Answer:
x_{cm} = 4.644 10⁶ m
Explanation:
The center of mass is given by the equation
= 1 /
∑
Where M_{total} is the total masses of the system, is the distance between the particles and
is the masses of each body
Let's apply this equation to our problem
M = Me + m
M = 5.98 10²⁴ + 7.36 10²²
M = 605.36 10²² kg
Let's locate a reference system located in the center of the Earth
Let's calculate
x_{cm} = 1 / 605.36 10²² [Me 0 + 7.36 10²² 3.82 10⁸]
x_{cm} = 4.644 10⁶ m
Answer:
Explanation:
Given:
Here as given in the question the bullet penetrates the target by the given displacement of the bullet into it. During this process it faces deceleration and hence it comes to rest.
Now using the equation of motion:
where:
acceleration of the bullet
<u>Now the force of resistance offered by the target in stopping it:</u>
Answer:
We know that the acceleration of the particle is defined as
Since it is given that
Now by definition of velocity we have
Integrating on both sides we get
Applying values we get
To find the constant we note that at t=1 the particle is at x=12 Thus applying values in the above equation we get