Answer:
A
[tex]x = 0.198456 \ m [/tex]
B
[tex]h = 1.3061 \ m [/tex]
C
[tex] v = 5.06 \ m/s [/tex]
D
[tex]d = 4.0273 \ m [/tex]
Explanation:
Considering the first question
From the question we are told that
The spring constant is [tex]k = 32.50 N/m[/tex]
The potential energy is [tex]PE = 0.640 \ J[/tex]
Generally the potential energy stored in spring is mathematically represented as [tex]PE = \frac{1}{2} * k * x^2[/tex]
=> [tex]0.640= \frac{1}{2} * 32.50 * x^2[/tex]
=> [tex]x = \sqrt{0.03938}[/tex]
=> [tex]x = 0.198456 \ m [/tex]
Considering the second question
From the question we are told that
The mass of the dart is m = 0.050 kg
Generally from the law of energy conservation
[tex]PE = mgh[/tex]
=> [tex]0.640 = 0.050 * 9.8 * h[/tex]
=> [tex]h = 1.3061 \ m [/tex]
Considering the third question
The height at which the dart was fired horizontally is [tex]H = 3.90\ m[/tex]
Generally from the law of energy conservation
[tex]PE = KE [/tex]
Here KE is kinetic energy of the dart which is mathematical represented as
[tex]KE = \frac{1}{2} * mv^2[/tex]
=> [tex]0.640 = \frac{1}{2} * 0.050 * v^2 [/tex]
=> [tex] v^2 = 25.6 [/tex]
=> [tex] v = 5.06 \ m/s [/tex]
Considering the fourth question
Generally the total time of flight of the dart is mathematically represented as
[tex]t = \frac{ 2 * H }{g}[/tex]
=> [tex]t = \frac{ 2 * 3.90 }{9.8 }[/tex]
=> [tex]t = 0.7959 \ s [/tex]
Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as
[tex]d = v * t[/tex]
=> [tex]d = 5.06 * 0.7959[/tex]
=> [tex]d = 4.0273 \ m [/tex]
1.99 m/s^2 for the first 60.0 m, then decelerates at -0.266 m/s^2 for the final 40.0 m. How much time did the race take?
Time required to complete 60m:-
[tex]\\ \rm\longmapsto s=1/2at^2[/tex]
[tex]\\ \rm\longmapsto 60=1.99/2t^2[/tex]
[tex]\\ \rm\longmapsto 120=1.99t^2[/tex]
[tex]\\ \rm\longmapsto t^2=60.3[/tex]
[tex]\\ \rm\longmapsto t\approx 7.7s[/tex]
Time taken to complete last 40m
[tex]\\ \rm\longmapsto 80=-0.266t^2[/tex]
[tex]\\ \rm\longmapsto t^2=300.75[/tex]
[tex]\\ \rm\longmapsto t\approx 17.3s[/tex]
Total time:-
7.7+17.3=25s(Approx)Answer:
Explanation:
Two kinematics equation
v = u + at
and
s = ut + 1/2(at^2)
where u is initial velocity, v is final velocity, a is acceleration, t is time and s is displacement.
For the first 60m, initial velocity is 0 and acceleration is 1.99.
60 = 0 + 1/2(1.99)t^2
t^2 = 120/1.99
t = 7.765s
Velocity at 60m = 0 + 1.99(7.765) = 15.453 m/s
For the final 40m, initial velocity = 15.453, acceleration is -0.266.
40 = 15.453t' + 1/2(-0.266)t'^2
0.133t'^2 - 15.453t' + 40 = 0
Using the quadratic formula, t' = 2.649s or 113.54s
The solution of 113.54s represents someone running pass the finish line and continuing the deceleration until one runs backwards to the finish line again. So that solution should be rejected.
The total time taken = 7.765 + 2.649
= 10.414s
Please help!!!!!!!
A tennis racket hits a tennis ball forward by exerting a force of 55 N on the ball.
What force does the ball exert on the tennis racket during the hit?
A. The ball exerts an equal backward force on the racket.
B. The ball is light, so it exerts almost no force on the racket.
C. The ball causes drag on the racket with a small forward force as it flies away.
D. The ball exerts a smaller force that alternates forward and backward to vibrate the racket.
Which event causes the formation of trenches in Earth’s crust?
magma rising
mantle emerging
volcanoes erupting
lithosphere colliding
Answer:
D lithosphere colliding
Reason:
Image result for what causes the formation of trenches in Earth’s crust
Trenches are formed by subduction, a geophysical process in which two or more of Earth's tectonic plates converge and the older, denser plate is pushed beneath the lighter plate and deep into the mantle, causing the seafloor and outermost crust (the lithosphere) to bend and form a steep, V-shaped depression.
The formation of trenches in Earth's crust is caused by the collision of lithospheric plates, so the correct answer is "lithosphere colliding."
What are trenches in Earth's crust?Trenches are long, narrow depressions or canyons in the Earth's crust that form at subduction zones, where one lithospheric plate is forced beneath another plate into the Earth's mantle. Trenches are primarily found on the ocean floor, where they can be several kilometers deep and hundreds of kilometers long.
Trenches are formed by the process of subduction, which occurs when one tectonic plate moves beneath another plate. As the denser plate sinks into the mantle, it creates a deep trench in the ocean floor. This process is associated with volcanic activity, as the sinking plate often triggers the melting of rock in the mantle, which can then rise to the surface and form volcanic islands or arcs.
Trenches are important features of the Earth's crust because they provide evidence for the movement and interaction of tectonic plates over time. Additionally, they are often associated with earthquakes and can serve as warning signs of potential seismic hazards in the surrounding region.
Therefore, lithosphere colliding causes the formation of trenches in Earth’s crust.
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Hello question for JungKookLuver and jguzman577. What’s my favorite color don’t answer! Or you get reported!
Answer: Green!
Explanation: ThankYou bro
1. An express train, traveling at 36 m/s, is accidentally sidetracked onto a local train track. The express engineer spots a local train 100 m ahead on the same track and traveling in the same direction at a constant 11 m/s. The local engineer is unaware of the situation. The express engineer jams on the brakes and slows the express at 3.0 m/s2. (a) To determine whether the trains collide, use kinematics to calculate their positions when the express train stops: i. How much time will it take the express train to stop? ii. In that time, how far will the express train have moved? iii. In that time, how far will the local train have moved? iv. Based on the results of ii. and iii., do the trains collide? Explain.
Answer:
(i) 12 seconds
(ii) 216 meters from the initial position
(iii) 132 meters from the initial position
(iv) No
Explanation:
Speed of express train =36 m/s
Speed of local train =11 m/s
The initial distance between the local train and passenger train =100 m.
Due to the application of breaks, the express train slows at the rare of [tex]3.0 m/s^2.[/tex]
So, the acceleration of the express train, [tex]a=-3 m/s^2[/tex].
(i) Let t be the time the express train takes to stop.
From the equation of motion,
v=u+at
where, v: final velocity, u: initial velocity, a: constant acceleration, t: time taken to change the speed from u to v.
In this case, v=0, u=36 m/s, [tex]a=-3 m/s^2[/tex]
So, 0=36+(-3)t
[tex]\Rightarrow t= 36/3=12[/tex] seconds.
(ii) To compute the distance traveled, s, till the express train stops, using
[tex]v^2=u^2+2as[/tex]
[tex]\Rightarrow 0^2=36^2+2(-3)s[/tex]
[tex]\Rightarrow s=\frac{36\times36}{6}[/tex]
[tex]\Rightarrow s=216[/tex] meters.
(iii) The local train is moving at a speed of 11 m/s
So, in 12 seconds, the distance, d, traveled by the local train
d= 11x12=132 meters [as distance= speed x time]
(iv) Let 0 be the reference position which is the initial position of the express train.
So, at the initial time, the position of the local train is at 100m.
After 12 seconds:
The position of the express train is at 216 m [using part (ii)]
and the position of the local train is at 100+132=232m [using part (iii)].
So, the local train is still ahead of the express train, hence the trains didn't collide.
A lightbulb uses 98 J of electrical energy every second to produce 10 J of light energy in the same time frame. What is the percent efficiency of the lightbulb in converting electricity into light?
Answer:
10.2 % efficiency.
Explanation:
Percent efficiency formula: (output / input) * 100%
The output energy (in Joules) is how much was used eventually. - It is 10 J
The input energy (in Joules) is how much energy was put into the lightbulb initially. It is 98 J
(10 J / 98 J) * 100% = 10.2 % efficiency.
a person drops two objects from the same height one object weighs 15n and the other weighs 10 n how does the mass of the object relate to the force of gravity on them
Answer:
Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases.
Explanation:
sorry if this is wrong or is incorrect... but at least I tried right.
A motorcycle accelerates at 10 m/s2 to reach a final velocity of 50 m/s from rest. How much time passed during the acceleration?
Answer:
t = 5 s
Explanation:
We'll need this equation:
Vf = Vi + at
Rearranging the equation to solve for time, we get:
t = ( Vf - Vi ) / a
Plugging in what we know, we get:
t = ( 50 m/s - 0 m/s ) / 10 m/s^2
t = 5 s
the speed of sound in air at a temperature of -40c° ?
