The equation that could be used to find the velocity of the satellite if it is placed in a low Earth orbit is \(v = \sqrt{\frac{Gm_p}{200 \ km} }\).
The given parameters;
mass of the planet, = \(m_p\)A low Earth orbit is an orbit around the Earth with altitude in the range of 250 km and 2000 km.
The gravitational potential or the work done in bringing the satellite to the low Earth orbit is given as;
\(U = \frac{GMm_p}{R} \\\\\)
where;
M is the mass of the EarthR is the altitude of the low Earth orbitlet the value of R = 400 km
Note: any value between 250 km and 2000 km can be used BUT 400 km is the only value within this range that can be found in the given options as you will see at the end of the solution.
\(U = \frac{GMm_p}{400 \ km}\)
The kinetic energy of the satellite at the low Earth orbit is equal to the gravitational potential energy due to the altitude of the low Earth orbit.
\(K.E = U\\\\\frac{1}{2} Mv^2 = \frac{GMm_p}{400 \ km} \\\\v^2 = \frac{2Gm_p}{400 \ km}\\\\v^2 = \frac{Gm_p}{200 \ km}\\\\v = \sqrt{\frac{Gm_p}{200 \ km}}\)
Thus, the equation that could be used to find the velocity of the satellite if it is placed in a low Earth orbit is \(v = \sqrt{\frac{Gm_p}{200 \ km} }\).
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Mason notices that his boat sinks lower into the water in a freshwater lake than in the ocean. What could explain this?
The boat is more dense in salt water.
The boat is less dense in salt water.
Salt water is less dense than freshwater.
Salt water is more dense than freshwater.
Answer:
Salt water is more dense than freshwater.
The boat sinks lower into the water in a freshwater lake than in the ocean because, salt water is more dense than freshwater.
What is meant by density ?Density of a substance is defined as the mass per unit volume of the substance.
Here,
Mason noticed that his boat sinks lower into the water in a freshwater lake than in the ocean.
This is because of the variation in density between the two regions.
The ocean water will be more denser than the freshwater lake because, the ocean contains salt water which has a higher density than that of freshwater.
Unlike salt water, fresh water does not contain any minerals or ions, so that having a lesser density. Therefore the boat will be less sink in the freshwater lake than in the oceans.
But the freshwater can become salt water when it enters into the land containing, minerals and ions.
Hence,
The boat sinks lower into the water in a freshwater lake than in the ocean because, salt water is more dense than freshwater.
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An object moves in a direction parallel to its length with a velocity that approaches the velocity of light. The width of this object, as measured by a stationary observer...
approaches infinity.
approaches zero.
increases slightly.
does not change.
I know that the length, for the observer, is going to get smaller. But when they say "width" does that imply length? Or is the answer does not change because width is not the same as length?
The answer is "does not change."
In this context, "width" is usually interpreted as the dimension perpendicular to the direction of motion, while "length" is parallel to it.
So when an object moves at relativistic speeds, its length contracts along the direction of motion, while its width and height (perpendicular to the direction of motion) are not affected.
"Dimension perpendicular" refers to a dimension that is orthogonal or at right angles to another dimension. In physics, it is common to describe the three dimensions of space as x, y, and z axes, which are all perpendicular to each other.
In general, perpendicular dimensions are independent of each other and do not affect one another. Therefore, the width of the object as measured by a stationary observer does not change.
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someone plss asnwer i need help amswer only if u know it
Answer:
going backwards message me if u have any problems
Answer:
slowing down
Explanation:
the opposite of positive is negative right?
so negative acceleration is deceleration
hope i helped!
What is the weight of a box with a mass of 150 kg on Earth?
N
Use g= 9.81 m/s2 and do not include units in your answer.
Answer:
W = M g = 150 kg * 9.81 m/s^2 = 1470 N
You were only given 3 significant figures in the question.
The weight of the box is 1471.5 N.
What is weight?In science and engineering, an object's weight is defined as the force of gravity acting on the thing. Weight is sometimes described as a vector quantity in common textbooks, denoting the gravitational force acting on the item.
