Answer:
(E) It would increase by a factor of 2.
Explanation:
Maximum speed (v) is given by:

Where ω is the angular frequency and A is the amplitude.
The angular frequency of a spring-mass system is given by:

Where k is the spring constant and m is the mass of the block attached to the spring.
Therefore, maximum speed can be written as:

Since mass and amplitude are constant values, a relationship between maximum velocity and spring constant can be defined as:

There is a linear relationship between maximum velocity and the square root of the spring constant. Therefore if the spring constant is increased by a factor of 4, the velocity is increased by a factor of the square root of 4, which is 2.
The answer is (E) It would increase by a factor of 2.
Answer:

Explanation:
According to Faraday-Newmann-Lenz, the induced emf in the loop is given by:
(1)
where
is the rate of variation of the magnetic flux through the loop.
We know that the magnetic flux through the loop is given by

where B is the magnetic field and A is the area of the loop. Since the magnetic field is constant, we can write the variation of flux as

So eq.(1) becomes

and the problem gives us:
is the magnetic field
is the rate at which the area changes
Substituting into the equation, we find

<h3>Answer: 2 seconds</h3>
This problem is equivalent to kicking the ball 8 m/s and it rolls to a point 16 meters away, and everything is on a flat ground (with no cliff). This is because the horizontal component of the velocity does not get affected by how tall the cliff is and the force of gravity. Note how the height of the cliff isn't even mentioned. So that's a clue that we can ignore it.
If x is the number of seconds, then 8x is the distance in meters it travels. So we have 8x = 16 solve to x = 2. The ball travels for 2 seconds before reaching its target.
Answer:
The Stanford Linear Accelerator Center (SLAC) is a nationwide basic laboratory dedicated to empirical and theoretical work in elementary particle physics
Explanation:
Stanford Linear Accelerator Center which termed as SLAC is a nationwide basic laboratory dedicated to empirical and theoretical work in particle physics, the introduction of new strategies in strong-energy propulsion systems and in elementary particle sensors, and a comprehensive research program by initializing synchrotron radiation