Answer:
The magnitude of the force the garbage exerts on the floor of the service elevator is 12 N
Explanation:
Given;
mass of the garbage, m = 10.0 kg
acceleration of the elevator, a = 1.2 m/s²
The magnitude of the force the garbage exerts on the floor of the service elevator is given by;
F = ma
F = 10 x 1.2
F = 12 N
Therefore, the magnitude of the force the garbage exerts on the floor of the service elevator is 12 N
The force of friction is equal to the pushing force, and the acceleration is zero
Explanation:
In this problem, we are pushing a piano along the floor, in the horizontal direction.
There are 2 forces acting in the horizontal direction on the piano:
- The applied force,
, acting forward - The force of friction,
, acting backward
Therefore, the net force in the horizontal direction is

According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:

Combining the two equations,

However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:

And so,

which means that the force of friction is equal to the applied force.
Learn more about Newton's second law:
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When frequency increases, the wavelength halves.
Answer:
1752.14 tonnes per year.
Explanation:
To solve this exercise it is necessary to apply the concepts related to power consumption and power production.
By conservation of energy we know that:

Where,
Production of Power
Consumption of power
Where the production of power would be,

Where,
m = Total mass required
Energy per Kilogram
Efficiency
The problem gives us the aforementioned values under a production efficiency of 45%, that is,


Replacing the values we have,

Solving for m,


We have the mass in kilograms and the time in seconds, we need to transform this to tons per year, then,

tonnes per year.
Answer:
the speed at which something moves in a particular direction
Explanation:
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. ... Velocity is a physical vector quantity; both magnitude and direction are needed to define it.