Given parameters:
Mass of the box, m = 150 kg.
Acceleration due to gravity, g = 9.8 m/s².
Hence, weight of the box is, W = mg = 150 kg × 9.81 m/s² =1471.5 N.
SO, weight of the box with a mass of 150 kg on Earth is 1471.5 N.
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2. Summarize how the force of gravity
factors into at least three processes in
the formation of stars. SC.8.E.5.4
A girl and a boy pulled horizontally on ropes attached to a 20 kg box and made it to slide over a concrete surface (uk=0.8). The angle between two ropes is 900. a. Sketch a the free-body diagram where forces exerted by both the girl and the boy are equal. b. Solve for the kinetic friction exerted by the surface on the box. c. Solve for the forces exerted by both the girl and the boy when the box slides at constant velocity. d. Solve for the net force acted on the box, and its acceleration, if the boy and the girl both applied 300 N force to the box. e. Identify at least 5 action-reaction pairs that you may think possible in this problem
Answer:
:DDDDD thanks foooooooor joinin'
Explanation:
What does the xylem do?
A .stores the glucose
B captures the sunlight
C absorbs oxygen into the leaf
D carries water from the roots to the leaves
Answer:
D carries water from the roots to the leaves.
is the answer.
Explanation:
Xylem is the specialised tissue of vascular plants that transports water and nutrients from the plant–soil interface to stems and leaves, and provides mechanical support and storage.
Answer:
D carries water from the roots to the leaves
Explanation:
have a nice day
the class of laser which causes the greatest potential hazard is? quizlet who of the following is fully responsible for the laser in his or her lab? the proper immediate response to a laser accident involving an eye injury is?
The class of laser that causes the greatest potential hazard is Class 4.
The individual who is fully responsible for the laser in his or her lab is the Laser Safety Officer (LSO) or the Principal Investigator (PI) of the lab. They are responsible for implementing and enforcing laser safety protocols, conducting risk assessments, providing training to personnel, and ensuring compliance with applicable regulations.
The proper immediate response to a laser accident involving an eye injury is as follows:
Ensure the safety of the affected person and others in the area by turning off the laser immediately.
If possible, assist the injured person to a safe area away from the laser beam.
Encourage the injured person to keep their eyes closed to minimize further damage.
Seek immediate medical attention for the injured person. Call emergency services or go to the nearest emergency room.
Provide any necessary information to medical professionals regarding the type of laser involved, laser parameters, and any known hazards associated with the laser.
Report the incident to the appropriate authorities within the organization, such as the Laser Safety Officer or supervisor.
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In a head-on collision between two cars traveling at 20 m/s (44.7 mph), both cars are brought to a complete stop in 150 ms.
Part a) Calculate the restraining force required on a 72.4-kg passenger to remain firmly in their seat during such a head-on impact.
________ N
Part b) The weight of an average 175-pound adult is 778 Newtons. Imagine if a person in the backseat of one of these cars chose not wear their seatbelt and instead attempted to use their arms to hold themselves against their seat back. To visualize the strength required to accomplish this, calculate the number of average adults this person would have to be able to hold up against gravity in order to accomplish this feat.
The restraining force in part (a) is equivalent to the combined weight of how many 175-pound adults?
When the energy of the singular vehicles are known, the after-crash not entirely set in stone by essentially isolating force by mass (v=p/m).
Can a car traveling at the same speed collide with another?"The two-car crash has the appearance of just one car hitting a wall at 50 mph, but the energy it transfers is transferred to twice as much mass. "The graphic that went along with that is here.
The car's initial speed, u, is 20 m/s; its final speed, v, is 0 m/s. The time taken is 150 ms, or 0.15 seconds. To calculate the car's deceleration, use the formula v=u + at.
0=20 +a *0.15
a=-20/0.15
a=-133.33m/s{2}
The pulling force experienced by a person weighing 72.4 kilograms, F = ma F=ma F=72.4*133.33 F=9652.1N, necessitates an equal restraining force to keep the person firmly seated. F=9652.1N
Number of People = Restraining Force/Average Adult Weight of 175 Pounds= 12.406 out of 9652.1= 12 People
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Which type of force does a window washer want acting on him when trying to keep the same position?