Answer:
304.87 m/s
Explanation:
v2 = v1 × √T2÷√T2
v2 = 330 × √233÷√273
v2 = 304.87 m/s
Discuss the methods of linear measures in Surveying
fill in the corresponding transcription and translation for each organism and determine the amino acid for which the dna is coded and the organism that would result from their protein synthesis
The process of transcription and translation forms part of the central dogma of molecular biology which describes protein synthesis from genes.
What is transcription?Transcription is the process whereby RNA molecules are synthesized from DNA.
The RNA produced is messenger RNA written as mRNA
The mRNA produced is used then used to synthesize proteins at the ribosomes in a process known as translation.
Amino acids which are used to make the proteins are code for by three nucleotides known as codons.
Therefore, the process of transcription and translation is used for protein synthesis from genes.
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Gravity, momentum, and friction are examples of:
Answer:
Gravity,momentum & friction are examples of FORCE.
Explanation:
Hope this helps you
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Define kinetic energy and write a statement about how kinetic energy is affected as velocity increases.
Answer: Kinetic energy is the energy of mass in motion. Because kinetic energy is proportional to the velocity squared, increases in velocity will have an exponentially greater effect on translational kinetic energy.
Explanation: Google
A moving object's kinetic energy is directly proportional to both its mass and the square of its velocity.
How does kinetic energy gets changed ?
An object with twice as much mass and the same speed will have twice as much kinetic energy, whereas an object with twice as much mass and the same speed will have four times as much kinetic energy.Kinetic energy is the kind of energy an object or particle has because it moves. When a net force is applied to an object, which is work that transfers energy, the object accelerates and gains kinetic energy. A moving object or particle's kinetic energy is a property that is affected by its mass as well as its motion. Translation (movement along a path from one location to another), rotation about an axis, vibration, or any combination of these motions can be the type of motion.In the meter-kilogram-second system, the joule is the energy unit. The kinetic energy of a two-kilogram mass traveling at a speed of one meter per second, which is slightly more than two miles per hour, is one joule, or something like 4.4 pounds on Earth. The unit of energy in the centimeter-gram-second system is the erg, or 10^7 joules, which is the same as the kinetic energy of a mosquito in flight. On the atomic and subatomic scale, smaller units of energy, such as the electron volt, are also utilized in specific contexts.To know more about kinetic energy check this:
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A ball is thrown upward and let fall down a building. Another identical ball was dropped straight down the building at the same time with the same initial speed as the first ball. How will the velocities of these two balls compare when they each hit the ground? Justify your response.
Answer:
same velocity
Explanation:
energy is conserved-
KE=PE
What is the value of 4p − 2, when p = 8? 16 24 30 34
Answer:
30
Explanation:
Plug in p to get 4(8) - 2
32 - 2 = 30
Calculate the current in a circuit if 500 C of charge passes through it in 10 minutes. *
(1 Point)
a) 0.83A
b) 0.083A
c) 8.3A
d) 83A
Answer:
Choice a. Approximately [tex]0.83\; \rm A[/tex] on average.
Explanation:
The electric current through a wire is the rate at which electric charge flows through a cross-section of this wire.
Assume that electric charge of size [tex]Q[/tex] flowed through a wire cross-section over a period of time [tex]t[/tex]. The average current in that wire would be:
[tex]\displaystyle I = \frac{Q}{t}[/tex].
For this question:
[tex]Q = 500\; \rm C[/tex], whereas[tex]t = 10\; \rm \text{minutes}[/tex].Therefore, the average current in this circuit would be:
[tex]\displaystyle I = \frac{Q}{t} = \frac{500\; \rm C}{10\; \text{minutes}} = 50\; \rm C /\text{minute}[/tex].
However, the units in the choices are all in [tex]\rm A[/tex] (for Amperes.) One Ampere is equal to one [tex]\rm C / \text{second}[/tex]. It will take some unit conversations to change the unit of [tex]I = 50\; \rm C/ \text{minute}[/tex] (coulombs-per-minute) to coulombs-per-second.
[tex]\begin{aligned}I &= 50\; \rm C/ \text{minute} \\ &= \frac{50\; \rm C}{1\; \rm \text{minute}} \times \frac{1 \; \text{minute}}{60\; \rm \text{seconds}} \approx 0.83\; \rm C/ \text{second} = 0.83 \; \rm A\end{aligned}[/tex].
Hence, the most accurate choice here would be choice a.
