One uniform sphere of matter has a radius of 0.50 m and a mass of 65 kg. A second uniform sphere has a radius of 0.80 m and a mass of 87 kg. The surfaces of the spheres are 1.20 m apart, as measured on a line drawn between the centers of the spheres. What is the magnitude of the gravitational force that each sphere exerts on the other?
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Answer:
Explanation:
The magnitude of the gravitational force between the two spheres is given by:
where
G is the gravitational constant
m1 , m2 are the masses of the two spheres
r is the distance between the centres of the two spheres
Here we have:
m1 = 65 kg is the mass of the first sphere
m2 = 87 kg is the mass of the second sphere
the distance between the centres of the two spheres is equal to the sum of the radius of each sphere and the distance between the surfaces:
r = 0.50 m + 0.80 m + 1.20 m = 2.50 m
Substituting the numbers into the formula, we find:
Final answer:
To calculate the gravitational force between the two spheres, we use Newton's law of gravitation. Substituting the given values into the formula will give us the magnitude of the gravitational force.
Explanation:
To calculate the magnitude of the gravitational force between two spheres, we can use Newton's law of gravitation, which states that the force is equal to the gravitational constant (G) multiplied by the product of the masses of the spheres and divided by the square of the distance between their centers. In this case, the gravitational force exerted by the first sphere on the second sphere can be calculated as:
F = (G * m1 * m2) / r^2
Substituting the given values, we get:
F = (6.67 × 10-11 N·m2/kg2)(65 kg)(87 kg) / (1.2 m)2
Calculating this expression will give us the magnitude of the gravitational force. The force exerted by the second sphere on the first sphere will have the same magnitude.
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Final answer:
To find the momentum of an object, we multiply its mass and velocity together. Using this method, a bowling ball with a mass of 7.10 kg moving at a velocity of 5 m/s has a momentum of 35.5 kg * m/s.
Explanation:
The subject of your question involves calculating momentum. It's based on the principles of Physics. Momentum is defined as the product of an object's mass and its velocity. It's crucial in understanding motion, specifically related to the concepts of force and mass.
To calculate the momentum of the bowling ball, the formula p = mv is used where 'p' represents momentum, 'm' stands for mass and 'v' is the velocity. In this case, the mass of the bowling ball is 7.10 kg and its velocity is 5 m/s.
So, multiplying these together (7.10 kg x 5 m/s), the resulting momentum of the bowling ball is 35.5 kg * m/s.
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P momentum
m mass
v velocity
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Velocity and height are the terms that best describes what affects kinetic energy and potential energy.
By definition, the kinetic energy is given by:
Where,
m: body mass
v: body speed
On the other hand, the potential energy is:
Where,
m: body mass
g: acceleration of gravity
h: height of the object
Therefore, a set of terms that affects kinetic and potential energy are speed and height, respectively.
Answer:
The set of terms is speed and height, respectively.
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According to Newtons first law of motion, a passenger tends to continue in the state of uniform motion even after the accident which causes the passenger to move forward.
According to the Newtons first law of motion, an object will continue in a state of rest or uniform motion unless it is acted upon by an external force. This is also known as the law of inertia.
While in a car undergoing uniform motion and suddenly the car is involved in an accident which causes the vehicle stop abruptly, a person suddenly moves forward because of the tendency to continue in the former state of uniform motion according to Newtons first law.
A seat belt helps to prevent the person from suddenly moving forward in a way that may lead to injury as a result of the accident.
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Answer:
Newtons first law of motion explains what happens in a car crash because it basically states that the passenger will continue to travel at the same velocity until an unbalanced force acts on he or she. The force that will act upon he or she would be the window, so you should always wear a seat belt!
Explanation:
B.by increasing the trend on his or her tires
C.by decreasing the air resistance
D.by decreasing aerodynamic design
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The answer is C. by decreasing the air restistance. Hope this helps...
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Answer:
The purpose of a core in an electromagnet is to enhance the magnetic field strength produced by the electromagnet. The core is typically made of a ferromagnetic material, such as iron or steel, that can easily magnetize and demagnetize.
When an electric current flows through a wire wrapped around the core, a magnetic field is generated. This magnetic field is concentrated and strengthened by the core material. The core acts as a pathway for the magnetic field lines to flow through, making the electromagnet stronger and more efficient.
The core helps to increase the magnetic flux density, which is the amount of magnetic field passing through a given area. By concentrating the magnetic field, the core allows the electromagnet to exert a stronger force on nearby magnetic objects, such as attracting or repelling other magnets or moving metal objects.
To visualize this, think of the core as a "magnetic conductor" that channels and focuses the magnetic field. It's like using a magnifying glass to concentrate sunlight onto a small spot, making it hotter and more intense. Similarly, the core enhances the strength of the magnetic field produced by the electromagnet.
In summary, the purpose of a core in an electromagnet is to increase the magnetic field strength by providing a pathway for the magnetic field lines to flow through. This makes the electromagnet more powerful and allows it to perform various tasks, such as lifting objects, generating electricity, or controlling mechanical devices.
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Answer:
Purpose of a core in an electromagnet to increase the strength, efficiency, and size of the magnetic field.
Explanation:
An electromagnet is a type of magnet in which the magnetic field is produced by an electric current. Electromagnets usually consist of wire wound into a coil. A current through the wire creates a magnetic field which is concentrated in the hole in the center of the coil.
The purpose of a core in an electromagnet is to concentrate the magnetic field.
The coil of wire that creates the magnetic field in an electromagnet is typically made of copper, which has a relatively low magnetic permeability. This means that the magnetic field lines tend to spread out in all directions, resulting in a weak magnetic field.
Some of the purposes of using a core in an electromagnet are:
- To increased magnetic field strength:
The core concentrates the magnetic field, resulting in a much stronger magnetic field. - To reduced size:
The core helps to confine the magnetic field, which can reduce the size of the electromagnet. - To improved efficiency:
The core helps to direct the magnetic field, which can improve the efficiency of the electromagnet.
Overall, the core in an electromagnet plays an important role in increasing the strength, efficiency, and size of the magnetic field.