The velocity of the freely falling object reached after 4.0 s is equal to 39.2 m/s.
What is the equation of motion?A relation can be established between the velocity of the body and acceleration of the body when the body is moving along a straight line with uniform acceleration. The distance traveled by the body in a specific time has expressed a set of equations called equations of motion.
The first equation of motion can be expressed as follows:
v = u + at
Where u is the initial velocity, v is the final velocity and a is the acceleration and t is the time of the object.
Given, the acceleration of the falling object, g = 9.8 m/s²
The initial velocity of the object, u = 0, and the time = 4 sec
The velocity of the object after time, t = 4 sec.
v = (0) + (9.80)× (4)
v = 39.2 m/s
Therefore, the velocity of the falling object will be 39.2 m/s after 4 seconds.
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An object of mass 8kg moved around the circle of radius 4m. with a constant speed of 15m/s.
calculate the angular velocity. and calculate the acceleration.
Answer:
a. Angular velocity = 0.267rad/s.
b. Centripetal acceleration = 56.25m/s.
Explanation:
Given the following data;
Mass, m = 8kg
Radius, r = 4m
Constant speed, V = 15m/s
a. To find the angular velocity
Angular velocity = radius/speed
Substituting into the equation, we have;
Angular velocity = 4/15
Angular velocity = 0.267rad/s
b. To find the acceleration;
Centripetal acceleration = V²/r
Substituting into the equation, we have;
Centripetal acceleration = 15²/4
Centripetal acceleration = 225/4
Centripetal acceleration = 56.25m/s.
Pam rubs a balloon on her head to generate a static charge. She holds the balloon up against a wall. Which of the following describes the electric charges and forces at work if the balloon sticks to the wall?
Electrons move from Pam’s hair to the balloon and attract electrons in the wall.
Electrons move from Pam’s hair to the balloon and attract protons in the wall.
Protons move from Pam’s hair to the balloon and attract protons in the wall.
Protons in the balloon form chemical bonds with protons in the wall.
Answer:
c
Explanation:
If the balloon sticks to the wall then electrons move from Pam’s hair to the balloon and attract protons in the wall.
One of the ways of producing static electricity is by the use of friction. Friction occurs when two surfaces are rubbed together. This leads to the loss of electrons from one of the surface which attracts the protons on another surface.
If the balloon sticks to the wall then electrons move from Pam’s hair to the balloon and attract protons in the wall.
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You are driving up a long, inclined road. After 1.50mi you notice that signs along the roadside indicate that your elevation has increased by 510ft . b) How far do you have to drive to gain an additional 110ft of elevation
Answer:
1.825 miles
Explanation:
Given that :
Distance driven = hypotenus = 1.5 miles
Elevation at distance of 1.5 miles = 510 feets
Converting miles to feets for the hypotenus :
1 mile = 5280 feets
1.5 miles = (5280 * 1.5) = 7920 feets
To obtain the angle of inclination :
Using Pythagoras rule :
Sinθ = opposite / hypotenus
θ = Sin^-1(510 / 7920)
θ = 3.692°
For an additional elevation of 110 ft ; new height = 110 + 510 = 620 feets
Distance driven, d =?
Sin 3.69 = (620 / d)
0.0643581 * d = 620
d = 620 / 0.0643581
d = 9633.5970 feets
Converting to feets :
9633.5970 / 5280 = 1.8245448
= 1.825 miles
Help pls!
Explain if you think we should continue to use geothermal power in the future
Answer:
Geothermal power can provide consistent electricity throughout the day and year - continuous baseload power and flexible power to support the needs of variable renewable energy resources, such as wind and solar. Sustainable Investment.
Explanation:
THIS IS WHY WE SHOULD USE GEOTHERMAL ENERGY IN FUTURE
YOU CAN MARK ME AS BRAINIEST IF YOU WANT
An engineer is designing the runway for a new airport. The lowest
acceleration rate of the plane's that will use the airport is likely to
be 3.0 m/s2. The takeoff speed for that plane is 65 m/s. What is
the minimum runway length needed for this plane to successfully
takeoff?
Answer:
Given, initial velocity, u=0m/s and final velocity v=65m/s
Acceleration a=3m/s
2
If d be the allowed length for the runway.
