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Question bank: Gravitation: Gravitational Acceleration

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Question 1:

Medium

Explain what gravitational acceleration is and how it is measured on Earth. How does gravitational acceleration vary on different planets in the Solar System? Explain how gravity acceleration can affect objects in free fall.

Gravitation: Gravitational Acceleration

Question 2:

Hard

An astronaut on a space mission needs to calculate the acceleration of gravity on a small asteroid he is exploring. The small asteroid has a mass of 3.5 x 10^10 kg and a radius of 2.5 km. Using Newton's Universal Law of Gravitation, the astronaut wants to determine the acceleration of gravity on the surface of this asteroid, knowing that the gravitational constant G is 6.674 x 10^-11 N m^2/kg^2. After performing the calculation, he compares the acceleration found with that of Earth and observes that the acceleration of gravity on Earth at a distance that is twice the radius of Earth is different from the acceleration he calculated for the asteroid. Considering that the acceleration of gravity on the surface of Earth is 9.8 m/s^2 and the radius of Earth is 6.371 x 10^6 m, determine: 1) The acceleration of gravity on the surface of the small asteroid. 2) The acceleration of gravity on Earth at a distance that is twice the Earth's radius, and explain why it is different from the calculated acceleration on the asteroid.

Gravitation: Gravitational Acceleration

Contextualized Question

Calculus Question

Question 3:

Hard

Gravitation: Gravitational Acceleration

Contextualized Question

Question 4:

Easy

A Physics student decides to conduct an experiment to estimate the gravitational acceleration of Earth. He drops a ball from a height of 10 meters and measures the time it takes for the ball to touch the ground. If he timed 1.4 seconds for the ball to reach the ground, what is the closest value of Earth's gravitational acceleration in m/s², according to the experiment? Use the formula: h = 0.5 * g * t².

Gravitation: Gravitational Acceleration

Question 5:

Easy

An astronaut throws a ball vertically upwards on an unknown planet. The initial velocity of the ball is 20 m/s and the acceleration due to gravity on the planet is 5 m/s². What will be the maximum height reached by the ball on the planet? Consider that the acceleration due to gravity is constant and the ball does not experience air resistance.

Gravitation: Gravitational Acceleration

Contextualized Question

Calculus Question

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