Question

calculate the weight of an astronaut of mass 66kg on the surface of the earth and on the surface of the moon the acceleration due to gravity on the surface of the moon is 16th times the acceleration due to gravity on a surface of the earth
​

Answer 1

Answer:

11 kg

Step-by-step explanation:

66*1/6 = 11 kg

Answer 2

Given:

Mass of astronaut $=66kg$

Value of $g$ on moon $=\frac{1}{6}$ times that on earth.

To find:

The weight of the astronaut on earth and moon.

Solution:

We have been given the mass of astronaut on the earth as $m=66kg$, Since, the mass is a constant quantity and does not vary with height or depth.

Now, we know,

The value of $g$ on the surface of the earth $=9.8$ $m/s^{2}$

Hence, The weight of the astronaut on the earth is given by,

$W=mg_{(earth)}$

$W=66(9.8)$

$W=$ $646.8N$

Therefore, the weight of the astronaut on the surface of earth is 646.8 N.

Step 2

According to the question, the value of acceleration due to gravity on moon is $\frac{1}{6}$ times that on earth.

$g_{(moon)}=(\frac{1}{6})g_{(earth)}$

$g_{(moon)}=\frac{1}{6}(9.8)$

$g_{(moon)} =1.634$ $m/s^{2}$

Hence,

The weight of the astronaut on the surface of moon is,

$W=mg_{(moon)}$

$W=66(1.634)$

$W=107.85$ $N$

Final answer:

Hence,

1. The weight of the astronaut on the surface of earth is 646.8 N.
2. The weight of the astronaut on the surface of the moon is 107.85 N.