A ramp is inclined at an angle of 31° with the horizontal. You release a thin spherical shell of radius 0.30 m and it rolls without slipping, down the ramp for a distance L. If the mass of the shell is 1.5 kg, and its angular speed when it reaches the end of the ramp is 28.8 rad/s, what is the value of L, in meters?

Why does the input force have to be greater than the force needed to lift the bale?

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. this process was repeated by 3 observers. the pooled standard deviations of these 3 data sets was 1.21. determine the true mean force using all pooled data (with a 95% probability). the result should look like this: true mean = mean +/- margin of error

Which of the following changes will increase the capacitance of a parallel-plate capacitor? (there could be more than one correct choice.) a) increase the charge on the plates b) decrease the poten5al between the plates c) increase the potential between the plates d) introduce a dielectric material between the plates e) decrease the separation between the plates