tutorial sheet 6

# tutorial sheet 6 - PAP111/PHYS1A Claus-Dieter Ohl Tutorial...

• Notes
• 2

This preview shows pages 1–2. Sign up to view the full content.

PAP111/PHYS1A Tutorial Sheet 6 29 th of September 2010 Claus-Dieter Ohl 1 The power is defined as the time rate of energy transfer. The instantaneous power P =d E /d t can also expressed as the scalar product F · v . Why? 1) Power ful car A car with mass m having an automatic gear box accelerates from rest with a constant power P . Determine and sketch the position x ( t ), the velocity v ( t ), and the acceleration a ( t ). How long does a car with mass m = 1000 kg applying a power P of 100 kW to reach a velocity of 100 km/h. Hint: You need to solve an ordinary differential equation. Use a trial solution v ( t ) = A t 1/2 , where A is a constant. 2) Slider on a sphere A point mass m starts from rest and slides down the surface of a frictionless solid sphere of radius r as in shown in the figure. Measure angles from the vertical and potential energy from the top. Find a) the change in potential energy of mass with angle; b) the kinetic energy as a function of angle; c) the radial and tangential accelerations as a function of angle; d) the angle at which the mass flies off the sphere.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Fall '10
• Claus-DieterOhl
• Force, 20.0 cm, 1.24 m/s, 30.0 kg, 40.0 cm, 20.0 kg

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern