A housekeeper is cleaning the kitchen and decides to to use a ladder to reach a top shelf. As he/she is cleaning he/she is start
1 answer:
The amount of gravitational force between both objects will be the same.
The magnitude of the Earth's gravitational force exerted on the housekeeper is calculated by applying Newton's second law of motion;
F = mg
where;
<em>m </em><em>is the mass of the housekeeper</em>
<em>g </em><em>is acceleration due to gravity</em>
According to Newton's third law of motion, action and reaction are equal and opposite.
The force exerted on the housekeeper by the Earth is equal in magnitude to the force exerted on the Earth by the housekeeper.
The two forces are equal in magnitude but opposite in direction.
Thus, the correct option is " the amount of gravitational force between both objects will be the same"
<em>The</em><em> missing part</em><em> of the </em><em>question </em><em>is below:</em>
a. the Earth exerts the largest amount of gravitational force
b. the housekeeper exerts the largest amount of gravitational force
c. the amount of gravitational force between both objects will be the same
Learn more about Newton's third law of motion here: brainly.com/question/15507
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Answer:
vcyl / vsph = 1.05
Explanation:
- The kinetic energy of a rolling object can be expressed as the sum of a translational kinetic energy plus a rotational kinetic energy.
- The traslational part can be written as follows:
- The rotational part can be expressed as follows:
- where I = moment of Inertia regarding the axis of rotation.
- ω = angular speed of the rotating object.
- If the object has a radius R, and it rolls without slipping, there is a fixed relationship between the linear and angular speed, as follows:
- For a solid cylinder, I = M*R²/2 (4)
- Replacing (3) and (4) in (2), we get:
- Adding (5) and (1), we get the total kinetic energy for the solid cylinder, as follows:
- Repeating the same steps for the spherical shell:
- Since we know that both masses are equal each other, we can simplify (6) and (9), cancelling both masses out.
- And since we also know that both objects have the same kinetic energy, this means that (6) are (9) are equal each other.
- Rearranging, and taking square roots on both sides, we get:
- This means that the solid cylinder is 5% faster than the spherical shell, which is due to the larger moment of inertia for the shell.