Answer:
[tex]x =\frac{-R}{2}[/tex]
Explanation:
From the question we are told that mass
Thin layer radius [tex]= 2R[/tex]
Generally the expression for ths solution is given as
Xcm =(m*0 =m(-2R))/2m =-mR/(2m)=-R/2
the center of mass will not move at initial state
Considering the center of mass of both bodies
[tex]xcm=\frac{m*x+m*x)}{2m} =x[/tex]
[tex]x =\frac{-R}{2}[/tex]
Therefore the enclosing layer moves [tex]x =\frac{-R}{2}[/tex]
The shell move from its initial contact point with the surface is,
[tex]x =\dfrac{-R}{2}[/tex]
Given-
Radius of the ball is [tex]R[/tex].
the mass of the ball is [tex]m[/tex].
The mass of the thin shell is [tex]m[/tex].
The radius of the thin shell is [tex]2 R[/tex].
For the two bodies with mass [tex]m[/tex], the center of mass can be given as,
[tex]x_{cm}=\dfrac{m_{1} x_{1}+m_{2} x_{2} }{m_{1} +m_{2}}[/tex]
In the given question, the mass of both the bodies are equal and the given distance of center of mass for both bodies are also equal. Therefore,
[tex]x_{cm}=\dfrac{m x_+mx }{m +m}[/tex]
[tex]x_{cm}=\dfrac{2mx }{2m}[/tex]
[tex]x_{cm} =x[/tex]
Distance for center of mass can also be given as,
[tex]x_{cm} =m\times o[/tex]
[tex]x_{cm} =m\times \dfrac{-R}{2m}[/tex]
[tex]x_{cm} =\dfrac{-R}{2}[/tex]
Comparing both the values of the distance of center of mass we get,
[tex]x =\dfrac{-R}{2}[/tex]
Hence, The shell move from its initial contact point with the surface is,
[tex]x =\dfrac{-R}{2}[/tex]
For more about the center of mass follow the link below,
https://brainly.com/question/8662931
A psychologist wants to identify how the holiday season impacts the anxiety levels of Americans. She wants to get results on the feelings of anxiety from over one million Americans in the next month. What design should she use and why?
Answer: survey
Explanation:
A survey can be an interview or a questionnaire which is given to a particular group in order to know their characteristics or opinions, towards certain issues.
Since the psychologist wants to get results on the feelings of anxiety from over one million Americans in the next month, the survey should be used.
Which disadvantage of nuclear power use poses the greatest threat to the environment?
the emission of greenhouse gases
the proliferation of nuclear materials
the storage and management of radioactive wastes
the high cost of building facilities
The correct answer is The storage and management of radioactive wastes
Explanation:
In general, nuclear reactions (changes in the nucleus of an atom such as fission) release a lot of energy including a lot of heat. Moreover, this heat is used by humans to obtain electricity and other types of energy, which is known as a nuclear power. This type of power is considered positive because it does not emit carbon and it is quite efficient.
However, in most cases, it is a threat to the environment and living beings because storing and managing the wastes of this type of power is difficult and expensive. Indeed, dealing with the wastes of nuclear power requires complex infrastructure, and any accident or leaking leads to serious consequences from the death of those exposed to the wastes to permanent loss of diversity or changes in nearby areas.
Answer:
C. The storage and management of radioactive wastes
Explanation:
For many years the posted highway speed limit was 88.5 km/h but in recent years some rural stretches of highway have increased their speed limit to 104.6 km/h. In Maine the distance from Portland to Bangor is 215 km. How much time can be saved in making this trip at the new speed limit?
Answer:
Time Saved = 0.374 h = 22.4 min
Explanation:
First we calculate the time required at old speed limit:
s = v₁t₁
where,
s = distance from Portland to Bangor = 215 km
v₁ = old speed limit = 88.5 km/h
t₁ = time taken with old speed limit = ?
