Question

1.) The speed of an object is known to be 3.0 X 10⁸ m/s. You measure the velocity of the object during an experiment and get a value of 2.65 X 10⁸ m/s. Determine the percent error associated with these two values.

2.) While doing an experiment you measure the length of an object to be 32.5cm. The measuring device that you are using measures to a millimeter. How can you decrease the error associated with your measurement?

3.) An object is traveling in a circle with a fixed mass m = 3 kg & speed v = 5 m/s. The centripetal force is given by the relationship Fc = mv²/r. Plot a graph showing the relationship between Fc and r. Use values of r ranging from 10m to 50m.

4.) Describe how you might measure the period for an oscillating pendulum.

5.) Describe in detail how you might experimentally determine the density of a cylindrical shaped object.

Anything helps, thank you in advance :)

Answer 1

(4) You can measure time period by two methods :

(i) If you know the length of the string, then mathematically you can measure by,

where, g is acceleration due to gravity = 9.81 m/sec^2

(ii) Manually you can count the time taken by one oscillation, you can do this in a better way by taking the total time of n oscillations and then divide this total time by n.

(5) As you might know the density of objects is given as,

where, m is the mass of the object and V is it's volume.

Therefore, for cylindrical objects,

You can measure height(h) and diameter by vernier caliper. And, radius is half of the diameter.