Answer:
option ( a ) is correct .
Explanation:
Escape velocity on the earth = √ ( 2 GM / R )
where G is universal gravitational constant , M is mass of the earth and R is radius .
V₀ = √ ( 2 GM / R )
escape velocity on the planet where mass is equal is earth's mass and radius is 4 times that of the earth
Radius of the planet = 4 R
escape velocity of planet = √ ( 2 GM / 4R )
= .5 x √ ( 2 GM / R )
= .5 V₀
option ( a ) is correct .
If an object is moving and the sum of all the vector forces on it is zero, then the object will:
accelerate at a constant rate
come to rest
move at a constant speed
none of the previous
If an object is moving and the sum of all the vector forces on it is zero, then the object will move at a constant speed. The correct option is c.
What is vector force?A force's magnitude and direction are both represented by a force vector. This contrasts with expressing the force's magnitude alone, which is known as a scalar quantity.
Typically, a vector is represented by an arrow that points in the direction of the force and has a length proportionate to the strength of the force.
Therefore, the correct option is c, move at a constant speed.
To learn more about vector force, refer to the link:
https://brainly.com/question/13492374
#SPJ1
how much energy is needed to evaporate 5 grams of water?
The energy is needed to evaporate 5 grams of water is 1670 kJ.
What is energy?The energy is the ability to do work.
Energy required to change the phase of an object is mass times the latent heat of vaporization.
Q = mL
where, latent heat of vaporization L =334J/g
Given is the mass of water m =5g, then the energy needed will be
Q =5 x 334
Q =1670 kJ
Thus, the energy needed to evaporate water is 1670kJ.
Learn more about energy.
https://brainly.com/question/1932868
#SPJ2
Calculate the potential energy of a rock of mass 500 g, held at a height of 2 m above ground.
The potential energy of a rock of mass 500 g, held at a height of 2 m above ground is 9.8J.
The formula for the gravitational potential energy of an object is:
PE = mgh
where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2 on the Earth's surface), and h is the height of the object above the reference point.
So, in this case, we can plug in the given values to find the potential energy of the rock:
PE = (500 g) x (9.8 m/s^2) x (2 m)
The weight of the rock is m*g = 500 g * 9.8 m/s^2 = 4.9 N
Therefore,
PE = 4.9 N x 2 m = 9.8 J
Therefore, the potential energy of a rock of mass 500 g, held at a height of 2 m above ground is 9.8J.
Learn more about Energy:
https://brainly.com/question/29979940
According the Law of Inertia _____.
the Earth's gravitational pull is less than that of the sun's
the Earth will keep moving unless acted up on by a force
the Earth will stop moving on its own
the Earth's gravitational pull is greater than that of the moon's
Answer:
The Earth will keep moving unless acted up on by a force
Explanation:
Not A because that's not the law of inertia
It's B because that is pretty much the definition of the law of inertia
Not C because Earth will not stop moving on it's own
Again, not the definition of the law of inertia
Answer:
B
Explanation:
A crane exerts 56000 Newtons of force over a distance of 4.5 meters. how much power was generated if it took 4.2 seconds to accomplish this?
Answer:
E = F * S definition of energy
P = E / t = F * S / t definition of power
P = 5.6E4 N * 4.5 m / 4.2 s = 60,000 watts
A racing car accelerates at the end of the race from a speed of 100
km/h to a speed of 120 km/h in 15 seconds. Find the acceleration
of it in that period of time.
4/3 m/s ( approximately 1.3333... m/s)
A satellite’s speed is
5,000 m/s. After 1 min, it is 10,000 m/s.
What is the satellite’s acceleration?
Acceleration = (change in speed) / (time for the change)
Change in speed = (10,000 m/s) - (5,000 m/s)
Change in speed = 5,000 m/s
Time for the change = 1 minute
Time for the change = 60 sec
Acceleration = (5,000 m/s) / (60 s)
Acceleration = 83-1/3 m/s²
Most space lawyers agree that the barrier between airspace and outer space lies somewhere between where
the highest planes fly and the lowest satellites orbit.
