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Practice Questions

An object is in equilibrium under the action of three forces. F1 = (10i) N, F2 = (-4i + 3j) N. The third force F3 must be…

A. (-6i - 3j) N ✓
B. (6i + 3j) N
C. (-14i - 3j) N
D. (14i + 3j) N
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Jun 25, 2026

A vector has a magnitude of 100 units. Its component along the y-axis is 50 units. The angle it makes with the x-axis is either 30° or…

A. 120°
B. 150° ✓
C. 210°
D. 330°
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nmdcat.online Physics
Jun 25, 2026

A force F1 has components (10, 20). A force F2 is added such that the resultant is (0, 30). The components of F2 must be…

A. (10, 10)
B. (-10, 10) ✓
C. (10, 50)
D. (-10, 50)
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nmdcat.online Physics
Jun 25, 2026

A vector A makes an angle of 30° with the x-axis. A vector B makes an angle of 120° with the x-axis. If both have magnitude F, the magnitude of their resultant is…

A. 2F
B. F
C. √2 F ✓
D. √3 F
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nmdcat.online Physics
Jun 25, 2026

The magnitude of the resultant vector from the previous question is…

A. 3
B. 6
C. 2√3 ✓
D. 2
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Jun 25, 2026

The direction of the resultant vector from the previous question is…

A. 45°
B. 135°
C. 225° ✓
D. 315°
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nmdcat.online Physics
Jun 25, 2026

The resultant of vector A=10 units at 270° and B=10 units at 180° has a magnitude of…

A. 0 units
B. 10 units
C. 20 units
D. 14.1 units ✓
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nmdcat.online Physics
Jun 25, 2026

A force of 10√2 N acts at an angle of 315°. Its components (Fx, Fy) are…

A. (10 N, 10 N)
B. (-10 N, -10 N)
C. (10 N, -10 N) ✓
D. (-10 N, 10 N)
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nmdcat.online Physics
Jun 25, 2026

To nullify the vector A = (-4i – 6j), one must add the vector…

A. (-4i - 6j)
B. (4i + 6j) ✓
C. (4i - 6j)
D. (-4i + 6j)
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nmdcat.online Physics
Jun 25, 2026

A vector of magnitude 8 units lies in the 3rd quadrant, making an angle of 60° with the negative x-axis. Its components are approximately…

A. (-4, -6.9) ✓
B. (-6.9, -4)
C. (4, 6.9)
D. (-6.9, 4)
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nmdcat.online Physics
Jun 25, 2026

If Rx = Rcosφ, then φ must be the angle between the vector R and the…

A. y-axis
B. x-axis ✓
C. z-axis
D. origin
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nmdcat.online Physics
Jun 25, 2026

Two forces F1=20N at 45° and F2=20N at 135° act on a body. The resultant force vector is…

A. 40j N
B. 28.3j N ✓
C. 20j N
D. 20i N
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nmdcat.online Physics
Jun 25, 2026

A person pulls a box with a force of 50 N at an angle of 30° above the horizontal. The effective force pulling the box horizontally is…

A. 25.0 N
B. 50.0 N
C. 43.3 N ✓
D. 30.0 N
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nmdcat.online Physics
Jun 25, 2026

A plane flies at 100 m/s East while a crosswind blows at 100 m/s North. The plane’s resultant speed is approximately…

A. 200 m/s
B. 0 m/s
C. 141 m/s ✓
D. 100 m/s
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nmdcat.online Physics
Jun 25, 2026

If vector R = A + B, and R = A – B in magnitude, then…

A. B must be a null vector
B. A and B must be perpendicular ✓
C. A must be a null vector
D. A and B must be parallel
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nmdcat.online Physics
Jun 25, 2026

A vector has components (1, √3). The angle it makes with the x-axis is…

A. 30°
B. 45°
C. 60° ✓
D. 90°
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nmdcat.online Physics
Jun 25, 2026

A force of 10 N acts at 30° and another force of 10 N acts at 150°. The resultant has a magnitude of…

A. 20 N
B. 10 N ✓
C. 0 N
D. 10√3 N
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nmdcat.online Physics
Jun 25, 2026

The resultant of three vectors of magnitude 3, 4, and 5 can be zero if they are arranged…

A. along the sides of a right-angled triangle ✓
B. along a straight line
C. in any random direction
D. It is not possible for the resultant to be zero
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nmdcat.online Physics
Jun 25, 2026

The magnitude of the resultant force from the previous two questions (Rx=-10, Ry=-20) is approximately…

A. 30.0 N
B. 10.0 N
C. 22.4 N ✓
D. 15.0 N
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nmdcat.online Physics
Jun 25, 2026
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