(Solved): Please show work! 1. How many significant figures are in each of the following: a. 3.65 b. 3,000,544 ...

1. How many significant figures are in each of the following: a. 3.65 b. $3,000,544.860$ c. 26.30 d. 0.06790 e. 5000 2. Compute the following: a. $(2.98)(152.5)=$ b. $2.98/0.5738=$ c. $2.98+57.239=$ d. $11.968-3=$ 3. The accepted value for the gravitational acceleration constant $g9.78049\mathrm{m}/\mathrm{s}/\mathrm{s}$. A student measures $9.811\mathrm{m}/\mathrm{s}/\mathrm{s}$. calculate the student percent error. 4. Joe and his lab partner obtained the value of $38.4\mathrm{N}/\mathrm{m}$ for the spring constant (k) for their spring. Using a different procedure the second time, they obtained $34.5\mathrm{N}/\mathrm{m}$ for the spring constant $(\mathrm{k})$. Compute the percent difference for the two $\mathrm{k}$ values. 5. Calculate the standard deviation of the following $\mathbf{g}$ measurements: $9.28\mathrm{m}/\mathrm{s}/\mathrm{s},9.37$ $\mathrm{m}/\mathrm{s}/\mathrm{s},9.31\mathrm{m}/\mathrm{s}/\mathrm{s},9.29\mathrm{m}/\mathrm{s}/\mathrm{s}$, and $9.34\mathrm{m}/\mathrm{s}/\mathrm{s}$.