True
False
True. The majority of space lawyers concur that the line dividing airspace from outer space is located halfway between the altitude at which airplanes fly and the orbital altitude of satellites.
What purposes do satellites serve?They serve a variety of functions, including that of the Satellite Navigation System, amateur radio, television transmission, and weather forecasting. In order to conduct study and acquire data, they also employ telescopes to view outward somewhere at solar system.
Do satellites provide internet access?Over 99% of Americans have access to satellite internet, along with most other (but certainly not all) rural residents. You do not need to have a home internet connection because the broadband signal is transmitted from satellites.
To know more about satellites visit:
https://brainly.com/question/2522613
#SPJ1
Excepting a dare to do something physically dangerous is an example of this kind of influence is it (A Direct negative (B Indirect negative (C Direct post ( indirect post
Answer:
a
Explanation:
given that you know the risks it is directly negative
A flashlight can be made that is powered by the induced current from a magnet moving through a coil of wire. The coil and magnet are inside a plastic tube that can be shaken causing the magnet to move back and forth through the coil. Assume the magnet has a maximum field strength of 0.05 T. Assume that the radius of the coil is 1.5 cm and the magnet is shaken with a frequency of about two shakes per second. Specify the the number of turns necessary to light a standard 1-watt, 3-V flashlight bulb.
Answer:
n = 4.25 x 10⁴ .
Explanation:
EMF required to be produced = 3 V .
Let n be the required no of turns .
rate of change of flux = n x B x A x f where n is no of turns of coil , B is magnetic field , A is area of coil and f is frequency of change .
B = .05 T , A = π x (.015)² = 7.065 x 10⁻⁴ m² , f = 2
emf induced = rate of change of flux
= n x .05 T x 7.065 x 10⁻⁴ m² x 2
= .7065 x 10⁴ x n
Given
.7065 x 10⁻⁴ x n = 3
n = 4.25 x 10⁴ .
A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the force of gravity and the parallel component of gravity along with the perpendicular component.
The force of gravity is 103.73N and the parallel component of gravity is 40.45N along with the perpendicular component is 95.43N.
How strong is the force of gravity?The gravitational force, which pulls mass-containing objects in the same direction, is the force of gravity. The force of gravity from Earth is something we consider frequently. Your body is held firmly in place by this force. However, every mass-bearing object pulls everything else with mass toward it through gravity.
The force of gravity F = ma
F = 4.51×23
F = 103.73N
F parallel component = F sinθ
F parallel = 103.73 sin 23°
F parallel = 103.73 × 0.390
F parallel = 40.45N
F perpendicular component = F cosθ
F perpendicular = 103.73 × cos 23°
F perpendicular = 103.73 × 0.920
F perpendicular = 95.43N.
To know more about force visit:
https://brainly.com/question/19671650
#SPJ1
Question 6 of 10
What is the length x of the side of the triangle below? (Hint: Use the cosine
function.)
X
330
14
A. 9.1
B. 7.6
C. 11.7
D. 10.2
C (11.7)
Explanation:
cos 33 ÷ 14 = 11.7
Differences between diode and transistor
Answer: the diode transforms the alternating current into direct current while the transistor passes the input signals from the low resistance circuit to high resistance circuit.
Explanation:
Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Springs are elastic devices used to absorb shock, store energy, and provide support in a variety of applications.
1- The distance the spring is stretched from its equilibrium position is x = 180 - 100 = 80 mm. This can be converted to meters by dividing by 1000, so x = 0.08 m.
2- The restoring force of the spring can be calculated using Hooke's law, which states that F = kx, where F is the restoring force, k is the spring constant, and x is the distance the spring is stretched from its equilibrium position. In this case, F = 50 N/m × 0.08 m = 4 N.
What is Hooke's law?
Hooke's law is a basic law of physics that states that the force applied to a spring is proportional to the amount of displacement (or stretching) of the spring. In other words, the more you stretch a spring, the more force is needed to keep it stretched. This law is expressed mathematically as F = -kx, where F is the force, k is a constant known as the spring constant, and x is the displacement.
