An object has a mass of 12\text{ kg} on Earth, where the acceleration due to gravity is 10… — JAMB UTME

An object has a mass of $12\text{ kg}$ on Earth, where the acceleration due to gravity is $10\text{ m s}^{-2}$ . What are the mass and weight of the object on the Moon, where the acceleration due to gravity is $1.6\text{ m s}^{-2}$ ?

$12\text{ kg}$ and $19.2\text{ N}$ Answer
B
$1.92\text{ kg}$ and $19.2\text{ N}$
C
$12\text{ kg}$ and $120\text{ N}$
D
$1.92\text{ kg}$ and $120\text{ N}$

Answer

The mass on the Moon is

12\text{ kg}

and the weight on the Moon is

19.2\text{ N}

Mass is constant everywhere in the universe, so the object maintains a mass of

12\text{ kg}

on the Moon. Weight is the gravitational force exerted on the object, given by

W = mg

. On the Moon,

W = 12 \cdot 1.6 = 19.2\text{ N}

. Thus, the option specifying

12\text{ kg}

and

19.2\text{ N}

is correct.

Step-by-Step Solution

Determine the mass of the object on the Moon.

Mass

= 12\text{ kg}

Mass is a scalar physical quantity representing the quantity of matter in a body; it is constant and independent of location or gravitational field.

Calculate the weight of the object on the Moon using

W = m \cdot g_{\text{moon}}

W = 12\text{ kg} \times 1.6\text{ m s}^{-2} = 19.2\text{ N}

Weight is the force of gravitational attraction acting on a mass and varies directly with local gravitational field strength.

Key Concept

Mass is an intrinsic property that remains constant across different locations, whereas weight is a force that depends on local gravitational acceleration (

W = mg

Estimated Time:45s

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Key Concept

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