Answer:
Explanation:
This is one-dimensional motion on an incline, which is always tons of fun :/
The equation you need for this is
w*sinθ - f = ma where w is the weight of the girl (NOT the mass), theta is the angle of inclination, f is the frictional force pulling back on the girl, m is the mass of the girl, and a is the acceleration she experiences under these conditions. We have the mass but we need the weight, and weight has its own equation:
[tex]F_n=w=mg[/tex] where Fn is the normal force of the girl (which is the same as weight). Her normal force/weight is
w = 45(9.8) and we need 2 sig fig's for the answer so her weight is
w = 440N
f = μ[tex]F_n[/tex] which is the coefficient of kinetic friction times the normal force/weight of the girl:
f = (.25)(440) and we need 2 sig fig's for this as well so the frictional force is
f = 110
Putting it all together in the main equation looks like this:
440sin45 - 110 = 45a
Multiplication/division rules for sig fig's are different so we have to do them individually.
440sin45 will have 2 sig fig's in the answer:
440sin45 = 310; therefore:
310 - 110 = 45a. Again, because we have subtraction on the left and we will divide eventually, and the rules for both are different, we will subtract first, get that answer in the correct number of sig fig's and then divide that result by 45:
2.0 × 10² = 45a so
a = 4.4 m/s/s
Would anyone be kind enough to help me? :)
A drag racer completes a race in 14.3 s. If the drag racer has an average speed of 251 km/h, how long is the racetrack?
Please explain steps because I have no idea how to do this or what to solve for....
*IF YOU POST LINKS I WILL REPORT YOU SO I SUGGEST YOU DON'T"
Answer:
The racetrack is 996.7 meters long
Explanation:
Convert 251km/h to km/s (kilometers per second)
3600 seconds in an hour, so:
251/3600 = 0.0697km/s
Convert km/s to m/s (meters per second)
1000 meters in a kilometer, so:
0.0697*1000 = 69.7m/s
Find length of racetrack:
69.7m/s*14.3s = 996.7m
If the racer travels 69.7 meters in one second and it takes 14.3 seconds to complete a lap, the racetrack is 996.7 meters long.
The hammer throw is a track-and-field event in which a 7.1-kg ball (the ''hammer''), starting from rest, is whirled around in a circle several times and released. It then moves upward on the familiar curving path of projectile motion. In one throw, the hammer is given a speed of 26.0 m/s. For comparison, a .22 caliber bullet has a mass of 2.6 g and, starting from rest, exits the barrel of a gun with a speed of 403 m/s. Determine the work done to launch the motion of both the hammer and the bullet.
The work done to launch the motion of both the hammer and the bullet are 3.1×10³ Joule and 2.2×10² Joules respectively.
As we know,
Work = Kinetic Energy
= (0.5)(mv^2)
For Work in Joules, the mass is in units of Kg, and the velocity is in units of m/s.
KE(hammer) = 1/2mv^2 = 1/2 x 7.3 x (29)^2 = 3.1 x 10^3 J
and KE(bullet) = 1/2mv^2 = 1/2 x 2.6 x 10^-3 x (410)^2 = 2.2 x 10^2 J
To solve this problem, we must assume that energy is conserved. (This isn't stated in the problem, and is not true in general in these real-world examples, however we must assume conservation of energy in order to solve the problem with the information given).
When an object moves while a force is being exerted on it, then work is being done on the object by the force. If an object moves through a displacement d while a constant force F is acting on it, the force does an amount of work equal to W = F · d = F d cos φ where φ is the angle between d and F.
To know more about work done here
https://brainly.com/question/22116319
#SPJ4
Imagine that an object i falling through a long traight gla tube held vertical; air ha been removed
completely from the tube. The object doe not touch the wall of the tube. Will the object experience any
force of friction
No, the object will not experience any force of friction because there is no air or other medium in the tube to create friction against the object.
This is because friction is only possible when two objects are in contact with each other, or when an object is in contact with a medium like air or water. Since there is no air or other medium in the tube, there is nothing for the object to interact with. As a result, the object will fall through the tube without any external forces acting on it, such as friction. The motion of the object will be completely determined by the force of gravity and the object's inertia, and no other external forces will be present.
To know more about friction refer to the link brainly.com/question/13000653
#SPJ4
Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of 2. 0 m/s for 3. 5 seconds?
2. How long would it take Jesse with an acceleration of -2. 50 m/s2 to bring his bicycle with an initial velocity of 13. 5 m/s to a complete stop?
When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².
To find Justine's final velocity, we can use the equation:
v = u + at
where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So
v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s
To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:
v = u + at
where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.
Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.
so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds
It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.
