Answer:
The measurement which is the most precise is 104.6 °C.
Explanation:
The measurement which is most precise must be very close to the actual value of the temperature.
Thus, the unit which have less value of the |Δx| (error) must be most precise.
Thus,
Actual value = 105.1 °C
Value = 103.7 °C
<u>|Δx| = 1.4 °C</u>
Value = 108.4 °C
<u>|Δx| = 3.3 °C</u>
Value = 105.8 °C
<u>|Δx| = 0.7 °C</u>
Value = 104.6 °C
<u>|Δx| = 0.5 °C</u>
<u>Thus, The measurement which is the most precise is 104.6 °C.</u>
Answer:
1. A1, B2, C3
2. 47.1°
Explanation:
Sum of forces in the x direction:
∑Fₓ = ma
f − Fᵥᵥ = 0
f = Fᵥᵥ
Sum of forces in the y direction:
∑Fᵧ = ma
N − W = 0
N = W
Sum of moments about the base of the ladder:
∑τ = Iα
Fᵥᵥ h − W (b/2) = 0
Fᵥᵥ h = ½ W b
Fᵥᵥ (l sin θ) = ½ W (l cos θ)
l Fᵥᵥ sin θ = ½ l W cos θ
The correct set of equations is A1, B2, C3.
At the smallest angle θ, f = Nμ. Substituting into the first equation, we get:
Nμ = Fᵥᵥ
Substituting the second equation into this equation, we get:
Wμ = Fᵥᵥ
Substituting this into the third equation, we get:
l (Wμ) sin θ = ½ l W cos θ
μ sin θ = ½ cos θ
tan θ = 1 / (2μ)
θ = atan(1 / (2μ))
θ = atan(1 / (2 × 0.464))
θ ≈ 47.1°
To determine the object which could give the greatest impact we will apply the concept of momentum. The object that has the highest momentum will be the object that will impact the strongest. Our values are
Mass of Object A
Velocity of object A
Mass of object B
Velocity of object B
The general formula for momentum is the product between mass and velocity, then
For each object we have then,
Since the momentum of object A is greater than that of object B, then object A will make you feel force upon impact.
