Questions
MUF0121 Physics Unit 1 - Semester 2, 2025 8.15 Vertical circular motion
Numerical
A 73.03 kg passenger is in a cabin of a Ferris wheel rotating in a vertical circular path with a constant speed of 10.17 m/s. At the bottom of the circular path, the passenger stands on an electronic balance which is calibrated to a gravitational field strength of 9.81 Nkg-1 . If the Ferris wheel has a radius of 39 m, calculate the reading of the balance in kg.
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
We start by restating the problem in our own words to ensure understanding: a 73.03 kg passenger on a Ferris wheel moving at constant speed v = 10.17 m/s around a circle of radius r = 39 m. At the bottom of the path, the scale reads the normal force N from the rider, which is calibrated to g = 9.81 N/kg. We......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
Which of the following statements is true about the centripetal force acting on a mass m that is executing uniform circular motion? 1. It is perpendicular to the particle's acceleration 2. It is perpendicular to the particle's velocity 3. It is equal to the total tangential force acting on the particle 4. It is equal to the total force pointing towards the center of the circular path 5. All are true
The Excel task Instructions The data below were collected by performing a simple activity: measuring the centripetal force acting on a rotating object at different angular speeds. The equation below shows the relationship between the force ( 𝐹 ) , mass ( 𝑚 ) , velocity ( 𝑣 ) and radius ( 𝑟 ) : 𝐹 = 𝑚 𝑣 2 𝑟 Where: F = centripetal force (N) m = mass (kg) v = velocity (m/s) r = radius of the circular path (m) Transfer the following data to an Excel spreadsheet. Velocity ( 𝑚 𝑠 − 1 ) Force ( 𝑁 ) 0 0 0.5 0.14 1 0.61 1.5 1.42 2 2.47 2.5 3.93 3 5.66 3.5 7.68 4 9.87 In your Excel file, plot force ( 𝐹 ) on the y-axis and velocity ( 𝑣 ) on the x-axis. Include the titles, axis labels, and correct units (3 marks). Is the force proportional to velocity? Explain your observation in the Excel spreadsheet (1 mark). Answer in your Excel spreadsheet using a text box. Use the equation above to linearise the variables 𝐹 and 𝑣 to find the proportional relationship between 𝐹 and 𝑣 . Add the proportional variables to the Excel spreadsheet table (1 mark). Plot the linearised variables on a second graph. On this graph, make sure to put labels, units and a title. Also include a line of best fit and the linear equation, as well as 𝑅 2 (2 marks). What is the gradient value? (1 mark) (Hint: use the second graph's equation to identify the value). Answer in your Excel spreadsheet using a text box. From the gradient value of your linear equation and the equation above, determine the radius of the circular path (r), making sure to write the units in your final answer (1 mark). Assume the mass of the object is 0.5 kg Answer in your Excel spreadsheet using a text box. Note: Please use proper chart formatting, labels, a neat layout, and text boxes for comments and the final answer (1 mark).
A 1 kg object is tied using a string and spun in a vertical circle. The tension of the string varies such that it is zero at the top of the circle. Determine the magnitude of the tension in the string when the object is at the bottom of the circle. Assume that the speed of the object is constant throughout the circular motion.
What provides the centripetal force when a car going round an unbanked corner?
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!