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=(Gm_1)/((r_(^1))^2)`

now,

gravitation field on Neptune is,

`\begin{gathered} (G(300m_1))/((10r_1)^2) \\ \\ \Rightarrow(300)/(100)(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.