Therefore,
215 km = 88.5 km/h (t₁)
t₁ = (215 km)/(88.5 km/h)
t₁ = 2.429 h
Now, we calculate the time taken at the new speed limit:
s = v₂t₂
where,
s = distance from Portland to Bangor = 215 km
v₂ = new speed limit = 104.6 km/h
t₂ = time taken with new speed limit = ?
Therefore,
215 km = 104.6 km/h (t₂)
t₂ = (215 km)/(104.6 km/h)
t₂ = 2.055 h
So, the time saved will be:
Time Saved = t₁ - t₂ = 2.429 h - 2.055 h
Time Saved = 0.374 h = 22.4 min
9. A student notices that wearing darker colors in sunlight makes him feel warmer, so he decides to conduct an experiment. He takes five pieces of different
colored cloth and wraps
each one around a water bottle. He then places all five bottles in direct sunlight and measures the temperature of the water in each bottle an hour later
What is the dependent variable in this experiment?
O the time he leaves it in the sunlight
O the amount of water in each bottle
O the color of the cloth
O the temperature of the water
Answer: 4
Explanation:
The dependent variable is the temperature of the water.
A heat lamp produces 32.8 watts of power at a wavelength of 6.5 mm. How many photons are emitted per second
Answer: 1.1x10^21 photons / sec
Explanation:energy per photon
.. E / photon = hc / L = (6.626x10^-34 J x sec) x (3.00x10^8 m/sec) / (6.5x10^-6m)
.. E / photon = 3.06x10^-20 J / photon
then
.. (32.7 watts) x (1 J/sec / 1watt) x (1 photon / 3.06x10^-20J) = 1.1x10^21 photons / sec
The number of photons are emitted per second will be "1.07".
According to the question,
Power,
P = 32.8 watts= 32.8 J/s
Wave length,
λ = 6.5 μm= [tex]6.5\times 10^{-6}[/tex]
As we know,
→ [tex]E = \frac{hc}{\lambda}[/tex]
By substituting the values, we get
[tex]= \frac{32.8}{\frac{(4.42\times 10^{-34})(3\times 10^{-4})}{4.5\times 10^{-6}} }[/tex]
[tex]= \frac{32.8}{3.055e}[/tex]
[tex]= 1.07[/tex]
Thus the above answer is correct.
Learn more about Photons here:
https://brainly.com/question/14758290
a spy satellite of mass of 1000 kg is orbiting the earth at an altitude of 300 km/s
a) what is its period
b) what is its orbital speed
Answer:
a) The period of the satellite is approximately 5,425.305 seconds (1.507 hours)
b) The orbital velocity of the satellite is approximately 7,725.8565 m/s
Explanation:
The given parameters are;
The mass of the satellite, m = 1,000 kg
The altitude at which the satellite is orbiting, h = 300 km
a) The period of the satellite is given as follows;
[tex]T = 2 \times \pi \times \sqrt{\dfrac{(R + h)^3}{g \times R^2} }[/tex]
Where;
R = The radius of the Earth = 6.371 × 10⁶ m
g = The acceleration due to gravity = 9.81 m/s²
h = The altitude of the orbit of the satellite = 300 km = 300,000 m
By substitution, we have;
[tex]T = 2 \times \pi \times \sqrt{\dfrac{((6.371 + 0.3)\times 10^6)^3}{9.81 \times (6.371 \times 10^6)^2} } \approx 5,425.305[/tex]
T ≈ 5,425.305 seconds ≈ 1.507 hours
b) The orbital velocity of the satellite is given as follows;
[tex]v_0 = \sqrt{\dfrac{G \times M_{central}}{R + h} } = \sqrt{\dfrac{g \times R^2}{R + h} }[/tex]
Where;
v₀ = The orbital velocity of the satellite
Which by substitution gives;
[tex]v_0 = \sqrt{\dfrac{9.81 \times (6.371 \times 10^6)^2}{(6.371 + 0.3) \times 10^6} } = 7,725.8565[/tex]
The orbital velocity, v₀ = 7,725.8565 m/s.