A. Large
B. Small
C. Balanced
D. Unbalanced
Balanced force does a window washer want acting on him when trying to keep the same position.
What is force?
Force is an external influence that is capable of changing the motion of a body, either by a push or pull, or by causing a change in the shape or direction of the body. Force is a vector quantity, meaning it has both magnitude and direction. It can be a result of either physical contact, like pushing or pulling, or a non-contact force, such as gravity, magnetism, or electricity. Force is a fundamental concept in physics and its effects are studied in numerous fields, from mechanics to thermodynamics. Force can be used to move objects, cause objects to change shape, or cause objects to accelerate. It is a powerful tool for understanding physical phenomena.
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What is the best description of temperature?
Answer
An object's temperature is the best approximation of the kinetic energy of the particles. When we measure an object's temperature, we measure the average kinetic energy of the particles in the object. The higher the temperature, the faster the molecules of the substance move, on the average
The measure of the warmth or coldness of a substance or an object with reference to some standard value is termed as temperature.
TemperatureIt is a measure of the coldness or hotness expressed in terms of any of the many arbitrary scales and suggesting the direction in which the heat energy will flow spontaneously, that is, from a hotter body to a colder body.
Similar to pressure or density, temperature is an intensive property, which is independent of the quantity of matter being considered.
Thus, temperature refers to a physical quantity, which expresses the extent of coldness or hotness of a substance.
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There are two pendulums with periods 3 s and 2 s, which one is longer and which one is shorter .
Answer:
3s is longer
2s is shorter
Explanation:
A pendulum is made up of a ball which is referred to as a mass attached to a string which is usually massless.
A period is one swing of the pendulum over and back.
Two pendulums with the same length but different masses would have the same period
When two pendulums with different lengths, the pendulum with the longer length would have a longer frequency and thus the longer period while the pendulum with the shorter length wold have the shorter period
A particle is released as part of an experiment. Its speed t seconds after release is given by v(t)=−0.5t 2
+2t, where v(t) is in meters per second. a) How far does the particle travel during the first 2 sec? b) How far does it travel during the second 2 sec? a) The particle travels meters in the first 2sec. (Round to two decimal places as needed.) b) The particle travels meters in the second 2 sec. (Round to two decimal places as needed.
a) The particle travelss (2) = -0.17(2)^3 + (2)^2meters during the first 2 seconds. b) The particle travels t = 4 meters during the second 2 seconds.
a) To determine how far the particle travels during the first 2 seconds, we need to calculate the displacement by integrating the velocity function over the interval [0, 2]. Given that the velocity function is v(t) = -0.5t^2 + 2t, we can integrate it with respect to time as follows:
∫(v(t)) dt = ∫(-0.5t^2 + 2t) dt
Integrating the above expression gives us the displacement function:
s(t) = -0.17t^3 + t^2
To find the displacement during the first 2 seconds, we evaluate the displacement function at t = 2:
s(2) = -0.17(2)^3 + (2)^2
Calculating the above expression gives us the distance traveled during the first 2 seconds.
b) Similarly, to determine the distance traveled during the second 2 seconds, we need to calculate the displacement by integrating the velocity function over the interval [2, 4]. Using the same displacement function, we evaluate it at t = 4 to find the distance traveled during the second 2 seconds.
In summary, by integrating the velocity function and evaluating the displacement function at the appropriate time intervals, we can determine the distance traveled by the particle during the first 2 seconds and the second 2 seconds.
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What is the momentum of a 200 kg truck travelling at 20 m/s?
Answer:
p = 4000 kg-m/s
Explanation:
Given that,
The mass of a truck, m = 200 kg
Speed of the truck, v = 20 m/s
We need to find the momentum of the truck. The formula for momentum is given by :
p = mv
so,
\(p=200\times 20\\\\p=4000\ kg-m/s\)
So, the momentum of the truck is equal to 4000 kg-m/s.
a bucket of water of mass 10 kg is rotated in vertical direction on the rope of the length 1 m with constant speed of 2 m/s. work done by force of tension over half of the circle is
The work done by the force of tension over half of the circle is 98 Joules.
