Engineering Studies Formulas Quiz

What is the formula for force according to Newton's second law?

• F = ma

• F = mg

• F = mgh

Answer explanation

According to Newton's second law, the formula for force is F = ma, where F is force, m is mass, and a is acceleration. This formula shows that force is directly proportional to the mass of an object and its acceleration.

What is the formula for the moment (M) in terms of force (F) and distance (d)?

• M = Fd

• M = F/d

• M = F + d

• M = F - d

Answer explanation

The moment (M) is calculated by multiplying the force (F) applied to an object by the distance (d) from the pivot point. Therefore, the correct formula is M = Fd.

What is the condition for equilibrium in terms of forces in the x-direction?

• ΣFx = 0

• ΣFy = 0

• ΣM = 0

• ΣFz = 0

Answer explanation

The condition for equilibrium in the x-direction is that the sum of all forces acting along the x-axis must equal zero, represented as ΣFx = 0. This ensures there is no net force causing acceleration in that direction.

What is the formula for frictional force (F) in terms of the coefficient of friction (μ) and normal force (N)?

• F = μN

• F = μ/N

• F = N/μ

• F = μ + N

Answer explanation

The formula for frictional force (F) is given by F = μN, where μ is the coefficient of friction and N is the normal force. This relationship shows that frictional force is directly proportional to both the coefficient of friction and the normal force.

What is the formula for kinetic energy (KE)?

• KE = mgh

• KE = Fs

Answer explanation

The correct formula for kinetic energy (KE) is KE = \frac{1}{2} mv^2, where m is mass and v is velocity. This formula shows that kinetic energy is proportional to the mass and the square of the velocity of an object.

What is the formula for potential energy (PE) in terms of mass (m), gravity (g), and height (h)?

• PE = mgh

• PE = Fs

• PE = W/t

Answer explanation

The formula for potential energy (PE) is given by PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. This formula represents the energy stored due to an object's position in a gravitational field.

What is the formula for pressure (P) in terms of force (F) and area (A)?

• P = F/A

• P = A/F

• P = F + A

• P = F - A

Answer explanation

The formula for pressure (P) is defined as the force (F) applied per unit area (A). Therefore, the correct formula is P = F/A, which shows how pressure increases with more force or decreases with a larger area.

What is the formula for stress (σ) in terms of force (F) and area (A)?

• σ = F/A

• σ = A/F

• σ = F + A

• σ = F - A

Answer explanation

The formula for stress (σ) is defined as the force (F) applied per unit area (A). Therefore, the correct formula is σ = F/A, which indicates how much force is distributed over a given area.

What is the formula for strain (ε) in terms of extension (e) and original length (L)?

• ε = e/L

• ε = L/e

• ε = e + L

• ε = e - L

Answer explanation

The formula for strain (ε) is defined as the ratio of extension (e) to the original length (L). Therefore, the correct formula is ε = e/L, which indicates how much a material deforms relative to its original length.

What is the formula for Young's modulus (E) in terms of stress (σ) and strain (ε)?

• E = σ/ε

• E = ε/σ

• E = σ + ε

• E = σ - ε

Answer explanation

Young's modulus (E) is defined as the ratio of stress (σ) to strain (ε). Therefore, the correct formula is E = σ/ε, indicating how much a material deforms under stress.