Wayne exerts a force of 70
.
9 N to pull a 409 N
sled along a snowy path using a rope that
makes a 48
◦
angle with the ground. The sled
moves 19
.
9 m in 4
.
3 s.
What is Wayne’s power?
Answer in units of W.
dont do it just fail
Power=Fx * d/t = 70.9*Cos48 * 19.9/4.3 =
Note: J/s = Watts.
To find Wayne's power, we can use the formula for power:
Power (P) = Force (F) * Velocity (V)
First, let's find the horizontal component of the force exerted by Wayne, which is given by:
Force (F_horizontal) = Force (F) * cos(angle)
Here, the angle is given as 48 degrees. We need to convert it to radians:
Angle (in radians) = 48 degrees * (π / 180 degrees)
Next, let's calculate the horizontal component of the force:
F_horizontal = 70.9 N * cos(48 degrees)
Now, let's find the work done by Wayne, which is given by:
Work (W) = Force (F_horizontal) * Distance (d)
Here, the distance is given as 19.9 m.
Work (W) = F_horizontal * 19.9 m
Now, we can calculate Wayne's power:
Power (P) = Work (W) / Time (t)
Here, the time is given as 4.3 s.
Power (P) = Work (W) / 4.3 s
By substituting the values we calculated earlier:
Power (P) = (70.9 N * cos(48 degrees) * 19.9 m) / 4.3 s
Calculating this expression will give us the value of Wayne's power in watts.
To find Wayne's power, we need to use the formula for power:
Power = Force × Distance ÷ Time
1. Step 1: Calculate the horizontal component of the force.
The force applied by Wayne is 70.9 N, and the angle with the ground is 48°. To find the horizontal component of the force, we need to calculate the cosine of the angle.
Horizontal component of the force = Force × cos(angle)
Horizontal component of the force = 70.9 N × cos(48°)
2. Step 2: Calculate the work done.
The work done is equal to the force multiplied by the distance.
Work = Force × Distance
Work = Horizontal component of the force × Distance
Work = (70.9 N × cos(48°)) × 19.9 m
3. Step 3: Calculate the power.
The power is equal to the work done divided by the time.
Power = Work ÷ Time
Power = [(70.9 N × cos(48°)) × 19.9 m] ÷ 4.3 s
Now, let's calculate Wayne's power using these formulas.