A bag of sugar has a mass of 7.86 kg. a. What is its weight in newtons on the moon, where the acceleration due to gravity is one-sixth that on earth? b. What is its weight on Jupiter, where the acceleration due to gravity is 2.64 times that on earth?

Question

A bag of sugar has a mass of 7.86 kg. a. What is its weight in newtons on the moon, where the acceleration due to gravity is one-sixth that on earth? b. What is its weight on Jupiter, where the acceleration due to gravity is 2.64 times that on earth?

2 Answers

Impact of this question

13983 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-08T13:31:24

The bag weighs 77.0 N on Earth, 12.84 N on the Moon and 203.35 N on Jupiter.

Explanation:

Whenever we are asked to determine the weight of an object based on its mass, the relation is

$W = m \times g$ $W=mxxg$

where $W$ $W$ is the weight and $g$ $g$ is the acceleration due to gravity in the location where the mass $m$ $m$ is found.

So, if $g$ $g$ on the moon is $\frac{1}{6}$ $1/6$ of the value of $g$ $g$ on Earth (which is $9.8 \frac{m}{s^{2}}$ $9.8m/s^2$ , the weight on the Moon is

$W = (\frac{1}{6}) (9.8) (7.86) = 12.84 N$ $W= (1/6)(9.8)(7.86) = 12.84 N$

and on Jupiter

$W = (2.64) (7.86) (9.8) = 203.35 N$ $W= (2.64)(7.86)(9.8) = 203.35 N$

By the way, it is also common to call $g$ $g$ the strength of the gravitational field in a location. Its units are N/kg (notice how this ultimately simplifies to $m / s^{2}$ $m"/"s^2$ ), which ties in nicely with the question here.

Answer 2 · 2017-11-08T13:34:43

$W_{m} = m g_{m} = 7.86 \cdot 1.635 \approx 12.85 N$ $W_m=mg_m=7.86*1.635~~12.85N$
$W_{j} = m g_{j} = 7.86 \cdot 25.8984 \approx 203.56 N$ $W_j=mg_j=7.86*25.8984~~203.56N$

Explanation:

The equation for weight is $W = m g$ $W=mg$ , where:

$W$ $W$ = Weight ( $N$ $N$ )
$m$ $m$ = mass ( $k g$ $kg$ )
$g$ $g$ = acceleration due to gravity ( $m s^{- 2}$ $ms^(-2)$ )

On Earth, $g = 9.81 m s^{- 2}$ $g=9.81ms^(-2)$

For the Moon, $g_{m} = \frac{g}{6} = 1.635 m s^{- 2}$ $g_m=g/6=1.635ms^(-2)$

For Jupiter, $g_{j} = 2.64 g = 25.8984 m s^{- 2}$ $g_j=2.64g=25.8984ms^(-2)$

$W_{m} = m g_{m} = 7.86 \cdot 1.635 \approx 12.85 N$ $W_m=mg_m=7.86*1.635~~12.85N$
$W_{j} = m g_{j} = 7.86 \cdot 25.8984 \approx 203.56 N$ $W_j=mg_j=7.86*25.8984~~203.56N$

Science

Math

Humanities

... and beyond

A bag of sugar has a mass of 7.86 kg. a. What is its weight in newtons on the moon, where the acceleration due to gravity is one-sixth that on earth? b. What is its weight on Jupiter, where the acceleration due to gravity is 2.64 times that on earth?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question