To know more on equations of motion
https://brainly.com/question/20381052
#SPJ4
By mass, the interstellar medium in our region of the Milky Way consists of
A) 70% Hydrogen, 30% Helium.
B) 70% Hydrogen, 28% Helium, 2% heavier elements.
C) 70% Hydrogen, 20% Helium, 10% heavier elements.
D) 50% Hydrogen, 50% Helium.
E) 50% Hydrogen, 30% Helium, 20% heavier elements.
The 70% Hydrogen, 28% Helium, 2% heavier elements. the interstellar medium in our region of the Milky Way consists of
What is interstellar?
Interstellar is a 2014 science fiction film directed, co-written, and co-produced by Christopher Nolan. The movie follows a team of astronauts who travel through a wormhole in search of a new home for humanity.
The cast includes Matthew McConaughey, Anne Hathaway, Jessica Chastain, and Michael Caine. The film was a major commercial success, grossing over $677 million worldwide, and was nominated for five Academy Awards. Interstellar has been praised for its realistic depiction of space exploration, its innovative visual effects, and its emotional story.
The interstellar medium in our region of the Milky Way is composed of mostly hydrogen (about 70%) and helium (about 28%), with the remaining 2% consisting of heavier elements, such as carbon, nitrogen, oxygen, and dust.
To learn about more interstellar
https://brainly.com/question/12497791
#SPJ4
A motorcycle of 170 kg is moving with a velocity 25m/ . Calculate the kinetic energy
Answer: 53125joules
Explanation: The formula for kinetic energy is 1/2mv^2.
So we would have
1/2[(170)(25x25)]=53125
Calculate the rotational inertia of 27 kg solid cylinder whose diameter is 0. 24 m about an axis of the cylinder if I= mr^2. Where I is the rotational inertia, m is mass and r is the radius
The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2
Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.
The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.
The cylinder's moment of inertia about its axis is (MR^2)/2.
Where, M - mass of object, R = radius of the cylinder.
After putting all the values. we will get,
[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]
For more such questions on moment of Inertia of the solid cylinder
https://brainly.com/question/27380063
#SPJ4
How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2
The tension is the only force exerted horizontally to the car.And according to Newton's Law, F = ma = 1210kg * 1.20m/s = 1452N.So T =1452N.
How would a surface without friction feel?It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.
Is there any surface in the world without friction?In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.
To know more about frictionless surfaces visit:
brainly.com/question/434969
#SPJ4
What is the earliest time at which the force of
the spring shown below is zero?
(Unit = s)
Answer:
0.45
Explanation:
Answer:
Explanation:
The answer is C.
For extra credit, you can point out that even at C, the spring force is not exactly zero as there is a tension force equal to the weight of the mass.
Two pole-vaulters just clear the bar at the same height. The first lands at a speed of 8.85 m/s, while the second lands at a speed of 9.31 m/s. The first vaulter clears the bar at a speed of 1.17 m/s. Ignore air resistance and friction and determine the speed at which the second vaulter clears the bar.
Using the strain energy that the pole has stored in it, the running athlete's kinetic energy is transformed into the potential energy needed to jump.
What equation is used to calculate the maximum height of a pole vault?Males employ the formula: h= 0.60 * [male height] + 12(v2/g), whereas females use h= 0.55 * [female height] + 12(v2/g).
It is merely an instance of energy being exchanged. If an athlete can run at 10 m/s and we calculate g as 10 m/s/s, the height equals 5 m.
Each vaulter has three tries to clear a particular height during a competition. In order to fall readily if touched, a bar is supported by two uprights. Up until a winner is determined through the process of elimination, it is raised gradually.
There has been a failed trial. A competitor's pole breaking while trying to clear the bar is not considered a trial or failure. No one is permitted to touch the vaulting pole.
To learn more about pole refer to:
https://brainly.com/question/3506806
#SPJ4
Is the torque the product of force and lever arm?
Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.
What is the force times the lever arm's product?A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.
How do you multiply torque?Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.
To know more about torque visit:-
https://brainly.com/question/14970645
#SPJ4
How are velocity and force similar?
Answer: Force
In physical science, a force is something that acts on an object by pushing or pulling it. If the force is strong enough, it changes the position or shape of the object. Forces such as friction, air resistance and simple physical contact touch the object directly, while forces like gravity, magnetism and electrostatics act on the object from a distance. Force is a vector quantity, meaning you can measure both its strength and its direction. The formula to find the measure of a force is force = mass times acceleration, written as f = ma.
Velocity
The faster something is moving, the higher its velocity.
When an object is moving, one way to measure how fast it is moving is by finding its velocity, which is the rate at which it is changing position. Like force, velocity is a vector quantity, so it includes direction. To find the average velocity of an object, divide the change in its position by the time the movement took, and state its direction. For example, if a car is driving north and in one hour's time it travels 30 miles, its velocity is 30 miles per hour, north.