To know more about Hooke's law,
https://brainly.com/question/17068281
#SPJ1
1) Calculate the time required for a 6,000.-newton
net force to stop a 1,200.-kilogram
traveling at 10. meters per second. Show all
work, including the equation and substitution
with units.
PLEASE HELP!!
I need equation, substitution with units and final answer +explanation. TYSM
According to the given statement The time required is 2 seconds.
What is Force ?An unseen factor is an agent that has the power to alter the resting or moving condition of a body. It has a direction or a magnitude. The stress applied is the location at which force is applied, and the direction where the force applied is known also as direction of the force.
The vector composition of mass (m), acceleration, and the amount of force is used to express force (a). Mathematically, the equation or equation for force may be written as follows:
Force = mass x acceleration.
We know the force and the mass, so we can write:
6,000 N
= (1,200 kg) x (acceleration).
i.e. Acceleration = 6000N/1200kg = 5 m/s² .
That's the acceleration. The speed changes by 5 m/s each second
that the force acts on it. If the force pushes from behind, then it goes
5 m/s per second faster. It moves 5 m/s slower each second if the force is pushing from the front.
We wish to slow it down from its current speed of 10 m/s to 0 m/s. Therefore, the force must push from the front, and the task will be finished in (10/5) = 2 seconds.
So, time required is 2 seconds.
To know more about Force visit:
https://brainly.com/question/13191643
#SPJ1
A horse pulls a wagon with a force of 1450 Newtons. How many meters sis the wagon travel if the horse exerted 798 watts of power over 3.5 minutes? (convert min. to seconds).
The distance traveled by the horse pulling the wagon with a force of 1450N is 115.57 metres.
How to calculate power?Power is defined as the amount of energy used or transferred in a certain amount of time. This means that power can be calculated by dividing the work done by the time taken.
P = W/t
When a force is applied to move an object, work is done on the object. Work done = force × distance
Power = (Force × distance)/time
According to this question, a horse pulls a wagon with a force of 1450 Newtons.
798 = 1450 × d/210
167,580 = 1450d
Distance = 167,580 ÷ 1450
Distance = 115.57 metres
Therefore, 115.57 metres is the distance traveled by the wagon.
Learn more about power at: https://brainly.com/question/3854047
#SPJ1
Corn plants and milkweed plants grow in the same area. Over several years, the milkweed plants have taken over the field and the corn plants no longer have space to grow.
This best demonstrates which type of an interaction between the plants?
cooperation
parasitism
commensalism
competition
The interaction between the Corn plants and milkweed plants demonstrates as competition.
What is competition in Plants community?Competition is typically considered to refer to the detrimental consequences that neighbors' presence has on a plant's fitness or growth, typically through lowering the resources available.
In addition to resources, disturbance, herbivory, and mutualisms, competition can be a significant factor in controlling plant populations. The resource involved is depending on the species and the region, as all plants require a few fundamental ingredients.
As corn plants and milkweed plants grow in the same area, the interaction between the Corn plants and milkweed plants demonstrates competition.
Learn more about competition here:
https://brainly.com/question/9563763
#SPJ1
which of the following changes will increase the period of an oscillating spring mass system?
a. an increase in the mass on the spring.
b. an increase in the initial displacement of the spring.
c. an increase in the spring constant.
d. more than one of the above.
e. none of the above.
explain your answer. NO LINKS.
Answer:
a. an increase in the mass on the spring.
Explanation:
An increase in the mass on the spring will increase the period of an oscillating spring mass system.
Mathematically, the period of an oscillating spring mass system is given by the formula;
T = 2π √(m/k)
Where;
T is the period.
m is the mass of the spring.
k is the spring constant.
Hence, the mass of a spring is directly proportional to the period of oscillation of the spring.
This ultimately implies that, as the mass of the spring increases, the period of oscillation will increase. Similarly, the period of oscillation will decrease with an increase in the spring constant.
