Which option is the force with the greatest magnitude?

a the force needed to lift a pencil
b the force needed to lift a hairbrush
c the force needed to lift a textbook
d the force needed to lift a chair

The option with the force of greatest magnitude is:

d) the force needed to lift a chair

To determine which option has the force with the greatest magnitude, we need to compare the weights or forces needed to lift each object.

1. The force needed to lift a pencil is relatively small because pencils are lightweight.

2. The force needed to lift a hairbrush might be slightly larger than the force needed for a pencil, but it is still relatively small.

3. The force needed to lift a textbook is usually much larger than the forces needed for smaller objects like pencils or hairbrushes. Textbooks are heavier and require more force to lift.

4. The force needed to lift a chair is likely to be the greatest among the given options. Chairs are usually heavier than pencils, hairbrushes, and textbooks, requiring a greater force to lift and move.

Therefore, option d, the force needed to lift a chair, is likely to have the greatest magnitude.

To determine which option has the force with the greatest magnitude, we need to consider the weight of the objects being lifted.

The force needed to lift an object is equal to its weight, which depends on the mass of the object and the acceleration due to gravity. The weight of an object is given by the equation:

Weight = Mass x Acceleration due to gravity

Since the mass of each object is not given, and we assume the acceleration due to gravity is the same, we can compare the weights by comparing the objects themselves.

In this case, the force with the greatest magnitude will be exerted to lift the heaviest object. Typically, a textbook or a chair would be heavier than a pencil or a hairbrush. Therefore, the force needed to lift a textbook or a chair would have the greatest magnitude compared to lifting a pencil or a hairbrush.

So, the option with the force of greatest magnitude would be c) the force needed to lift a textbook or d) the force needed to lift a chair.