The initial kinetic energy of the body is 16.875 kg m² / s²
What is Kinetic Energy?The equation for kinetic energy states that it is the product of the magnitude of the velocity squared, or speed squared, and 1/2 the mass of the item. It is defined as the effort required to accelerate a mass-determined body from rest to the specified velocity.
Examples showing how kinetic energy is changed into and out of different forms of energy may help people better understand kinetic energy.
Calculate the initial kinetic energy of the body -
Conserving he energy, we get
Kinetic energy = 1/2 × m × v²
M = 150g = 0.150 kg
v = 15m/s
⇒K. E = 1/2 × 0.150 × 15²
⇒ K.E. = 16.875 kg m² / s²
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what creates the protective magnetic field around the earth?
The protective magnetic field around the earth is created by the movement of molten iron in the Earth's core.
The Earth's protective magnetic field is generated by the movement of molten iron and nickel in the Earth's core. The movement of this molten metal creates electrical currents, which in turn generates a magnetic field. This process is known as a dynamo.
The Earth's core, which is about 2,900 km in radius, is divided into two layers: the outer core, which is liquid and the inner core, which is solid.
The movement of the liquid outer core, driven by heat from the solid inner core, generates the Earth's magnetic field. The Earth's magnetic field is not a perfect dipole, but it is relatively symmetric around the Earth's rotational axis and it's mostly aligned with the axis, but it is tilted at an angle of about 11 degrees. The magnetic field extends from the Earth's surface out into space, and it shields the Earth from harmful solar radiation and charged particles from the solar wind. The magnetic field is important for life on earth, as it helps to prevent the harmful effects of solar radiation, and it helps to protect the planet's atmosphere.
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As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?
The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.
Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
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identify examples of how globalization has affected the field of anthropology.
Increased exposure to diversity and job opportunities for people in developing countries. Through ethnographic fieldwork, anthropologists change not only the lives of those they are studying, but their own lives
What does "anthropologist" mean?Studying what makes humans human is called anthropology. In order to understand how early human populations lived and what was significant to them, archaeologists look back hundreds or even thousands of years in the past.
What is an anthropologist's job?The history, evolution, and behavior of people are all topics that anthropologists and archaeologists research. In different parts of the world, they look at the cultures, languages, artifacts from archeological digs, and physical traits of the local population.
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What do the 1 and 2 in m1 m2 in the universal gravitation equation mean?.
r represents the distance between mass centers, and m1 and m2 are the first and second masses, respectively.
What do the 1 and 2 in m1m2 mean?The Relationship between M1 and M2 Money. M1 and M2 money have several definitions, ranging from narrow to broad. M1 = coins and currency in circulation + checkable (demand) deposit + traveler's checks. M2 = M1 + savings deposits + money market funds + certificates of deposit + other time deposits.
What does G stand for in gm1m2 r2?Force is proportional to mass and distance, related by a proportionality symbol known as the gravitational constant (G). The force of gravity occurs even at the smallest of particles, yet at this scale, force and motion is dominated by the electric force.
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On June 1, year 1, ABC Co. Issued a 200,000 euro purchase order for equipment to be supplied by a German company. ABC's functional currency is the U. S. Dollar. The equipment was delivered to ABC on November 1, year 1, and ABC recorded a payable due to the German company. ABC paid for the equipment on January 31, year 2. The following are the exchange rates in effect:
June 1, year 1 1 euro = 1. 40 U. S. Dollars
November 1, year 1 1 euro = 1. 50 U. S. Dollars
December 31, year 1 1 euro = 1. 35 U. S. Dollars
January 31, year 2 1 euro = 1. 30 U. S. Dollars
Under IFRS, what is the foreign currency gain or loss that ABC should record for the year ended December 31, year 1?
ABC Co. should record a $30.000 foreign currency gain under IFRS for the fiscal year ended December 31, year 1.
Under IFRS, ABC Co. should record the foreign currency transaction at the exchange rate on the date of the transaction, and any subsequent changes in the exchange rate should be reflected in the profit or loss in the period in which they occur.