Steve is planning his annual Spring Break road trip. He pulls out his map and draws out his route to visit the five locations that he has planned for this year. They go in a counterclockwise loop and he ends up at home, where he started, just in time to start classes again. Whenever he is on the road he travels a constant 60 miles/hour. When Steve adds up the total distance traveled, as measured by his odometer, and divides it by the time that his trip took, he has measured what quantity?
a. His average velocity.
b. His average speed.
c. His instantaneous velocity.
d. His instantaneous speed.
Answer:
His average speed.
Explanation:
Average speed = Total distance travelled / total time .
In the given case odometer measures total distance travelled . Dividing it by time will give average speed .
Average velocity can not be the answer as it is measured by dividing displacement by time . Displacement here is zero because initial and final point are same . Instantaneous velocity is given by the speedometer . It keeps on changing all the time . It is actually speed at a particular point of time . It can not be average velocity or speed .
A blue whale with a mass of 1.90 X 10^5 kg was caught in 1947. What is the magnitude of the minimum force needed to move the whale along a horizontal ramp if the coefficient of static friction between the ramp's surface and the whale is 0.460?
The minimum force needed to move the whale along a horizontal ramp, given that the whale has a mass of 1.90×10⁵ Kg is 856520 N
How do I determine the force needed to move the whale?We'll begin by listing out the given parameters from the question. This is shown below:
Mass of whale (m) = 1.90×10⁵ KgCoefficient of static friction (μ) = 0.460Force needed (F) = ?To obtain the force needed to move the whale, we shall first obtain the normal reaction. This is shown below:
Mass of whale (m) = 1.90×10⁵ KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = ?N = mg
N = 1.90×10⁵ × 9.8
N = 1862000 N
Finally, we shall determine the force needed. Details below:
Coefficient of static friction (μ) = 0.460Normal reaction (N) = 1862000 NForce needed (F) = ?F = μN
F = μN
F = 0.460 × 1862000
F = 856520 N
Thus, we can conclude that the force needed is 856520 N
Learn more about force:
https://brainly.com/question/12163222
#SPJ1
A car travels from Kathmandu to Hetauda. The distance covered by it in 4hrs is
200km. Find the average speed of the car.
Answer:
50km/hrs
Explanation:
speed= distance/time.
A 3.00kg mass is attached to an ideal spring with k=200N\m if the velocity of body at 0.25m Is 2.3m\s find the amplitude and maximum velocity
To solve this we must be knowing each and every concept related to velocity. Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.
What is velocity?V is the velocity measurement of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.
For example, if an item travels west with 5 meters a second (m/s), its velocity to the west will be 5 m/s. The most frequent and simplest approach to determine velocity is using the formula shown below.
v = √(k / m) ×A
v = velocity of the mass
k= spring constant
m =mass of the object
A= amplitude of the oscillation.
substituting all the given values in the above equation, we get
2.3 m/s = √(200 N/m / 3.00 kg)×A
A = 2.3 m/s / √(200 N/m / 3.00 kg)
= 0.23 m
v =√(200 N/m / 3.00 kg) ×0.23 m
= 2.75 m/s
Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.
To learn more about velocity, here:
https://brainly.com/question/13372043
#SPJ1
you are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP
The things would which would be needed to survive the mesosphere include the following below:
Food and waterOxygen supply.What is a Mesosphere?This is refereed to as the third layer of the atmosphere which is present above the stratosphere and directly below the thermosphere.
It has a low density of gas and water vapor present in the area which is why it is no place for human life as there is a shortage of oxygen and other gases needed for some biochemical reactions in the ecosystem. This is therefore the reason why things such as food, water and oxygen supply is neeeded tio survive in the mesosphere.
Read more about Mesosphere here https://brainly.com/question/20542996
#SPJ1
If you throw an apple towards the sky why its going up in spite of gravitational pull?
PLS HELP
Answer:
Force
Explanation:
The Force You Put Behind Said Apple Is Greater Than That Of Gravitational Pull
Example : The More Power You Put behind a basketball the higher the basketball will go
Answer:
This could happen because the net force may be acting on only one side.
Explanation:
examine the following graph. a) What is the amplitude of the oscillation? b) What is the period of the oscillation?
