Answer:
The volume is increased in a ratio of 64/27
Explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
If the radius was changed to r', the new volume would be:
[tex]\displaystyle V'=\frac{4}{3}\cdot \pi\cdot r'^3[/tex]
Dividing the latter equation by the first one:
[tex]\displaystyle \frac{V'}{V}=\frac{\frac{4}{3}\cdot \pi\cdot r'^3}{\frac{4}{3}\cdot \pi\cdot r^3}[/tex]
Simplifying:
[tex]\displaystyle \frac{V'}{V}=\frac{r'^3}{r^3}[/tex]
Or, equivalently:
[tex]\displaystyle \frac{V'}{V}=\left(\frac{r'}{r}\right)^3[/tex]
Since r':r = 4:3, thus:
[tex]\displaystyle \frac{V'}{V}=\left(\frac{4}{3}\right)^3[/tex]
[tex]\displaystyle \frac{V'}{V}=\frac{4^3}{3^3}[/tex]
[tex]\displaystyle \frac{V'}{V}=\frac{64}{27}[/tex]
The volume is increased in a ratio of 64/27
A wheelchair ramp is 5.2 m long and 0.8 m high. Calculate the ramp’s mechanical advantage
Answer:
5
Explanation:
62
Two objects, one 4 times as massive as the other, are approaching each other under their mutual gravitational
attraction. When the separation between the objects is 100 km, the acceleration of the lighter object is 1 m/
s2. When the separation between them is 25 km, the acceleration of the heavier object is
To Find :
The acceleration of the heavier object.
Solution :
Force of gravitation on lighter object by heavier object is :
[tex]F = \dfrac{Gm(4m)}{100^2}[/tex]
Acceleration of lighter object is given by :
[tex]a_s = \dfrac{4Gm}{100^2}\\\\m = \dfrac{50^2}{G}[/tex] .....1)
Now, acceleration of heavier object when separation between them is 25 km :
[tex]4ma_h = \dfrac{Gm(4m)}{25}\\\\a_h = \dfrac{Gm}{25}[/tex].....2)
Putting value of m in equation 2, we get :
[tex]a_h = \dfrac{G\times 50^2}{G \times 25}\\\\a_h = \dfrac{2500}{25}\\\\a_h = 100\ m/s^2[/tex]
Therefore, the acceleration of the heavier object is 100 m/s².
A car of weight 11000 N moves with constant velocity along a horizontal road.A driving force of 5000 N acts on the car what is the force opposing the motion of the car
Answer:
5000 N
Explanation:
Since F - f = ma, where F = driving force = 5000 N, f = opposing force, m = mass of car and a = acceleration of car.
Since the car is moving with constant velocity, a = 0.
So, F - f = ma
F - f = m(0)
F - f = 0
F = f.
Since F = 5000 N and F = f, f = 5000 N.
So, the opposing force is 5000 N
The opposing force car, weight 11000 N that is moving at constant velocity is 5000 N.
The opposing force can be calculated by the formula,
F - f = ma
Where,
F = driving force = 5000 N,
f = opposing force = ?
m = mass of car = 11000 N
a = acceleration of car
Since, the car is at constant velocity, a = 0.
So,
F - f = m(0)
F - f = 0
F = f.
Therefore, the opposing force car, weight 11000 N that is moving at constant velocity is 5000 N.
To know more about opposing force,
https://brainly.com/question/866413
A car accelerates at a rate of 2.0 m/s2. If its original speed is 8.0 m/s, how many seconds will it take the car to reach a final speed of 28.0 m/s?
Answer:
[tex]\huge\boxed{\sf Time = 10 \ seconds}[/tex]
Explanation:
Given:
Initial Velocity = [tex]\sf V_{i}[/tex] = 8.0 m/s
Final Speed = [tex]\sf V_{f}[/tex] = 28.0 m/s
Acceleration = a = ?
Required:
Time = t = ?
Formula:
[tex]\sf a = \frac{V_{f} - V_{i}}{t}[/tex]
Solution:
[tex]\sf 2 = \frac{28-8}{t} \\\\2 = \frac{20}{t} \\\\t = \frac{20}{2} \\\\t = 10 \ seconds\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807write any one advantage and disadvantage of eddy current
Explanation:
[tex]advantage[/tex]
It is Sensitivity to surface defects. ...
[tex]disadvantage[/tex]
There is a major heat loss during cycling eddy currents due to friction in the magnetic circuit, especially where the core is saturated
Please mark as brainliest answer
URGENT )If you drive your 1,000 kg car from sea level up to the mountain, which is 366 m above sea level, how much will you have increased your car's potential energy?(consider : g=10m/s2)
1 point
a) 366,000 J
b) 3,660,000 J
c) 2.73 J
d) 20.73 J
Answer:
(B) the increase in the car's potential energy is 3,660,000 J
Explanation:
Given;
mass of the car, m = 1,000 kg
height through the car was drove, h = 366 m
acceleration due to gravity, g = 10 m/s²
The increase in the car's potential energy is calculated as;
P.E = mgh
P.E = 1000 x 10 x 366
P.E = 3,660,000 J
Therefore, the increase in the car's potential energy is 3,660,000 J
the multimeter functions as an ammeter
Answer: What?
Explanation:
Which of these waves has the greatest wavelength? Group of answer choices Wave shown with 2 wavelengths. Wave shown with 3 wavelengths. Wave shown with 1 wavelength stretch over a short distance. Wavelength shown with 1 wavelength stretched over a long distance.
Answer:
This question is incomplete
Explanation:
This question is incomplete because of the absence of the figure. However, wavelength can be described as the distance between two crests (identical points) of a wave (as illustrated in the picture attached). Thus, a wave with a large/great wavelength must have a long distance between the two crests and has nothing to do with the number of crests/wavelengths since distance between crests could also be small.
Hence, what appears to be the correct option is the last option (Wavelength shown with 1 wavelength stretched over a long distance).
Answer:
Its B.
Explanation:
Im took the exam.
A box has a momentum of 38.0 kg*m/s to the right. A 88.3 N force pushes it to the right for 0.338 s. What is the final momentum of the box? (unit = kg*m/s)
Answer:
63.8454kgm/s
Explanation:
According to Newton's second law;
Force = mass ×acceleration
Fore = m(v-u)/t
Force = mv-mu/t
MV is the final momentum
mu is the initial momentum = 38kgm/s
Force = 88.3N
Time = 0.338s
Substitute and get mv
88.3 = mv-38/0.338
88.3×0.338 = mv-38
29.8454 = mv-38
MV = 29.8454+34
mv = 63.8454kgm/s
Hence the final momentum is 63.8454kgm/s
Answer:
67.8
Explanation:
im an acellus student, and this is the answer that i got when doing the problem.
A billiard ball bangs against a side bumper, giving the ball a speed of 5 m/s. If the
ball has a mass of 0.15 kg, what is the ball's kinetic energy in joules?
Answer:
1.875 joules
Explanation:
K.E=1/2 mv²
K.E=1/2 0.15×5²
K.E=1.875 joules
Determine the velocity of a wave with frequency 10Hz and a wavelength of 10m.
Answer:
A wave with a frequency of 10 Hz and a wavelength of 10 m should have a velocity of 100 meters per second (m/s)
Explanation:
A man is standing on the edge of a 20.0 m high cliff. He throws a rock horizontally with an initial velocity of 10.0 m/s.
a. How long does it take to reach the ground?
b. How far does the rock land from the base of the cliff?
Answer:
a. t = 2.02 s
b. d = 20.2 m
Explanation:
Horizontal Motion
If an object is thrown horizontally from a height h with a speed v, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.
The time the object takes to hit the ground can be calculated as follows:
[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]
The time does not depend on the initial speed.
The range or maximum horizontal distance traveled by the object can be calculated by the equation:
[tex]\displaystyle d=v.t[/tex]
The man standing on the edge of the h=20 m cliff throws a rock with an initial horizontal speed of v=10 m/s.
a.
The time taken by the rock to reach the ground is:
[tex]\displaystyle t=\sqrt{\frac{2*20}{9.8}}[/tex]
[tex]\displaystyle t=\sqrt{4.0816}[/tex]
t = 2.02 s
b.
The range is:
[tex]\displaystyle d=10\cdot 2.02[/tex]
d = 20.2 m
A ball of Mass M is swung in a vertical circle with a constant tangential speed. Figure 1 shows the forces exerted on the ball at the top of the circle, and Figure 2 shows the forces exerted on the ball at the bottom of the circle. Which of the following is an expression for the centripetal acceleration of the ball in terms of M, T1, T2, and any fundamental constants?
Answer:
T1+T2/2M
Explanation:
The expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].
In a vertical circular motion, the tension of the swing at the top of the circle is given as;
[tex]T_1 =m a_c_{top} - mg\\\\T_1 = ma_c - mg\\\\mg = ma_c - T_1[/tex]
The tension of the swing at the bottom of the circle is given as;
[tex]T_2 = ma_{bottom} + mg\\\\T_2 = ma_c + mg[/tex]
solve the two equations together;
[tex]T_2 =ma_c + ( ma_c -T_1)\\\\T_2 = ma_c + ma_c - T_1\\\\T_2 + T_1 = 2ma_c\\\\a_c = \frac{T_1 + T_2}{2m}[/tex]
Thus, the expression for the centripetal acceleration for the vertical circle is [tex]a_c = \frac{T_1 + T_2 }{2m}[/tex].
Learn more here:https://brainly.com/question/14881568
your stopped at a red light. You've checked the intersection to see that it is clear of vehicles and pedestrians, unless a tells you not, you may then?
Answer:
Unless you are at a red light you may not proceedYou pose a threat to other drivers who are following the instructions and ethics.what is the correct answer?
Answer:
i cant explain well but the answer is letter b
x-5
Explanation:
dont report me or i will report you too
Answer:
x-5 is the answer
Explanation:
pick her as the brainliest
Dawn and Timothy are sailboating in Lake Obewon. Starting from rest near the shore, they accelerate with a uniform acceleration of 0.39 m/s/s. How far are they from the shore after 18 seconds? *
Answer:
The value is [tex]s =63.18 \ m[/tex]
Explanation:
From the question we are told that
The uniform acceleration is [tex]a = 0.39 \ m/s^2[/tex]
The time considered is [tex]t = 18 \ seconds[/tex]
Generally the from kinematic equation we have that
[tex]s = ut + \frac{1}{2} at^2[/tex]
Given that the boat started from rest , the initial velocity is u = 0 m/s
So
[tex]s = 0 * 18 + \frac{1}{2} *0.39 * 18^2[/tex]
=> [tex]s =63.18 \ m[/tex]
HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST
What is a selectively permeable membrane?????????????
Answer: The plasma membrane is called a selectively permeable membrane as it permits the movement of only certain molecules in and out of the cells. Not all molecules are free to diffuse. If plasma membrane ruptures or breaks down then molecules of some substances will freely move in and out of the cells. Semipermeable membrane describes a membrane that allows some particles to pass through (by size), whereas the selectively permeable membrane "chooses" what passes through (size is not a factor). Selective permeability is a property of cellular membranes that only allows certain molecules to enter or exit the cell. This is important for the cell to maintain its internal order irrespective of the changes to the environment. For example, water, ions, glucose and carbon dioxide may need to be imported or exported from the cell depending on its metabolic activity. Similarly, signaling molecules may need to enter the cell and proteins may need to be released into the extracellular matrix. The presence of a selectively permeable membrane allows the cell to exercise control over the quantum, timing and rate of movement of these molecules.
Explanation: hope this helps you with your work/assingment! Have a wonderful day/night!
please help me on the 1st bullet point for brainliest!
Answer:
thermal energy
Explanation:
Can someone help me with this question??
Answer:
3.3
Explanation:
You’ve been in a car traveling at 80 km/hr. How many hours will it take to travel 640 km?
What is the correct answer?
Answer:3
Explanation:
Free fall differs from terminal velocity, in that during free fall
A.
only air resistance is acting on an object
B.
only gravity is acting on an object
C.
air resistance and gravity are acting on an object with unequal magnitudes
D.
air resistance and gravity are acting on an object with equal magnitudes
Answer:
B
Explanation:
difference between lower fixed point and upper fixed point
Answer:
The lower fixed point, or ice point, is the temperature of pure melting ice at normal atmospheric pressure. The upper fixed point, or steam point, is the temperature of pure boiling water at normal atmospheric pressure.
Explanation:
HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
Describe chromatin and how it changes.
Answer:
Chromatin is a mass of genetic material composed of DNA and proteins that condense to form chromosomes during eukaryotic cell division. Chromatin is located in the nucleus of our cells . The primary function of chromatin is to compress the DNA into a compact unit that will be less voluminous and can fit within the nucleus.
I hope this helps
Explanation:
Answer: Me again! Chromatin is a complex of DNA and proteins that forms chromosomes within the nucleus of eukaryotic cells. Nuclear DNA does not appear in free linear strands; it is highly condensed and wrapped around nuclear proteins in order to fit inside the nucleus. Chromatin exists in two forms.
Explanation: Hope this helps! Happy Holidays!
What is the kinetic energy of a 0.150 kg
object moving at a velocity of 100m/s?
Answer:
750J
Explanation:
Given parameters:
Mass of the object = 0.15kg
Velocity of the object = 100m/s
Unknown:
Kinetic energy of the body = ?
Solution:
The kinetic energy is the energy due to the motion of a body. It is mathematically expressed as;
K.E = [tex]\frac{1}{2}[/tex] m v²
m is the mass of the body
v is the velocity
Now insert the parameters and solve;
K.E = [tex]\frac{1}{2}[/tex] x 0.15 x 100² = 750J
what is the correct answer?
Answer:
3.2
Explanation:
I remember taking this quiz and I think that one is correct
n=Q/e formula of this?
Answer:
Its not just a mere formula . It tells a hell lot about charges .
q = ne . As you know , q stands for charge and e stands for charge on an electron . As for n , it represents an integer.
This whole q=ne thing represents quantisation of charge. The formula tells us that charge is quantized ( in the form of small packets)
Every body on this small earth has a charge which has to be an integral multiple of ‘e’ . So , we represent charge on a body(q) as
q=ne.
Hence the formula .
I hope you got what I want to say .
Thanks for reading .
help!!!! please!!! i’m not sure what the answer is for both questions please
Answer:
a.) 600N
b.) 2 m/s^2
Explanation:
a.)
In order to solve for the needed force, you must use Newton's 2nd law which states that a force is equal to mass multiplied by acceleration.
Basically: Force = mass * acceleration ; F = ma
Since both mass and acceleration are already given, just plug them into the formula and solve for force:
Mass = 200kg
Acceleration = 3m/s^2
F = m * a = 200 * 3 = 600kg * m/s^2 = 600N
b.)
In order to find the acceleration, like the hint already says, you need to find the net force first and then use Newton's 2nd law.
To calculate net force:
Since both forces are parallel (affect the same axis) and in opposite directions, you can subtract the two in order to find resultant magnitude. The resultant direction is the direction of the force with the large magnitude.
Net Force: 8N - 4N = 4N
Net Force Direction: since 8N > 4N, the direction is in the same direciton as the 8N force = Left
Finally, you find acceleration using newton's 2nd law, F = ma.
Since you already know mass and net force, plug in to solve for acceleration:
4N = 2kg * a
a = 4 N / 2kg = 2m/s^2
A car traveling at a speed of 13 meters per second accelerates uniformly to a speed of 25 meters per second in 5.0 seconds. 11- Calculate the magnitude of the acceleration of the car during this 5.0-second time interval.
Answer:
[tex]a=2.4\ m/s^2[/tex]
Explanation:
Given that,
Initial speed of a car, u = 13 m/s
Final speed of a car, v = 25 m/s
Time, t = 5 s
We need to find the acceleration of the car during this 5.0 second time interval. Let a is the acceleration. It can be calculated as :
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{25-13}{5}\\\\=2.4\ m/s^2[/tex]
So, the acceleration of the car is [tex]2.4\ m/s^2[/tex].
If a student is sitting in their chair and the leg of the chair breaks the student will __________ toward the floor because the gravity is a greater force.
A.Accelerate
B.Force
C.Balance
D.Speed
Answer:
theyll accelerate towards the floor :)