For the year ended December 31, year 1, ABC recorded a liability of $300,000 (€200,000 x 1.5) on November 1, year 1.
However, the liability decreased to $270,000 (€200,000 x 1.35) on December 31, year 1, resulting in a foreign currency gain of $30,000 for ABC Co.
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The back of a loaded pickup truck is open.
A car rear-ends the pickup truck, causing its load to spill. Explain the event in terms of Newton's laws.
The load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car.
Newton's first law states that an object at rest will remain at rest unless acted upon by an unbalanced force. In this scenario, the load of the pickup truck is at rest in the back of the truck, but when the car rear-ends the pickup truck, it applies an unbalanced force on the load, causing it to spill out of the truck.
Newton's second law states that the force applied on an object is equal to the mass of the object multiplied by its acceleration. In this scenario, the car applies a force on the load of the pickup truck, which is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. The force causes the load to spill out of the truck.
Newton's third law states that for every action, there is an equal and opposite reaction. In this scenario, when the car rear-ends the pickup truck, the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
In summary, the load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car. The force applied on the load of the pickup truck is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. And the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
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How do you find the magnitude of a class 8?.
The magnitude of a vector is a scalar value that represents the length or size of the vector. It can be found by using the Pythagorean theorem.
To find the magnitude of a vector in two dimensions, you can use the following formula:
||A|| = sqrt(A_x^2 + A_y^2)
Where A_x, A_y are the x, y components of the vector A respectively.
The magnitude of a vector can be interpreted as the distance between the tail of the vector and its head when the tail is fixed at the origin.
It's worth mentioning that the magnitude of a vector is a scalar quantity and it's always positive, magnitude is also known as the Euclidean norm of the vector. And it's a fundamental concept in vector algebra and vector calculus, and it's used in many applications such as physics, engineering, and computer graphics.
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A highway curves to the left with a radius of curvature of 46 m and is banked at 27o, so that cars can take this curve at higher speeds. Consider a car of mass 1664 kg whose tires have a static friction coefficient 0.61 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2. Answer in units of m/s.
The car can take the curve at a speed of 32.11 m/s without skidding to the outside of the curve.
To calculate the maximum speed at which the car can take the curve, we need to first determine the maximum force of static friction that can act on the car. This can be calculated using the formula:
F_friction = friction coefficient * normal force
The normal force is equal to the weight of the car and can be calculated using the formula:
N = m * g (where m is the mass of the car and g is the acceleration of gravity)
So:
N = 1664 kg * 9.8 m/s^2 = 16,297.2 N
F_friction = 0.61 * 16,297.2 N = 9,941.33 N
Next, we need to determine the centripetal force required to keep the car moving in a circle of radius 46 m. This can be calculated using the formula:
F_centripetal = m * a
Where a is the centripetal acceleration and can be calculated using the formula:
a = v^2 / r
So we have to find v:
v = sqrt(F_friction*r /m)
v = sqrt(9,941.33 N * 46 m / 1664 kg) = 32.11 m/s
So, the car can take the curve at a speed of 32.11 m/s without skidding to the outside of the curve.
It's important to mention that this is a theoretical speed, it's always recommended to drive at lower speeds for safety reasons.
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When two different molecules move in opposite directions one into the cell and one out of the cell through the same carrier or transport protein This is protein is called a?.
When two different molecules travel in opposite directions through the same carrier or transport protein—one into the cell and the other out of the cell—the protein is said to be an antiport.
Proteins called symports allow two molecules to go across membranes in the same direction (also called symporters, synports, or symporters). The movement of two molecules across the bilayer in opposite directions is accomplished by an antiport protein. Ions can move more easily when proteins called ionophores are present. To move molecules like glucose, transport proteins employ a passive strategy. Transport proteins, however, actively allow sodium and potassium ions to cross the neuronal membrane in spite of the concentration gradient.
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What is the condition for maximum torque in induction motor Mcq?.
Torque is maximum in an induction motor when rotor resistance is equal to the rotor reactance.
