Explanation:
Let 
is the frequency of oscillation of a block that undergoes simple harmonic motion. The frequency of oscillation is given by :
...............(1)
Where
k is the spring constant of the spring
m is the mass of the block
It is clear from equation (1) that the frequency of the oscillation depends on the spring constant and the mass of the block. So, on increasing the spring constant, the block oscillate with a greater frequency.
Answer:
The speed must a ball be thrown vertically from ground level to rise to a maximum height is 28.35 m/s.
Explanation:
Given;
maximum vertical height of the throw, H = 41 m
Apply the following kinematic equation;
V² = U² + 2gH
where;
V is the final speed with which the ball will rise to a maximum height
U is the initial speed of the ball = 0
g is acceleration due to gravity = 0
V² = U² + 2gH
V² = 0² + 2gH
V² = 2gH
V = √2gH
V = √(2 x 9.8 x 41)
V = 28.35 m/s
Therefore, the speed must a ball be thrown vertically from ground level to rise to a maximum height is 28.35 m/s.
Answer:
The speed of the other piece of the object is 13/4*v0, going to the right.
Explanation:
Assuming that no external forces acting during the explosion (as the time during which it happens is considered infinitesimal), total momentum must be conserved , same as it happens with the total mass, assuming that v₀ is much smaller than c (speed of light), so no conversion of mass into energy is done.
So, based on the information provided, we can write the following expression, assuming the positive direction to be the one to the right:
m*v₀ = -3/5*m*(v₀/2) + 2/5*m*vₓ
Solving for vₓ, we have:
vₓ = 13/4*v₀, to the right, as the value obtained is positive.
Answer: 
Explanation:
According to the conservation of linear momentum principle, the initial momentum 
(before the collision) must be equal to the final momentum 
(after the collision):
(1)
In addition, the initial momentum is:
(2)
Where:
is the mass of the comet
is the mass of the asteroid
is the velocity of the comet, which is positive
is the velocity of the asteroid, since it is at rest
And the final momentum is:
(3)
Where:
is the final velocity
Then :
(4)
Isolating :
(5)
Finally:
This is the final velocity, which is also in the positive direction.
The answer is allowed people to store food for a few days in homes.
