2. 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/
Please explain in very simple terms.
The horizonal component of force is 60*cos41
b) horizontalforce=mass*horizontial acceleration
solve for horizonal acceleration
c) distance=vi*time+1/2 acceleration*time^2
a) To find the horizontal component of the force that Tyler is applying, we need to find the cosine of the angle between the rope and the horizontal. The horizontal component of the force is equal to the force Tyler is applying multiplied by the cosine of the angle.
Horizontal component = Force * Cos(angle)
So, in this case, the horizontal component of the force would be:
Horizontal component = 60N * Cos(41 degrees)
b) To find the acceleration of the box and ferrets, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the net force is the horizontal component of the force that Tyler is applying.
Acceleration = Horizontal component of the force / Mass
So, in this case, the acceleration would be:
Acceleration = (60N * Cos(41 degrees)) / 120kg
c) To find how far the box will travel in 8 seconds, we can use the equation of motion:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
In this case, the initial velocity is 15 m/s (given), the time is 8 seconds (given), and the acceleration can be found using the previous step.
Distance = 15 m/s * 8 s + 0.5 * [(60N * Cos(41 degrees)) / 120kg] * (8 s)^2
Simplify the equation and calculate the distance using the given values.