To find the work done by the force of tension over half of the circle, we need to calculate the change in gravitational potential energy of the bucket of water.
The gravitational potential energy (U) of an object is given by the formula U = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the change in height.
In this case, as the bucket of water is rotated vertically in a circle, the change in height (h) is equal to the diameter of the circle, which is 2 times the radius (r). Since the length of the rope is given as 1 m, the radius of the circle is 0.5 m.
The work done by the force of tension is equal to the change in gravitational potential energy, which can be calculated as:
Work = ΔU = mgΔh = mg(2r) = (10 kg)(9.8 m/s^2)(2)(0.5 m) = 98 J
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4. What current is drawn by a 90 W light bulb on a 110 V household circuit?
Answer:
I = 0.82A
Explanation:
I = W/V
I = 90W/110V
I = 0.82A
a. Looking at the diagram above, what is the net force in the horizontal direction?
b. What is the net force in the vertical direction?
Answer:
A) Net force in the horizontal direction is 19.641 N
B) Net force in the vertical direction is 20 N
Explanation:
The normal force (20 N) and the weight force (20 N) cancel out.
Next lets find the horizontal and vertical components on the right side of the diagram.
We are given the angle and the hypotenuse.
First lets find the opposite side (vertical component).
\(sin(x)\frac{O}{H}\)
\(O=Hsin(x)\)
\(O=40sin(30)\)
\(O=20\)
Now lets find the adjacent side (horizontal component).
\(cos(x)=\frac{A}{H}\)
\(A=Hcos(x)\)
\(A=40cos(30)\)
\(A=34.641\)
Now we can ignore the 40 N force.
We are left with 1 force in the vertical direction.
So the net force in the vertical direction is 20 N
We are left with 2 forces in the horizontal direction.
We have 1 force of 15 Newtons moving in the left direction.
We also another force of 34.641 Newtons moving to the right.
So the net force in the horizontal direction is 19.641 N.
the planet Mars may be considered to be an isolated sphere of diameter of 6.79×10^6m with it's mass of 6.42×10^23 kg concentrated at its center. A rock of mass 1.40kg rests on the surface of Mars.
(assume that the dimensions of the rock are negligible compared to the radius of Mars)
(I) determine the weight of the rock on Mars
(ii) show that the gravitational potential energy of the rock is -1.77×10^7J
The weight of the rock on Mars is 5.18 N.
The gravitational potential energy of the rock is indeed -1.77×10⁷J
How to find weight and potential energy?(I) To determine the weight of the rock on Mars, use the formula for weight, which is given by:
Weight = Mass x Acceleration due to gravity
The acceleration due to gravity on Mars can be calculated using the formula:
Acceleration due to gravity = (Gravitational constant x Mass of Mars) / (Radius of Mars)²
Plugging in the given values:
Acceleration due to gravity = (6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) / (3.395 x 10⁶ m)²
= 3.71 m/s²
The weight of the rock can now be calculated as:
Weight = 1.40 kg x 3.71 m/s²
= 5.18 N
(ii) To find the gravitational potential energy of the rock, use the formula:
Gravitational potential energy = -(Gravitational constant x Mass of Mars x Mass of rock) / Distance between the center of Mars and the rock
The distance between the center of Mars and the rock is equal to the radius of Mars, which is given as:
Radius of Mars = 3.395 x 10⁶ m
Plugging in the values:
Gravitational potential energy = -(6.67 x 10⁻¹¹ Nm²/kg²) x (6.42 x 10²³ kg) x (1.40 kg) / (3.395 x 10⁶ m)
= -1.77 x 10⁷ J
Thus, the gravitational potential energy of the rock on Mars is -1.77 x 10⁷J.
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the plane is flying at 800 miles per hour. how far will the package travel horizontally during its descent?
