Which option is the force with the greatest magnitude?

1. The force needed to lift a pencil
2. The force needed to life a chair
3. The force needed to life a hairbrush
4. The force needed to life a textbook

The force with the greatest magnitude is the force needed to lift a textbook.

To determine which option has the force with the greatest magnitude, we need to consider the weight of each object. The force needed to lift an object is equal to its weight.

1. The force needed to lift a pencil is relatively small since pencils are lightweight.
2. The force needed to lift a chair is greater than a pencil since chairs are generally heavier.
3. The force needed to lift a hairbrush is smaller than a chair, but greater than a pencil.
4. The force needed to lift a textbook is generally greater than the force needed to lift a chair, hairbrush, or pencil since textbooks are usually quite heavy.

Therefore, the force with the greatest magnitude would be the force needed to lift a textbook.

To determine the force with the greatest magnitude among the given options, we need to consider the weight of each object. The weight of an object is the force exerted on it due to gravity.

The weight of an object can be calculated using the formula: weight = mass × acceleration due to gravity (W = m × g), where mass is the amount of matter in the object and acceleration due to gravity is a constant.

Without knowing the specific mass of each object, we can make some general assumptions. Let's assume that the mass of the pencil is the smallest among the objects mentioned, while the mass of the textbook is the largest.

The acceleration due to gravity is also a constant and is approximately 9.8 m/s^2 on Earth.

Comparing the force needed to lift each object:

1. The force needed to lift a pencil (assuming it is the lightest) will be the smallest among the given options.
2. The force needed to lift a chair will depend on the mass of the chair, but it will likely be greater than the force needed to lift a pencil.
3. The force needed to lift a hairbrush will also depend on the mass of the hairbrush but should be smaller than the force needed to lift a chair.
4. The force needed to lift a textbook (assuming it is the heaviest) will require the greatest amount of force among the given options.

Therefore, the force with the greatest magnitude would be option 4, the force needed to lift a textbook.