physcis problem?

Question

The value of g on the moon is 1/6 of its value on Earth.
a) Will a ball dropped from the same height by an astronaut hit the ground with a smaller or larger speed than on Earth?
b) Will the ball take more or less time to fall?

Answer 1

a)- Smaller
b)- less time

Answer 2

a)

v^2 = vo^2 + 2adY (dY is vertical distance it drops)

If you just drop it , then the initial velocity (vo) = 0. Then:

v^2 = 2adY

As you can see from the formula, since the acceleration (a) is in a negative direction, if it's magnitude is decreased by a factor of 6, the ball will hit the ground with a smaller speed than on the earth.

b)

y = yo + voy*t - (1/2)a*t^2 (negative sign is there because the acceleration is in the negative direction)

Again, initial velocity, when dropped, will be 0. Therefore:

y = yo + - (1/2)a*t^2

t = (-2(y - yo) / a)^(1/2)

As you can see from the formula, when the acceleration (a, or g is smaller, the time (t) will be larger. Therefore, a smaller acceleration would result in the ball taking more time to fall.

Here's another explanation:

You know that g is equal to the gravitational acceleration. Therefore, if g is 6 times smaller on the moon than on the earth, that means that it's vertical acceleration is smaller on the moon than on the earth. This means that it will take longer for it to fall on the moon than it would on the earth.

Answer 3

a) Smaller. The gravity of the moon would be 1/6x10 m/s2 (meters per second square), the acceleration therefore is smaller, hence speed is smaller.
b) The ball will take a longer time since it's going slower (6 times longer)
Hope this helps :)

Answer 4

W/F=S provides an inverse relation between F and S offering W is persevering with. notice: to maintain W consistent and use a bigger stress, you will possibly could prepare the stress for a shorter time, so the area moved might additionally be shorter. right here is an occasion calculation to tutor precisely what happens. think of you're doing paintings pushing a 1kg mass horizontally from relax with out friction, and you will do 10J of paintings (meaning its kinetic means will become 10J). W = 10J, so S = 10/F assume we use a 1N stress: F = 1N so S= 10/F = 10/a million = 10m. F=ma so acceleration = F/m = a million/a million = 1m/s² S = ½at² 10 = ½ x a million x t² t = ?20 = 4.47s So it take 4.47s to do the 10J of paintings. Now furnish the comparable paintings making use of a bigger stress: assume F=10N then S = 10/F = 10/10 = 1m F = ma so acceleration = F/m = 10/a million = 10m/s² S = ½at² a million = ½ x 10 x t² t = ?2 = a million.41s So it takes a lots shorter time to do the 10J of paintings.

Answer 5

it will be smaller speed because ther is less force acting upon it, gravity. it will take less time too fall because of the same reason. the only way to make it go faster is by putting another force on it. like issac newton said for every action ther is an equal and oppsoite reaction but those three laws don't work every. they work on earth but not every were else.

Answer 6

You first have to evaluate, g on earth is -9.98m/s^2
and compare it to lunar gravity: 1/6*9.98m/s^2=1.66m/s^2

Then apply the formulae: a=d/t^2
using 1/6*9.98
a) Smaller
b) You will see your ball takes 6x longer to reach the ground on the moon.

Answer 7

a) smaller speed ,since the gravitational force is less
b)it takes more time ,since the speed is relatively less

Answer 8

a) smaller speed than on earth (ever seen the film of astronauts walking on the moon? they were moving really slow because the effect of gravity was much less powerful)
b) more time to fall (duh!, its moving slower)
it really helps to think of these problems visually

Answer 9

a) smaller speed
b)more time

Answer 10

a) less acceleration therefore less speed.
b) less speed therefore more time.