The applied force on the sled is 494.3 N.
Identify the forces acting on the sled:
Applied force (F): The force pulling the sled forward.
Force of gravity (mg): Pulling the sled downwards.
Normal force (N): The upward force exerted by the snow on the sled (equal to mg).
Friction force (f): Opposing the motion of the sled, acting in the opposite direction of the applied force.
2. Apply Newton's Second Law:
F - f = ma
where:
m is the mass of the sled (100 kg)
a is the acceleration of the sled (0.5 m/s^2)
Calculate the friction force:
f = μkN
where:
μk is the coefficient of kinetic friction (0.3)
N is the normal force (mg)
4. Substitute the values and solve for F:
f = 0.3 * (100 kg * 9.81 m/s^2) = 294.3 N
Substitute the friction force back into the first equation:
F - 294.3 N = 100 kg * 0.5 m/s^2
F = 494.3 N