$$R = \sqrt{A^2$ + B^2$ + 2AB \cos \theta}$$

Question 1

Which of the following images best represents the concept of vector addition using the graphical method?

Accepted Answer

The image showing three vectors A, B, and C joined head-to-tail with a resultant R (Figure 1).

Question 2

According to the SI base units table, which of the following is the correct SI unit and dimension for electric current?

Accepted Answer

ampere (A), dimension I

Question 3

Which of the following derived units is correctly matched with its dimension?

Accepted Answer

Force: newton (N), $$kg \cdot m \cdot s$$^{-2}$$

Question 4

If you want to convert 10 inches to meters, which operation should you use according to the conversion table?

Accepted Answer

$$10 	imes 0.0254$$

Question 5

Which image best illustrates the concept of projectile motion?

Accepted Answer

The image showing a parabolic trajectory with labeled maximum height and range.

Question 6

In the context of Newton's laws, which image best represents the concept of action-reaction forces?

Accepted Answer

The image showing two masses connected by a spring with forces F and -F.

Question 7

Which image best represents the concept of frictional force?

Accepted Answer

The image showing a red block with arrows labeled 'friction force' and 'shear reaction force'.

Question 8

Which of the following is the correct formula for the magnitude of the resultant vector R using the parallelogram law (as shown in Figure 2)?

Accepted Answer

$$R = \sqrt{A^2$ + B^2$ + 2AB \cos 	heta}$$

Question 9

Which image best illustrates the concept of center of mass for a system of particles?

Accepted Answer

The image showing three masses on a grid with a vector pointing to their center of mass.

Question 10

Which of the following best describes the physical quantity measured by the instrument shown in the first image (right side, metallic tool)?

Accepted Answer

It measures length or thickness with high precision (vernier caliper).

Question 11

Which image best represents the concept of a perfectly inelastic collision?

Accepted Answer

The image showing two masses sticking together after collision and moving with a common velocity.

Question 12

Which of the following is the correct SI unit and dimension for energy, as shown in the derived units table?

Accepted Answer

joule (J), $$kg \cdot m^2$ \cdot s$$^{-2}$$

Question 13

Which image best illustrates the concept of Kepler's first law of planetary motion?

Accepted Answer

The image showing a planet moving in an elliptical orbit with the sun at one focus.

Question 14

Which image best represents the concept of work done by a force?

Accepted Answer

The image showing a person lifting a barbell.

Question 15

Which image best illustrates the concept of projectile motion as applied to real-world scenarios?

Accepted Answer

The image showing a plane dropping a package and the curved trajectory of the package.

Foundations of Physics: Measurement, Vectors, and Kinematics

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