PLSS HELPPP Which is a better deal: a 2 terabyte external hard drive for $100, or a
400-gigabyte hard drive for $50?
Answer:two terabyte external hard drive for $100
Explanation:
What is the momentum of a 70 kg man who is running with a velocity of 2.5 m/s?
Answer:
175kg.m/s
Explanation:
Momentum= mv 70kg*2.5m/s
a sports event, the car starts from rest, in 5.0 s its acceleration is 5.0 m/s2.
culate the distance travelled by car.
Answer:
62.5m
Explanation:
Given parameters:
Time = 5s
Acceleration = 5m/s²
Unknown:
Distance traveled by car = ?
Solution:
To solve this problem, we use one of the motion equations as given below:
S = ut + [tex]\frac{1}{2}[/tex] at²
S is the distance traveled
t is the time taken
u is the initial velocity = 0m/s
a is the acceleration
Now insert the parameters and solve;
S = (0 x 5) + ([tex]\frac{1}{2}[/tex] x 5 x 5²) = 62.5m
Consider a 12.5 kg baby tiger in a tree has 490 J of gravitational potential energy. Determine the height of the tiger above the ground?
Answer:
[tex]\boxed {\boxed {\sf 4 \ meters}}[/tex]
Explanation:
Gravitational potential energy can be found using the following formula:
[tex]E_P=m*g*h[/tex]
where m is the mass, g is the gravitational acceleration, and h is the height.
The mass of the tiger is 12.5 kilograms. The gravitational acceleration on Earth is 9.8 m/s².
The potential energy is 490 Joules. Convert the units to simplify cancelling units later. 1 Joule is equal to 1 kilogram * meter² /second²Our answer of 490 J = 490 kg*m²/s²[tex]m= 12.5 \ kg \\g= 9.8 \ m/s^2\\E_p= 490 \ kg*m^2/s^2[/tex]
Substitute the values into the formula.
[tex]490 \ kg*m^2/s^2 = 12.5 \ kg * 9.8 \ m/s^2 *h[/tex]
Multiply 12.5 kg and 9.8 m/s²
12.5 kg* 9.8 m/s² = 122.5 kg*m/s²[tex]490 \ kg*m^2/s^2 = 122.5 \ kg *m/s^2 *h[/tex]
Since we are trying to solve for h, we must isolate it. Since h is being multiplied by 122.5, we must divide both sides by that number because the inverse of division is the inverse of multiplication.
[tex]\frac{490 \ kg*m^2/s^2} { 122.5 \ kg *m/s^2}= \frac{ 122.5 \ kg *m/s^2 *h }{ 122.5 \ kg *m/s^2}[/tex]
Note that when dividing, the kg*m/s² will cancel each other out, but a m (meter) will be left.
[tex]\frac{490 \ m }{122.5} =h[/tex]
[tex]4 \ m =h[/tex]
The tiger was 4 meters above the ground.
True or false Adding salt to a pot of water will decrease the temperature that water boils at.
Answer:water gets hot at 212 so incress
Explanation:
Answer:
False
Explanation:
It will increase
12. A baseball player throws a ball. While the 700.0-g ball is in the pitcher’s hand, there is a force of 125 N on it. What is the acceleration of the ball?
Answer:
F=ma
125N=.7*a solve for a.
Explanation:
PLEASE ANSWER QUICK I WILL DO BRAINLIEST.
The four objects are dropped from a balcony at the same time in a vacuum. (image)
amount of force: (f=ma)
feather: 0.006*9.8 = 0.0598 N
frisbee: 0.15*9.8 = 1.47 N
bowling ball: 5*9.8 = 49 N
golf ball: 0.04*9.8 = 0.392 N
Using Newton’s second law, explain which object will hit the ground with the most force? Use the calculations above to support your response.
