Mdcat Online Test #3

Explanation: Centripetal force acts perpendicular to the motion, towards the center, causing the object to follow a curved path.

Explanation: Since v=ωrv is doubled, v will also double.

Explanation: Linear velocity v is directly proportional to angular velocity ω and the radius r by v=ωr

Explanation: Using v = (ωrv) = (v/r) = (10m/s/0.5 m) = 20 rad/s

Explanation: Angular velocity is measured in radians per second (rad/s).

Explanation: 2 revolutions/sec × 2π radians/revolution = 4π radians/sec

Explanation: One revolution is 2π2\pi2π radians, so one and a half revolutions is 2π+π=3π radians.

Explanation: 180 degree is equal to π radians (180∘ × (π radians/180∘)=π radians).

Explanation: A full revolution corresponds to 360 degree or 2π radians.

Explanation: STP is defined as 0°C (273 K) and 1 atm pressure.

Explanation: The gas constant R is 8.314 J/mol·K when expressed in energy units.

Explanation: Real gases behave most like ideal gases at high temperatures and low pressures because intermolecular forces and the volume of gas molecules become negligible.

Explanation: Increasing temperature at constant volume increases the kinetic energy of gas molecules, leading to more frequent and forceful collisions with the container walls, thereby increasing pressure.

• Explanation: According to the kinetic molecular theory, gas particles do not exert attractive or repulsive forces on each other.

Explanation: Absolute zero, the lowest possible temperature, is -273.15°C or 0 K, where theoretically, molecular motion stops.

Explanation: High kinetic energy generally supports ideal behavior by reducing the effects of intermolecular attractions and the volume of gas molecules.

Explanation: Real gases deviate from ideal behavior at low temperatures and high pressures due to increased intermolecular forces and volume of gas particles.

Explanation: At STP (standard temperature and pressure: 273 K, 1 atm), 1 mole of an ideal gas occupies 22.4 liters.

Explanation: The theory assumes gas molecules are in constant, random motion, with negligible volume and no significant intermolecular forces.

Explanation: The first conditional is used for real and possible situations in the future. The structure is “If + present simple (finishes), + will + base form (will submit)”. It implies that if he finishes the report, then it is possible to submit it on time.

• Explanation: The second conditional is used for hypothetical situations in the present or future. The structure is “If + past simple (were), + would + base form (would not worry)”. “Were” is used instead of “was” because “I” in the context of a hypothetical situation follows the subjunctive mood.

Explanation: Zero conditional is used for universal truths and general facts. The structure is “If + present simple (boils), + present simple (evaporates)”. It implies that whenever water boils, it always evaporates.

Explanation: The third conditional is used for past unreal conditions and results. The structure is “If + past perfect (had told), + would have + past participle (would have attended)”. It indicates a situation that did not happen and its possible result in the past.

Explanation: This is a mixed conditional sentence combining the third conditional (past unreal situation) with the second conditional (present unreal result). The correct structure is “If + past perfect (had studied), + would + base form (wouldn’t have)”. Here, “had studied” refers to an unreal past situation and “wouldn’t have” refers to the present consequence.

Explanation: From the premises, "No buses are trains" and "Some trains are electric", it logically follows that some buses must be electric. This conclusion stems from the fact that if some trains are electric and no buses are trains, then the electric trains cannot be buses, leaving the possibility for some other buses to be electric.

Explanation: Given that no dogs are cats and all cats are mammals, it logically follows that some dogs must be mammals. This is because if all cats (including non-cats) are mammals, then some dogs (which are not cats) must also be mammals.

Explanation: From the premises, "All philosophers are thinkers" and "Some thinkers are writers", we can conclude that some writers are philosophers. This follows logically from the given statements.

Explanation: Given that all cats are animals and some animals are dogs, it follows logically that some cats must also be dogs, as there is an overlap between animals and dogs.

Explanation: From the premises, "All roses are flowers" and "Some flowers are tulips", we can deduce that all tulips are flowers. This is a valid deduction based on the given information.