Physics Simulator Exam Area of ​​Engineering and Sciences Physicist Mathematics IPN 2024 Higher Level

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The vectors are based on the Pythagorean theorem and therefore a 90° triangle must be made. Afterwards, it is necessary to associate the parts of the vector with the trigonometric functions with the Pythagorean theorem

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If we have a free body diagram with the center of coordinates in the center of the cable, the tensions on both sides of the cable are identical, as well as the angles are equal. The tension has a component on both the x-axis and the y-axis, therefore we are only interested in the direction on the y-axis like this:

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Speed ​​refers to the distance an object travels in a time interval regardless of direction.

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The distance traveled and the average speed are known, so the relationship is as follows:

Hence:

From the first part of the route we have:

In the second part of the tour we will have:

The total trip time is:

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Using the free fall equations to find the time:

The time is equal to:

For the speed, the following equation is used

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The time interval from when the bullet leaves the gun until it reaches the highest point is considered. To determine the maximum height, the position of the bullet is calculated when its velocity is equal to zero (v = 0 at the highest point). Gravity is 9.81 m/s2. From the following equation, the maximum height reached by the projectile is determined:

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The unit of force is N (newton).
The unit of volume is m3.
The unit of speed is m/s.
The unit of acceleration is m/s2.

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According to Newton's second Law we have that 𝐹=𝑚 𝑎, where:

m= 1.0 kg

a= 0.12 m/s2

F= (1.0 kg)(0.12 m/s2)

F= 0.12N

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If the mass and acceleration of the car are known, Newton's second law applies () to determine the force.

The mass of the car is given in the problem, but it is necessary to calculate the acceleration a. Since the acceleration is constant, kinematic equations can be used.

The motion is along the x-axis and the initial velocity is given the final speed v=0 and the distance traveled  . From the constant acceleration equation, we have

In such a way that

So the average net force is

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Newton's Third Law states that for every action, there is an equal and opposite reaction.

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When an object slides along a rough surface, the force of friction acts in the opposite direction to the speed of the object.

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According to the law of universal gravitation, we have

Where F=the magnitude of the gravitational force, m1 = mass of person 1, m2 = mass of the
person 2, r= distance between the two people and G = is the universal constant.

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The law of universal gravitation indicates that all objects attract each other with a force directly proportional to the product of their masses and inversely proportional to the square of the distance separating their centers.

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If we use the symbol M for the mass of the two spheres (M = 20,000 kg), from the law of universal gravitation we have:

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Acceleration is the variation in speed per unit of time and in the SI it is expressed in m/s2.
Speed ​​is the distance and time in which an object travels and is expressed in m/s.
Imposed is the variation of momentum and is expressed in kg.m/s
Force is the magnitude that modifies the momentum and is expressed in m.kg/s2

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To calculate the energy consumption in joules it is necessary

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The correct formulas are:

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Kinetic energy is the energy possessed by all moving bodies.
Thermal energy is the energy that is generated by the movement of the molecules that matter has.
Electrical energy is the energy created by the movement of electrons through a conductor.
Mechanical energy is the energy obtained by adding the kinetic energy and the potential energy that a body has.

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Evaporation is a physical process that consists of the change from the liquid state of an element to the gaseous state after having acquired enough energy to overcome surface tension.

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Solar energy is generated from the light emitted by the sun and intercepted by the Earth's surface. One of its most important applications is the use of it through photovoltaic cells used to generate electricity.
Wind energy is energy obtained from the force of the wind thanks to the kinetic energy generated by air currents. The most common of its applications is taking advantage of the movement of air through blades.
Hydraulic energy is that produced by the flow of water generated in dams and transformed into energy with turbines that drive an electrical generator in hydroelectric plants.
Geothermal energy is obtained by taking advantage of the heat from the interior of the earth that reaches the earth's crust through steam, which is used to move electric turbines in geothermoelectric power plants.

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According to the formula

The density of air is

We solve for the value of the mass:

Vd = m
After:

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Using the equation that defines the density of a body These are data of the problem, with these, we obtain the density of the ingot formed by gold and copper.

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The density of the mixture is given by:

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The formula to determine degrees Fahrenheit is:

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The specific heat of aluminum is 0.212 cal/g ºC.
The formula to determine the amount of heat of a body is:

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Conduction is the process of heat transfer based on the direct contact of two objects. The molecules of the hot object, which move faster, collide with those of the cold object, which move more slowly. As the fast molecules collide, they transmit some of their energy to the slower ones. These, in turn, collide with other molecules in the cold object. This process continues until the energy from the hot object spreads through the cold object.

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The law of conservation of matter or Lomonosov-Lavoisier law indicates that “in an isolated system, during any ordinary chemical reaction, the total mass in the system remains constant, that is, the mass consumed of the reactants is equal to the mass of the products obtained”, which is why the phrase that does not correspond to the principles of dynamics is c.

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The third law of thermodynamics states that “the entropy of a pure substance at absolute zero is zero.” Therefore, the third law provides an absolute reference point for determining entropy.

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Coulomb's law says that "the force with which two charges attract or repel each other is directly proportional to the product of the charges and inversely proportional to the square of the distance that separates them."

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The equivalent capacitance of the group of capacitors that are connected in parallel is equal to the sum of the capacities of the individual capacitors. While the equivalent capacitance of the group of capacitors that are connected in series is equal to the inverse sum of capacities of the individual capacitors.

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The problem data is a resistance of 10 Ohms and a voltage of 30 Volts, so

According to Ohm's law we have:

So 10 amps are needed to power the washing machine.

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Applying Ohm's law:
V=Go
And you have to:

Substituting the values ​​indicated in the table, we have:

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When doing dimensional analysis, the permeability It has the units:

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According to the data: