K A Tsokos Solutions for Chapter: Measurement and Uncertainties, Exercise 1: Test yourself

The frequency $f$ of the oscillation of the mass $m$ attached to a spring constant $k$ is related to $m$ and $k$. by writing $f = a{m}^x{k}^y$ and matching units both sides, show that$f = c\sqrt{\frac{k}{m}}$, where $c$ is dimensionless constant.

A block of mass 1.2kg is raised at a vertical distance of 5.55m in 2.450s. Calculate the power delivered. (in W)

Find the kinetic energy of a block of mass 5.00 kg moving at a speed of 12.5 m/s. (in J)

Without using a calculator, estimate the value of the following expression. Then compare your estimate value found using a calculator.

$\frac{243}{43}$

Without using a calculator, estimate the value of the following expression. Then compare your estimate value found using a calculator.

$2.80\times 1.90$

Without using a calculator, estimate the value of the following expression. Then compare your estimate value found using a calculator.

$312\times \frac{480}{160}$

Without using a calculator, estimate the value of the following expression. Then compare your estimate value found using a calculator.

$\frac{8.99\times {10}^9\times 7\times {10}^{-16}\times 7\times {10}^{-6}}{{\left(8\times {10}^2\right)}^2}$

Without using a calculator, estimate the value of the following expression. Then compare your estimate value found using a calculator.

$\frac{6.6\times {10}^{-11}\times 6\times {10}^{24}}{{(6.4\times {10}^6)}^2}$