Question

Начав при помощи крана подъём груза вверх, скорость движения груза увеличивают от состояния покоя до 10.8 м/с в течение 9 секунд.

Answer 1

Ускорение груза:
a = (V - Vo) / t = (10,8 - 0) / 9 = 1,2 м/с²

Ускорение груза направлено ВЕРТИКАЛЬНО ВВЕРХ.


В этом случае груз обладает ПОВЫШЕННЫМ ВЕСОМ.

Answer 2

Calculation of Acceleration and Distance Traveled

To calculate the acceleration and distance traveled when lifting a load using a crane, we can use the following formulas:

1. Acceleration (a) = Change in velocity (Δv) / Time taken (t) 2. Distance traveled (s) = Initial velocity (u) * Time taken (t) + 0.5 * Acceleration (a) * (Time taken (t))^2

Given the information provided: - Initial velocity (u) = 0 m/s (since the load starts from rest) - Final velocity (v) = 10.8 m/s - Time taken (t) = 9 seconds

Let's calculate the acceleration and distance traveled step by step.

1. Calculation of Acceleration: - Change in velocity (Δv) = Final velocity (v) - Initial velocity (u) = 10.8 m/s - 0 m/s = 10.8 m/s - Acceleration (a) = Change in velocity (Δv) / Time taken (t) = 10.8 m/s / 9 s = 1.2 m/s^2

2. Calculation of Distance Traveled: - Distance traveled (s) = Initial velocity (u) * Time taken (t) + 0.5 * Acceleration (a) * (Time taken (t))^2 - Distance traveled (s) = 0 m/s * 9 s + 0.5 * 1.2 m/s^2 * (9 s)^2 = 0 m + 0.5 * 1.2 m/s^2 * 81 s^2 = 0 m + 48.6 m = 48.6 m

Therefore, when lifting the load using the crane, the acceleration is 1.2 m/s^2 and the distance traveled is 48.6 meters.