1. Tyler pulls a box full of baby ferrets across the floor by means of a rope that is tied to the box. The rope makes an angle of 41 degrees with the horizontal and tyler pulls on the rope with a force of 60N.

a)What is the horizontal component of the force that tyler is applying?
b)If the box and ferrets have a mass of 120kg, and are on a frictionless surface, what is the acceleration of the box and ferrets?
c) if the box was traveling at 15m/s when the force was first applied, how far will the box travel in the following 8 seconds/

see other post.

a) To find the horizontal component of the force Tyler is applying, we need to calculate the cosine of the angle between the rope and the horizontal direction. The formula is:

horizontal component = force * cos(angle)

Substituting the given values into the formula:

horizontal component = 60N * cos(41°)
horizontal component ≈ 45.67N

b) Since the surface is frictionless, the only force acting on the box and ferrets is the horizontal component of the force Tyler is applying. This force will cause the box and ferrets to accelerate.

We can use Newton's second law of motion to find the acceleration:

force = mass * acceleration

Rearranging the equation to solve for acceleration:

acceleration = force / mass

Substituting the given values into the equation:

acceleration = 45.67N / 120kg
acceleration ≈ 0.38 m/s²

c) To find how far the box will travel in 8 seconds, we can use the equations of motion. Since we know the initial velocity and acceleration, we can use the equation:

distance = (initial velocity * time) + (0.5 * acceleration * time²)

Substituting the given values into the equation:

distance = (15m/s * 8s) + (0.5 * 0.38m/s² * (8s)²)
distance ≈ 120m + 12.16m
distance ≈ 132.16m

Therefore, the box will travel approximately 132.16 meters in 8 seconds.