Answer:
the bowling ball or the frisbee
Explanation:
I think it's the bowling ball or the frisbee. I am not really sure, so if you get it wrong I am extremely sorry!!
Which of the following is a negative affect of palm oil farming related to biodiversity?
Question 2 options:
Palm oil is poisonous to local animals, causing many deaths.
Planting palm oil plantations removes essential nutrients from the soil.
Planting palm oil plantations means cutting down natural rainforests.
Palm oil farming has no negative effects on biodiversity.
Answer:
The main facts about palm oil
Here are the main facts why palm oil plantations are harming the environment: They release massive amounts of CO2 in the air as rainforests are cleared. Rainforests' soils hold about 45% of the world's terrestrial carbon, cutting them down is like releasing a carbon bomb.The production of palm oil can result in land grabs, loss of livelihoods and social conflict, and human rights are often violated on plantations. The resulting conflicts have had a significant impact on the social welfare of many. Read more. Palm oil is one of the most profitable land uses in the tropics.Explanation:
The main facts about palm oil
Here are the main facts why palm oil plantations are harming the environment: They release massive amounts of CO2 in the air as rainforests are cleared. Rainforests' soils hold about 45% of the world's terrestrial carbon, cutting them down is like releasing a carbon bomb.The production of palm oil can result in land grabs, loss of livelihoods and social conflict, and human rights are often violated on plantations. The resulting conflicts have had a significant impact on the social welfare of many. Read more. Palm oil is one of the most profitable land uses in the tropics.Different sources of heat . Explain
Answer:
sun,fire
Explanation:
The main source of heat is sun. It is because there is so much pressure in the core of sun that nuclear fusion takes place: hydrogen is changed to helium. Nuclear fusion creates heat and light.
can somebody calculate the velocity of this? ill give 30 points
Answer:
2m/s
Explanation:
time is 5 seconds
distance is 10m
the formula for velocity is v=d/t
so, v=10/5
v=2 m/s
At which point is the object not moving?
A
B
C
D
All of these.
None of these.
Hello!
Define heredity, please.
Answer:
the sum of all biological processes by which particular characteristics are transmitted from parents to their offspring
Which of the technologies could mostly like be found in a wearhouse
A steel rod has a diameter of 3.75cm.Express it's diameter in millimeters and meter
Answer:
3.75cm into millimetres
= 3.75 * 10
37.5 millimetres
3.75 cm into metres
3.75/100
= 0.0375m
FAST ANSWERS PLS ! **
Describe a time when you took a big risk. Tell why it was risky and what you learned about yourself.
Answer:
You have to answer this in your opinion!
Anyways, A time I took a big risk was when I decided to talk to strangers online. It was risky because the stranger was harrasing me and doing bad stuff to me online. I learned about online safety and I learned to be careful who I talk to online! :)
Explanation:
How much energy is required to raise the temperature of 5.0 g of silver from 298 K to
334 K?
Answer:
43.2J
Explanation:
Q = m × c × ∆T
Where:
Q = amount of energy
m = mass (grams)
c = specific heat capacity
∆T = change in temperature
Mass = 5.0g
Specific heat capacity of Silver (Ag) = 0.240 J/g°C
We need to convert the temperature from Kelvin (K) to °C
Initial temperature = 298 - 273 = 25°C
Final temperature = 334 - 273 = 61°C
Q = 5 × 0.240 × (61°C - 25°C)
Q = 1.2 × 36
Q = 43.2J
A 48 N force accelerates a block at 6 m/s/s. What is the mass of the block?
Answer:8
Explanation:
m=f/a
48/6=8
Calculate the speed of a dog running through a yard covering 24m in 52s
Answer:
0.46 m/s (meters/second)
Explanation:
speed = distance/timespeed = 24/52speed = 0.461538462 m/sRounding this, we get speed = 0.46 m/s1. *A car is going over the top of a hill whose curvature approximates a circle of radius 200 m. At
what velocity will the occupants of the car appear to weigh 20% less than their normal weight (or
their normal weight times 0.8)?
