Final answer:
The power of the work done when a baby carriage is pushed by a 25 N force at a 30-degree angle over a distance of 200 m in 80 seconds is approximately 54.13 watts.
Step-by-step explanation:
To find the power of the work done when a baby carriage is pushed, we first need to calculate the work done. The work done by a force applied at an angle is given as the product of the force, the distance moved, and the cosine of the angle between the force and the direction of motion. The force applied in this situation is 25 N at an angle of 30 degrees to the ground, and the carriage is pushed for 200 m.
We calculate work (W) using the formula W = F * d * cos(\u03b8). Here, F = 25 N, d = 200 m, and \u03b8 = 30 degrees, so:
W = 25 N * 200 m * cos(30 degrees) = 25 N * 200 m * (\u221a3/2) = 4330.127 J (joules).
Power (P) is the rate at which work is done, which can be calculated by dividing the work done by the time taken. Time taken (t) is 80 seconds.
P = W / t = 4330.127 J / 80 s = 54.1266 W (watts).