Let us mathematically represent the equation of Torque of a three-phase induction motor:
T = [180/(2piNs)] [sV^2R2/(R2^2 + s^2X2^2)]
where Ns: Synchronous speed
V: Voltage of supply
R2: Rotor resistance
X2: Rotor reactance
From above formula, it can be concluded that induction motor torque varies with Slip and rotor resistance.
To get maximum torque, we apply the condition:
sm = Rm/Xm = 1
Therefore, Rm = Xm
where Rm: Motor Resistance/Phase
Xm: Motor Reactance/Phase
At the beginning of a three-phase slip ring induction motor where Nr = 0
Slip = 1
sm = Rm/Xm = 1
Xm = Rm
Therefore, maximum torque is when resistance and reactance of rotor are equal.
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What provides faster speed and lower latency?.
A wired connection to the internet offers higher speed and lower latency.
An Ethernet cable provides much faster delivery of your web address requests to your internet service provider, resulting in lower latency and faster speeds for your Internet connection. Your internet connection speeds might impact your ping in addition to the different elements that determine how good your ISP is or latency. Your ping will decrease as a result of faster data transmission and reception.
Distance, propagation time, internet connection type, website content, Wi-Fi, and router all have an impact on latency. Some of these issues can be resolved, while others are inevitable in the online world for everyone.
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How much energy is Dimmy Waistalott charged for by leaving his 100W light on 24/7 for 10
days?
The energy consumed for leaving 100 W light on 24/7 for 10 days is
8,64 X [tex]10^{7}[/tex] J (Joule)
Power for light (P) = 100 W = 100 J/S (Joule / Second)
Time consuming (T) = 24 hours for 10 days
= 10 days x 24 hours x 3600 second
= 864.000 S (second)
Based on the formula for Power
P = [tex]\frac{Energy}{Time}[/tex]
We can find the E (Energy) that was consumed by Dimmy Waistalott
Energy = P x T
= 100 J/S x 864.000 S
= 86.400.000
= 864 x [tex]10^{5}[/tex] J
E = 8,64 x [tex]10^{7}[/tex] J
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A highway curves to the left with a radius of curvature of 46 m and is banked at 27o, so that cars can take this curve at higher speeds. Consider a car of mass 1664 kg whose tires have a static friction coefficient 0.61 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2. Answer in units of m/s.
The car can take the curve at a speed of 32.11 m/s without skidding to the outside of the curve.
To calculate the maximum speed at which the car can take the curve, we need to first determine the maximum force of static friction that can act on the car. This can be calculated using the formula:
F_friction = friction coefficient * normal force
The normal force is equal to the weight of the car and can be calculated using the formula:
N = m * g (where m is the mass of the car and g is the acceleration of gravity)
So:
N = 1664 kg * 9.8 m/s^2 = 16,297.2 N
F_friction = 0.61 * 16,297.2 N = 9,941.33 N
Next, we need to determine the centripetal force required to keep the car moving in a circle of radius 46 m. This can be calculated using the formula:
F_centripetal = m * a
Where a is the centripetal acceleration and can be calculated using the formula:
a = v^2 / r
So we have to find v:
v = sqrt(F_friction*r /m)
v = sqrt(9,941.33 N * 46 m / 1664 kg) = 32.11 m/s
So, the car can take the curve at a speed of 32.11 m/s without skidding to the outside of the curve.
It's important to mention that this is a theoretical speed, it's always recommended to drive at lower speeds for safety reasons.
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HELP PLEASE SHOW ALL WORK!
a. At the bottom of the circle, the ball is moving in a circle, so it is experiencing a centripetal acceleration towards the center of the circle. The free body diagram for the ball would show the tension force (T) acting towards the center, and the gravitational force (m*g) acting downwards. The direction of acceleration is towards the center of the circle.
b. Using the free body diagram, we can set up the equation needed to determine the tension in the string:
T = m * a
Where T is the tension in the string, m is the mass of the ball (0.65 kg) and a is the centripetal acceleration of the ball (v^2/r).
c. To calculate the tension in the string, we need to first find the centripetal acceleration. We can use the equation:
a = v^2/r
where v is the velocity of the ball at the bottom of the circle (2.8 m/s) and r is the radius of the circle (0.50 m).
a = (2.8 m/s)^2 / 0.50 m = 11.2 m/s^2
Now, we can use the equation T=m*a to find the tension in the string:
T = 0.65 kg * 11.2 m/s^2 = 7.28 N
So the tension in the string is 7.28 N
A 175g piece of iron and a 175g piece of aluminum are both warmed to 99.7°C. The metal samples are allowed to cool to 21.5°C. Which sample underwent the greatest heat change?
