Physics 0100 Q2

Rewrite the following measurement in its most appropriate form, with suitable numbers of significant figures:

𝑣 = 8.123456 ± 0.0312 𝑚 𝑠⁻¹

• 8.123456 ± 0.03 𝑚 𝑠⁻¹

• 8.1235 ± 0.0312 𝑚 𝑠⁻¹

• 8.124 ± 0.031 𝑚 𝑠⁻¹

• 8.12 ± 0.03 𝑚 𝑠⁻¹

0.025 s + 0.075 s + 0.00080 s + 0.024 s

• 0.125 s

• 0.1248 s

• 0.1 s

• 0.12 s

Rewrite each of the following measurement in its most appropriate form, with suitable numbers of significant figures: 𝑡 = 1.5432 ± 1 𝑠

• 𝑡 = 1.5 ± 1.0 𝑠

• 𝑡 = 1.54 ± 1.0 𝑠

• 𝑡 = 2 ± 1 𝑠

• 𝑡 = 1.5432 ± 1.0 𝑠

A quantity S is determined from the equation S = P – Q.

P = 6.12 ± 0.02 m and Q = 1.84 ± 0.02 m. Calculate the percentage uncertainty in S.

• 90%

• 0.9%

• 0.09%

• 0.009%

The resistance of piece of wire is given by R = V/I. A

student wishes to determine the resistance of a piece

of wire. V and I are measured.

V = 12 ± 0.4 V

I = 1.0 ± 0.2 A

Calculate the resistance of the wire and include the

absolute uncertainty R.

• 12.000 ± 0.233 V

• 12.000 ± 2.796 V

• 12 ± 3 V

• 12.0 ± 0.3 V

The volume of a cylinder is given by the expression

V = πr²h. The volume and height of a cylinder is

measured as:

V = 12.0 ± 0.5 cm³, h = 21.0 ± 0.1 cm

Calculate the radius of the cylinder, with its

uncertainty assuming that the various quantities are independent and random.

• 0.426 ± 0.009 cm

• 0.4260 ± 0.0089 cm

• 0.4000 ± 0.0089 cm

• 0.400 ± 0.009 cm

An object is being pulled with force of 5 N acting at an angle of 30° to the horizontal. Calculate the horizontal and vertical components of the 5 N force.

• 5 Sin 30°, 5 Cos 30°

• 5 Cos 30°, 5 Sin 30°

• 5 Tan 30°, 5 Sin 30°

• 5 Cos 30°, 5 Tan 30°

A 5N and 12N force act at right angles to each other on the same point of an object. Calculate the resultant force which is equal to the combined effect of these two forces.

• 169 N

• 13 N

• 26 N

• 17 N

Which of the following are vector quantities?

• mass, length, time

• displacement, force, velocity

• distance, force, velocity

• distance, speed, momentum

Which of the following statements are true.

• Scalar quantities have both mass and direction

• Scalar quantities include extension and mass.

• You can add any two scalar quantities together ignoring units.

• Scalar quantities include distance and momentum.