Motion with Constant Acceleration
Constant acceleration occurs when an object's velocity changes by an equal amount in every equal time period.
There are five frequently used formulas for motion in a straight line with constant acceleration. The formulas are given in terms of the initial velocity u, the final velocity v, the displacement (position) x, the acceleration a and the time elapsed t.
Answer:
(I) The momentum of the system is greatest at the point midway between the points X1 and X2; that is X = 20cm. This is because the velocity is maximum at this point. This point is the equilibrium point of the system.
(II) The Kinetic energy of the system is also great at the point midway between the points X1 and X2; X = 20cm
(III) The total energy is greatest at multiple points.
Explanation:
The velocity is greatest at the equilibrium position of the system because the forces responsible for the to and fro movement of the system cancel out of balance up at this point. At any point where there is no net force acting, the acceleration is zero. So at this point the velocity of the body is not changing and has a maximum value. As a result the momentum and kinetic energy of the system will be maximum here too since moment = mv and kinetic energy = ½MV²
The total energy is always the sum of the kinetic and potential energy and at various points the values of the potential and kinetic energies vary from zero to maximum but the total energy is always constant. A simple diagramatic illustration will help to understand this concept. Check the attachment below.
This question can be solved by using Pythagora's Theorem.
The resultant magnitude of the movement is "42.5 units".
The x and y components of the movement are given. We can use Pythagora's Theorem to find the resultant of these movements. Hence, applying the Pythagora's Theorem<em>:</em>

where,
d = resultant movement = ?
= movement in x direction = 32 units
= movement in y direction = 28 units
Therefore,

<u>d = 42.5 units</u>
Learn more about Pythagora's Theorem here:
brainly.com/question/343682?referrer=searchResults
The attached picture shows Pythagora's Theorem<em>.</em>
Answer:
The intensity increased by a factor of 158489
Explanation:
Given that,
Sound level = 95.0 dB
Sound level = 43.0 dB
Frequency = 10000 Hz
We need to calculate the ratio of sound intensity
Using formula of sound level

Put the value into the formula
...(I)
.....(II)
Subtracting these equations


Taking inverse log

Hence, The intensity increased by a factor of 158489
Answer:
a) The velocity of rock at 1 second, v = 9.8 m/s
b) The velocity of rock at 3 second, v = 29.4 m/s
c) The velocity of rock at 5.5 second, v = 53.9 m/s
Explanation:
Given data,
The rock is dropped from a bridge.
The initial velocity of the rock, u = 0
a) The velocity of rock at 1 second,
Using the first equation of motion
v = u + gt
v = 0 + 9.8 x 1
v = 9.8 m/s
b) The velocity of rock at 3 second,
v = u + gt
v = 0 + 9.8 x 3
v = 29.4 m/s
c) The velocity of rock at 5.5 second,
v = u + gt
v = 0 + 9.8 x 5.5
v = 53.9 m/s