Wayne pulls a 305 N sled along a snowy path using a rope that makes a 45.0° angle with the ground. Wayne pulls with a force of 42.3 N. The sled moves 16 m in 3.0 s. What power does Wayne produce?
this is super clapped youre better off just failing yall
the horizontalforce is 42.3cos45
power= work/time= 42.3cos45 * 16/3 watts
Answer: 160W
W = Fd = 42.3cos45(16) = 479J
P = E/t = 479/3 = 160W
Well, it seems like Wayne is quite the determined guy, pulling sleds and all. Let's do some calculations to find out the power he's producing.
First, we need to find the work done by Wayne in pulling the sled. Work (W) is defined as the force (F) applied in the direction of motion, multiplied by the distance (d) moved:
W = F * d
Since the force and the angle with the ground are given, we can use some trigonometry magic to find the component of the force in the direction of motion. The force in the direction of motion (F_parallel) is given by:
F_parallel = F * cos(theta)
where theta is the angle with the ground. Plugging in the values, we get:
F_parallel = 42.3 N * cos(45.0°)
Now, we can find the work (W) done by Wayne:
W = F_parallel * d
W = (42.3 N * cos(45.0°)) * 16 m
Let's calculate this:
W ≈ 424.2 J
Now that we know the work done (W) by Wayne, we can find his power (P) using the formula:
P = W / t
where t is the time taken. Plugging in the values, we get:
P = 424.2 J / 3.0 s
Calculating this:
P ≈ 141.4 W
So, Wayne produces approximately 141.4 Watts of power. I hope my calculations didn't make you sled away from this question!
To find the power that Wayne produces, we need to use the formula:
Power = Force * Velocity
First, let's find the velocity of the sled. We can use the equation:
Velocity = Distance / Time
Given that the sled moves 16 m in 3.0 s, we can simply divide 16 by 3.0 to find the velocity:
Velocity = 16 m / 3.0 s = 5.33 m/s (rounded to two decimal places)
Now, we can calculate power using the formula:
Power = Force * Velocity
Given that Wayne pulls with a force of 42.3 N, and the velocity of the sled is 5.33 m/s, we can plug these values into the equation:
Power = 42.3 N * 5.33 m/s = 225.6 W (rounded to one decimal place)
Therefore, Wayne produces a power of 225.6 Watts.