The time period of the simple pendulum is given as follows: T=25₁√ == g Q. In the simple pendulum experiment, the time period is measured as 30±0.2 s, the length of the pendulum is measured as 30 cm with 1 mm accuracy. Find the percentage error in the measurement of the acceleration due to gravity. O 2.0% O 4.69% O 4.0% 5.0%

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

A series of four measurements of g are made in the physics lab. The results of these measurements in ms2/ are: 9.63, 9.58, 9.71, 9.68. The average of these four measurements is the experimental value of g and the accepted value is 9.80 ms2/. What is the percent error of these measurements?

Given u = −7i − 5j and v = −10i − 9j, what is projvu?  a −9.937i − 8.943j  b −6.956i − 4.968j  c −6.354i − 5.718j  d −4.448i − 3.177j

An engineer uses a stopwatch to measure the duration of an event. The digital stopwatch reading shows 0.77 s. (a) What uncertainty is implied by the reading itself without any other knowledge? (b) Suppose the stopwatch manufacturer specifications state an error of up to 1% of the reading. What value of uncertainty might you state with the reading? (c) Suppose the engineer adds an uncertainty of 0.05 s due to reaction time. What uncertainty might you state with the reading?