Question
A 1520 kg car in motion rolls down a
frictionless hill that is inclined at
of the car as it reaches the base of the hill?
frictionless hill that is inclined at
of the car as it reaches the base of the hill?
Ask by Macdonald Stewart. in the United States
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The car’s velocity at the base of the hill is approximately 11.8 m/s.
Solution
Step 1: Determine the Acceleration
The acceleration along the slope of a frictionless incline is given by:
where
Calculating:
Step 2: Use the Kinematic Equation
Since the car starts from rest, the initial velocity
Substituting the given values:
Step 3: Calculate the Final Velocity
First, we compute the product:
Thus:
Taking the square root:
Final Answer
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Simplify this solution Bonus Knowledge
To find the velocity of the car when it reaches the base of the hill, we can use the kinematic equation:
Since the car is rolling down from rest, the initial velocity
Calculating it step-by-step:
So, the velocity of the car as it reaches the base of the hill is approximately
Roller coasters operate on similar principles! They start at a height, converting potential energy to kinetic energy, speeding up as they plunge down inclines. It’s physics in action that creates the thrill of a ride!
Want to calculate the speed of another object rolling down a different slope? Remember to take into account gravitational acceleration and the angle of the incline; just alter the angle or distance to see how physics can vary outcomes!
