Question

You have just landed on planet x. you take out a 250-g ball, release it from rest from a height of 12.0 m, and measure that it takes 2.4 s to reach the ground. you can ignore any force on the ball from the atmosphere of the planet. how much does the 250-g ball weigh on the surface of planet x? 104.16667 incorrect: your answer is incorrect. n

Answer 1

For the first step, since we know the time it takes to fall 12 meters,
we can calculate the acceleration of gravity on Planet-X.

Falling distance = (1/2) (gravity) (time²)

(12 m) = (1/2) (gravity) (2.4 seconds)²

= (1/2 gravity) (5.76 seconds²)

Divide each side by (5.76 s²) :

1/2 gravity = (12 m) / (5.76 s²)

gravity = (24 m) / (5.76 s²)

Gravity = 4.17 m/s² (42.5% of Earth gravity)

Now that we know the acceleration of gravity on Planet-X,
we can calculate the weight of the ball, (or of any mass).

Weight of any mass = (mass) x (gravity)

For the ball, Weight = (0.250 kg) x (4.17 m/s²)

= 1.042 Newton

(The same 250-gram ball would weigh 2.45 newtons on Earth.)

Answer 2

I believe your answer is off by a couple of decimal points. The answer is approximately 1.041 N