$($a$)$

What is escape velocity $($in m$/$s$)$ from Earth, given the planet's mass $(5\mathrm{.}971024$ kg$)$ and radius $(6\mathrm{.}38106$ m$)?$

m$/$s

$($b$)$

Multiply this by $3,600($seconds per hour$),$ and then divide it by $1,000($meters per kilometer$),$ to obtain the number of kilometers covered in one hour by an object with this speed.

km$/$h

$($c$)$

Suppose that the Earth's mass is doubled, but its radius remains unchanged. How will this change the escape velocity?

The escape velocity will be doubled.The escape velocity will increase by about $40$ percent $($i$.$e$.,$ it will be multiplied by

$2$

$).$

$$ The escape velocity will be halved.The escape velocity will decrease by about $30$ percent $($i$.$e$.,$ it will be divided by

$2$

$).$

The escape velocity will be unchanged.

$($d$)$

Suppose that the Earth's radius is doubled, but its mass remains unchanged $($i$.$e$.$

R $=1\mathrm{.}28107$ m

and

M $=5\mathrm{.}971024$ kg$).$

How will the escape velocity be affected?

The escape velocity will be doubled.The escape velocity will increase by about $40$ percent $($i$.$e$.,$ it will be multiplied by

$2$

$).$

$$ The escape velocity will be halved.The escape velocity will decrease by about $30$ percent $($i$.$e$.,$ it will be divided by

$2$

$).$

The escape velocity will be unchanged.

$($e$)$

Suppose that the Earth's mass and radius are both doubled $($i$.$e$.$

R $=1\mathrm{.}28107$ m

and

M $=1\mathrm{.}191025$ kg$).$

How will the escape velocity be affected?

The escape velocity will be doubled.The escape velocity will increase by about $40$ percent $($i$.$e$.,$ it will be multiplied by

$2$

$).$

$$ The escape velocity will be halved.The escape velocity will decrease by about $30$ percent $($i$.$e$.,$ it will be divided by

$2$

$).$

The escape velocity will be unchanged.