The aluminum sample will undergo the greatest heat change.
What is heat transfer formula?The amount of heat that a substance absorbs or loses is equal to the change in its internal energy. The heat change, also known as the heat transfer, is given by the formula Q = mcΔT, where ΔT is the change in temperature.
Q is the heat transfer; c is the specific heat and m is the mass. Since both samples have the same mass, the sample that has the greater heat change is the one that has the greater specific heat. The specific heat of aluminum is about 0.90 J/g°C and the specific heat of iron is about 0.45 J/g°C. So, the aluminum sample underwent the greatest heat change.
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Does latency increase with distance?.
Yes, the latency may increase with increase in distance because latency is directly proportional to the distance and inversely proportional to the propagation speed.
Latency refers to the delay in time which takes place when a unit of data commonly referred to as packets are transferred from one place to another. It is because of the interruptions by other digital networks or low internet speed. It is given by the formula that latency is the ratio of propagation distance to propagation speed. Thus greater the distance, greater will be the latency. Latency must be low to provide most closer real time approach while communicating online, such as in video conferences, meetings or online chatting.
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Does mass depend on acceleration?.
No, mass and acceleration are two different physical quantities that do not have any direct relationship.
Mass is a scalar quantity that measures the amount of matter in an object, and it is independent of its location or motion. It is the total amount of matter in an object, and it doesn't change when the object is accelerated or decelerated.
Acceleration, on the other hand, is a measure of how much the velocity of an object is changing over time. It can be defined as the rate of change of velocity. The acceleration of an object can change if the object is accelerating or decelerating, but it doesn't change the mass of the object.
So, mass does not depend on acceleration and acceleration does not depend on mass. They are independent physical quantities that are used to describe different aspects of an object. For example, the mass of an object determines its inertia, while acceleration determines how fast an object is changing its velocity.
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Explain one way organisms with similar niches reduce competition when they are found in the same ecosystem? Give one example.
One way organisms with similar niches reduce competition when they are found in the same ecosystem is by resource partitioning.
One example of resource partitioning is when two species of birds foraging together feed on different resources; one eats insects on tree trunks while the other eats insects in the outer branches.
What is resource partitioning?Resource partitioning, which helps prevent rivalry in an ecological niche, is the division of scarce resources among species.
Two similar species employ mostly non-overlapping resources as a result of this type of evolution, and as a result, they occupy different niches. Because there is less direct rivalry between the species as a result of this resource partitioning, the species can coexist.
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Is gravity dependent on mass or size?.
Gravity depends on mass and distance between the objects. Gravity is the force with which bodies attract other objects towards its Centre.
Gravity depends on two factors, Mass of the object and the distance between them. Gravity is calculated using the formula,
F= [tex]\frac{Gm_{1}m_{2} }{R^{2} }[/tex]
F is Gravitational force
G is Gravitational constant
m₁ , m₂ are masses, R is the distance.
Gravitational force is directly proportional to mass of the two bodies. That means gravity increases with the mass. If we take earth's gravity as example a heavier object will fall faster than a lighter object.
So gravity is directly proportional to mass.
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A National Guard helicopter is helping to fight a wildfire by dumping water from a large external container. The container holds 2,500 liters (L) of water (density of water is 1 kg/L). If the water is released from a height of 75 m above the ground, what is the change in potential energy as it falls to the ground?
This part applies to each person who offers a hazardous material for transportation.
What is potential energy?Potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth. In the raised position it is capable of doing more work. Potential energy is a property of a system and not of an individual body or particle; the system composed of Earth and the raised ball, for example, has more potential energy as the two are farther separated.