Answer:
The velocity of motion at which the occupants of the car appear to weigh 20% less than their normal weight is approximately 19.81 m/s
Explanation:
The given parameters are;
The curvature of the hill, r = 200 m
Due to the velocity, v, the occupants weight = 20% less than the normal weight
The outward force of an object due to centripetal (motion) force is given by the following equation;
[tex]F_c = \dfrac{m \times v^2}{r}[/tex]
Where;
r = The radius of curvature of the hill = 200 m
Given that the weight of the occupants, W = m × g, we have;
[tex]F_c = 0.2 \times W = 0.2 \times m \times g[/tex]
[tex]\therefore 0.2 \times m \times g = \dfrac{m \times v^2}{r}[/tex]
v = √(0.2 × g × r)
By substitution, we have;
v = √(0.2 × 9.81 × 200) ≈ 19.81
The velocity of motion at which the occupants of the car appear to weigh 20% less than their normal weight ≈ 19.81 m/s.
The velocity is 19.81 m/sec at which the occupants of the car appear to weigh 20% less than their normal weight and this can be determined by using the formula of centripetal force.
Given :
A car is going over the top of a hill whose curvature approximates a circle of radius 200 m.
The centripetal force acting on the car is given by the formula:
[tex]\rm F_c = \dfrac{mv^2}{r}[/tex] ---- (1)
where m is the mass of a car, v is the velocity of the car and r is the radius of curvature.
Now, it is given that the occupants of the car appear to weigh 20% less than their normal weight that means:
[tex]\rm F_c = 0.2\times W[/tex]
[tex]\rm F_c = 0.2 \times m \times g[/tex] --- (2)
Now, equate equation (1) with equation (2).
[tex]\rm \dfrac{mv^2}{r}=0.2\times m \times g}{}[/tex]
[tex]\rm v = \sqrt{0.2\times g \times r }[/tex]
[tex]\rm v = \sqrt{0.2\times 9.81 \times 200 }[/tex]
v = 19.81 m/sec
The velocity is 19.81 m/sec at which the occupants of the car appear to weigh 20% less than their normal weight.
For more information, refer to the link given below:
https://brainly.com/question/11324711
A car traveled 885mi from El Paso, TX to Dallas, TX in 12.5 hours. What was the car's average speed?
Answer:
The car's average speed is 70.8 mph
Explanation:
The given parameters are;
The total distance traveled = 885 miles
The time of travel = 12.5 hours
The average speed is given by the following equation;
[tex]Average \ speed = \dfrac{Total \ Distance \ traveled}{Total \ time \ taken \ to \ travel \ the \ distance}[/tex]
Therefore, we have;
[tex]Average \ speed = \dfrac{885 \ miles}{12.5 \ hours} = 70.8 \ miles \ per \ hour[/tex]
Therefore, the car's average speed = 70.8 mph.
Answer:
The car's average speed is 70.8 mph
Explanation:
What is the net force of the diagram?
help pls i need this right now
Answer:
C = - 1.625 i + 6.06 j
Explanation:
Positive angles are measured counterclockwise.
Positive angles are measured counterclockwise. To determine the component on the x axis we use the cosine of the angle while to determine the component on the y axis we use the sine of the angle.
[tex]C_{x}=6.28*cos(105)=-1.625\\C_{y}=6.28*sin(105)=6.06\\[/tex]
C = - 1.625 i + 6.06 j
A sign is attached to the side of a building as seen below. The sign is attached to a steel rod. A wire connects to the end of the rod for support. The mass of the sign is 50 kg. Determine the supporting force exerted by the cable
Answer:
500N
Explanation:
50kgx10N/kg
= 500N
the fall of a body on the earth's surface cannot be a complete free fall why ?
Explanation:
because the boy has larger surface area due to which he offers the larger air resistance which decreases the acceleration so, he will fall towards the earth's surface approximately with constant velocity.