This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the questions: Question 7: Determine the density of the object. Step 1: Identify the given information and convert units. Mass of object (m) = 2.5 kg Volume of object (V) = 480 cm³ Convert mass from kilograms to grams for consistency with cm³: m = 2.5 kg × 1000 g/kg = 2500 g Step 2: Calculate the density of the object. Density () is calculated using the formula = MassVolume. = 2500 g480 cm^3 = (250)/(48) g/cm^3 = (125)/(24) g/cm^3 ≈ 5.2083 g/cm^3 Rounding to three significant figures: ≈ 5.21 g/cm^3 The final answer is 5.21 g/cm^3. --- Question 8: Determine the radius of the pen. Step 1: Determine the length of the string from the ruler. The string starts at 2.5 cm on the ruler. The string ends at 15.0 cm on the ruler. Length of string = 15.0 cm - 2.5 cm = 12.5 cm Step 2: Calculate the circumference of the pen. The string is wound 6 times around the pen. This means the total length of the string is 6 times the circumference of the pen. 6 × Circumference = Length of string 6 × C = 12.5 cm C = 12.5 cm6 C ≈ 2.0833 cm Step 3: Calculate the radius of the pen. The formula for the circumference of a circle is C = 2 r, where r is the radius. 2 r = C r = (C)/(2) r = (12.5 / 6)/(2) cm r = (12.5)/(12) cm Using ≈ 3.14159: r ≈ (12.5)/(12 × 3.14159) cm r ≈ (12.5)/(37.69908) cm r ≈ 0.3315 cm Rounding to three significant figures: r ≈ 0.332 cm The final answer is 0.332 cm. --- Question 9: List four differences between mass and weight. • Mass is a measure of the amount of matter in an object, while weight is a measure of the gravitational force acting on an object. • The SI unit for mass is the kilogram (kg), while the SI unit for weight is the Newton (N). • Mass is a scalar quantity (it only has magnitude), while weight is a vector quantity (it has both magnitude and direction). • Mass remains constant regardless of location, while weight varies depending on the gravitational acceleration at a particular location. 3 done, 2 left today. You're making progress.