Q: Which of the following is the correct formula for torque?

$$\tau = \mathbf{r} \times \mathbf{F}$$

Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$What is the formula for its horizontal displacement after time $$t$$, neglecting air resistance?

$$x(t) = x_0$ + v_0$ \cos\theta \cdot t$$

Question 1

A ball is thrown horizontally from the top of a 20 m high cliff with an initial speed of 5 m/s. Neglecting air resistance, how far from the base of the cliff does the ball land? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$10.1\ \mathrm{m}$$

Question 2

Which of the following best describes the difference between linear and angular momentum?

Accepted Answer

Linear momentum is associated with translational motion, while angular momentum is associated with rotational motion.

Question 3

A diver jumps off a platform with an initial velocity of $$v_0 = 3$$\ \mathrm{m/s}$$ upward. How high does the diver rise before starting to fall back down? (Use g = 9.8$$\ \mathrm{$$m/s^2$$}$$)

Accepted Answer

$$0.46\ \mathrm{m}$$

Question 4

Which of the following is the correct formula for torque?

Accepted Answer

$$	au = \mathbf{r} 	imes \mathbf{F}$$

Question 5

Which statement about electron energy levels is correct?

Accepted Answer

The number of protons in the nucleus determines the electron energy levels.

Question 6

A spring stretches 0.2 m when a force of 10 N is applied. What is the spring constant $$k$$ according to Hooke's Law?

Accepted Answer

$$50\ \mathrm{N/m}$$

Question 7

Which of the following is NOT a method of heat transfer?

Accepted Answer

Diffusion

Question 8

A 2 kg block is dropped into a fluid with a density of $$1000\ \mathrm{kg/m^3$}. If $$the block displaces 0.001 m³ of fluid, what is the buoyant force acting on it? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$9.8\ \mathrm{N}$$

Question 9

Which formula correctly expresses Bernoulli's Principle for two points in a fluid?

Accepted Answer

$$p_1$$ + \frac{1}{2}\rho $$v_1^2$$ + \rho $$gh_1$$ = $$p_2$$ + \frac{1}{2}\rho $$v_2^2$$ + \rho $$gh_2$$

Question 10

A 500 g piece of metal at $$150^\circC is $$placed in 1 kg of water at $$20^\circC. If $$the specific heat of the metal is $$0.4\ \mathrm{J/(g\cdot ^\circ C)}$$ and water is $$4.18\ \mathrm{J/(g\cdot ^\circ C)}$$, what is the final equilibrium temperature? (Assume no heat loss to surroundings.)

Accepted Answer

$$27.6^\circC$$

Question 11

Which equation represents the relationship for heat transfer due to temperature change?

Accepted Answer

$$Q = mc\Delta T$$

Question 12

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$What is the formula for its horizontal displacement after time $$t$$, neglecting air resistance?

Accepted Answer

$$x(t) = x_0$ + v_0$ \cos	heta \cdot t$$

Question 13

Which of the following best explains why atoms of different elements have different electron energy levels?

Accepted Answer

The attractive force between protons and electrons varies with the number of protons.

Question 14

A fluid column is 0.5 m high with a density of $$800\ \mathrm{kg/m^3$}. $$What is the fluid pressure at the bottom of the column? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3920\ \mathrm{Pa}$$

Question 15

Which of the following is true about the phases of matter?

Accepted Answer

Solids have fixed shape and volume, liquids have fixed volume but variable shape, gases have variable shape and volume.

Question 16

A car of mass 1000 kg moves at 20 m/s. What is its linear momentum?

Accepted Answer

$$20,000\ \mathrm{kg\cdot m/s}$$

Question 17

Which process involves the transfer of heat through direct contact of particles?

Accepted Answer

Conduction

Question 18

A 3 kg object is moving in a circle of radius 2 m at a speed of 4 m/s. What is its angular momentum?

Accepted Answer

$$24\ \mathrm{kg\cdot m^2$/s}$$

Question 19

Which of the following is a correct statement about temperature and heat?

Accepted Answer

Temperature is a measure of the average kinetic energy of particles, while heat is energy transferred due to temperature difference.

Physics MT2 Review: Mechanics, Thermodynamics, and Fluid Dynamics

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