sound wave, about how far below the open end of the resonance tube is the first resonant position?
The first resonant position below the open end of the resonance tube is; one-quarter of the wavelength
In the event of the first resonant position in a resonance tube, there will be a maximum air displacement which is only one antinode right at the open end where the motion is constrained.
However, there will be no displacement at the closed end which means another one node right at the closed end where air is halted.
This means that the standing wave will have one-quarter of the wavelength in the test tube.
Thus;
L = ¼λ
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Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, stick together and move off after the collision. How does the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision?.
The value of the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision is [tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex].
According to the principle of conservation of linear momentum, the total momentum before and after collision is conversed.
[tex]m_av_a_1 + m_bv_b_1 = v(m_a + m_b)[/tex]
where;
[tex]v_a_1 \ \ and \ \ v_b_1[/tex] are the initial velocity of the cars before collisionv is the final velocity of the cars after collisionsince the train car A is at rest, [tex]v_a _1 = 0[/tex]
[tex]m_bv_b_1 = v(m_a + m_b)[/tex]
The relationship between the final velocity and initial velocity of the cars is given as;
[tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex]
Thus, the value of the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision is [tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex].
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Answer: the answer is the third option. Edge 2021
Explanation: i just answered the problem
Tall trees collapse in stoms, why?
Answer: One main reason, all three experts agree, is the phenomenon known as “windthrow” which uproots a tree. “The tree trunk acts as a lever and so the force applied to the roots and trunk increases with height,” says Foster. “Taller trees are more susceptible to windthrow.”
helppppp T^T
......
plsssss
What does negative acceleration mean.
a block weighing (Fg) 500 N is resting on a steel table ( us=0.74) the minimum force start this block moving is?
The minimum force required to start this block moving is 370 N.
The given parameters;
weight of the block, W = 500 Ncoefficient of static friction, [tex]\mu_s[/tex] = 0.74The minimum force required to start this block moving is calculated as follows;
[tex]F= \mu_s F_n[/tex]
where;
[tex]F_n[/tex] is the normal force on the block which is equal to the weight of the block
[tex]F= \mu_s F_n \\\\F= \mu_s W\\\\F = 0.74 \times 500 \\\\F= 370 \ N[/tex]
Thus, the minimum force required to start this block moving is 370 N.
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Calculate the charge on two identical spheres that are similarly charged if they are separated by 20cm and the electrostatic force between them is 0.006 N.
Answer:
[tex]Q = 21.09 \times 10^{-8} C[/tex]
Explanation:
We know from theory that the magnitude of the force between two charges is measured by the expression
[tex]F=\frac1{4\pi\epsilon} \frac{Qq}{r^2}[/tex]
We know that two spheres have the same charge, and let's assume they're in a vacuum, so [tex]\epsilon = \epsilon_0 =8.85\times10^{-12} C^2/Nm^2[/tex]
At this point we can solve for Q
[tex]Q^2 = 4\pi\epsilon F r^2 = 4\pi \times (8.85 \times 10^-12)\times (6\times 10^-3) \times (2 \times 10^-1)^2 = 444.624 \times 10^{-17} = 4446.24\times 10^-16 C^2 \rightarrow Q = 21.09 \times 10^{-8} C[/tex]
Double check calculations for safety, as usual
Part 1: A flower has 26 chromosomes. To create a new flower, how many chromosomes would a sperm cell have? What is this process called? Part 2: Within a flower cell that has 26 chromosomes, how many chromosomes would a cell that is created within the stem of a flower as it grows, have? What is this process called?
Answer/Explanation:
Part 1: 13 chromosomes.
Reproductive cell, male or female, whose nucleus contains only one chromosome of each pair (they are said to be haploid n = 13) and which unites with the gamete of the opposite sex (fertilization) to give birth to an egg (zygote 2n = 26 ) diploid resulting from the association of the two gametes with each his half of the genetic capital.
2. The process of creating a new flower is called reproduction.
Human reproduction is the process by which a man and a woman engender a new individual. It is a method of sexual reproduction.
Sexual reproduction requires:
Cells carrying parental genes, gametes: eggs and spermatozoa generated by meiosis.The encounter between male and female gametes: fertilization.What generates the energy produced when small light atoms are combined into heavier ones
A. Fusion reactions
B. Chemical reactions
C. Fission reactions
D. Nuclear chain reactions
Answer:
A. Fusion Reactions
Explanation:
Define displacement in your own word
Answer:
Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Explanation:
What is an energy storage device composed of electrochemical cells?
