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To find acceleration equal to gravity (9.81 m/s^2), calculate centripetal acceleration using the formula a = v^2/r. Rearranging, v = sqrt(rg) = sqrt(709.81) = 26.94 m/s. To determine the speed, set v equal to the tangential speed when moving in a circle, v = rw. Rearranging, w = v/r = 26.94/70 = 0.385 rad/s. Finally, to find the speed the car would have to round the turn, v = wr = 0.38570 = 26.95 m/s.

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What depth from surface of earth is value of acceleration due to gravity one fourth the value at the earth surface?

The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them. As a result, a gravity of one fourth that on the surface of the Earth would be observable at an altitude equal to the radius of the Earth, i.e. 6400 km. Note: This is up, in the air, not down, into the Earth. This distance is in outer space.In the other direction, the force of gravity gets smaller as one goes deeper into the earth. This is because the mass outside your current radius (as you descend) does not contribute. The mass inside your current radius is proportional to the cube of the radius. Gravity is proportional to this mass divided by the square of the radius. Therefore, gravity decreases linearly with the radius. So the acceleration of gravity is equal to one fourth its value at the earth's surface at one fourth of the earth's radius, or a depth of approximately 4800 km.


If acceleration equals gravity. what is the weight of the object?

If acceleration is equal to gravity (approximately 9.8 m/s^2 on Earth), then the weight of the object would be equal to its mass multiplied by the acceleration due to gravity. This relationship is described by the formula Weight = mass x acceleration due to gravity.


Acceleration due to gravity is usually equal to what?

Acceleration due to gravity is usually equal to 9.8 m/s^2 on the surface of the Earth.


Are acceleration due to gravity on small stone and big stone equal?

Yes, the acceleration due to gravity on both small and big stones is equal because it depends only on the mass of the Earth and the distance from its center. The mass of the stone does not affect the acceleration due to gravity.


An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N The radius of the planet is 4000000 m What free fall acceleration will the 0.5kg OJ?

The weight of an object is equal to the force of gravity acting on it, which is calculated as weight = mass * acceleration due to gravity. Therefore, 20 N = 0.50 kg * acceleration due to gravity. Solving for acceleration due to gravity gives us 40 m/s^2.

Related Questions

What depth from surface of earth is value of acceleration due to gravity one fourth the value at the earth surface?

The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them. As a result, a gravity of one fourth that on the surface of the Earth would be observable at an altitude equal to the radius of the Earth, i.e. 6400 km. Note: This is up, in the air, not down, into the Earth. This distance is in outer space.In the other direction, the force of gravity gets smaller as one goes deeper into the earth. This is because the mass outside your current radius (as you descend) does not contribute. The mass inside your current radius is proportional to the cube of the radius. Gravity is proportional to this mass divided by the square of the radius. Therefore, gravity decreases linearly with the radius. So the acceleration of gravity is equal to one fourth its value at the earth's surface at one fourth of the earth's radius, or a depth of approximately 4800 km.


If acceleration equals gravity. what is the weight of the object?

If acceleration is equal to gravity (approximately 9.8 m/s^2 on Earth), then the weight of the object would be equal to its mass multiplied by the acceleration due to gravity. This relationship is described by the formula Weight = mass x acceleration due to gravity.


What is mass multiplied by gravity?

Force or weight Force= mass X acceleration gravity is an acceleration (9.8m/s2) Weight = mass X acceleration due to gravity


Acceleration due to gravity is usually equal to what?

Acceleration due to gravity is usually equal to 9.8 m/s^2 on the surface of the Earth.


Are acceleration due to gravity on small stone and big stone equal?

Yes, the acceleration due to gravity on both small and big stones is equal because it depends only on the mass of the Earth and the distance from its center. The mass of the stone does not affect the acceleration due to gravity.


When does a satellite have the greatest acceleration?

When it is closest to the planet.One of the components of the acceleration, the normal acceleration, is equal to v2/r, where v is the satellite's speed and r is the radius of the current orbit followed by the satellite. So, the smaller the radius, the higher the acceleration.


What is the wight of gravity?

The force of gravity is an acceleration and on Earth is equal to 9.8 m/s^2.


An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N The radius of the planet is 4000000 m What free fall acceleration will the 0.5kg OJ?

The weight of an object is equal to the force of gravity acting on it, which is calculated as weight = mass * acceleration due to gravity. Therefore, 20 N = 0.50 kg * acceleration due to gravity. Solving for acceleration due to gravity gives us 40 m/s^2.


What is the formula for the centripetal acceleration of an object moving in a circular path, where the acceleration (a) is equal to the square of the velocity (v) divided by the radius (r)?

The formula for centripetal acceleration is a v2 / r, where a is the acceleration, v is the velocity, and r is the radius of the circular path.


What is the acceleration due to gravity near the surface of earth equal to?

The acceleration due to gravity near the surface of the Earth is approximately 9.81 m/s^2.


How does newtons second law related to gravity?

Newton's second law of motion states that the force acting on an object is equal to the object's mass multiplied by its acceleration (force = mass x acceleration). In the case of gravity, the force of gravity acting on an object is directly proportional to the object's mass. This means that the force of gravity on an object is equal to the object's mass multiplied by the acceleration due to gravity.


Acceleration due to gravity is usually equal to m s³?

Acceleration due to gravity is commonly denoted as 9.81 m/s² on Earth. This value represents the acceleration experienced by objects in free fall under the influence of Earth's gravity.