\_:Peepato1234:_/
when water change into ice it contracts or expand
plz answer fast..
Answer:Yes, water indeed expands when it changes form from liquid to solid. And this is because water has a property called “hydrogen bonds”, and these bonds occur between each water molecule. But when water is in a liquid form these hydrogen bonds break more easily and occur less frequently. When the temperature drops the kinetic energy also drops, which in turn makes hydrogen bonds form more frequently. So the water molecules form a lattice, which is less dense than regular liquid water.
Explanation:
If a wave is traveling at 60cm/second and has a wavelength of 15 cm what is the frequency?
What causes objects to fall at different rates on earth?
Answer:
gravity and weight of an item
Explanation:
if you drop a rock it would fall straight to the ground
now if you drop a feather it would fall to the ground but will take a longer amount of time
When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R
When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.
What do you mean by gravitational force?Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.
Given that the foece on the satellite due to earth gravity is F
(At a distance R from center of Earth)
Initial separation between the satallite and Earth is R
Final separation between the satallite and Earth is 3R
The force on the satallite due to earth is
F= [tex]\frac{GMm}{r^{2} }[/tex]
Here M is mass of earth and m is mass of satellite
if the distance between satellite and earth changed to 3R
the force on the satellite due to earth is
F'=[tex]\frac{GMm}{3R^{2} }[/tex]
F'=[tex]\frac{GMm}{9R^{2} }[/tex]
F'=F/9
To know more about gravitational force visit:
brainly.com/question/12528243
#SPJ4
Microwaves are electromagnetic waves used in broadcasting and telecommunications. When do these waves increase in frequency?
A. when the source moves away from you
B. when the source moves toward you
C. when you move away from the source
D. when you move away from the source and the source moves away from you
Answer: B. when the source moves toward you
Explanation:
Microwaves are referred to as the electromagnetic waves that are used in broadcasting and telecommunications. The waves increase in frequency when the source moves toward someone.
It should be noted that as the wavelength increases in size, then the frequency and the energy will decrease. As the frequency increases, then the wavelength will get shorter and vice versa.
Therefore, the correct option is B.
what is the weight of a 80kg mass placed on the surface of the earth yake9.8m/s2
Answer:
48gk
Explanation:
2. Yvonne van Gennip of the Netherlands ice skated 10.0 km with an aver- age speed of 10.8 m/s. Suppose van Gennip erosses the finish line at her average speed and takes a huge bouquet of flowers handed to her by a fan. As a result, her speed drops to 10.01 m/s. If van Gennip's mass is 63.0 kg, what is the mass of the bouquet
The mass of the bouquet can be calculated using the equation m = F/a. Which is equal to 0.9kg.
Since van Gennip’s speed dropped from 10.8 m/s to 10.01 m/s after she took the bouquet, this indicates that a force was applied to her causing her to slow down.
The applied force can be determined by taking the difference between her final and initial momentum, which is p = mv.
Thus, the applied force can be calculated by F = Δp/Δt.
Plugging in the given values, the mass of the bouquet can be calculated as
m = F/a = (63.0 kg × (10.8 m/s - 10.01 m/s))/10.01 m/s² = 0.9 kg.
Therefore, the mass of the bouquet is 0.9 kg.
Learn more about mass:
https://brainly.com/question/28021242
#SPJ4
How does the mass of an object affects its gravitational force?*answer in a full sentence pls * (PLS HELP ME )
Answer:
Here you go..
hope it helps..!
Explanation:
So 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.
a block with length 1.5m width 1m height 0.5m and mass 300kg lays on the table.what is the pressure at the bottom surface of the block ?
Answer:
your answer will be 320kg that would be the pressure at the bottom surface of the block
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the ______, is a requirement of NEC 705.12(B).
A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the main circuit breaker, is a requirement of NEC 705.12(B).
What is a circuit's straightforward definition?A completed circular conduit through which electricity flows is known as a circuit in electronics. A simple circuit includes a current provider, conductors, and a load. The term "circuit" can broadly be used to describe any ongoing path via which electricity, information, or a signal might go.
Why are circuits essential?A channel for the transfer of electric current is known as an electric circuit. Electric energy is transferred to components that transform it into various types of energy that can perform work, such as supplying power to light, appliances, and other devices, when electrical current flows across a circuit.
To know more about Circuit visit :
brainly.com/question/27206933
#SPJ4
Acar drives 150 km east from city A to B in 45 minutes and then 300 km south from city B to C in 1,5 hours. What is the average velocity vector for the trip?
The required average velocity vector for the trip is calculated to be 100 i + 200 j and its magnitude is 223.6 km/h.
