A planet similar to the Earth has a radius 7.4 × 106 m and has an acceleration of gravity of 10 m/s 2 on the planet’s surface. The planet rotates about its axis with a period of 25 h. Imagine that the rotational speed can be increased. If an object at the equator is to have zero apparent weight, what is the new period? Answer in units of h.
Part 2:
By what factor would the speed of the object be increased when the planet is rotating at the higher speed?
Answer:
1.5 hr
16.7
Explanation:
Zero apparent weight means there's no normal force.
Sum the forces in the centripetal direction.
∑F = ma
mg = mv²/r
v = √(gr)
v = √(7.4×10⁶ m × 10 m/s²)
v = 8602 m/s
The circumference of the equator is:
C = 2πr
C = 2π (7.4×10⁶ m)
C = 4.65×10⁷ m
So the period is:
T = C / v
T = (4.65×10⁷ m) / (8602 m/s)
T = 5405 s
T = 1.5 hr
The initial speed is:
v = C / T
v = (4.65×10⁷ m) / (25 h × 3600 s/h)
v = 517 m/s
The speed increases by a factor of:
8602 m/s / 517 m/s
16.7
The new period of the planet at the given radius is 1.5 h.
The speed of the planet increased by a factor of 16.7.
The given parameters;
radius of the Earth, R = 7.4 x 10⁶ macceleration due gravity, g = 10 m/s²period, T = 25 hThe speed of the planet at the given radius is calculated as follows;
[tex]mg = \frac{mv^2}{r} \\\\gr = v^2\\\\v= \sqrt{rg} \\\\v = \sqrt{7.4 \times 10^6 \times 10} \\\\v = 8602.3 \ m/s[/tex]
The new period of the planet is calculated as follows;
[tex]T = \frac{2\pi R}{v} \\\\T = \frac{2 \pi \times 7.4 \times 10^6}{8602.3} \\\\T =5,405.72 s \\\\T = \frac{5405.72}{3600} = 1.5 \ hr[/tex]
The initial speed of the planet is calculated as follows;
[tex]v_i = \frac{2\pi R}{T} \\\\v_i = \frac{2\pi \times 7.4\times 10^6}{25 \times 3600} \\\\v_i =516.68 \ m/s[/tex]
The increase in the speed of the planet is calculated as;
[tex]= \frac{v}{v_i} \\\\= \frac{8602.3}{516.68} \\\\= 16.7[/tex]
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please please please please please please
9514 1404 393
Answer:
Mona
Explanation:
Speed is the slope of the position vs. time curve. The higher speed will have the greater slope.
Mona's curve has a greater slope, so Mona is fastest.
A father fashions a swing for his kids out of a long rope that he fastens to the limb of a tall tree. As one of the kids swings from this rope that is 7.00 m long his tangential speed at the bottom of the swing is 8.65 m/s. What is his angular speed in rad/s
Answer:
1.236 rad/s
Explanation:
From the question above,
v = ωr................ Equation 1
Where v = tangental speed, ω = angular speed, r = radius = length of the rope.
Make ω the subject of the equation
ω = v/r.............. Equation 2
Given: v = 8.65 m/s, r = 7.00 m
Substitute these values into equation 2
ω = 8.65/7
ω = 1.236 rad/s
Hence the angular speed is 1.236 rad/s
List the 4 materials that would light up this light bulb when dropped onto the crocodile clips. In 1 -2 sentences describe why it caused the light to turn on using these 4 key terms Conductors, circuit, electrons and flow.
Answer:
Ok I might be wrong but I think its the screwdriver, screw, key and the fork
Explanation:
Why because they all have metal in them if am wrong am sorry buddy i was struggling on the same thing
A pigeon takes off from where it was initially on the ground, near where home base is located at Regions Field (close to 1st Ave. South and 14th street in Birmingham), and the bird flies at what you can consider a constant speed of 18 m/s along a direct straight line to Birmingham International Airport, where he lands on the roof of one of the main terminals there. 5.E. How many seconds does it take the bird to make this trip
Answer:
1.84 secondsExplanation:
Given
initial velocity u = 0m/s
final velocity v = 18m/s
To get the time it takes the bird to make this trip, we will use the equation of motion
v = u+gt
g is the acceleration due to gravity = 9.81m/s²
t is the time
Substitute into the formula:
[tex]18 = 0+(9.81)t\\18 = 9.81t\\9.81t = 18\\t = \frac{18}{9.81}\\ t = 1.84secs[/tex]
Hence it took the bird 1.84seconds to make this trip
Why does Chelsea see sparks as she removes her clothes from the clothes dryer?
