Question

Sun 274.13, Mercury 3.59, Venus 8.87 ,Moon 1.62 , Mars 3.77, Jupiter 25.95 , Saturn 11.08 ,Uranus 10.67 , Neptune 14.07 ,Pluto 0.42

Part 1: You are on a mystery planet, what you know is that from a height of 10.0 meters, a dropped ball takes 0.88 seconds to hit the ground.
a. List givens
b. Show your calculation for g
c. Identify your mystery planet using the chart above.
d. Determine the final velocity of the ball before striking the ground.

use these forumlas
d=vot +1/2 at^2
vf^2=vo^2 + 2ad
a+(vf -vo) /t

Answer 1

a)

The given quantities are:

`d = 10.0 m` is the vertical distance covered by the ball

`t=0.88 s` is the time it takes for the ball to reach the ground

`v_0 = 0` is the initial velocity of the ball

`a=g` is the acceleration of gravity

`v` is the final velocity of the ball

b)
`25.82 m/s^2`

In order to find the acceleration of gravity, we use the following equation:

`d=v_0 t + (1)/(2)at^2`

Where

`v_0 =0`

t = 0.88 s

d = 10.0 m

Solving for a,

`a=(2d)/(t)=(2(10.0))/(0.88^2)=25.82 m/s^2`

c) Jupiter

The value which is closer to the value calculated is the value for Jupiter, which is 25.95, so the planet must be Jupiter.

d) 22.7 m/s

We can find the final velocity of the ball before striking the ground by using the equation

`v_f^2 = v_0^2 +2ad`

where

`v_0 =0`

`a=25.82 m/s^2`

d = 10.0 m

Solving for v,

`v=√(v_0^2+2ad)=√(0+2(25.82)(10.0))=22.7 m/s`