Force and Pressure Calculations

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Questions and Answers

What is the elastic force if the elastic constant is $k = 50 N/m$ and the spring's elongation is $\Delta L = 0.04 m$?

  • $0.0008 N$
  • $2 N$ (correct)
  • $200 N$
  • $12.5 N$

What is the spring constant if the elastic force is $F_{el} = 5 N$ and the elongation is $\Delta L = 0.01 m$?

  • $500 N/m$ (correct)
  • $50 N/m$
  • $0.05 N/m$
  • $5 N/m$

What is the force if the mass is $m=0.25 kg$?

  • $0.4 N$
  • $25 N$
  • $2.5 N$ (correct)
  • $0.025 N$

What does 'm' stand for in the formula $F=m \times a$?

<p>Mass (C)</p> Signup and view all the answers

What formula is used to calculate the force of gravity?

<p>$F_g = m * g$ (D)</p> Signup and view all the answers

What does 'Guose' represent in Problem 1?

<p>Density (D)</p> Signup and view all the answers

If a mass (m) is 2 kg and the acceleration due to gravity (g) is 10 m/s², what is the force (F) according to the formula F = m * g?

<p>20 N (C)</p> Signup and view all the answers

What is the value of atmospheric pressure ($P_{atm}$) given in Problem 1?

<p>100000 Pa (D)</p> Signup and view all the answers

What are the standard units for pressure (P)?

<p>Pascals (Pa) (D)</p> Signup and view all the answers

What formula is used to calculate pressure?

<p>P = F/A (D)</p> Signup and view all the answers

In Problem 1, what does 'Ah' represent?

<p>Height (B)</p> Signup and view all the answers

In Problem 2, what are the units of the initial and final lengths?

<p>Meters (A)</p> Signup and view all the answers

If a force of 20 N is applied over an area of 0.01 m², what is the pressure?

<p>2000 Pa (B)</p> Signup and view all the answers

What is the formula for calculating frictional force (Ftr)?

<p>Ftr = µ * F (A)</p> Signup and view all the answers

What is being calculated in Problem 2?

<p>Spring Constant (D)</p> Signup and view all the answers

In Problem 5, what value is used for the coefficient of friction (µ)?

<p>0.6 (C)</p> Signup and view all the answers

In Problem 6, what are the given units for weight?

<p>N (C)</p> Signup and view all the answers

In Problem 6, what calculation is performed to find the total force required?

<p>Wtotal = W1 * d1 + W2 * d2 (D)</p> Signup and view all the answers

In Problem 7, what formula is used to solve for F2?

<p>F2 = 75 - 50 (A)</p> Signup and view all the answers

What does $F_{rez}$ represent in the context of forces?

<p>The resultant force or net force (B)</p> Signup and view all the answers

If $F_1 = 20 N$, $F_2 = 14 N$ and $F_3 = 10 N$, and $F_{rez} = F_1 + F_2 + F_3$, what is the magnitude of $F_{rez}$?

<p>44 N (C)</p> Signup and view all the answers

What is the purpose of resolving a force into components?

<p>To analyze its effect in different directions (D)</p> Signup and view all the answers

In the formula for hydrostatic pressure, $P_{hid}$, what does 'h' represent?

<p>The height of the fluid (C)</p> Signup and view all the answers

Which of the following is a vector quantity?

<p>Force (C)</p> Signup and view all the answers

What does 'k' typically represent in the context of spring calculations?

<p>Spring constant (A)</p> Signup and view all the answers

What formula is used to calculate the spring force?

<p>$F = k \Delta L$ (A)</p> Signup and view all the answers

What is the standard unit for mass when calculating weight?

<p>Kilograms (B)</p> Signup and view all the answers

What is the force due to gravity commonly referred to as?

<p>Weight (C)</p> Signup and view all the answers

What is the value of 'g' (acceleration due to gravity) usually approximated as in calculations?

<p>10 m/s² (D)</p> Signup and view all the answers

What formula is used to calculate weight?

<p>Weight = mass * gravity (C)</p> Signup and view all the answers

If a person has a mass of 60 kg and a backpack of 10 kg, what is their combined mass?

<p>70 kg (D)</p> Signup and view all the answers

On Earth, what is the approximate value of acceleration due to gravity (g) often used in calculations?

<p>10 m/s² (B)</p> Signup and view all the answers

What is the formula for calculating force when mass and acceleration are known?

<p>Force = mass * acceleration (A)</p> Signup and view all the answers

What is the unit of measurement for force?

<p>Newton (N) (B)</p> Signup and view all the answers

What is the formula for calculating force (F) when given density ($\rho$), gravity (g), height (h), and area (A)?

<p>F = $\rho \times g \times h \times A$ (B)</p> Signup and view all the answers

In the first problem, what is the value of A in cubic meters (m³)?

<p>0.7 × 10⁻⁶ m³ (D)</p> Signup and view all the answers

In the context of the provided problems, what does 'Ftr' represent?

<p>Friction Force (A)</p> Signup and view all the answers

What are the units for density ($\rho$) used in the provided physics problems?

<p>kg/m³ (D)</p> Signup and view all the answers

What is the value used for the acceleration due to gravity (g) in the provided physics problems?

<p>10 N/kg (A)</p> Signup and view all the answers

Flashcards

Elastic Force Formula

The formula to calculate elastic force is F_el = k * ΔL, where k is the elastic constant and ΔL is the elongation.

Spring Constant (k)

The spring constant k measures a spring's stiffness, calculated by k = F_el / ΔL.

Force of Gravity (Fg)

The gravitational force acting on an object is calculated by F_g = m * g, where m is mass and g is gravitational acceleration.

Conversion of Units

Converting units is essential for calculations, e.g., 1 cm = 0.01 m.

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Force Calculation Formula

The general formula for force is F = m * a, where m is mass and a is acceleration.

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Mass (m)

The amount of matter in an object, measured in kilograms (kg).

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Gravity (g)

The acceleration due to gravity near Earth's surface, approximately 10 m/s².

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Pressure (P)

The force exerted per unit area, calculated as P = F / A.

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Calculation of Force (F)

The force exerted by an object due to its mass and gravity, calculated as F = m * g.

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Density

Mass per unit volume, often expressed in kg/m³.

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Atmospheric Pressure

The pressure exerted by the weight of the atmosphere, typically 100,000 Pa at sea level.

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Hydrostatic Pressure

Pressure exerted by a fluid at equilibrium due to the force of gravity, often calculated as Phid + Patm.

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Length Change in a Spring

The difference between final and initial lengths, important for calculating spring properties.

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Pressure Calculation

Pressure ($P_{hid}$) can be calculated from fluid height ($h$) and gravity ($g$).

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Resultant Force

The resultant force ($F_{rez}$) is the total of individual forces acting on an object: $F_{rez} = F_1 + F_2 + F_3$.

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Force Components

A larger force can be broken down into component forces.

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Force Resolution

Finding the component of a force vector ($F$) from a resultant force ($F_{rez}$).

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Equilibrium Concept

In equilibrium, the sum of forces acting on a body is zero.

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Frictional Force (Ftr)

The force resisting motion between two surfaces in contact, calculated as Ftr = µ * F.

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Coefficient of Friction (µ)

A dimensionless constant representing the frictional interaction between surfaces, noted as 0.6 in the problem.

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Total Force (Wtotal)

The combined force of multiple weights at different distances, calculated as Wtotal = W1 * d1 + W2 * d2.

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Weight (W)

The gravitational force acting on an object, measured in Newtons (N), e.g., W1 = 14 N and W2 = 12 N.

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Net Force (F2)

The resultant force acting on an object, calculated as F2 = total force - other forces.

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Total Force Calculation

The sum of the forces exerted by mass and gravity.

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Weight on Moon

The force of gravity acting on an object's mass on the moon.

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Friction Force

The resistance force that opposes motion between two surfaces.

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Spring Force (F_el)

Force exerted by a spring, calculated as F_el = k * ΔL.

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Gravitational Acceleration (g)

The acceleration due to gravity, typically 9.8 or rounded to 10 N/kg.

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Force (F) Calculation

F = ρ × g × h × A calculates force using density, gravity, height, and area.

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Unit Conversion (cm³ to m³)

0.7 cm³ converts to 0.7 × 10⁻⁶ m³ for force calculations.

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Density (ρ)

ρ = mass/volume, essential for calculating buoyancy and force.

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