Rank the six combinations of electric charges on the basis of the electric force acting on q1.
a.
q1= +1nC
q2= -1nc
q3= -1nc
b.
q1= -1nC
q2= +1nc
q3= +1nc
c.
q1= +1nC
q2= +1nc
q3= +1nc
d.
q1= +1nC
q2= +1nc
q3= -1nc
e.
q1= -1nC
q2= -1nc
q3= -1nc
f.
q1= +1nC
q2= -1nc
q3= +1nc
Answer:
Largest; options A & B
2nd largest; Option F
3rd Largest; Option D
Smallest; Options E & C
Explanation:
Looking at the charges, basically, the net force of the charge q1 is the sum of charges q2 and q3.
When 2 charges are opposite, the force will be attractive but if they are same, then the force will be repulsive.
Thus, the order of the forces is;
I) Largest: q1= +1nC, q2= -1nc, q3= -1nc and (q1= -1nC, q2= +1nc, q3= +1nc)
II) Second largest is: q1= +1nC, q2= -1nc, q3= +1nc
III) Third largest: q1= +1nC, q2= +1nc, q3= -1nc
IV) Smallest: (q1= -1nC, q2= -1nc, q3= -1nc) and (q1= +1nC, q2= +1nc, q3= +1nc)
Lome people predict that California will sink into the ocean. Is this idea consistent with the theory of plate tectonics?
Answer:
No!
Explanation:
The sliver of California west of the San Andreas fault is slowly moving northwestward with the Pacific plate; movement is essentially horizontal.
state and explain parallelogram Law of vector addiction
Answer:
Parallelogram law of vector addition states that. if two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors.
Maribel has an iron rod around which she wraps copper wire. She places the device on a table near a compass. What will happen to the compass if she sends current through the copper wire?
A.The needle of the compass will point at a right angle to the device
B. The needle of the compass will point toward the device
C. The needle of the compass will show no effect
D.The needle of the compass will spin in circles
If Maribel sends current through the copper wire in the iron rod, the needle of the compass will point toward the device.
What is electric current?Electric current is the rate of flow of electric charge.
According to this question, Maribel has an iron rod around which she wraps copper wire. She places the device on a table near a compass.
If Maribel sends current through the copper wire in the iron rod, the needle of the compass will point toward the device because the metallic needle is attracted in the direction of the current.
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An object started moving with an initial velocity of 10m/s after travelling a distance of 5m gets a velocity of 20m/s find its: (a)acceleration
(b)time taken
Answer: a = 30 m/s^2
t = .33 s
Explanation:
(v final)^2 = (v initial)^2 + 2*a*d → 20^2 = 10^2 + (2)(a)(5) → a = 30 m/s^2
Acceleration = change in velocity / time → 30 = (20 - 10) / t → t = .33 s :)
1. Based on the score you got in our previous activity, do you consider yourself physically fit? Explain your answer.
2. Why is it important to be physically fit? 3. What do you think are the implications of having a physically fit body?
4. What can you do to become physically fit?
Regular exercise and physical activity is responsible for strong muscles and bones.
What can you do to become physically fit?Exercise and physical activity improves respiratory, cardiovascular, and overall health of an individual. Staying active can help in maintaining a healthy weight, reduce your risk of diabetes, heart disease, and reduce risk for cancers so we can conclude that regular exercise and physical activity is responsible for strong muscles and bones.
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What effect does the finite of the black paper have on the field?
The effect of black papper on the field is that the black paper have a form of chimney effect. Thid is because the black paper heat up the space between the field and the body in order to allow an upward air current like a chimney. This air current adds to the cooling of the field.
Black paper absorb heat from the surrounding and generate it to current flow in the field.
What is a Field?A field refer to a egion in which each point has a physical quantity like time or gravitational or space which are connected and associated with the region.
Therefore, the black paper allow air current flow.
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For a rocket traveling at 12010 m/s, by what factor does its relativistic momentum differ from its ordinary momentum
The relativistic momentum of the rocket differ from the ordinary momentum by a factor of 1.2m.
Relativistic momentum of the rocketThe relativistic momentum of the rocket is calculated as follows;
[tex]P = \frac{mv}{\sqrt{1- \frac{v^2}{c^2} } } \\\\P = \frac{m(12010)}{\sqrt{1- \frac{(12010)^2}{(3\times 10^8)^2} } } \\\\P = 12,011.2 m \ (kgm/s)[/tex]
where;
m is mass of the rocketOrdinary momentum of the rocketThe ordinary momentum of the rock is calculated from the product of mass and velocity of the rocket.
P = mv
P = 12010m (kgm/s)
Difference between the two momentumΔP = 12,011.2m - 12,010m
ΔP = 1.2m
Thus, the relativistic momentum of the rocket differ from the ordinary momentum by a factor of 1.2m.
