Final answer:
To calculate the ski tow's velocity, use the formula Velocity = Speed / cos(angle). The tension, acceleration, and height of the slope cannot be determined without additional information such as mass or length.
Step-by-step explanation:
A) To calculate the ski tow's velocity, we can use the formula:
Velocity = Speed / cos(angle)
Given that the rope moves at 12.0 km/h and the angle of the slope is 15 degrees, we can substitute these values into the formula:
Velocity = 12.0 km/h / cos(15 degrees) ≈ 12.26 km/h
B) To determine the slope's tension, we need to consider the forces acting on the ski tow. One force is the weight of the skier and the tow, which can be calculated using:
Tension = Weight * cos(angle)
Since the weight of the skier and the tow is equal to the force of gravity acting on them, we can substitute the mass of the skier and the tow into the equation:
Tension = (Mass * acceleration due to gravity) * cos(angle)
Given that the mass is not specified, we cannot calculate the tension without this information.
C) To find the ski tow's acceleration, we need to consider the forces acting on it. The only force in the direction of motion is the component of the tension in that direction, which can be calculated using:
Acceleration = Tension * sin(angle) / (Mass + tow mass)
If the mass of the skier and the tow is not specified, we will not be able to calculate the acceleration.
D) To measure the slope's height, we can use the trigonometric relationship between the angle of the slope and the ratio of the height to the length of the slope. The formula is:
Height = Length * in(angle)
Given that the length of the slope is not provided, we cannot calculate the height without this information.
Therefore, based on the information given, we can calculate the ski tow's velocity but not the slope's tension, ski tow's acceleration, or the slope's height.