Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

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

Q: A student drops a ball from a height of 5 m. Neglecting air resistance, how long does it take to hit the ground?

$$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 5}{9.8}} \approx 1.01\ \mathrm{s}$$

Q: A student lifts a 10 kg box to a shelf 2 meters high. How much work is done against gravity?

$$W = mgh = 10 \times 9.8 \times 2 = 196\ \mathrm{J}$$

Question 1

Which of the following best describes the concept of inertia as introduced in introductory physics?

Accepted Answer

The tendency of an object to resist changes in its state of motion.

Question 2

A car of mass $$m is $$moving at velocity $$v$$ and comes to a stop due to friction. Which equation best represents the work done by friction to stop the car?

Accepted Answer

$$W = \frac{1}{2} m v^2$

Question 3

Which of the following is NOT a vector quantity?

Accepted Answer

Speed

Question 4

A ball is thrown vertically upward with an initial velocity $$v_0. $$Neglecting air resistance, what is the velocity of the ball when it returns to its starting point?

Accepted Answer

$$-v_0$

Question 5

Which equation correctly relates force, mass, and acceleration according to Newton's Second Law?

Accepted Answer

$$F = m a$$

Question 6

A student pushes a box across a horizontal floor with a constant velocity. Which statement is true about the forces acting on the box?

Accepted Answer

The force of the push is equal in magnitude and opposite in direction to the force of friction.

Question 7

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$What is the formula for its maximum height?

Accepted Answer

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

Question 8

Which of the following statements about energy conservation in an isolated system is correct?

Accepted Answer

The total energy remains constant over time.

Question 9

A car traveling at 20 m/s crashes into a wall and comes to a stop in 0.1 seconds. What is the average acceleration experienced by the car?

Accepted Answer

$$a = \frac{0 - 20}{0.1} = -200\ \mathrm{m/s^2$}$$

Question 10

Which of the following best describes the difference between elastic and inelastic collisions?

Accepted Answer

Elastic collisions conserve both kinetic energy and momentum, while inelastic collisions conserve only momentum.

Question 11

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

Accepted Answer

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

Question 12

Which of the following is the correct formula for the period $$T of a $$simple pendulum of length $$L$$?

Accepted Answer

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

Question 13

A student drops a ball from a height of 5 m. Neglecting air resistance, how long does it take to hit the ground?

Accepted Answer

$$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 	imes 5}{9.8}} \approx 1.01\ \mathrm{s}$$

Question 14

Which of the following is a correct statement about the conservation of momentum in a closed system?

Accepted Answer

The total momentum before an interaction is equal to the total momentum after the interaction.

Question 15

A ball is attached to a string and swung in a horizontal circle at constant speed. What force acts towards the center of the circle?

Accepted Answer

Centripetal force

Question 16

A student lifts a 10 kg box to a shelf 2 meters high. How much work is done against gravity?

Accepted Answer

$$W = mgh = 10 	imes 9.8 	imes 2 = 196\ \mathrm{J}$$

Question 17

Which of the following is the correct expression for kinetic energy?

Accepted Answer

$$KE = \frac{1}{2} m v^2$

Question 18

A car of mass $$m$$ moving at velocity $$v$$ collides and sticks to a stationary truck of mass $$M. $$What is their final velocity after the collision?

Accepted Answer

$$v_f = \frac{m v}{m + M}$$

Question 19

Which of the following best describes the role of Mastering Physics in this course?

Accepted Answer

It is used for homework assignments and between-class assessments, contributing 15% to the final grade.

PHYS 1400: Introductory Physics I – Syllabus and Course Structure

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