The minimum value of the coefficient of static friction between the block and the slope is 0.53.
<h3>Minimum coefficient of static friction</h3>
Apply Newton's second law of motion;
F - μFs = 0
μFs = F
where;
- μ is coefficient of static friction
- Fs is frictional force
- F is applied force
μ = F/Fs
μ = F/(mgcosθ)
μ = (250)/(50 x 9.8 x cos15)
μ = 0.53
Thus, the minimum value of the coefficient of static friction between the block and the slope is 0.53.
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Answer:
b.have frequencies that are integer multiples of the frequency of the complex waveform
Explanation:
Please correct me if I am wrong
Answer:
Explanation:
One of the easiest ways to work with vectors is to use their components
a) To find the magnitude let's use the Pythagorean theorem
A² = Ax² + Ay² + Az²
A = √ 3² + 4² + (-5)² = √ 50
A = 7.07
B = √ Bx² + By² + Bz²
B = √ (-2)² + 0 + 6² = √ 40
B = 6.32
b) to find these angles the most practical use the concept of cosine directors with the formulas
Vector A
cos α = X / A
cos β = y / A
cos γ = z / A
cos α = 3 / 7.07
α = cos⁻¹ 0.424
α = 64.9º
cos β = 4 / 7.07
β = cos⁻¹ 0.5658
β = 55.5º
Cos γ = -5 / 7.07
γ=Cos⁻¹ (-0.7079)
γ= 135º
Vector B
cos α = X / B
cos β = y / B
cos γ = z / B
cos α = 0
α = 90º
cos β = -2 / 6.32
β = 108.4º
cos γ = 6 / 6.32
γ = 18.3º
c) find A + B
R = A + B = (3 + 0) i ^ + (4-2) j ^ + (-5 +6) k ^
R = 3 i ^ + 2j ^ + 1 k ^
d) to find the angles we use the scalar product
cos θ = A.B / | A | | B |
A.B = 0 i ^ -8 j ^ -30 k ^
Cos θ = [R (8 2 + 30 2)] / 7.07 6.32
Cos θ = 31.05 / 44.68
θ = 46º
e) find A-B
R = A-B = (3-0) i ^ + (4- (2)) j ^ + (-5 - 6) k ^
R = 3 i ^ + 6j ^ -11 k ^
Average speed = Distance traveled / time
= 255 miles / 4.75 hours
= 53.68 miles/hour
If we were solving for velocity the displacement of 121 miles would have been used.
The correct answer for this question would be option A. When the thermal energy in a hot iron flows into a shirt, what we can possibly say about this situation is that, the iron is warmer than the shirt. The transfer of heat from the iron to the shirt is called heat conduction. Hope this answer helps.
