Answer:
5.98 m
Explanation:

= 11.15*4.6²/(4π²) = 5.98 m
Answer:
(a). The amplitude of the motion is 0.926 m.
(b). The block’s maximum acceleration is 182.31 m/s².
(c). The maximum force the spring exerts on the block is 291.69 N.
Explanation:
Given that,
Mass of block =1.60 kg
Force constant = 315 N/m
Speed = 13.0 m/s
(a). We need to calculate the amplitude of the motion
Using conservation of energy


Put the value into the relation



(b). We need to calculate the block’s maximum acceleration
Using formula of acceleration


Put the value into the formula


(c). We need to calculate the maximum force the spring exerts on the block
Using formula of force

Put the value into the formula


Hence, (a). The amplitude of the motion is 0.926 m.
(b). The block’s maximum acceleration is 182.31 m/s².
(c). The maximum force the spring exerts on the block is 291.69 N.
Gravity..? I don't know, but you need to clear up your question a bit. I'm sure it's gravity though.
The energy from the sun is what sustains the solar system. But this is only a small part of the universe. So it will be inaccurate to say that the source of all energy in the universe is the sun.
<span>The universe is made up of several other galaxies including our own milky way. But looking at these components of the universe, they are made up of stars. Considering that all other stars are similar to our sun, which by the way is also a star, then we can put it that their collective energies is what constitutes the energy source for the universe. </span>
<span>But here we have only considered what we know about the universe, since man has been able to explore only a minute fraction of the universe, it wont be fair to argue that this is absolute. There may be other energy sources out there that have not yet been discovered, but for now, the idea behind the summation of celestial energies should suffice. </span>
Answer:
The gallon of milk is placed at a distance of 0.641 meters.
Explanation:
We have,
Mass of two 0.6 kg cartons of cereal is 1.2 kg
Length of the basket, l = 0.77 m
Center of the basket is 0.385 m
Mass of the half gallon of milk is 1.8 kg
Total weight in the basket is 1.2 + 1.8 = 3 kg
We need to find the position of the gallon of milk so that the center of mass (COM) of your groceries is at the center of the basket.
So,
(3 × 0.385) = (1.2 × 0) + (1.8 × x)
1.155 = 1.8 x
x = 0.641 meters
So, the gallon of milk is placed at a distance of 0.641 meters.