conduction
induction
static discharge
static electricity
Answer:
Your answer is static discharge
Explanation:
Your negatively charged hand repels electrons in the metal, so the electrons move to the other side of the knocker. ... This allows electrons to suddenly flow from your hand to the knocker. The sudden flow of electrons is static discharge. The discharge of electrons is the spark you see and the shock you feel. I hope this helps, ( the other answer said static electricity which is wrong.) :)
Answer:
C
Explanation:
A ball is thrown upwards which, which quantity remains constant among speed, kinetic energy, acceleration and velocity
Answer:
So uhh.... Acceleration means to accel or to go higher or like better. So not that one and velocity is speed too so, it has to be kinetic energy or something lke that.
Explanation:
What is the example of stop moving
Answer:
Example:
A car applying brake.
A player catching a bowl.
The image below shows the processes of mitosis and meiosis.
How do the products of mitosis compare to the products of meiosis?
A.
The cells from mitosis are identical to each other and to the parent cell, but the cells from meiosis are not identical to each other or the parent cell.
B.
The cells from mitosis are a requirement of sexual reproduction, but the cells from meiosis are a requirement of asexual reproduction.
C.
Mitosis produces sperm and egg cells, but meiosis produces body cells, like skin and muscle.
D.
Mitosis produces cells with half the chromosomes of the parent cell, but meiosis produces cells with the same chromosomes as the parent cell.
Answer:
It’s D
Explanation:
The cells from mitosis are identical to each other and to the parent cell, but the cells from meiosis are not identical to each other or the parent cell. Hence, option (A) is correct.
What are mitosis and meiosis?Chromosome replication and equitable distribution between the two daughter cells occur during the cell division process known as mitosis. Each daughter cell has the same number of chromosomes as the parent cell, making them diploid. Thus, mitosis is sometimes referred to as equational division.
Meiosis is a type of cell division that describes how germ cells divide, resulting in the fission of two nuclei. The two nuclear fissions, known as meiosis 1 and meiosis 2, result in the formation of four sex cells known as gametes. The number of chromosomes in each sex cell is divided in half from that of the parent cell. This type of cell division happens during reproduction when one cell divides into four haploid daughter cells. The nucleus divides into four daughter cells, or nuclei.
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What are some things that can impact your mental health?
An object is thrown vertically upward at 35 m/s. Taking g=10 m/s2, the velocity of the object 5 s later is?
Given :
Initial Velocity (u) = 35 m/s.Time taken (t) = 5 secondsgravitation (g) = 10 m/s²Final Velocity (u) = ?Answer:
↪ v = u + gt
↪ v = 35 - 10 × 5
↪ v = 35 - 50
↪ v = -15 m/s
Therefore,the Velocity of the object 5 seconds later is -15 m/s.
Q.3 There is two conductors A and B of same
material having lengths L and 2L and radii r and
r/2 respectively. What is the ratio of their
resistance?
Answer:
resistance = (resistivity.(l/A))
so for the 2 materials we get
r1 = resistivity.(l/r)
r2=resistivity.(2l/(r/2))
so ratio r1/r2=1/4
Explanation:
The resistance is proportional to the length and inversely proportional to the area (which is proportional to the square of the radius). Thus if we are just comparing the two (so the constants will cancel out).
r1 = l/r^2 (r squared).
r2 = (2l)/(1/2r)^2
r2 = 2l/(1/4)r^2
dividing by 1/4 is the same as multiplying to 4, so you are multiplying by 2 and then by 4, thus by 8.
Thus R2 is 8 times more than R1.
Part 2: Vertical Distance
1
do
2.942
d, = vertical distance
g = acceleration due to gravity (10m/s2)
t = time
How high was a brick dropped from if it falls in 2.5 seconds?