The distance that a package will travel horizontally during its descent when a plane is flying at 800 miles per hour can be calculated using the following steps is 1600 miles.
What is the distance?Determine the time taken for the package to hit the ground. We know that when an object is dropped from a certain height, it falls under the influence of gravity.
The acceleration due to gravity is 9.8 m/s². The formula for the time taken for an object to fall can be given by:
t = √(2h/g)
where, t is the time taken for the object to fall is the height from which the object was dropped g is the acceleration due to gravity.
We know that the distance traveled by the package horizontally can be given by d = vt
where, d is the distance traveled horizontally by the package v is the velocity of the planet is the time taken for the package to hit the ground.
Thus, the distance is 1600 miles.
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how high on a hill must an engineless resistance free car start for its speed at the bottom to be 50m/sec
The car must start at a height of approximately 127.55 meters on the hill in order to achieve a speed of 50 m/s at the bottom, assuming it is engineless and resistance-free.
To determine the height on a hill at which an engineless, resistance-free car must start in order to achieve a speed of 50 m/s at the bottom, we can use the principle of conservation of mechanical energy.
According to this principle, the sum of the potential energy and the kinetic energy of an object remains constant in the absence of external forces.
At the top of the hill:
The car has only potential energy (PE) due to its height above the bottom.
At the bottom of the hill:
The car has both potential energy and kinetic energy (KE).
Since the car is engineless and resistance-free, we can neglect any energy losses due to friction or air resistance.
The total mechanical energy (E) at the top of the hill is equal to the total mechanical energy at the bottom of the hill:
Etop = Ebottom
The potential energy (PE) at the top of the hill is given by the formula:
PE = m * g * h
Where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill.
The kinetic energy (KE) at the bottom of the hill is given by the formula: KE = (1/2) * m * \(v^{2}\),
Where v is the speed of the car at the bottom.
Therefore, we have:
PEtop = KEbottom
m * g * h = (1/2) * m * \(v^{2}\)
We can cancel out the mass (m) from both sides of the equation:
g * h = (1/2) * \(v^{2}\)
Now, we can solve for the height (h):
h = (1/2) * \(v^{2}\) / g
Substituting the given values:
v = 50 m/s (speed at the bottom)
g = 9.8 m/\(s^{2}\) (acceleration due to gravity)
h = (1/2) * \((50 m/s)^2\) / (9.8 m/\(s^{2}\))
h = 127.55 m
Therefore, the car must start at a height of approximately 127.55 meters on the hill in order to achieve a speed of 50 m/s at the bottom, assuming it is engineless and resistance-free.
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Energy is dissipated from a rollercoaster cart as it mo es along the track.
What forms of energy does the mechanical energy transform into? Identify
two examples of energy transformation. What obser ations would you
make that would indicate this transformation took place?
A bus travels east for 3 km, then north for 4 km. What is its final displacement?
5 km southeast
5 km northwest
5 km northeast
5 km southwest
Name the angle between the refracted ray and the normal at the point of refraction,
Answer:
hiiiiiiiiiiiiiiiiii
mm
Answer:
It is called the angle of refraction
The maximum range of projectle is R° if projected at angle of 45°. It'll be 300% of Range of projectile if projected at angle? a) 30° b) 45° c) 60° d) 76° Correct answer with good explanation
Answer:
The maximum range is 300% of the range of the projectile is projected at an angle of 9.74°.
None of the options are correct.
Explanation:
Normally, ignoring air resistance, for projectile motion, the range (horizontal distance travelled) of the motion is given as
R = (u² sin 2θ)/g
where
u = initial velocity of the projectile
θ = angle above the horizontal at which the projectile was launched
g = acceleration due to gravity = 9.8 m/s²
The range is maximum when θ = 45°
R when θ = 45° is
R = (u² sin 90°)/g = (u²/g)
We are then told that this maximum range is 300% of the value obtainable for the range at a particular angle
Maximum range = 3R
(u²/g) = 3(u² sin 2θ)/g
Sin 2θ = (1/3)
2θ = sin⁻¹ (1/3) = 19.47°
θ = (19.47°/2) = 9.74°
Hope this Helps!!!
