Question

A certain object weight 300N at the earth's surface Determine the mass of the object in kg and it's weight in Newton when located on a planet with an acceleration of gravity equal to 4.0ft/s²​

Answer 1

GIVEN THAT :

• Weight on Earth = 300 N
• Value of g on the planet = 4 ft/s²

SO Convert it into m/s:

• 4 ft/s² × (1 m / 3.3 ft) = 13.2 m/s²

Mass of the object:

$\bf \green{Weight = Mass × g }$

• Now replace the given value

$\bf300 = Mass \times 9.8  [g = 9.8 m/s²]$

$\bf{Mass = 300/9.8}$

$\bf{Mass = 30.6 \: kg}$

$\bf \red{NOW}$

• Weight on the other Planet:

$\bf{Weight = Mass \times g} \\ \\ \bf{g \: means \: gravitational \: force \: present \: on \: that \: planet}$

$\bf{Weight = 30.6 \: kg \times 13.2 \: m/s²}$

$\bf \boxed{Weight = 403.92 N}$

Answer 2

Weight of the object: $\\ 300 N$

Acceleration due to gravity on the earth surface( g): $\\ 32 \frac{ft}{s^{2} } = 10\frac{ft}{s^{2} }$

Weight= $\\ m \times g$

( where m= mass of the object and g= Acceleration due to gravity )

The mass of the object:

$\\ =\frac{300}{10} \\= 30 kg$

On another planet

The acceleration due to gravity(g') = $\\ 4 \frac{ft}{s{2} } = 1.2\frac{ft}{s^{2} }$

The mass of the object would remain the same.

The weight on the other planet = $\\ m \times g'$

$\\= 30\times1.2\\=36 N$

Hence, the weight on the other planet is 36 N