2.5 m
Ob
12.5 m
25 m
с
Od
31.25 m
Answer:
31.25m
Explanation:
Given parameters:
Acceleration due to gravity = 10m/s²
Time of drop = 2.5s
Unknown
Height of drop = ?
Solution:
To solve this problem, we must note that the brick was originally at rest. The appropriate motion equation to solve this is shown below;
H = ut + [tex]\frac{1}{2}[/tex]gt²
H is the height
u is the initial velocity
g is the acceleration due to gravity
t is the time taken
Input the parameters and solve;
H = 0 + [tex]\frac{1}{2}[/tex] x 10 x 2.5²
H = 31.25m
A binary star system that is detected from the drop in luminosity as one star passes in front of the other is called ___________. Group of answer choices
Answer:
eclipsing binary star system
Explanation:
The eclipsing timing method is one of the indirect methods Astronomers use to detect extrasolar planets. Eclipsing binary star system is detected from the drop in luminosity as one star passes in front of the other. The orbit plane of the two stars lies so nearly in the line, when viewed from Earth.
Thus, A binary star system that is detected from the drop in luminosity as one star passes in front of the other is called eclipsing binary star system.
Question 4
10 pts
Que
A ping pong ball is thrown straight up into the air and has an initial velocity of 20.5 m/s.
Determine the peak height to which the ping pong ball rises.
Time Runnir
Attempt due:
30 Minutes
O 21 m
O 1 m
O 43 m
O Om
< Previous
Next
Not saved
Submit Ouiz
Answer:
I have no clue what this means or what the answer is i am just trying to get my points up so i can ask questions
Explanation:
i am going to put something here so it looks like an explanation so yeah this has no meaning whatsoever i am very sorry that i am not able to give you the answer try looking the answer up im very very very very sorry :(
which one is the biggest unit of plane angle
radian degree or revolution
Answer:
i think radian degree thank you
Explanation:
cuz right the degree angle i responsible more
Answer:
Its radian degree
Explanation:
Because the length of an arc of a unit circle is equal to measurement in radians of angle.
So it is the biggest unit of plane angle
sketch the graphs of intensity against wavelength for a black body radiations at temperatures 100k and 200k on the same axis
Black body radiation is a term used to describe radiation emitted by a hypothetical entity that completely absorbs all incident radiation. Black body radiation at temperatures of 100K and 200K on the same axis will exhibit a peak intensity at different wavelengths, with the 200K curve shifted to the left compared to the 100K curve.
What is Black body radiation?The electromagnetic radiation that a perfect black body (an object that absorbs all radiation falling on it and emits radiation at all frequencies) emits is known as black body radiation. It is a physics theoretical idea that explains how temperature and electromagnetic radiation are related.
Both the wavelength of the radiation and the temperature of the object affect how intense the radiation is. Planck's radiation law explains the relationship between intensity and wavelength.
The maximum intensity of radiation occurs in the infrared region at low temperatures at long wavelengths, such as 100K. When the temperature reaches 200K, the peak intensity shifts to shorter wavelengths in the visible range.
Therefore, Black body radiation at temperatures of 100K and 200K on the same axis will exhibit a peak intensity at different wavelengths, with the 200K curve shifted to the left compared to the 100K curve.
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North America and South America are on the same Tectonic Plate.
True
False
Answer:True
Explanation:
Consider the head-on collision between a nitrogen molecule, mass 28u and a water molecule mass 18u. Prior to the collision, the nitrogen molecule is moving with velocity 0.4390 km/s and the water molecule is moving with velocity -0.7690 km/s. Positive velocities indicate a molecule moving to the right and a negative velocities indicate a molecule moving to the left. Immediately after the collision, the velocity of the water molecule is v = 0.7016 km/s. The atomic mass unit (u) is commonly used to indicate the mass of atoms and molecules: 1u=1.66×10-27kg. What is the velocity of the nitrogen molecule immediately after the collision? (in km/s)
The velocity of the nitrogen molecule immediately after the collision (in km/s) is -0.5064 km/s.
What is conservation of linear momentum?When there is no external force acting on the system, the initial momentum before collision is equal to the final momentum after collision.
