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
Welcome back Tashe — missed you this week. To determine what happens to the horizontal component, we use the formula for the horizontal component of a vector. Step 1: Write the formula for the horizontal component. The horizontal component (V_x) of a vector with magnitude V at an angle with the horizontal is given by: V_x = V Step 2: Calculate the initial horizontal component at = 30^. V_x, initial = V 30^ We know that 30^ = sqrt(3)2. V_x, initial = V sqrt(3)2 Step 3: Calculate the final horizontal component at = 60^. V_x, final = V 60^ We know that 60^ = (1)/(2). V_x, final = V (1)/(2) Step 4: Compare the final horizontal component to the initial horizontal component. To find how the component changes, we can express the final value in terms of the initial value: V_x, finalV_x, initial = (V 1)/(2)V sqrt(3)2 V_x, finalV_x, initial = (1)/(2)sqrt(3)2 V_x, finalV_x, initial = (1)/(2) × (2)/(sqrt(3)) V_x, finalV_x, initial = (1)/(sqrt(3)) So, V_x, final = (1)/(sqrt(3)) V_x, initial. The horizontal component becomes (1)/(sqrt(3)) times its original value. The final answer is D. Drop the next question 📸