The <em><u>gravity on the Earth</u></em> has acceleration is smallest in magnitude
Given:
- Acceleration from 0 to 30 m/s in 2 s
- Deceleration from 30 m/s to 10 m/s in 1.5 s
- Gravity on Earth
To find:
The accelerations with the smallest magnitude
Solution:
- Acceleration from 0 to 30 m/s in 2 s
The acceleration in 2 seconds:

The magnitude of the acceleration is 15.
- Deceleration from 30 m/s to 10 m/s in 1.5 s
The deceleration in 1.5 seconds:

The magnitude of the deceleration is 13.4.
The value of the acceleration due to gravity = 
The magnitude of the acceleration is 9.8.
9.8 < 13.4 < 15
The <em><u>gravity on the Earth</u></em> has acceleration is smallest in magnitude.
Learn more about the acceleration here:
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Answer:
The difference between Newtonian and Lagrangian mechanics is summarized below:
In Newtonian mechanics the fundamental thing of conceren is force that acts on a object. According to newton's laws of motion when a force acts on a body it produces acceleration and the acceleration is then related to velocity and position of the object. The basic equation of Newtonian mechanics are

where
'F' is the vector sum of all the forces that act on the object.
'a' is the acceleration that is produced in the body as a result of the forces.
The acceleration is related to the position of the body as

Thus we can know the position of any object if we know the acceleration of the object and the boundary condition of the object.
However in Lagrangian mechanics the basic parameter upon which the motion of the object is defined is the a mathematical definition of position and change in position, thus an object can take an arbitrary path while travelling between 2 positions but only that path is physically possible in which the change in potential energy is minimum or takes least amount of work to be done this is known as principle of least work.
Mathematically

and we try to minimize the work that needs to be done thus giving us the path taken by the particle.
The equations of motions can be derived from this basic premise of Lagrangian mechanics.
Answer:
Zero
Explanation:
The work done by a force on an object is given by:

where
F is the magnitude of the force
d is the displacement of the object
is the angle between the direction of the force and the displacement of the object
In this situation, the force is the force of gravity acting on the satellite. This force always points towards the centre of the trajectory, so it is always perpendicular to the direction of motion of the satellite (since the orbit is circular), so
and
. Therefore, the work done by gravity is also zero.
Answer:
<em>The thermal energy dissipated in A would be twice that in B</em>
Explanation:
Resistor B (RB)= R
Resistor A (RA)= 2 R
When they are connected in series the equivalent Resistance in the circuit would be;
Equivalent resistance = RA +RB = R + 2 R = 3 R;
From ohms law I = V/R
I = V/3 R
Now the thermal energy is the power dissipated by the circuit and can be obtained thus;
P =
Then,

Therefore Pa : Pb = 2: 1, this means that the thermal energy dissipated in A would be twice that in B
Yes, it does. Acceleration is defined as the rate of change of velocity. Velocity is the rate of change of position with a given direction i.e. speed with direction.So even though the speed of the turning car is constant the velocity is not. This means that the velocity is changing, and the rate of change of velocity is called acceleration. Hence, the car is accelerating.