According to the momentum conservation principle,
m₁u₁ +m₂u₂ =m₁v₁ +m₂v₂
here, u represents the initial velocities, v represents final velocities and m represents the masses.
Given is the mass of nitrogen molecule, m₁ =28u =28 x 1.66×10⁻²⁷kg = 46.48 x 10⁻²⁷kg
the mass of water molecule, m₂ =18u =18 x 1.66×10⁻²⁷kg = 29.88 x 10⁻²⁷kg
initial velocity of nitrogen molecule u₁ = 0.4390 km/s
initial velocity of water molecule u₂ = -0.7690 km/s
final velocity of water molecule v₂ = 0.7016 km/s
Substituting the values into the above expression, we get the final velocity of the nitrogen molecule
46.48 x 10⁻²⁷kg x 0.4390 km/s + 29.88 x 10⁻²⁷kg x (-0.7690 km/s) = 46.48 x 10⁻²⁷kg x v₁ + 29.88 x 10⁻²⁷kg x 0.7016 km/s
v₁ = -0.5064 km/s
Thus, the final velocity of nitrogen molecule is -0.5064 km/s (to left).
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In order to climb up a mountainside, a train needs to start at a speed of 40 mph. The speed limit on the track, however, is 25 mph. How much time does the train need to get up to 40 mph if it can accelerate 4 mph per minute ?
Let's see what to do buddy.....
_________________________________
[tex]Acceleration = 4 \: \: \frac{mile}{ h } p( min ) [/tex]
Thus ;
The speed increases 4 units per minute.
The train has a speed of 25 mph now.
After a minute it has a speed of 29 mph.
After a minute it has a speed of 33 mph.
After a minute it has a speed of 37 mph.
Look ; 4 units per minute means 4 units per 60 seconds, thus the speed increases 1 unit per 15 seconds .
If the speed wants to increasing from 37 to 40 , needs 3 × 15 seconds = 45 sec.
So we have : 1 min + 1 min + 1 min + 45 sec .
3 minutes and 45 seconds or 225 seconds need to the speed increasing from 25 mph to 40 mph.
_________________________________
And we're done.....♥️♥️♥️♥️♥️
You and your cycling partner are capable of producing 955 W of power. What's the fastest you can pedal up a 4.90 ∘ slope if the combined mass of your tandem bicycle and both riders is 139 kg and you face a 14.5-N force from air resistance?
Answer:
v= 7.3 m/s
Explanation:
Assuming that the cyclists are going uphill at constant speed, and neglecting friction between the tires and the road, the force exerted by the bikers must be equal and opposite to the force downhill.This force downhill, has two components, one due to gravity, and the other due to the air resistance.This last one is a given of the problem, 14.5 N.The force due to gravity along the slope of the road, can be showed that is as follows:[tex]F_{g} = m*g*sin\theta= 139 kg*9.8m/s2*sin 4.9 = 116.4 N[/tex]
So, the total force downhill is just the sum of the two:[tex]F_{net} =F_{g} + F_{air} = -130.9 N[/tex]
(Taking as positive the direction uphill)Now, we know that the maximum power to be developed by the bikers, is P=955 W = 955 J/sAs the power is energy per unit time, and the change in energy is equal to the work done, we can write the following expression:[tex]W = F* \Delta x = \Delta E = P*\Delta t[/tex]
As v = Δx/Δt, rearranging in the expression above, we get:P = F*vThe force must be equal in magnitude and opposite to the one acting downhill, that we have just got, so as P is a given, we need just to solve for v, as follows:[tex]v_{max} = \frac{P}{F_{up} } =\frac{955 W}{130.9N} = 7.3 m/s[/tex]
So the fastest the bikers can climb the slope is 7.3 m/s.When a carpet is beaten with a stick dust particles off
...why
Answer:
An object's inertia tends to resist any change in its state of rest or motion. If a carpet is beaten with a stick then the carpet begins to move. But, the particles of dust are trying to resist their state of rest.
