Answer:
=6.5%
Explanation:
Mass of the ball:
]
Initial velocity of the ball: 
final velocity of the ball:
which is -30/100 of
=
Mass of the bottle: 
Initial velocity of the bottle: 
final velocity of the bottle:
is unknown (to find)
<em>by using conservation momentum, which stated that the initial momentum is equal to the final momentum.</em>
<em />
<em />
<em>so since the bottle is at rest firstly, therefore </em>
<em />
<em />
<em />
<em />
<em> </em><em>equation 1</em>
so now substitute
into equation 1

<em />
<em />
<em>collect the like terms</em>


divide both side by 

Now substitute

6.5%
<em />
Answer:
D. 2^(3/2)
Explanation:
Given that
T² = A³
Let the mean distance between the sun and planet Y be x
Therefore,
T(Y)² = x³
T(Y) = x^(3/2)
Let the mean distance between the sun and planet X be x/2
Therefore,
T(Y)² = (x/2)³
T(Y) = (x/2)^(3/2)
The factor of increase from planet X to planet Y is:
T(Y) / T(X) = x^(3/2) / (x/2)^(3/2)
T(Y) / T(X) = (2)^(3/2)
Answer:
Spring constant, k = 0.3 N/m
Explanation:
It is given that,
Force acting on DNA molecule, 
The molecule got stretched by 5 nm, 
Let k is the spring constant of that DNA molecule. It can be calculated using the Hooke's law. It says that the force acting on the spring is directly proportional to the distance as :



k = 0.3 N/m
So, the spring constant of the DNA molecule is 0.3 N/m. Hence, this is the required solution.
Impulse=force*time
impluse=120N*2.0s
impluse=240 Ns
Answer:
2,352 Joules
Explanation:
At the ground, the barbell has a classical mechanical energy value of zero. There is no classical kinetic or potential energy for the barbell. The moment the man starts to lift the barbell, he does work on the barbell and transfers kinetic energy to it due to the motion. At its maximum height where the man lifts the barbell to a stop, the kinetic energy is zero because it transformed into gravitational potential energy stored in the gravitational field. Our reference point for potential was defined to be zero at the floor, therefore we can say that the gravitational potential energy at 2 meters is:
