Solving Exercises on Pages 69-70 Physics 10: Gravitational Force - Law of Universal Gravitation

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Content

Exercise 1 Solution Physics 10 Textbook Page 69

Solve Exercise 2 Physics 10 Textbook Page 69

Solution for Exercise 3 Page 69 Physics Textbook Grade 10

Solution for Exercise 4 Page 69 Physics Textbook Grade 10

Solve Exercise 5 Page 70 Physics Textbook Grade 10

Solve Exercise 6 Page 70 Physics Textbook Grade 10

Solve Exercise 7 Page 70 Physics Textbook Grade 10

Gravitational Force - Law of Universal Gravitation is a crucial topic for students to master in order to enhance their problem-solving skills in Physics 10. Through the solutions provided for exercises on pages 69 and 70 of Physics 10, students will receive guidance and gain a deeper understanding of this lesson.

Exercise 1 Solution Physics 10 Textbook Page 69

Problem: State the Law of Universal Gravitation and write the formula for gravitational force?

Statement of the Law of Universal Gravitation and formulate the gravitational force?

Solution:

Law: Gravitational force between any two point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Solve Exercise 2 Physics 10 Textbook Page 69

Question:

Define the concept of center of mass of an object?

Solution:

The center of mass of an object is the point where its gravitational force vector acts.

Solution for Exercise 3 Page 69 Physics Textbook Grade 10

Question:

Why does the acceleration of free fall and the weight of an object decrease as it goes higher?

Explanation:

Solution for Exercise 4 Page 69 Physics Textbook Grade 10

Question:

A object with a mass of 1 kg, on the surface of the Earth has a weight of 10N. When the object is moved to a point 2R away from the center of the Earth (R is the radius of the Earth), what is its weight?

A. 1 N B. 2.5 N

C. 5N D. 10N

Solution:

Solve Exercise 5 Page 70 Physics Textbook Grade 10

Question:

Two ships, each with a mass of 50,000 tons and separated by 1 km, where g = 10 m/s². Compare the gravitational force between them with the weight of a scale with a mass of a 20g weight.

A. Greater

B. Equal

C. Lesser

D. Cannot be determined.

Solution:

Solve Exercise 6 Page 70 Physics Textbook Grade 10

Question:

How much force does Earth exert on the Moon? Given that the distance between the Moon and Earth is R = 38.10⁷ m, the mass of the Moon is m = 7.37.10²² kg, and the mass of Earth is M = 6.0.10²⁴ kg

Solution:

Solve Exercise 7 Page 70 Physics Textbook Grade 10

Question:

Calculate the weight of a space traveler with a mass of 75kg when the person is:

a) On Earth (take g = 9.8 m/s²)

b) On the Moon (take g_mt = 1.70 m/s²)

c) On Mars (take g_kt = 8.7m/s²)

Solution:

Applying the formula: P = mg; m = 75kg.

a) Weight of the space traveler when on Earth: P = 75.9.8 = 735N.

b) Weight of the space traveler when on the Moon: P_mt = 75.1.7 = 127.5N.

c) Weight of the space traveler when on Mars: P_kt = 75.8.7 = 652.5N.

Chapter I Dynamics of Particle, you should refer to Exercise Solution Hint on pages 78, 79 of Physics 10 textbook to study well Physics 12.

Elastic force of spring - Impulse Law is the next topic of Chapter I Dynamics of Particle in Physics 10 Grade 11, let's also refer to Exercise Solution Hint on page 74 Physics 10 to master the knowledge and study well Physics 10.

Frequently Asked Questions

What is the Law of Universal Gravitation and its formula?

The Law of Universal Gravitation states that the gravitational force between any two point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The formula for gravitational force can be expressed as F = G(m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two masses.

How do you define the center of mass of an object?

The center of mass of an object is defined as the specific point where its gravitational force vector acts. This point represents the average position of all the mass in the object and is crucial for understanding the dynamics of motion and stability.

Why does the weight of an object decrease as it moves higher above the Earth?

Yes, the weight of an object decreases as it moves higher above the Earth due to the reduction in gravitational pull. As the distance from the Earth's center increases, the gravitational force acting on the object diminishes, resulting in a lower weight measurement.

How can we calculate the gravitational force between two objects?

To calculate the gravitational force between two objects, use the formula F = G(m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers. This formula allows us to quantify the force exerted by the masses on each other.

What factors influence the gravitational force between two point masses?

The gravitational force between two point masses is influenced by two main factors: the masses of the objects and the distance between them. Specifically, increasing either mass will increase the gravitational force, while increasing the distance will decrease it, as per the Law of Universal Gravitation.

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