Question

A spacecraft is going from the earth to the moon. Find a place on Earth where its gravitational force is zero

Earth mass = 7.0 * 10 ^ 24 kg ..
Moon mass = 8.4 * 10 ^ 22 kg
Distance between the center of the earth and the center of the moon = 3.6 * 10 ^ 6​

Answer 1

Answer:

Given :-

Mass of the body = 5 kg

Force by the body = 5 N

Time taken by the body = 10 sec

Initial velocity of the body = 0 m/s

To Find :-

The final velocity of the body.

Analysis :-

Here we are given with the mass, force, time and initial velocity of the body.

Firstly find the acceleration of the body using it's respective formula.

Using the first equation of motion substitute the values from the question and find the final velocity accordingly.

Solution :-

We know that,

u = Initial velocity

f = Force

a = Acceleration

m = Mass

u = Final velocity

Using the formula,

\underline{\boxed{\sf Force=Mass \times Acceleration}}

Force=Mass×Acceleration

Given that,

Force (f) = 5 N

Mass (m) = 5 kg

Substituting their values,

⇒ f = ma

⇒ 5 = 5 × a

⇒ a = f/m

⇒ a = 5/5

⇒ a = 1 m/s

Using the formula,

\underline{\boxed{\sf First \ equation \ of \ motion=v=u+at}}

First equation of motion=v=u+at

Given that,

Initial velocity (u) = 0 m/s

Acceleration (a) = 1 m/s

Time (t) = 10 sec

Substituting their values,

⇒ v = 0 + 1 × 10

⇒ v = 10 m/s

Therefore, the final velocity of the body is 10 m/s.