Answer:
w = 4.712 10⁻³ rad / s
Explanation:
For this exercise, the time it takes for the bullet to travel the distance of 2R must be equal to the time that the hole must travel half a circle.
Let's start by calculating the time it takes for the bullet, which is going at constant speed.
v = x / t
t = x / v
t = 2R / v
t = 2 0.10 / 300
t = 6.666 10⁻⁴ s
As they ask that a single hole is formed in this time, it must be rotated half a circle, that is, θ =π rad, for which we use the angular scientific relations, where the shell has constant angular velocity
w = θ / t
w = π / 6,666 10⁻⁴
w = 4.712 10⁻³ rad / s
The speed of the spring when it is released is 3.5 m/s.
The given parameters:
- <em>Mass of the block, m = 2.5 kg</em>
- <em>Spring constant, k = 56 N/m</em>
- <em>Extension of the spring, x = 0.75 m</em>
The speed of the spring when it is released is calculated by applying the principle of conservation of energy as follows;

Thus, the speed of the spring when it is released is 3.5 m/s.
Learn more about conservation of energy here: brainly.com/question/166559
Answer:
g₂ = 11 m/s²
Explanation:
The value of free-fall acceleration on the surface of a planet is given by the following formula:

where,
g = free-fall acceleration
G = Universal Gravitational Constant
m = mass of the planet
r = radius of planet
FOR PLANET 1:
--------------------- equation (1)
FOR PLANET 2:

using equation (1):

<u>g₂ = 11 m/s²</u>
This is an example of refraction.
i hope this helps