Final answer:
To find the force applied by the linemen, we calculate the force of friction using the coefficient of friction and the normal force, then apply Newton's second law of motion accounting for the force of friction to establish the net force. The linemen's applied force is the sum of the net force derived from acceleration and the opposing force of friction.
Step-by-step explanation:
To determine the force applied to the sled by the linemen, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object times its acceleration (F_net = m × a). However, we must also account for the force of friction, which opposes the direction of the sledding motion given by the equation F_friction = μ × F_normal, where μ is the coefficient of friction and F_normal is the normal force. Since the sled is on a horizontal surface, the normal force is equal to the weight of the sled and coach (F_normal = m × g), where g is the acceleration due to gravity (9.81 m/s²). First, we calculate the force of friction, then use the net force equation to find the force applied by the linemen.
We can start with calculating the force of friction: F_friction = μ × m × g.
× = 0.800
m = 300 kg
g = 9.81 m/s²
F_friction = 0.800 × 300 kg × 9.81 m/s² = 2354.4 N
Now, we use the net force equation: F_net = F_applied - F_friction, where F_applied is the total force applied by the linemen, and F_net is the mass of the sled and coach times the acceleration (m × a).
m = 300 kg
a = 0.580 m/s²
F_net = 300 kg × 0.580 m/s² = 174 N
Finally, we solve for the force applied by the linemen: F_applied = F_net + F_friction = 174 N + 2354.4 N = 2528.4 N.
Therefore, the force applied to the sled by the linemen is 2528.4 N.