Answer:
Explanation:
The amplitude looks like about 0.5
period = 2/3
The same 42 kg cart is pushed forward with a force of 180 Newtons. How far will it go if a total of 2500 Joules of work are done on the cart?
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]m=42kg[/tex]
[tex]F=180N[/tex]
[tex]w=2500J[/tex]
[tex]d=?[/tex]
__________________________________________________________
Rearranging work formula to make distance the subject:
[tex]w=Fd[/tex]
[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]
[tex]d=\dfrac{w}{F}[/tex]
__________________________________________________________
Finding distance:
[tex]d=\dfrac{w}{F}[/tex]
[tex]d=\dfrac{2500}{180}[/tex]
__________________________________________________________
[tex]\fbox{d = 13.89 meters}[/tex]
Suppose that you wish to construct a simple AC generator with an output of 12 V maximum when rotated at 60 Hz. A magnetic field of 0.050 T is available. If the area of the rotating coil is 100 cm2, how many turns are needed?
Answer:
N = 63.6
Explanation:
The emf induced in AC generator is given as follows:
[tex]V = N\omega AB Sin\theta[/tex]
for maximum output, [tex]Sin\theta = 1[/tex]
[tex]V = N(2\pi f) AB[/tex]
where,
V = Maximum Output Voltage = 12 V
N = No. of Turns = ?
f = frequency = 60 Hz
A = Area of Coil = 100 cm² = 0.01 m²
B = Strength of Magnetic Field = 0.05 T
Therefore,
[tex]12\ V = N(2)(\pi)(60\ Hz)(0.01\ m^2)(0.05\ T)\\\\N = \frac{12\ V}{(2)(\pi)(60\ Hz)(0.01\ m^2)(0.05\ T)}[/tex]
N = 63.6
This theory of motivation focuses on finding the right level of stimulation. An organism tries to find behaviors that actually increase arousal because everything else bores them.
*
2 points
Cognitive Theory
Hierarchy of Needs
Drive-Reduction Model
Optimal Arousal Theory
Optimal Arousal theory focuses on finding the right level of stimulation.
What is Optimal Arousal theory?William James (1842–1910), frequently referred to as the father of psychology in the United States, made significant contributions to early studies on motivation.
James proposed a number of instincts that help with survival as the driving forces behind conduct . An instinct is a species-specific pattern of behavior that is not taught, according to biology.
But there was a lot of disagreement over what exactly constitutes instinct among James's contemporaries. James postulated a number of unique human instincts, although many of his contemporaries had different lists.
Therefore, Optimal Arousal theory focuses on finding the right level of stimulation.
To learn more about arousal theory, refer to the link:
brainly.com/question/29741835
#SPJ1
19. A pitcher throws a baseball toward a batter at 30m/s. The batter swings his
bat and hits the baseball. The baseball flies away in the opposite direction at a
speed of 35m/s. Is there a transfer of energy in this situation? (SC.7.P.11.4)
a) Yes, because both the bat and the ball are moving after the collision.
b) No, because the ball and the bat only touched for a short time.
c) Yes, because the force from the bat changes the motion of the ball
A pitcher throws a baseball towards a batter at 30m/s. The batter swings his bat and hits the baseball, then there is a transfer of energy in this situation : c) Yes, because the force from the bat changes the motion of the ball.
How is energy transferred from baseball bat to a baseball?Although baseball may appear hard and solid, it actually behaves much like a rubber ball. In the fraction of a second that ball collides with the swinging bat, ball compresses as the energy of motion goes into deforming the ball and transforms it into an elastic potential energy.
The collision of baseball with bat is elastic and the collision between baseball and glove is nearly inelastic.
To know more about collision, refer
https://brainly.com/question/7221794
#SPJ1
How long will a boy sitting near the window of a train travelling at 36 km h see a train passing by in the opposite direction with a speed of 18 km h^-1.The length of the slow- moving train is 90 m.
Answer:
5/18 is used to convert km/hr into m/s
1 km = 1000 m
1 hr = 3600 sec
1 km/hr to m/s
1*1000/1*3600
1000/3600metre/sec
10/36metre/sec
5/18 metre/sec
Explanation:
srry if this is wrong!