An astronaut lands on an Earthlike planet and drops a small lead ball with a mass of 76.5 g from the top of her spaceship.The point of release is 18 m above the surface of the planet and the ball takes 2.5 s to reach the ground.The astronaut's mass on Earth is 68.5 kg.Her weight on the planet is
A)69.0 N
B)395 N
C)670 N
D)990 N
E)1.02 kN

Question

Quizplus · Accepted Answer

First, we need to calculate the acceleration due to gravity on the planet using the given information:

d = 1/2 * g * t^2, where d is the distance (18 m), g is the acceleration due to gravity and t is time (2.5 s)

Rearranging the equation, we get:

g = 2d/t^2 = 2 * 18 m / (2.5 s)^2 = 6.912 m/s^2

Next, we can use Newton's second law, F = m * a, to find the astronaut's weight on the planet:

F = m * g = 68.5 kg * 6.912 m/s^2 = 473.212 N

Therefore, the astronaut's weight on the planet is 473.212 N, which is closest to choice B, 395 N.

An Astronaut Lands on an Earthlike Planet and Drops a Small