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These waves are traveling at the same speed. Which wave has the highest frequency? a. Wave frequency with line crossing in the middle b. A wave frequency with line crossing in the middle c. A wave frequency with line crossing in the middle d. A wave frequency with line crossing it.
The accompanying figure makes it evident that wave (a) has the shortest wavelength, or the shortest distance between two crests or troughs. A will therefore have the highest frequency of all waves.
Which of the waves has the highest frequency?The strongest, shortest, and most energetic gamma rays are also the most energetic.In contrast to water waves, electromagnetic waves always move at the same speed (3 hundred million metres per second), and sound waves all move through a given medium at the same pace (for example, approximately 340 metres per second in air).The length of one cycle in a recurring occurrence makes the period the reciprocal of the frequency. Gamma rays are therefore the most powerful, have the highest frequency, and have the shortest wavelength. Gamma Rays are the last response.Because they are created by the combination of two or more basic waves that meet at the same location, most waves appear complex.To learn more about frequency refer to:
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 newtons to a height of 4 meters. if 400joules of work is done, how much force must have been applied?
If 400 joules of work is done, 100 newtons force much have been applied
In order to calculate the force required to lift an object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, we must first determine the amount of work done.
Since 400 joules of work was done, we can use the formula Work = Force x Distance to calculate the force required.
In this case, the distance is 4 meters, so the equation becomes
400 = Force x 4.
By dividing 400 by 4 we can determine that the force required is 100 newtons.
Therefore, in order to lift the object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, 100 newtons of force must have been applied.
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A 50. -kilogram woman wearing a seat belt is traveling in a car that is moving with a velocity of +10. Meters per second. In an emergency, the car is brought to a stop in 0. 50 second. What force does the seat belt exert on the woman so that she remains in her seat?.
The force exerted on the woman by the seat belt is equal to 50 kg x 20 m/s2 = 1000 N.
What is force?Force is a push or pull that acts upon an object, causing it to accelerate or change direction. It is an influence that can cause an object to change its motion, direction, shape, or even energy. Force can be generated through direct physical contact, or it can be generated from a distance, such as when a magnet pulls on a piece of metal. Forces are measured in newtons, and the SI unit for force is the Newton (N).
The force exerted on the woman by the seat belt is equal to her mass times the acceleration experienced by the car. The acceleration of the car is equal to the change in velocity (10 m/s) divided by the time it took for the car to stop (0.50 s), which is equal to 20 m/s2. Therefore, the force exerted on the woman by the seat belt is equal to 50 kg x 20 m/s2 = 1000 N.
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Two identical balls roll down opposite sides of a frictionless platform, which one will be going faster at the bottom?.
Ball 1 will be going faster at the bottom platform is more inclined, it will allow the ball to roll down faster.
What is a surface without friction?A surface is said to be frictionless if it has a force acting on any object that is almost zero or negligible, i.e., there is no resistance between the surface and the substance, allowing the object to slide and move freely without any friction.
The skater has no net acceleration if no forces are acting on him and he is on a frictionless surface. The acceleration must be zero because the skier must have mass. If there is no acceleration while an object is moving, its velocity stays constant.
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A lever is used to lift an object with a weight of 60 newtons. The effort force is 15 meters from the fulcrum, while the load force is 5 meters from the fulcrum. What is the mechanical advantage?(1 point).
The mechanical advantage in this case is 3.
How can a lever's load force be calculated?
When applied to a class one lever, the force of the effort (Fe) multiplied by the distance from the fulcrum (de) of the effort equals the force of the resistance (Fr) multiplied by the distance from the fulcrum of the resistance (dr).
The ratio of the lengths of the effort arm and resistance arm determines a lever's ideal mechanical advantage. The effort force, Fe, is typically calculated as the resistance force, Fr, divided by the effort force, Fe.
We know that
MA = effort arm / load arm
MA = 15 m/5 m
MA = 3
Thus, the mechanical advantage in this case is 3.
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Complete question:
A lever is used to lift an object with a weight of 60 newtons. The effort force is 15 meters from the fulcrum, while the load force is 5 meters from the fulcrum. What is the mechanical advantage?(1 point).
