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Quiz

Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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  • Questions count: 20
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1.
STEM Dynamics Problem 27: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
24 m/s
30 m/s
12 m/s
6 m/s
2.
STEM Statics Problem 31: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
30 N
10√3 N
20√3 N (approximately 34.64 N)
3.
STEM Calculus Problem 37: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x)
6 sin2(2x) cos(2x)
4.
STEM Calculus Problem 33: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
3 sin2(2x)
5.
STEM Statics Problem 29: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
10√3 N
20√3 N (approximately 34.64 N)
60 N
6.
STEM Dynamics Problem 16: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
24 m/s
12 m/s
30 m/s
6 m/s
7.
STEM Calculus Problem 1: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
3 sin2(2x)
8.
STEM Statics Problem 21: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
30 N
10√3 N
20√3 N (approximately 34.64 N)
9.
STEM Calculus Problem 28: Find the derivative dy/dx for the function y = sin3(2x).
3 sin2(2x)
3 sin2(2x) cos(2x)
6 sin2(2x) cos(2x)
6 sin2(2x)
10.
STEM Dynamics Problem 5: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
6 m/s
24 m/s
12 m/s
30 m/s
11.
STEM Statics Problem 42: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
10√3 N
20√3 N (approximately 34.64 N)
30 N
12.
STEM Dynamics Problem 24: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
30 m/s
12 m/s
24 m/s
6 m/s
13.
STEM Statics Problem 34: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
20√3 N (approximately 34.64 N)
10√3 N
30 N
14.
STEM Dynamics Problem 15: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
24 m/s
30 m/s
12 m/s
6 m/s
15.
STEM Statics Problem 4: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
10√3 N
20√3 N (approximately 34.64 N)
60 N
16.
STEM Calculus Problem 21: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
3 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x)
17.
STEM Calculus Problem 16: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x)
3 sin2(2x) cos(2x)
3 sin2(2x)
6 sin2(2x) cos(2x)
18.
STEM Dynamics Problem 20: A body of mass 5 kg moves in a straight line under a net force F = 30 N. Starting from rest, what is its velocity after 4 seconds?
6 m/s
24 m/s
12 m/s
30 m/s
19.
STEM Statics Problem 40: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
60 N
30 N
10√3 N
20.
STEM Calculus Problem 20: Find the derivative dy/dx for the function y = sin3(2x).
6 sin2(2x) cos(2x)
6 sin2(2x)
3 sin2(2x)
3 sin2(2x) cos(2x)
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