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The force required to lift 200 g of mass...

The force required to lift 200 g of mass vertically against the force of gravity is expressed in

A

Newton

B

gram force

C

kilogram force

D

all of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the force required to lift a mass of 200 g vertically against the force of gravity, we can follow these steps: ### Step-by-Step Solution: 1. **Convert the mass from grams to kilograms**: - The mass given is 200 g. To convert grams to kilograms, we use the conversion factor \(1 \text{ kg} = 1000 \text{ g}\). - Therefore, \(200 \text{ g} = \frac{200}{1000} \text{ kg} = 0.2 \text{ kg}\). 2. **Calculate the weight of the mass**: - The weight (W) of an object can be calculated using the formula: \[ W = m \times g \] where \(m\) is the mass in kilograms and \(g\) is the acceleration due to gravity. We will use \(g = 10 \text{ m/s}^2\) for simplicity. - Substituting the values: \[ W = 0.2 \text{ kg} \times 10 \text{ m/s}^2 = 2 \text{ N} \] 3. **Determine the force required to lift the mass**: - To lift the mass vertically against gravity, the applied force must be greater than the weight of the mass. If we apply a force equal to the weight (2 N), the mass will not move; it will just remain in equilibrium. - Therefore, the force required to lift the mass must be slightly greater than 2 N. ### Final Answer: The force required to lift 200 g of mass vertically against the force of gravity is slightly greater than 2 Newtons. ---
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