Using formula v
2
−u
2
=2aS
(65)
2
−0
2
=2(3)d
⟹ d=65
2
/6=704.16∼704m
The Dark Matter Halo of our galaxy is The Dark Matter Halo of our galaxy is a halo component curiously absent in most others galaxies which astronomers have examined. the extension or the central bulge into space where dust makes the stellar material too dark to see. a disproven super-gravity concept once thought to be possible, but contradicted by evidence. a massive non-luminous cloud of material that surrounds the galaxy, providing the dominant source of gravity in our galaxy.
Answer:
you mean this halo right
Explanation:
Halo is an American military science fiction media franchise managed and developed by 343 Industries and published by Xbox Game Studios. The franchise and its early main installments were originally developed by Bungie. The central focus of the franchise builds off the experiences of Master Chief John-117, one of a group of supersoldiers codenamed Spartans, and his artificial intelligence (AI) companion, Cortana.
The original trilogy centers on an interstellar war between humanity and an alliance of aliens known as the Covenant. The Covenant, led by their religious leaders called the Prophets, worship an ancient civilization known as the Forerunners, who perished while defeating the parasitic Flood. The eponymous Halo Array are a group of immense, habitable, ring-shaped superweapons that were created by the Forerunners to destroy the Flood, but which the Covenant mistake for religious artifacts that, if activated, would transport them on a Great Journey to meet the Forerunners. They are similar to the Orbitals in Iain M. Banks' Culture novels, and to a lesser degree to author Larry Niven's Ringworld concept.[1][2][3][4]
The games in the series are critically acclaimed, with the original considered the Xbox's "killer app".[5] This led to the term "Halo killer" being used to describe console games that aspire, or are considered, to be better than Halo.[6] Fueled by the success of Halo: Combat Evolved, and by marketing campaigns from publisher Microsoft, its sequels went on to record-breaking sales.[7][8][9] The games have sold over 65 million copies worldwide, with the games alone grossing almost $3.4 billion.[10][11][12] Halo has since become one of the highest-grossing media franchises of all time. These strong sales led to the franchise's expansion to other media; the Halo Universe now spans multiple best-selling novels, graphic novels, comic books, short movies, animated movies and feature films, as well as other licensed products.
T
Donuts are a simple or complex carbohydrate? *
Ok
Answer:
simple carbohydrate
Explanation:
Simple carbs are like cakes, donuts, and candy, etc.
Hope this helps :D
Secondly, a man is rock climbing when suddenly the rock face he grabs breaks away and he is left with a 1200 lb. rock on his chest. How do scientists say he was able to lift this incredible weight and save himself
Answer:
rush of adrenaline
Explanation:
This is believed to have been possible due to the rush of adrenaline that the individual was experiencing. This has happened a couple times in moments of extreme distress where an individual's body is flooded with adrenaline. This adrenaline allows for super human like strength as well as increased senses. The individual that has lifted the most amount of weight in such a scenario, lifted a total of 3000 lbs. Therefore, it is fair to say that 1200 lb. rock was lifted due to adrenaline.
A tennis player hit a .057-kg ball with a force of 40 N. The duration of the force was .05 s.
a ball is thrown upward with a beginning speed of 40m/s. The graph below shows how the speed of the ball changes until it reaches its maximum height.
use the graph to find
a) the time when the ball reaches its maximum height
b) the acceleration of the ball
c) the maximum height the ball went
Answer:
a) 4.0816s
b) -9.8 ms^-1
c) 81.63265m
A cat runs in a straight line. Which of the following statements about the cat's motion must be true?
Answer:
I would think it's A cat runs in a straight line.
Explanation:
The correct statement regarding the motion of the cat is option c. The speed of the cat is zero at the points a and c. Where the position meets 0 m.
What is position -time graph ?A position - time graph is really helpful to determine the position of an object with respect to time. Thus, we can clearly calculate how much distance is covered within a given time. Similarly if the velocity of motion can be easily determined from this graph.
From the given graph, the cat starts walking from the point a. Then from a to b it walks in a straight line with an increasing velocity with time. At the point b, it reaches to its maximum displacement.
