Answer:
2. Same force; same impulse; Mini Cooper has greater change in velocity
4. Same momentum
6. It is distributed to the two halves
Explanation:
I will do the even problems as examples.
2. From Newton's third law, we know the bulldozer and Mini Cooper will experience equal but opposite forces. So the magnitude of the force is the same.
Impulse is force times time. Since the force is the same, and the amount of time is the same, then the impulse is the same.
Impulse is equal to change in momentum, or mass times change in velocity. Since the Mini Cooper has the smaller mass, it has the greater change in velocity.
4. Momentum is mass times velocity. The weight of the rover is different on Mars than on Earth, but the mass is still the same. Therefore, if the rover moves at the same speed, it will have the same momentum.
6. The pencil's momentum is conserved. When the pencil breaks in half, half the momentum goes to one half of the pencil, and half the momentum goes to the other half of the pencil.
Answer:
Explanation:charged particles create an electric force field. Moving charged particles create a magnetic force field. Accelerating charged particles produce changing electric and magnetic force fields which propagate as EM waves.
Answer:
For the air:
Final Velocity 160.77m/s
Final Elevation 1,317.43m
the Internal, Kinetic, and Potential Energy changes will be equal.
Explanation:
In principle we know the following:
- <u>Internal Energy:</u> is defined as the energy contained within a system (in terms of thermodynamics). It only accounts for any energy changes due to the internal system (thus any outside forces/changes are not accounted for). In S.I. is defined as where is the mass (kg), is a specific constant-volume (kJ/kg°C) and is the Temperature change in °C.
- <u>Kinetic Energy:</u> denotes the work done on an object (of given mass ) so that the object at rest, can accelerate to reach a final velocity. In S.I. is defined as where is the velocity of the object in (m/s).
- <u>Potential Energy:</u> denotes the energy occupied by an object (of given mass ) due to its position with respect to another object. In S.I. is defined as , where is the gravity constant equal to and is the elevation (meters).
<em>Note: The Internal energy is unaffected by the Kinetic and Potential Energies.</em>
<u>Given Information:</u>
- Temperature Change 0°C → 18°C ( thus °C )
- Object velocity we shall call it and , for initial and final, respectively. Here we also know that
- Object elevation we shall call it and , for initial and final, respectively. Here we also know that
∴<em> We are trying to find and of the air where , and are equal.</em>
Lets look at the change in Energy for each.
<u>Step 1: Change in Kinetic Energy=Change in Internal Energy</u>
Here we recall that and mass is the same everywhere. Thus we have:
Eqn(1)
<u>Step 2: Change in Potential Energy=Change in Internal Energy</u>
Here we recall that and mass is the same everywhere. Thus we have:
Eqn(2).
Finally by plugging the known values in Eqns (1) and (2) we obtain:
Thus we can conclude that for the air final velocity and final elevation the internal, kinetic, and potential energy changes will be equal.
Answer:
Explanation:
Given that
x= 150 ft
y= 14 ft
From the diagram
When ,x= 150 ft and y= 14 ft
z=150.74 ft
By differentiating with respect to time t
Here x is constant that is why
Now by putting the values in the above equation we get
Therefore the distance between balloon and observer increasing with 0.65 ft/s.
Answer:
B. an action-reaction force pair