Denser materials tend to be closer to earths center due to their mass gravity is shown by the equation mg
Which stands for mass x gravity.
Answer and Explanation:
1. Evaluate the function x(t) at t=0.5

2. The period of motion T can be calculated as:

Where:

So:

3. The angular frequency can be expressed as:

Solving for k:

4. Find the derivate of x(t):

Now, the sine function reach its maximum value at π/2 so:

Solving for t:

Evaluating v(t) for 0.6603981634:

So the maximum speed of the block is:
In the negative direction of x-axis
5. The force is given by:

The cosine function reach its maximum value at 2π so:

Solving for t:

Evaluating x(t) for 3.016592654:

Therefore the the maximum force on the block is:

Stars are not spread uniformly across the universe but are normally grouped into galaxies along with interstellar gas and dust. A typical galaxy contains hundreds of billions of stars and there are more than 2 trillion galaxies
Neon and helium are both gases that fall under the Noble Gases section in the periodic table of elements.
Hope this helped to answer your question. :D
Answer:
The final speed of the train and Bambi after collision is 7.44 m/s
Explanation:
Given;
mass of the train, m₁ = 1000kg
mass of Bambi, m₂ = 75kg
initial speed of the train, u₁ = 8 m/s
initial speed of Bambi, u₂ = 0 m/s
If Bambi gets stuck to the front of the train, then the collision is inelastic.
m₁u₁ + m₂u₂ = v(m₁ + m₂)
where;
v is the final speed of the train and Bambi after collision
Substitute the given values and solve for v
1000 x 8 + 75 x 0 = v (1000 + 75)
8000 = v (1075)
v = 8000/1075
v = 7.44 m/s
Therefore, the final speed of the train and Bambi after collision is 7.44 m/s