Then the cat starts walking down where the distance in m is decreasing with time, At the point c, it stops walking and it has zero speed as it is in point a. Therefore, the correct statement about the motion of the cat is option c.
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The complete question is attached below.
every
This equation is missing which
motion variable?
vz = v? + 2a Ax
A. Ax
B. a
ht
C. Vi
Answer:
t is missing in this equation.
Explanation:
The equation of motion is given by :
[tex]v_f^2=v_i^2+2a\Delta x[/tex]
Where
[tex]v_f\ and\ v_i[/tex] are final and initial velocities
a is acceleration
[tex]\Delta x[/tex] is displacement
Time i.e. t is missing in the above equation. Hence, the correct option is (d) i.e. t.
A car traveling at 55 MPH North is an example velocity vector.
O True
O False
Answer:
false
Explanation:
A friend comments to you that there was a beautiful, thin sliver of a Moon visible in the early morning just before sunrise. Which phase of the Moon would this be, and in what direction would you look to see the Moon (in the southern sky, on the eastern horizon, on the western horizon, high in the sky, etc.)?
Answer: Waning Crescent
Explanation:
Two positive charges are fixed a distance apart.the sun of their charges is Qt.what charge must each have in order to maximise the electric force between them
Answer:
Both charges must have the same charge, Qt/2.
Explanation:
Let the two charges have charge Q1 and Q2, respectively.
Use Coulombs's Law to find an expression for the force between the two charges.
[tex]F = k_e\frac{Q_1Q_2}{r^2}[/tex], where
Ke is Coulomb's contant and
r is the distance between the charges.
We know from the question that
Q1 + Q2 = Qt
So,
Q2 = Qt - Q1
[tex]F = k_e\frac{Q_1(Q_t - Q_1)}{r^2}[/tex]
Simplify to obtain,
[tex]F = \frac{k_e}{r^2} (Q_tQ_1 - Q_1^2)[/tex]
In order to find the value of Q1 for which F is the maximum, we will use the optimization technique of calculus.
Differentiate F with respect to Q1,
[tex]\frac{dF}{dQ_1} = \frac{k_e}{r^2} (Q_t - 2Q_1)[/tex]
Equate the differential to 0, to obtain the value of Q1 for which F is the maximum.
[tex]\frac{k_e}{r^2} (Q_t - 2Q_1) = 0\\Q_t - 2Q_1 = 0\\2Q_1 = Q_t\\Q1 = \frac{Q_t}{2}[/tex]
It follows that
[tex]Q_2 = \frac{Q_t}{2}[/tex].
Using the graph, when (in seconds) would you expect the object to have the highest velocity? Explain your answer.
Answer:
blue
Explanation:
nswer the following about two objects, A and B, whose motion produced ihe following ... "A" starts with a greater (t) position. Since they ... since you are moving away from the origin
An offshore oil platform houses a drill for drilling oil. The drill descends from the platform and enters the ocean. At the bottom of the ocean, the drill starts to dig into the rock. It continues drilling into the rock for another 7,000 feet and then stops. Where does the drill stop?
Answer:
Geosphere
Explanation:
I did it and got the answer right.
Answer:
in the geosphere
Explanation:
Later in the game, the quarterback throws a pass to the wide receiver with a defender in hot pursuit. If the pass does not arrive to the wide receiver in two seconds, the pass will be intercepted. If the receiver is 30 yards away and the pass is thrown at a 10 degree angle from the ground, how fast must the ball be thrown to reach the receiver
Answer:
Explanation:
In projectile motion , formula for range is as follows
R = u² sin 2 α / g , where u is initial velocity of throw , α is angle of throw
Given R , range = 30 yards , α = 10°
30 = u² sin 20 / 9.8
u² x .342 = 294
u² = 859.65
u = 29.32 m / s
what is the cost to run a single 100 w light bulb for 30 days if the electric company charges $0.18 for every KW-hr?
Explanation:
power of the bulb = 100w=0.1kw
power consumption when the bulb is used for 30 days ( 30 *24 = 720 hours) =0.1*720=72kwh
cost to run the bulb for 30 days = 72*0.18
= $12.96
Answer is $12.96..................
Help on this question ‼️
Answer:
I think the option b
Is the answer
Answer:
C
Explanation:
after a CCW rotation it would become a waning gibbous, so after a Clockwise rotation it would be a waxing gibbous (opposite)
What aspect of solar radiation causes Cleveland to have more solar radiation than Miami in June and July
Answer:
miami because it is closer to the equator26. cleveland because of its location 27. The top of the atmosphere absorbs and reflects the radiation before it can reach the surface.Explanation:
In the month of June and July, Cleveland will have solar radiation more than that of Miami.
The figure attached below clearly shows the solar radiation of the atmosphere at Miami and Cleveland throughout the year.On June solstice, the noon altitude of the sun is [tex]88^\circ[/tex] at Miami's latitude and [tex]72^\circ[/tex] at Cleveland's latitude.The number of daylight hours is [tex]13.8[/tex] hours at Miami's altitude and the number of daylight hours is [tex]15.1[/tex] hours at Cleveland's altitude.Learn More :
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What is the mass of an object if it is moving at a speed of 10 m/s and has 400 J of kinetic energy?
Answers:
8 kg
Explanation:
Kinetic Energy = (mass × velocity × velocity) ÷ 2
We know that Kinetic Energy = 400 J and velocity = 10 m/s.
KE = (m × v × v) ÷ 2
400 J = (m × 10 m/s × 10 m/s) ÷ 2
400 J = m × 50 m^2/s^2
To find the mass you will divide 400 J and 50 m^2/s^2.
m = 8 kg
You can also check it if it gives you 400 J.
KE = (m × v × v) ÷ 2
KE = (8 kg × 10 m/s × 10 m/s) ÷ 2
KE = 400 J
So this means that the mass is 8 kg. I know that it is a bit confusing, but when you do J (joules) ÷ m^2/s^2 = kg (kilograms). Hope this helps, thank you !!
A 1.0 C charged object and a 2.0 C charged object are separated by 100 m. Where should a -1.0x10-3 C charged object be placed on a line between the positively charged objects so that the net electrical force exerted on the negatively charged object is zero
Answer:
x = 41.2 m
Explanation:
The electric force is a vector magnitude, so it must be added as vectors, remember that the force for charges of the same sign is repulsive and for charges of different sign it is negative.
In this case the fixed charges (q₁ and q₂) are positive and separated by a distance (d = 100m), the charge (q₃ = -1.0 10⁻³ C)) is negative so the forces are attractive, such as loads q₃ must be placed between the other two forces subtract
F = F₁₃ - F₂₃
let's write the expression for each force, let's set a reference frame on the charge q1
F₁₃ = [tex]k \frac{q_1 q_3}{x^2}[/tex]
F₂₃ = [tex]k \frac{q_2 q_3}{(d-x)^2}[/tex]
they ask us that the net force be zero
F = 0
0 = F₁₃ - F₂₃
F₁₃ = F₂₃
k \frac{q_1 q_3}{x^2} =k \frac{q_2 q_3}{(d-x)^2}
[tex]\frac{q_1}{x^2} = \frac{q_2}{(d-x)^2 }[/tex]q1 / x2 = q2 / (d-x) 2
(d-x)² = [tex]\frac{q_2}{q_1}[/tex] x²
we substitute
(100 - x)² = 2/1 x²
100- x = √2 x
100 = 2.41 x
x = 41.2 m
Someone please help me, I’m so lost my brain hurts
-- It takes 100 calories of heat to make 10 grams of the stuff 20° warmer.
How much of the heat warms each gram ?
-- It takes 10 calories of heat to make each gram of the stuff 20° warmer.
How much of the heat warms that gram each degree ?
-- It takes 1/2 calorie of heat to make each gram of the stuff 1° warmer.
The specific heat of that stuff is
(1/2 calorie) per gram per °C.
That's choice-3 .
Explanation:
The answer is No. 3
0.5 cal/g°C
Points A, B, and C lie along a line from left to right, respectively. Point B is at a lower electric potential than point A. Point C is at a lower electric potential than point B. What would best describes the subsequent motion, if any, of a positively-charged particle released from rest at point B?
Answer:
Please see below as the answer is self-explanatory.
