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Lesson 1 Quiz: Equilibrium of a Particle, Friction and Limiting Static Friction

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1.
The slope of the tangent line to the curve y = x2 - 6 x + 5 at the point (4, -3) equals:
m = -2
m = 2
m = -3
m = 8
2.
If a particle moves along a straight line such that its position s(t) = t3 - 6 t2 + 9 t meters, the particle comes to an instantaneous rest (velocity v(t) = 0) at times:
t = 1 second and t = 3 seconds
t = 2 seconds and t = 4 seconds
t = 0 seconds only
t = 6 seconds
3.
In the expansion of \((x + a)^8\), the middle term is:
D) \(T_6\)
A) \(T_4\)
B) \(T_5\)
C) \(T_4\) and \(T_5\)
4.
The integral \(\int \frac{2x}{x^2 + 1}\, dx\) evaluates to:
B) \(frac{1}{x^2 + 1} + C\)
A) \(ln(x^2 + 1) + C\)
D) \((x^2 + 1)^2 + C\)
C) $2arctan x + C$
5.
STEM Organic Distinction Problem 5: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
Adding litmus paper: ethanol turns blue litmus red
Adding sodium metal: only ethanol reacts with sodium
6.
STEM Organic Distinction Problem 6: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding sodium metal: only ethanol reacts with sodium
Adding litmus paper: ethanol turns blue litmus red
7.
STEM Organic Distinction Problem 15: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding sodium metal: only ethanol reacts with sodium
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
8.
STEM Organic Distinction Problem 16: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding sodium metal: only ethanol reacts with sodium
Adding litmus paper: ethanol turns blue litmus red
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
9.
STEM Organic Distinction Problem 25: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding sodium metal: only ethanol reacts with sodium
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding litmus paper: ethanol turns blue litmus red
10.
STEM Organic Distinction Problem 26: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
Adding litmus paper: ethanol turns blue litmus red
Adding sodium metal: only ethanol reacts with sodium
11.
STEM Organic Distinction Problem 35: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Heating with concentrated sulfuric acid at 180°C
Adding litmus paper: ethanol turns blue litmus red
Adding sodium metal: only ethanol reacts with sodium
12.
STEM Organic Distinction Problem 36: How can you chemically distinguish between phenol (C6H5OH) and ethanol (C2H5OH) using a simple qualitative test?
Heating with concentrated sulfuric acid at 180°C
Adding neutral FeCl3 solution: phenol produces a distinct violet color, whereas ethanol shows no change
Adding sodium metal: only ethanol reacts with sodium
Adding litmus paper: ethanol turns blue litmus red
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