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: The weight of an object is the gravitational force acting on it. According to Newton's Law of Universal Gravitation, the force of gravity is inversely proportional to the square of the distance from the center of the Earth. Let W_1 be the weight on Earth's surface and R_E be the Earth's radius. The distance from the center of the Earth is r_1 = R_E. When the object is moved one Earth radius above the surface, the new distance from the center of the Earth is r_2 = R_E + R_E = 2R_E. Step 1: State the initial weight and distances. Initial weight W_1 = 100 N at distance r_1 = R_E. New distance r_2 = 2R_E. Step 2: Apply the inverse square law for gravitational force. The new weight W_2 is related to the initial weight W_1 by the ratio of the square of the distances: W_2 = W_1 ( (r_1)/(r_2) )^2 Step 3: Substitute the values and calculate the new weight. W_2 = 100 N ( (R_E)/(2R_E) )^2 W_2 = 100 N ( (1)/(2) )^2 W_2 = 100 N × (1)/(4) W_2 = 25 N The correct option is A. A. 25N Question 8: The relationship between density, mass, and volume is given by the formula: Density = MassVolume To find the mass, we can rearrange the formula: Mass = Density × Volume Step 1: Identify the given density and volume. Density = 1.63 g/mL. Volume = 0.25 L. Step 2: Convert the volume from liters (L) to milliliters (mL) to match the units of density. We know that 1 L = 1000 mL. Volume in mL = 0.25 L × 1000 mL1 L = 250 mL Step 3: Calculate the mass using the formula. Mass = 1.63 gmL × 250 mL Step 4: Perform the multiplication. Mass = 407.5 g The correct option is C. C. 407.5g 3 done, 2 left today. You're making progress.