Explanation:
If the potential at B is lower than A, and the potential at C is lower than B, this means that there is an electric field, directed from A to C.If a positively-charged particle is released at rest at point B, it will be accelerated by the electric field (which is a force per unit charge, so it produces an acceleration) in the same direction than the field (because it is a positive charge) towards point C.1- friction force increases the object speed as it acts in the same direction
O True
O false
Answer:
False
Explanation:
Friction force is a force that opposes the relative lateral motion of two solid surfaces in contact.
A laser is placed at the point $(3,5)$. The laser beam travels in a straight line. Larry wants the beam to hit and bounce off the $y$-axis, then hit and bounce off the $x$-axis, then hit the point $(7,5)$. What is the total distance the beam will travel along this path
Answer:
4units
Explanation:
To calculate the total distance the beam will travel along this path, you will use the formula for calculating the distance between two coordinates expressed as;
D = √(x2-x1)²+(y2-y1)²
Given the coordinate points
(3,5) and (7,5)
Substitute
D = √(7-3)²+(5-5)²
D = √(7-3)²+0²
D = √4²
D = √16
D = 4
Hence the total distance the beam will travel along this path is 4units
Please could you guys help me. When an object falls from a height, the maximum energy transferred to its kinetic energy store is
equal to... *
. the energy transferred to its gravitational energy store
. the energy transferred away from its gravitational potential energy store
Answer:
the energy transferred away from its gravitational potential energy store
Explanation:
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
[tex] K.E = \frac{1}{2}MV^{2}[/tex]
Where, K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
[tex] P.E = mgh[/tex]
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
When an object falls from a height, the maximum energy transferred to its kinetic energy store is equal to the energy transferred away from its gravitational potential energy store.
This ultimately implies that, while the object was at rest it possessed potential energy, which is then transformed into motion when it starts to fall.
The cart travels the track again and now experiences a constant tangential acceleration from point A to point C. The speeds of the cart are 13.2 ft/s at point A and 17.4 ft/s at point C. The cart takes 3.00 s to go from point A to point C, and the cart takes 1.20 s to go from point B to point C. What is the cart's speed at point B
Answer:
the cart's speed at point B is 15.72 ft/s
Explanation:
Given the data in the question;
The car travels from point A to C in 3.00 s, its average acceleration [tex]a_{avg}[/tex] will be;
[tex]a_{avg}[/tex] = [[tex]V_{c}[/tex] - [tex]V_{A}[/tex]] / Δt
[tex]V_{c}[/tex] is 17.4 ft/s, [tex]V_{A}[/tex] is 13.2 ft/s and Δt is 3.00 s
so we substitute
[tex]a_{avg}[/tex] = [17.4 - 13.2] / 3
[tex]a_{avg}[/tex] = 4.2 / 3
[tex]a_{avg}[/tex] = 1.4 ft/s²
so average acceleration of the cart between the points A and B is 1.4 ft/s²
The instantaneous value of the velocity of the cart at point B will be;
[tex]a_{avg}[/tex] = Δv / Δt
now substitute [[tex]V_{c}[/tex] - [tex]V_{B}[/tex]] for Δv and t' for Δt
[tex]a_{avg}[/tex] = [[tex]V_{c}[/tex] - [tex]V_{B}[/tex]] / t'
[tex]V_{B}[/tex] = [tex]V_{c}[/tex] - [tex]a_{avg}[/tex]( t' )
so we substitute 17.4 ft/s for [tex]V_{c}[/tex], 1.20 s for t' and [tex]a_{avg}[/tex] = 1.4 ft/s²
[tex]V_{B}[/tex] = 17.4 - (1.4 × 1.20)
[tex]V_{B}[/tex] = 17.4 - 1.68
[tex]V_{B}[/tex] = 15.72 ft/s
Therefore, the cart's speed at point B is 15.72 ft/s
HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!!
You pushed a shopping cart with 75 N of force. The cart accelerated at 5 m/s^2. What is the mass of the shopping cart?
Answer:
the mass of the shopping cart is 15 kg
Explanation:
The computation of the mass of the shopping cart is shown below:
As we know that
Force = mass × acceleration
So,
Mass = Force ÷ Acceleration
=75 N ÷ 5 m/s^2
= 15 kg
Hence, the mass of the shopping cart is 15 kg