An energy storage device composed of electrochemical cells is referred to as: battery.
A power source can be defined as a source of electrical energy that is used to power all electronic devices.
Generally, a power source can be classified into two (2) main categories and these include:
Alternating current (AC)Direct current (DC)A battery refers to an energy storage device that comprises electrochemical cells and it serve as a source of direct current (DC). Also, sometimes a battery can be recharged when its electrochemical cells are still active.
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Answer:
Battery is an electrical energy storage device consisting of one or more electrochemical cells with external connections that provide power to electrical devices such as flashlights, smartphones, and electric cars.
Without friction, what is the mass of an ball accelerating at 1.8 m/sec2 to which an
an unbalanced force of 42 Newtons has been applied?
A 75.60 kg
B 00.04 kg
C 23.33 kg
D 43.80 kg
Answer:
23.33 kgExplanation:
The mass of the object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{42}{1.8} = 23.3333... \\ [/tex]
We have the final answer as
23.33 kgHope this helps you
Answer:
[tex]\boxed {\boxed {\sf C. \ 23.33 \ kg}}[/tex]
Explanation:
According to Newton's Second Law of Motion, force is the product of mass and acceleration.
[tex]F=ma[/tex]
The mass of the ball is unknown. The ball is accelerating at 1.8 meters per second squared. An unbalanced force of 42 Newtons is applied to the ball.
Convert the units of force. 1 Newton is equal to 1 kilogram meter per second squared, so our answer of 42 Newtons is equal to 42 kg*m/s².
F= 42 kg*m/s² a= 1.8 m/s²Substitute the values into the formula.
[tex]42 \ kg*m/s^1 = m * 1.8 \ m/s^2[/tex]
We are solving for the mass, so we must isolate the variable m. It is being multiplied by 1.8 meters per second squared. The inverse operation of multiplication is division. Divide both sides by 1.8 m/s².
[tex]\frac {42 \ kg*m/s^2}{1.8 \ m/s^2} = \frac{a*1.8 \ m/s^2}{1.8 \ m/s^2}[/tex]
[tex]\frac {42 \ kg*m/s^2}{1.8 \ m/s^2} =m[/tex]
The units of meters per second squared cancel.
[tex]\frac {42 \ kg}{1.8 } =m[/tex]
[tex]23.3333333 \ kg=m[/tex]
Round to the hundredth place. The 3 in the thousandth place tells us to leave the 3 in the hundredth place.
[tex]23.33 \ kg \approx m[/tex]
The mass of the ball is approximately 23.33 kilograms.
Which statement is true about the force of gravity?
A. The moon's gravity pulls the oceans to make tides.
B. The sun has the greatest influence on ocean tides.
C. The moon's gravity pulls the Earth to make tides.
D. The moon's gravity has nothing to do with tides.
Answer:
The moon's gravity pulls the Earth to make tides.
Explanation:
The Moons Gravity Pulls On The Earth With Different Strenght Making High Tide And Low Tide.
Hope This Helps!
t/-15=-3. what is t?
Answer:
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Da 6.0 kg wooden crate slides across a wooden floor
at a speed of 2.4 m/s, it it takes an applica force
of 25 N to keep it going at a steady speed. What is the
coe of kinetic friction between the floor and crate?
Answer:coe?
Explanation:
You throw a can of cranberry sauce straight up in the air with an initial velocity of 12 m/s. What is the maximum height the baseball reaches above your head.
Answer:
Δx=7.35m
Explanation:
This is a free fall problem (g= -9.8 m/s²).
Displacement: ? <--- what you're trying to find (max height)
Initial Velocity: 12 m/s
Final Velocity: 0 m/s <-- since the can will land back in your hands
Time: Missing <-- not needed to solve
Acceleration: -9.8 m/s²
The equation that you will use is vf²=vi²+2aΔx
Now plug the information into the equation!
(0m/s)²=(12m/s)²+2(-9.8m/s²)Δx
Multiply the 2 with the acceleration (-9.8m/s²)
(0m/s)²=(12m/s)²-19.6m/s²Δx
Now you need to square the final and initial velocity
0m/s=144m/s-19.6m/s²Δx
Move 144 to the other side of the equal sign
-144m/s=-19.6m/s²Δx
Divide both sides by -19.6m/s²
7.346m=Δx
You can round it to the tenth or hundreth place, up to you!
For this example, I'll round to the hundredth...
Δx=7.35m
I would double check this answer or review it yourself to see if it's correct.
Good luck with your studies!