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 — missed you this week. 1. (a) A body in circular motion moving at constant speed is said to be accelerating because its velocity is constantly changing. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. Even if the speed is constant, the direction of motion is continuously changing as the body moves in a circle, thus its velocity changes, resulting in an acceleration (centripetal acceleration). 1. (b) Step 1: Identify the given values. Mass m = 450 g = 0.45 kg Frequency f = 3 revolutions/second Radius r = 1.5 m Step 2: Calculate the angular velocity . The formula for angular velocity is = 2 f. = 2 × × 3 rad/s = 6 rad/s ≈ 18.85 rad/s Step 3: Calculate the linear velocity v. The formula for linear velocity is v = r. v = (6 rad/s) × (1.5 m) v = 9 m/s v ≈ 28.27 m/s The linear velocity is 28.27 m/s. 2. Step 1: Identify the given values. Mass m = 0.05 kg Compression distance x = 0.2 m Spring constant k = 15 N/m Step 2: Apply the principle of conservation of energy. The elastic potential energy stored in the compressed spring is converted into gravitational potential energy when the ball reaches its maximum height. Elastic potential energy PE_s = (1)/(2)kx^2 Gravitational potential energy PE_g = mgh Equating the two: PE_s = PE_g (1)/(2)kx^2 = mgh Step 3: Substitute the values and solve for h. (1)/(2) (15 N/m) (0.2 m)^2 = (0.05 kg) (9.81 m/s^2) h (1)/(2) (15) (0.04) = (0.05) (9.81) h 0.3 = 0.4905 h h = (0.3)/(0.4905) h ≈ 0.6116 m The maximum height reached is 0.61 m. 3. To show a reading of 3.62 cm on a vernier caliper: • The zero mark of the vernier scale should be placed just past the 3.6 cm mark on the main scale. • The second mark (2) on the vernier scale should be aligned exactly with any mark on the main scale. This assumes a least count of 0.01 cm for the vernier caliper. Send me the next one 📸