Question

3 multiple choice questions please include a bit of reasoning behind the answer

Answer 1

1.6) given

mass of car= 2m

mass of toy trailer = m

we know,

the formula of force is mass × acceleration

Result,

T=ma

1.7) let, the mass of mercury is m₁

the radius of mercury is r₁

given,

the mass of Neptune is 300m₁

the radius of Neptune is 10r₁

now we know that formula for the gravitation field is Gm/r²

where m is mass, G is gravitational constant, and r is the radius of the planet.

it is also given that the gravitation field on mercury is g

so,

$g=\frac{Gm_1}{(r_{^1})^2}$

now,

gravitation field on Neptune is,

$\begin{gathered} \frac{G(300m_1)}{(10r_1)^2} \\ \\ \Rightarrow\frac{300}{100}\frac{Gm_1}{(r_1^)^2} \\ \\ \Rightarrow3\text{ g} \end{gathered}$

result,

3g

1.8)

we know,

the gravity on the moon is 1/6th that of Earth

Result,

So option A is correct.