Which option is the force with the greatest magnitude?
The force needed to lift a pencil
The force needed to lift a hairbrush
The force needed to lift a chair
The force needed to lift a textbook
The force needed to lift a textbook.
To determine which option has the force with the greatest magnitude, we need to compare the forces required to lift each object. The force needed to lift an object is directly proportional to its mass.
1. Pencil: A pencil is very light, so the force required to lift it would be relatively low.
2. Hairbrush: A hairbrush is slightly heavier than a pencil, so the force needed to lift it would be slightly greater.
3. Chair: A chair is considerably heavier than a hairbrush or pencil, so the force required to lift it would be significantly higher.
4. Textbook: A textbook is usually the heaviest among the listed objects, so the force needed to lift it would likely be the greatest.
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 these options, we need to consider the weight of each object. The force required to lift an object is equal to its weight, which is determined by the acceleration due to gravity (approximately 9.8 m/s^2) multiplied by its mass.
To compare the forces, we can use the formula:
Force = mass × acceleration due to gravity
Let's consider the weight of each object to determine the force required to lift them:
1. Pencil: The mass of a pencil is very small, typically around 10 grams (0.01 kg). Therefore, the force required to lift a pencil would be approximately:
Force = 0.01 kg × 9.8 m/s^2 = 0.098 N
2. Hairbrush: A hairbrush usually weighs more than a pencil, but still relatively light. Let's assume it weighs around 200 grams (0.2 kg). The force required to lift a hairbrush would be:
Force = 0.2 kg × 9.8 m/s^2 = 1.96 N
3. Chair: Chairs are generally heavier objects. Let's assume the mass of a chair to be around 10 kilograms. The force required to lift a chair would be:
Force = 10 kg × 9.8 m/s^2 = 98 N
4. Textbook: Textbooks are usually heavier than the previous objects mentioned. Assuming a mass of 2 kilograms, the force required to lift a textbook would be:
Force = 2 kg × 9.8 m/s^2 = 19.6 N
From these calculations, we can see that the force with the greatest magnitude is the force needed to lift a chair, which is 98 Newtons.