Student 1 claims that the work done by the gravitational force on an object as it falls depends only on the vertical distance of the fall. Student 2 claims that the gravitational force does less work on an object that falls gradually along a shallow incline than one that falls along a steeper incline.
The gravitational force on object falling always depends on vertical distance.
Gravitational force : The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.Gravity is a force that attracts a body towards the centre of the earth or any other physical body having mass.Gravity has the same effect on all objects. If you drop an iron road and a feather, they will fall at the exact same speed. Due to the effect of air resistance on gravity, it might look like the iron rod falls at a greater speed. However, if they were dropped in the vacuum, they would fall at the exact same time. The gravity of an object depends on its size. To be more specific, the Gravity of an object depends on the mass of that object. It is undoubtedly the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter.To know more about gravitational force visit:
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PLEASE HELP WILL GIVE 20 POINTS TO THE ANSWER!!! A 3000 kg car is moving east at 15 m/s with
another 2200 kg car moving west at 10 m/S
If the 2 cars collide and stick together, what speed and direction will they travel?
Answer:
4.42 m/s EAST
Explanation:
Conservation of Momentum Law: total momentum before the collision must equal the total momentum after the collision.
Momentum = P = mv
East is the positive direction.
(3000 kg)(15 m/s) - (2200 kg)(10 m/s) = (3000 kg + 2200 kg)v
45,000 kg·m/s - 22,000 kg·m/s = (5200 kg)v
23,000 kg·m/s = (5200 kg)v
v = (23,000 kg·m/s) / 5200 kg = 4.42 m/s EAST
The direction is east because the final velocity is (+)
which law states that volume increases with temperature
Charle's law states that volume increases with temperature.
According to Charles' Law, while pressure is maintained constant, the volume of a given amount of gas varies in direct proportion to the absolute temperature of the gas. The Kelvin scale is used to measure temperature to determine the absolute temperature. Since 0 on the Kelvin scale equates to a total cessation of molecular motion, it must be employed.
The aroma and flavour of freshly baked bread are enjoyed by many. As a result of yeast reacting with sugar, it is light and fluffy. When the temperature is high, the yeast turns the sugar into carbon dioxide, which causes the dough to expand. The final product is a tasty treat, especially when melted butter is added.
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What is torque write its unit and dimensional formula?.
In 3 dimensions, a torque is in fact a that are derived for particle by mixing a centroid (length vector) or a stress virus linear. If Q is its derived item, so Q = MᵃLᵇTᶜ is known as 3d ratio, or the notation a, b, but c are known as the dimensions.
What exactly does torque mean?Torque is a twisted or twisting force that frequently results in rotation around in an axis, which may be a fixed point or the center of mass. The capacity of something spinning, such as a cog or a shafts, to resist turning resistance is another way to think of torque.
What does the word "torque" mean and what does it mean graphically?Although a capital "T" is typically used to represent torque, the true sign is indeed the Greek letter omega, or "ω" The letter "M" is used to denote torque when it is alluded to as a second of force.
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On the way to the moon, the apollo astro- nauts reach a point where the moon’s gravi- tational pull is stronger than that of earth’s. find the distance of this point from the center of the earth. the masses of the earth and the moon are 5.98 × 1024 kg and 7.36 × 1022 kg, respectively, and the distance from the earth to the moon is 3.84 × 108 m. answer in units of m.
The distance of this point from the center of the earth will be 3.46* 10^8 m due to gravitational pull.
Gravity is the force that pulls objects toward the center of a planet or other object. During their orbits around the sun, all the planets are held in place by gravity. When the gravitational pull of the moon on the astronaut becomes stronger than the gravitational pull of the earth,
Force Ea< Force Ma
G [tex]\frac{MgMa}{x^{2} }[/tex]<= G [tex]\frac{MmMa}{(L-x)^{2} }[/tex]
[tex]\frac{1.98* 10^(24)}{x^{2} }[/tex]<= [tex]\frac{7.36* 10^(22)}{(3.84*10^8-x)^{2} }[/tex]
so solving,
x= 3.46*10^8 m.
So, The distance of this point from the center of the earth will be 3.46* 10^8 m due to gravitational pull.
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