Magnet A has thrice the magnetic field strength of magnet B and at a certain distance pulls on magnet B with a force of 100 Newtons. With how much force, then, does magnet B pull on magnet A? What is the force if the distance between the magnets is doubled?
Answer:
- The force that magnet B pulls on the magnet A is equal to the force that magnet A pull on B. That is , 100N.
- F'B = 25N
Explanation:
- You have that the magnet A pulls on the magnet B with a force of 100N.
By the third Newton law you have that any force has a reaction, that is, the force that magnet B pulls on the magnet A is equal to the force that magnet A pull on B. That is , 100N.
- In order to calculate the force, if the distance between magnets is twice, you first take into account that the magnetic force is inversely proportional to the force between magnets, as follow:
\(F_B\ \alpha\ \frac{1}{r^2}\) (1)
FB: magnetic force between the magnets = 100N
If the distance is twice, you obtain:
\(F_B'\ \alpha\ \frac{1}{(2r)^2}=\frac{1}{4r^2}\\\\F_B'\ \alpha\ \frac{1}{4}F_B\)
The new force is a quarter of the initial force, that is:
\(F_B'=\frac{1}{4}(100N)=25N\)
If the distance is twice the force is a quarter of the initial force.
Describe the interaction between two top (T) strips when they are brought near each other. Do the strips attract, repel, or not interact at all?
When two top (T) strips are brought near each other, they will typically repel each other due to their electrical charges. The T strips are usually made of a conductive material,
such as copper or aluminum, which allows them to transfer electrons easily. As a result, when the two T strips come into close proximity, the electrons on the surface of the strips will interact and push away from each other, resulting in a repulsive force.
This force is known as the Coulomb force, and it is the same force that governs the interactions between charged particles.
Overall, the interaction between two T strips is likely to be repulsive due to the electrical charges on their surfaces, and they will not attract or interact in any significant way.
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when a star undergoes a nova explosion, it may return to its â quiet stateâ and later become a nova again. what would allow a nova explosion to happen to a star more than once?
in which reference frame is the translational (nonconvertible) kinetic energy greater: the reference frame in which the bat is at rest immediately before the collision or the reference frame in which the ball is at rest immediately before the collision?
The reference frame in which the bat is at rest immediately before the collision is the reference frame in which translational (nonconvertible) kinetic energy is greater.
As translational (nonconvertible) kinetic energy is greater when the bat is at rest because when it will be at rest the mass will be more. The translational dynamic energy of a body is rise to one-half the item of its mass and the square of its speed.
The translational kinetic energy depends on movement through space, and for an inflexible body of consistent mass, it rises to the item of half the mass times the square of the speed.
The movement of an unreservedly falling body could be a translational active vitality. Kinetic rangy at a pivoting fan is rotational kinetic energy.
In material science, the dynamic energy of a protest is the vitality that it has due to its movement. It is characterized as the work required to quicken a body of a given mass from rest to its expressed speed.
Having picked up this vitality amid its speeding up, the body keeps up this motor vitality unless its speed changes. The same sum of work is done by the body when decelerating from its current speed to a state of rest.
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A force of 1.0 x 104 n is exerted on a 50 g bullet throughout the 10 cm length of a gun barrel. how much work was done on the bullet? how much ke did the bullet have when it left the gun barrel? what was the speed of the bullet when it left the gun barrel?
The kinetic energy of the bullet when it left the gun barrel is 1000J.
We know that ,
K.E. = F d
where, K.E. = kinetic energy
F = force
d = distance
Given, F = 1* 10^4 N
d = 10cm = 0.1 m
Putting these values in above equation we get,
K.E. = 1000J
So the kinetic energy of the bullet when it left the gun barrel is 1000J.
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Correctly label the following anatomical features of the semicircular ducts. Cupula Supporting tells Vestibular braneh CN Hair cells Crista ampullaris BEDRE Endolymph