Joe pushes down the length of the handle of a 15 kg lawn spreader. The handle makes an angle of 44.1 degrees with the horizontal. Joe wishes to accelerate the spreader from rest to 1.31 m/s in 1.7s. What force must joe apply to the handle?
To find the force that Joe must apply to the handle, we can use Newton's second law of motion, which states that the force (F) is equal to the mass (m) multiplied by the acceleration (a).
Given:
Mass (m) = 15 kg
Acceleration (a) = (change in velocity) / (time) = (1.31 m/s - 0 m/s) / 1.7 s
First, let's calculate the acceleration:
Acceleration (a) = (1.31 m/s - 0 m/s) / 1.7 s
Acceleration (a) = 0.77 m/s²
Now we can calculate the force:
Force (F) = Mass (m) × Acceleration (a)
Force (F) = 15 kg × 0.77 m/s²
Force (F) = 11.55 N (rounded to two decimal places)
Therefore, Joe must apply a force of approximately 11.55 Newtons to the handle to accelerate the spreader from rest to 1.31 m/s in 1.7 seconds.