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.
ScanSolve AI Answer
Step 1: Analyze Question 1.1. Newton's Second Law of Motion states that the net force acting on an object is equal to the rate of change of its momentum. Mathematically, this is expressed as F_net = ( p)/( t), where F_net is the net force and ( p)/( t) is the rate of change of momentum. The correct option is B. A: Impulse is the change in momentum, not the rate of change. C: Product of mass and change in velocity is the change in momentum. D: This is not a standard physical quantity related to the rate of change of momentum. Step 2: Analyze Question 1.2. The gravitational acceleration g on the surface of a planet is given by the formula g = (GM)/(R^2), where G is the gravitational constant, M is the mass of the planet, and R is its radius. For planet X: g_X = (GM)/(r^2) = g For planet Y, the mass is 2M and the radius is (1)/(2)r. Let g_Y be the gravitational acceleration on planet Y. g_Y = (G(2M))/((1)2r)^2 g_Y = (2GM)/(1)4r^2 g_Y = 2 × 4 × (GM)/(r^2) g_Y = 8 × ((GM)/(r^2)) Since (GM)/(r^2) = g, we have: g_Y = 8g The correct option is D. Step 3: Analyze Question 1.3. The graph shows a physical quantity that remains constant over time (t) for an object in free fall, ignoring air friction. A: Velocity* changes linearly with time due to constant gravitational acceleration (v = v_0 + gt). B: Position* changes quadratically with time (y = y_0 + v_0 t + (1)/(2)gt^2). C: Weight* is the force of gravity on an object, W = mg. Since both mass (m) and gravitational acceleration (g) are constant in free fall (ignoring air friction and altitude changes), the weight remains constant. D: Momentum* is p = mv. Since velocity changes, momentum also changes. The only quantity that remains constant is weight. The correct option is C. 1.1: The rate of change of momentum of an object is equal to the B net force acting on the object. 1.2: The gravitational acceleration on the surface of planet Y is D 8g. 1.3: The physical quantity that can be the label on the y-axis is C Weight. Send me the next one 📸