The displacement due east is taken as 150 i.
The displacement due south is taken as 300 j.
The net displacement is given as, 150 i + 300 j.
Magnitude of net displacement = √(150² + 300²) = √112500 = 335.41 km
We get the average velocity by dividing the displacement vector by total time.
v avg = (150 i + 300 j)/1.5 = 100 i + 200 j
Magnitude of net velocity = √(100² + 200²) = √(10000 + 40000) = 223.6 km/h
Thus, the average velocity vector is 100 i + 200 j.
To know more about average velocity:
https://brainly.com/question/13490241
#SPJ4
find the value of e, the margin of error, for c = 0.99, n = 16 and s = 2.6.
The margin of error is 3.96.
The value of e, or the margin of error, can be calculated using the formula:
e = z*(s/√n)
where:
z = the critical value from a standard normal distribution table (for c = 0.99, z = 2.576)
s = the sample standard deviation (in this case, s = 2.6)
n = the sample size (in this case, n = 16)
So, to find the margin of error for this scenario, we plug the given values into the formula:
e = 2.576*(2.6/√16) = 2.576*(2.6/4) = 2.576*0.65 = 3.96
Therefore, the margin of error is 3.96.
It's worth noting that this value represents the range within which we expect the true population value to fall with a certain level of confidence
Read more about Margin of Error:
https://brainly.com/question/13990500
#SPJ4
The centers of two 15.0 kilogram spheres are separated by 3000 millimeters. The magnitude of the gravitational force between the spheres is approximately:
The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.
What is the gravity force?Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.
Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.
F=GMm/r^2
G=6.67 x 10^-11N kg^2/m^2
M=(15kg)
m=15 kg
r=(3.0m)^2
putting values we have
(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2
1.67 x 10^-9N
Learn more about Gravitational Force from given link
https:/brainly.com/question/24783651
#SPJ4
If petroleum used by a power generator is 50 percent efficient and the lines that carry the electricity to a light are 25 percent efficient, what is the energy efficiency of converting the oil into the light
The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.
Calculation-Efficiency = (0.50) * (0.25) = 0.125 or 12.5%
So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.
How effective is the process of turning oil into light overall?How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.
to know more about energy efficiency here:
brainly.com/question/28939461
#SPJ4
Calcular gráfica y analíticamente la resultante del sistema de fuerzas. ¿Qué condiciones debe reunir una fuerza F4 para que haya equilibrio? Datos: F1 = 20 N; F2 = 15 N y F3 = 7 N.
Answer:
.....
Explanation:
How to solve this electrical circuit?
The resistor that is equivalent to the resistance of the circuit is 1 2/7 Ohms
What is an equivalent resistance of a circuit?The equivalent resistance of a circuit is the (single) resistance that can replace the combination of resistances in the circuit such that the current flowing in the circuit remains the same.
Please find attached the drawing of the circuit, created with an online circuit building tool.
Whereby the capacitor also acts as a resistor of 6 Ohms, we get;
Resistors R₄, R₅, and R₆ are parallel
The resistor equivalent to the three resistors is found as follows;
Req₁ = 1/(1/R₄ + 1/R₅ + 1/R₆)
Therefore, Req₁ = (1/(1/2 + 1/1 + 1/6)) = 0.6
Req₁ is in series with R₁, therefore;
Req₂ = Req₁ + R₁ = 0.6 + 3 = 3.6
Req₂, (Req₁ + R₁ combined) is parallel to R₂ and R₃, therefore;
Req₃ = 1/(1/Req₂ + 1/R₂ + 1/R₃)
Req₃ = 1/(1/3.6 + 1/3 + 1/6) = 9/7 = 1 2/7
The equivalent resistor of the circuit is 1 2/7 ohms
Learn more on the equivalent resistance of a circuit here: https://brainly.com/question/1437443
#SPJ1
The resistor in an RC circuit (a circuit where a resistor and a capacitor are connected in series) has a resistance of 145 ohm.
A circuit with a series connection between a resistor and a capacitor.
What is meant by capacitor?An electrostatic field of stored energy can be found in passive electronic components called capacitors. A capacitor is made up of two conducting plates that are separated from one another by a substance known as the dielectric.A capacitor is an electrical component with two terminals that has the ability to store energy in the form of an electric charge. Two electrical cables are used, and they are spaced apart. Vacuum or an insulating substance known as a dielectric can fill the gap between the conductors. To keep the voltage at a specific level, capacitors are also employed. The voltage pulsation can be lessened by using them.
To learn more about capacitor refer to:
https://brainly.com/question/21851402
#SPJ4
Find the mass in kg, if the energy is 7.81 x10^13
Answer:
sorry
Explanation: