Answer:
15 cups of flour to make 60 cookies
Explanation:
first, do 60 divided by 25.
then we MULTIPLY the recipe by 2.5
24x2.5=60 amount of cookies
4x2.5=10 cups of sugar
6x2.5=15 cups of flour
15 cups of flour to make 60 cookies
:DDD
Answer:
15 cups of flour
Explanation: 60 times 6 = 360
24x=360
360 divided by 24 is 15.
What will happen to the gravitational force between two bodies if the masses of one body is doubled?
Answer:
If the mass of one body is doubled, force is also doubled.
Taking into account the Universal Law of Gravitation, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.Gravitational force if the masses of one body is doubledBy definition of gravitational force, the greater or lesser the value of any of the masses causes the force to be greater or lesser respectively.
Finally, if the masses of one body is doubled, the gravitational force between two bodies is also doubled.
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A group of students performed a compression experiment where they placed weights on top of a cylinder of material and measured the change in the cylinder’s height. The cylinder had a radius of 2 cm, and an initial height of 10 cm. This group of students would like to know what kind of material their cylinder was. Based on their data shown below, and the Young’s modulus values shown, which of the materials below could the cylinder be made from? Select all that apply.
Based on the calculated Young’s modulus of the material, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.
What is Young’s modulus?Young's modulus, Y is a measure of a solid's ability to resist deformation in its length under stress or strain.
Mathematically,
Young’s modulus Y = stress/strainwhere:
stress = Force/areastrain = extension/original lengthY = Fl/Ae
Area of the cylinder = πr^2where;
π = 3.14
r = 2 cm = 0.02
Area of the cylinder = 3.14 × 0.02^2 = 0.00125 m^2
When a mass 5 kg was placed on the cylinder:
F = 5 × 10 = 50 N
l = 10 cm = 0.1 m
e = 10 - 7.73 = 0.39 cm = 0.0039 m
A = 0.00125 m^2
Using Y = Fl/Ae
Y = (50 × 0.1)/(0.00125 × 0.0039)
Y = 1025641.026 N/m^2
1 N/m^2 = 1 × 10^-9 GPa
Y = 0.001025 Gpa
When a mass 50 kg was placed on the cylinder:
F = 50 × 10 = 500 N
l = 10 cm = 0.1 m
e = 10 - 7.73 = 2.27 cm = 0.0227 m
A = 0.00125 m^2
Using Y = Fl/Ae
Y = (500 × 0.1)/(0.00125 × 0.0227)
Y = 1762114.537 N/m^2
1 N/m^2 = 1 × 10^-9 GPa
Y = 0.00176 Gpa
The Young’s modulus of the material is between 0.001025 Gpa and 0.00176 Gpa.
Therefore, the material the cylinder could most likely be made of is butyl rubber which has a Young’s modulus of 0.001 to 0.002 GPa.
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The material that the cylinder is made from is Butyl Rubber.
What is Young's modulus?
Young's modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive strength of a solid material when a force is applied to it.
Area of the cylinderA = πr²
[tex]A = \pi \times (0.02)^2 = 0.00126 \ m^2[/tex]
Young's modulus of the cylinder[tex]E = \frac{stress}{strain} \\\\E = \frac{F/A}{e/l} \\\\E = \frac{Fl}{Ae} \\\\[/tex]
Where;
e is extensionWhen 5 kg mass is applied, the extension = 10 cm - 9.61 cm = 0.39 cm = 0.0039 m.
[tex]E = \frac{(5\times 9.8) \times 0.1}{0.00126 \times 0.0039} \\\\E = 9.97 \times 10^5 \ N/m^2\\\\E = 0.000997 \times 10^9 \ N/m^2\\\\E = 0.000997 \ GPa\\\\E \approx 0.001 \ GPa[/tex]
When the mass is 50 kg,
extension = 10 cm - 7.73 cm = 2.27 cm = 0.0227 m
[tex]E = \frac{(50\times 9.8) \times 0.1}{0.00126 \times 0.0227} \\\\E = 1.7 \times 10^6 \ N/m^2\\\\E = 0.0017 \times 10^9 \ N/m^2\\\\E = 0.0017 \ GPa\\\\E \approx 0.002 \ GPa[/tex]
The Young's modulus is between 0.001 GPa to 0.002 GPa
Thus, the material that the cylinder is made from is Butyl Rubber.
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a car slows down from 20 m/s to 10 m/s in 5 seconds. what is it’s acceleration
Answer:
-2 m/s²
Explanation:
Calculate the Young's moduli for each of the trials shown, and then determine the average. What is the average Young's modulus, in units kN/m2? (Hint: The number should be on the order of 1000's of kN/m2.)
The term Young Modulus is used to describe the stress to strain of a material. and is a measure of the strength of a material.
What is Young Modulus?The term Young Modulus is used to describe the strength of a material. It is a ratio of the stress to strain of a material. The unit of Young Modulus is N/m2.
The question is incomplete hence the average Young's modulus, in units N/m2 can not be computed. This value helps an engineer to make decision regarding the use of materials for construction.
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A car is traveling at 30 m/s ( approximately 67 mph) on I-95 highway. The driver applies the brakes and the car comes to a stop in 4.0 s . What is the car's acceleration, in m/s2
Answer:
step 1 the initial velocity of the car is u = 30 m/s.the final velocity of the car is v = 0 m/s. the time taken by
What forces are acting upon you when you do a moonwalk
Answer:
u don't know friction?
Explanation:
friction?
A skateboard chsnges velocity from 15 meters per second to 5 meters per second, over the course of 5 seconds. What is the skateboards acceleration?
A. -2 m/s^2
B. +2 m/s^2
C. +0.5 m/s^2
D. -0.5 m/s^2
Option A) is correct.
We are given –
Initial velocity of skateboard is, u= 15m/sFinal velocity of skateboard is,v = 5 m/s Time taken, t = 5 secAcceleration, a =?Formula To be used:-
[tex]\qquad[/tex] [tex]\star\: \: \pink{\boxed{\frak{ a = \dfrac{(v-u)}{t}}}}[/tex]
Where–
A = Acceleration v = Final velocity u = Initial velocity t = time[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \bf \longrightarrow a = \dfrac{v-u}{t}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{5-15}{t}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{-10}{5}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow a = \cancel{\dfrac{-10}{5}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow a = -2 \:m/s^2}[/tex]
Henceforth, acceleration is -2 m/s².Answer:
-2 m/s²
Explanation:
Here it's given that a skateboard changes its velocity from 15m/s to 5m/s in an interval of 5s . We are interested in finding out the acceleration of the skateboard. Firstly we know that,
The rate of change of velocity is called acceleration. Mathematically,[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{v - u }{t} [/tex]
Here ,
initial velocity = 15m/s final velocity = 5m/stime = 5sOn substituting the respective values, we have;
[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{5m/s-15m/s}{5s}[/tex]
Simplify numerator,
[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{-10m/s}{5s}[/tex]
Divide,
[tex]\qquad\rm\twoheadrightarrow \underline{\boxed{\blue{\rm acceleration= -2\ m/s^2}}} [/tex]
Therefore, Option A is correct choice.
I need help!!! :::///
Explanation:
amazing that you learned a lot of great ideas on your summary business you well from to and as learned that they can do well with their lives for you in the past few they will be a child whose mass is the best thing) )for
Olivia is on a swing at the playground. if the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)
Answer:
from W-Z.. i think on a swing you get your most potential energy at W and Z is where you go up so Z would be where the kinetic energy increased and W is where potential energy decrease
Explanation:
hope this helps
Olivia is on a Swing at Playground - Option 2 Olivia is on a swing at the playground. Her kinetic energy increasing at x and her potential energy decreasing at x. At mean position velocity is maximum so kinetic energy ( K.E ) is also maximum and at mean position potential energy is minimum. Therefore, kinetic energy is increasing and potential energy decreasing at x.
Explanation
Credits to someone on a different answer
if a certain star emits most intensely in the visible region of the spectrum, a cooler star would emit mostly in what part of the spectrum
A cooler star would emit mostly in infrared range of the spectrum.
Emission of high temperature starsHigh temperature stars like the Sun, which are approximately 6000 K at the surface, emit most of their radiation at visible wavelengths.
Emission of the cooler starsIn stark contrast to high temperature stars, the cooler stars emit most of their radiations in the infrared (IR) range.
Thus, we can conclude that, a cooler star would emit mostly in infrared range of the spectrum.
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The moving charge in the wire causes the compass to deflect; this is because
A. the moving charge induces a magnet field
B. the energy of the charge pushes on the compass
C. the electrons heat up the wire, causing the compass to deflect
A 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec. How fast does the astronaut move backwards?
Answer:
The astronaut will get a velocity 0.064ms−1 opposite to the direction of the object.
If a 75 kg astronaut floating in space throws a 5 kg rock at 5 m/sec, then the astronaut would move backward with a speed of 0.33 meters/second.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.
P = mv
As given in the problem if a 5 kg astronaut floating in space throws a 5 kg rock at 5 m/sec,
By using the conservation of the momentum,
Assuming the initial momentum of the astronaut and ball would have been zero, the total final momentum of the system would be zero as well,
75*v +5*5 = 0
v = 25/75
v = -0.33 m/s
Thus, the astronaut would move backward with a speed of 0.33 meters/second.
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A satellite travels in a circle at 100m/s. Compare the satellites speed and velocity.
Answer:
you can one a question . then i tell the answerAn astronaut has a mass of 80kg. What is her weight on Earth?
Answer:
164
Explanation:
A flask that weighs 345.8 g is filled with 225 ml of carbon tetrachloride. The weight of the flask and carbon tetrachloride is found to be 703.55g. Calculate the density in g/ml and g/L.
Answer:
The density of carbon tetrachloride is 1.59 g/cm^3.
Given the following data:
Mass of flask = 345.8 gVolume of carbon tetrachloride = 225 mLMass of flask and carbon = 703.55 g
To find the density of carbon tetrachloride;
First of all, we would determine the mass of carbon tetrachloride;
Mass of flask and carbon = mass of flask + mass of carbon tetrachloride
703.55 = 345.8 + mass of carbon tetrachloride
Mass of carbon tetrachloride = 703.55 - 345.8
Mass of carbon tetrachloride = 357.75 g
Next, we would solve for the density of carbon tetrachloride by using the formula;
Substituting the values into the formula, we have;
Density = 1.59 g/cm^3
Therefore, the density of carbon tetrachloride is 1.59 g/cm^3.
After the softball reaches its maximum height, it falls down, speeding up.
Answer:
GRAVITY
Explanation:
Answer:
Thanks
Explanation:
After the softball leaves your hand, it rises, slowing down the SOLUTION After the softball reaches its maximum height,it falls down speeding up.
The object is speeding up
PLEASE HELP NOW!! 51 POINTS!!
A rock rolls horizontally off of a 75m cliff. The rock lands 5.11m from the base of the cliff. Calculate the initial velocity of the rock.
Answer:
it will be 3 seconds
Explanation:
initial horizontal velocity of the rock, u = 20 m/s
horizontal distance traveled by rock, R = 60 m
The the range of the projectile is given by;
R = vt
where;
v is the initial horizontal velocity of the rock
t is the time spent by the rock in air
t = R/v
t = 60 / 20
t = 3 s
What can you do to lower your carbon footprint?
Answer:
buy what you need to reduce waste, eat organic foods. drive less when transporting try walking instead of using a car or train
Explanation:
Bill runs 400 meters to Andy's house, turns around, and runs 400 meters back home. What is Bill's displacement? A. 1600 meters B. 400 meters C. 0 meters D. 800 meters
Answer:
C - 0 meters
Explanation:
Displacement is the difference in where you started and where you end up. If Bill starts at his house and ends at his house, there was no change in position, meaning Bill had no displacement. In math this would be
400 + (-400) = 400 - 400 = 0
assuming he runs in the positive direction and then in the negative direction. Either way you put it, it still ends up as 0
a car speeds up from 12 m/s to 20 m/s in 6.4 s. if its mass is 1200kg, what force must its engine provide?
Answer:
1500 N
Explanation:
• Initial velocity, u = 12 m/s
• Final velocity, v = 20 m/s
• Time taken, t = 6.4 s
• Mass, m = 1200 kg
[tex]\longrightarrow[/tex] F = ma
a = (v – u)/t, so
[tex]\longrightarrow[/tex] F = 1200 × (20 – 12)/6.4
[tex]\longrightarrow[/tex] F = 1200 × 8/6.4
[tex]\longrightarrow[/tex] F = 1200 × 80/64
[tex]\longrightarrow[/tex] F = 1200 × 40/32
[tex]\longrightarrow[/tex] F = 1200 × 20/16
[tex]\longrightarrow[/tex] F = 300 × 20/4
[tex]\longrightarrow[/tex] F = 300 × 5
[tex]\longrightarrow[/tex] F = 1500 N (Answer)
Write an activity to differenciate between saturated and unsaturated solution
Answer:
I hope it will help you have a great day bye and Mark brainlist if the answer is correct
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a heavy block is suspended from a vertical spring. the elestic potential energy is stored in the spring is 2 j. what is the spring constant if the elongation of the spring is 10 cm
Answer:
k = 100 N/m
Explanation:
The elastic potential energy of a spring is equal to (1/2)kx^2, where k is the spring constant and x is the distance compressed. If the elastic PE is equal to 2J, we can solve for k. Make sure to convert units from cm to m:
(1/2)kx^2 = 2J
kx^2 = 1
k = 1/x^2
k = 1/(0.1)^2
k = 100 N/m
A car is driving forward at a slow but constant velocity of 10 metere per second through a school zone. What is the car's acceleration?
A. The car has slowed down
B. The car has high acceleration
C. The car has no acceleration
Answer:
option b
Explanation:
hope its help
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what are you guy's zodiac sign ?!
Answer:
Capricorn what is yours
Answer:
leo
Explanation:
can anyone please how answers this
Answer:
B.
Explanation:
Completely destroy
18. Which two quantities are measured in the same units?
A. velocity and acceleration C. mass and weight
B. weight and force
D. force and mass
[tex]weight \: and \: force[/tex]
A positive charge enters a uniform magnetic field as shown. What is the direction of the magnetic force?.
From what we know, despite not having the diagram for this question, we can confirm that the magnetic force will be perpendicular to the field.
Why will the magnetic force be perpendicular?Through multiple calculations regarding the physics of the particle and the magnetic and electrical interactions, we reach the conclusion that the magnetic force will always be perpendicular to the magnetic field.
Therefore, we can confirm that the magnetic force will be perpendicular to the field.
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where does a roller coaster have kinetic and potential energy
At the top of the hill, the cars have a great deal of gravitational potential energy, equal to the cars' weight multiplied by the height of the hill. When the cars are released from the chain and begin coasting down the hill, potential energy transforms into kinetic energy until they reach the bottom of the hill.
The magnitude of the force that does the work is 43.0 N. How much work is done by this force if a bookcase is moved a distance of 5.00 m
Please someone help me with this
Answer:
I believe it is D
Explanation: