Question 1

A ball is thrown vertically upward with an initial velocity of $$v_0. $$Neglecting air resistance, what is the maximum height $$h_{max}$$ reached by the ball?

Accepted Answer

$$h_{max} = \frac{v_0$^2}{2g}$$

Question 2

A car of mass $$m$$ accelerates from rest under a constant force $$F on a $$frictionless surface. What is the velocity $$v of $$the car after traveling a distance $$d$$?

Accepted Answer

$$v = \sqrt{\frac{2Fd}{m}}$$

Question 3

A block slides down a frictionless incline of height $$h. $$What is its speed at the bottom?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 4

A rotating disk has a moment of inertia $$I$$ and angular velocity $$\omega. $$What is its rotational kinetic energy?

Accepted Answer

$$K = \frac{1}{2}I\$$omega^2$$

Question 5

A cylindrical blood vessel with radius $$r$$ and length $$L$$ carries blood with viscosity $$\eta$$ under a pressure difference $$\Delta P. $$According to Poiseuille’s law, what is the volumetric flow rate $$Q$$?

Accepted Answer

$$Q = \frac{\pi r^4$ \Delta P}{8 \eta L}$$

Question 6

Which equation describes the pressure variation with height in the atmosphere (barometric equation)?

Accepted Answer

$$P = P_0$ e$$^{-\frac{mgh}$${kT}}$$

Question 7

A sphere of radius $$r$$ falls through a viscous fluid. According to Stokes’ law, what is the drag force $$F_d$$ acting on the sphere?

Accepted Answer

$$F_d = 6 \pi \eta r v$$

Question 8

Which of the following best describes the relationship between surface tension $$\gamma$$, force $$F$$, and length $$L$$?

Accepted Answer

$$\gamma = \frac{F}{L}$$

Question 9

A patient’s blood pressure is measured as 120/80 mmHg. What is the pressure difference $$\Delta P in $$pascals between systolic and diastolic pressure? (1 mmHg = 133.3 Pa)

Accepted Answer

$$\Delta P = 5332 Pa$$

Question 10

A gas undergoes an isothermal expansion at temperature $$T. $$What is the work done by the gas if it expands from volume $$V_i to$$ $$V_f$$?

Accepted Answer

$$W = nRT \ln \left( \frac{V_f}{V_i} \right)$$

Question 11

Which equation describes the diffusion flux $$J$$ according to Fick’s first law?

Accepted Answer

$$J = -D \frac{dC}{dx}$$

Question 12

A pendulum of length $$L$$ swings with small amplitude. What is its period $$T$$?

Accepted Answer

$$T = 2\pi \sqrt{\frac{L}{g}}$$

Question 13

A solid rod of length $$L$$ and cross-sectional area $$A is $$subjected to a force $$F. $$What is the resulting strain $$\epsilon$$?

Accepted Answer

$$\epsilon = \frac{\Delta L}{L}$$

Question 14

Which of the following best describes the Reynolds number $$Re$$ for fluid flow?

Accepted Answer

$$Re = \frac{\rho v D}{\eta}$$

Question 15

A patient has an aneurysm that increases the radius of a blood vessel by a factor of 2. By what factor does the flow rate change, assuming all other variables remain constant?

Accepted Answer

The flow rate increases by a factor of 16.

Question 16

Which equation gives the osmotic pressure $$\Pi$$ for a dilute solution?

Accepted Answer

$$\Pi = iMRT$$

Question 17

In Perrin’s experiment, which physical phenomenon was used to estimate Avogadro’s number?

Accepted Answer

Brownian motion

Question 18

A metal rod is heated from temperature $$T_1 to$$ $$T_2. $$What is the amount of heat $$Q$$ absorbed if the specific heat capacity is $$c$$ and mass is $$m$$?

Accepted Answer

$$Q = mc(T_2$ - T_1$)$$

Question 19

A ball of mass $$m$$ moving at velocity $$v$$ collides elastically with a stationary ball of equal mass. What is the velocity of the first ball after the collision?

Accepted Answer

0

Physics Study Notes: Mechanics, Fluids, and Thermodynamics

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