Question

The acceleration due to gravity on Mars is twice that on the Moon. If you hit a baseball on the Moon with the same effort (and therefore same speed and angle) as on Mars, how far yet wered rked out ofwould the ball would travel on the Moon compared to on Mars? Neglect air resistance on Mars. Flag estion Select one: a. twice as far as on Mars b. four times as far as on Mars c. the same distance as on Mars d, half as far as

Answer 1

So height on moon = 2 × height on mars

So option (a) will be correct answer

Step-by-step explanation:

We have given the
`g_(mars)=2g_(moon)`

`g_1=2g_2`

We know that energy of any object is always conserved

Let the object is falling downward, when the object heats the ground its kinetic energy will be changed in potential energy

Let
`v_1\ and\ g_1\ for\ mars\ and\ v_2\ and\ g_2\ for\ moon`

So
`(1)/(2)mv_1^2=mg_1h_1`

`v_1^2=2g_1h_1`

For moon
`v_2^2=2g_2h_2`

We have given that speed is same on both mars and moon

So
`v_1=v_2`

`v_1^2=v_2^2`

`2g_1h_1=2g_2h_2`

`2* 2g_2h_1=2g_2h_2`

`h_2=2h_1`

So height on moon = 2 × height on mars

So option (a) will be correct answer