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A motorcycle travels a distance of 420 miles in 8.5 hours. Give the average speed of the motorcycle
Answer:
As per Provided Information
Distance travelled by motorcycle is 420 miles
Time taken by motorcycle is 8.5 hours
we have been asked to determine the average speed of the motorcycle .
[tex] \bf \: Speed_{(Average)} = \cfrac{total \: distance \: travelled}{time \: taken} [/tex]
Now let's put the given value to find the average speed of motorcycle
[tex] \longrightarrow \sf \: Speed_{(Average)} \: = \cfrac{420}{8.5} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = \cfrac{4200}{85} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = \cancel\cfrac{4200}{85} \\ \\ \\ \longrightarrow \sf \: Speed_{(Average)} \: = 49.41 \: miles \: per \: hour[/tex]
Therefore,
Average speed of the motorcycle is 49.41 miles per hour .A 7.50 kg bowling ball moving
6.42 m/s strikes a 1.60 kg bowling
pin at rest. After, the ball moves
5.43 m/s at a 12.0° angle. What is
the x-component and y-component of the pin's final
velocity?
Answer:
Explanation:
To solve this problem we need to know the direction in which the ball was moving to start with.
The answer will be different depending n the original angle of the ball's movement.
It might be reasonable to assume that the ball is meant to approach along the x-axis,
but if so, the initial speed of 6.42m/s would be irrelevant to the answer.
So I will solve the problem for the general case of two objects colliding at arbitrary angles, and
tell you how to specialize it for any assumption about the initial conditions.
Let
m1 = 7.5 kg be the mass of the ball,
m2 = 1.6 kg be the mass of the pin,
v1 = 6.42 m/s be the velocity of the ball before the strike,
v2 = 0 m/s be the velocity of the pin before the strike,
α1 be the angle of v1,
α2 be the angle of v2,
w1 be the velocity of the ball after the strike,
w2 = 14.8 m/s be the velocity of the pin after the strike,
β1 be the angle of w1,
β2 = -47° be the angle of w2.
By conservation of momentum:
m1v1 + m2v2 = m1w1 + m2w2
Since the velocities are vectors, the addition is vector addition, and the equality is vector equality.
"Vector equality" means that the x-coordinates are equal and the y-coordinates are equal.
The problem cares only about y-coordinates, specifically the y-coordinate of w1, which is w1sin(β1).
(In general, the y-coordinate of any vector is obtained by multiplying the vector's norm by the sine of its angle.)
Conservation of momentum in the y-coordinate is then
m1v1sin(α1) + m2v2sin(α2) = m1w1sin(β1) + m2w2sin(β2)
Expressing the sought quantity
w1sin(β1) = (m1v1sin(α1) + m2v2sin(α2) - m2w2sin(β2))/m1
Substituting known quantities:
w1sin(β1) = (7.5×6.42×sin(α1) + 1.6×0×sin(α2) - 1.6×14.8×sin(-47°))/7.5
= (48.15×sin(α1) + 17.3)/7.5
In the above expression we do not know α1.
If we assume that the ball is approaching along the x-axis then α1 = 0, and
w1sin(β1) = 17.3/7.5 = 2.3
Under that assumption the y-component of the ball's final velocity is 2.3 m/s;
being positive, it is opposite the direction of the pin.
please help in 5 mintues
Which component uses the core muscles of your stomach?
a. Muscular endurance
b. Flexibility
c. BMI
d. Abdominal endurance
Answer:
a. Muscular endurance
is correct answer
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Meat-eating desert reptiles depend on which of the following biotic factors to supply their needs?
Daytime temperature ranges above 30 degrees Celsius
Condensation of moisture on plants for drinking water
OSmall animals in their habitat on which they feed
Plants that bear fruits during the summer months
Meat-eating desert reptiles depend on small animals in their habitat on which they feed.
What is the need of meat eating desert reptiles?Meat-eating desert reptiles depend on small animals that lives to their surrounding. On these animals, these meat eating desert reptiles feed and fulfill their requirements of food so we can conclude that meat eating reptiles needs small animals present in the desert for feeding.
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Which type of force is a noncontact force?
O A. Buoyancy
O B. Any normal force
O C. Air resistance
O D. Any fundamental force
Answer:D>D>D>D>D>D>D>D>>D>D>D>D>D>D>D>D>D>
Explanation:
Answer:
O D. Any fundamental force
Explanation:
got it right on the test
(b) What are the dimensions of a and b in the relation F = a*x^0.5+ bt^2 where F is force, x is distance and t is
time.
Answer:
It is 5F
Explanation: