How does weight change with an increase in mass?

How does weight change with an increase in mass?

• A. Weight decreases with mass
• B. Weight remains constant regardless of mass
• C. Weight increases with mass
• D. Weight is independent of gravity

Answer: (C)

Weight is defined as the force exerted on an object due to gravity and is calculated using the formula: \[ \text{Weight} = \text{mass} \times \text{gravitational field strength} (g) \] This means that weight depends directly on the mass of the object. As the mass increases, the weight also increases proportionately, assuming that the gravitational field strength remains constant (like on the surface of the Earth). Therefore, with an increase in mass, the weight of the object increases because more mass results in a greater gravitational force acting on it. In contexts where the gravitational field strength can vary—such as on different planets—weight could differ for the same mass, but if we are keeping the gravitational field strength constant, the direct relationship between mass and weight holds. This concept explains why the correct answer states that weight increases with mass.

Weight is defined as the force exerted on an object due to gravity and is calculated using the formula:

[ \text{Weight} = \text{mass} \times \text{gravitational field strength} (g) ]

This means that weight depends directly on the mass of the object. As the mass increases, the weight also increases proportionately, assuming that the gravitational field strength remains constant (like on the surface of the Earth). Therefore, with an increase in mass, the weight of the object increases because more mass results in a greater gravitational force acting on it.

In contexts where the gravitational field strength can vary—such as on different planets—weight could differ for the same mass, but if we are keeping the gravitational field strength constant, the direct relationship between mass and weight holds. This concept explains why the correct answer states that weight increases with mass.