Which best describes a neutralization reaction?
a reaction between an acid and a base
a reaction between two acids
a reaction between a base and a salt
a reaction between two salts
Answer:
a reaction between an acid and a base
Explanation:
Answer:
The answer is A. A reaction between an acid and a base
Explanation:
A certain amusement park ride consists of a large rotating cylinder of radius R=3.05 m.R=3.05 m. As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be great enough to hold the riders in place as the floor drops out from under them. If the cylinder makes f=0.450 rotations/s,f=0.450 rotations/s, what is the magnitude of the normal force FNFN between a rider and the wall, expressed in terms of the rider's weight W?W? FN=FN= WW What is the minimum coefficient of static friction µsμs required between the rider and the wall in order for the rider to be held in place without sliding down?
Answer:
a. N = 2.49W b. 0.40
Explanation:
a. What is the magnitude of the normal force FNFN between a rider and the wall, expressed in terms of the rider's weight W?
Since the normal force equals the centripetal force on the rider, N = mrω² where r = radius of cylinder = 3.05 m and ω = angular speed of cylinder = 0.450 rotations/s = 0.450 × 2π rad/s = 2.83 rad/s
Now N = mrω² = m(3.05 m) × (2.83 rad/s)² = 24.43m
The rider's weight W = mg = 9.8m
The ratio of the normal force to the rider's weight is
N/W = 24.43m/9.8m = 2.49
So the normal force expressed in term's of the rider's weight is
N = 2.49W
b. What is the minimum coefficient of static friction µsμs required between the rider and the wall in order for the rider to be held in place without sliding down?
The frictional force, F on the rider by the wall of the cylinder equals the weight, W of the rider. F = W.
Since the frictional force F = μN, where μ = coefficient of static friction between rider and wall of cylinder and N = normal force between rider and wall of cylinder.
So, the normal force equals
N = F/μ = W/μ = mg/μ = mrω²
μ = mg/mrω²
= W/N
= 9.8m/24.43m
= 0.40
I WILL MARK YOU AS BRAINLIEST IF RIGHT
A car traveling north with a speed of 35 m/s slows down to a velocity of 10 m/s within 5 seconds. What is the car's deceleration?
Answer:
-5
Explanation:
10-35/5
-25/5
-5m/s^2it ask the deceleration this mean
vf<vi so it's negative it is the simplest way
Phoebe wants to measure the volume of a small, irregularly
shaped rock. Which of the following instruments would be best
for Phoebe to use?
Answer:
A graduated cylinder
Explanation:
1. A baseball, 0.314 kg, is accelerated at a rate of 153 m/s2 when hit by a professional baseball player. What force does the player's bat exert on the ball? (use the formula F=ma)
Answer:
The answer is 48.0 NExplanation:
To find the force acting on an object given it's mass and acceleration we use the formula
Force = mass × accelerationFrom the question
mass = 0.314 kg
acceleration = 153 m/s²
We have
force = 0.314 × 153 = 48.042
We have the final answer as
48.0 NHope this helps you
Explain why 15yr old need more calcium than adults
Answer:
When adolescents get enough calcium during the teen years, they can start out their adult lives with the strong bones and significantly reduce their risk for fractures as an adult. Inadequate calcium intake during adolescence and young adulthood puts individuals at risk for developing osteoporosis later in life.
Answer:
I hoped this helpful for youThank you ☺️☺️
Which of the following is NOT an example of radiant energy?
оа
Ob
Sun
Glowstick
Bicycle
Lamp
Answer:
Bicycle
Explanation:
The Bicycle uses the reflection from the sun or moon to cast light off of its red rear. does not produce own radiant energy
10. when creating a cardiovascular fitness routine which program would be appropriate?
A Sprint a short distance
B Lift a heavy weights
C Run for a long time
D Use the entire range of motion
13. what would be an appropriate amount of time to hold a static stretch?
A 5 seconds
B 20 seconds
C 1 minute
D 5 minute
14. what activity may help prevent injury if it is performed prior to playing a sport?
A weight thing
B dynamic stretching
C high intensity interval training
D sprints
15. when your workout routines gets too easy what should you do?
A Increase the frequency
B Increase the intensity
C Increase the time
D All
PLEASE HELP
Answer:
10. B
13. It's actually 30 seconds but 20 comes closest so B
14. B, any type of stretching is good before you perform any type of physical activity because it loosens up the muscles
15. D, all of the above
Explanation:
I have done many sports in my life and am still very active, I grew to know most of these things through the years.