🔭 physics

1. **State the problem:** A car travels 150 m at 63° North of East, then 300 m at 34° South of West. We need to find the total displacement. 2. **Formula and approach:** Displaceme

1. The problem states: Two forces of magnitudes $3$ and $5$ newton act at a point with an included angle of $60^\circ$. Find the magnitude of their resultant force. 2. The formula

1. **Problem statement:** Given the velocity equation $$v = \sqrt{P + \frac{1}{x^n}}$$ where $P$ is pressure, find the dimensions of $n$ and $x$. 2. **Recall dimensions:** Velocity

1. **State the problem:** We have a 30V battery connected in series with a 3Ω resistor, followed by four resistors in parallel with resistances 3Ω, 4Ω, 5Ω, and 6Ω. We need to find

1. **Problem statement:** A spherical conducting shell has a net charge of +20 C. A point charge of -10 C is placed at the center of the shell. We need to find the charge on the (a

1. **State the problem:** Light is incident on crown glass at an angle of $45.0^\circ$. We need to find the angle of refraction inside the glass. 2. **Formula used:** Snell's Law s

1. The problem is to understand the meaning of the word "faster" in a mathematical or physics context. 2. "Faster" generally means having a greater speed or rate of change.

1. The problem is to find the total charge when adding the charges of five particles, each represented by a blank parenthesis with either +1 or -1 charge. 2. Each proton has a char

1. **Problem:** An alternating current has a periodic time of 25ms and a maximum value of 20A. When time $t=0$, current $i=-10$ amperes. Express the current $i$ in the form $i = A

1. The problem is to understand the basic formulas of geometric optics and their applications. 2. Geometric optics deals with the behavior of light in terms of rays. The main formu

1. **Problem statement:** A point charge $q = -2.5$ C is moved from point B to point A without acceleration, gaining 1 J in potential energy. We need to find the potential differen

1. **Problem statement:** We have an electric field $E = 9$ V/m directed in the negative $y$-direction. We want to find the potential difference $V_{AB} = V_A - V_B$ between points

1. **State the problem:** We need to find the vector expression for the tension $\mathbf{T}$ in cable AB with magnitude 2.4 kN, acting on member AD, and also find the magnitude of

1. The problem involves analyzing the effect of a 25 N upward force on an object. 2. To understand the impact, we use Newton's second law: $$F_{net} = ma$$ where $F_{net}$ is the n

1. **Problem statement:** A uniform rod AB of length 10 m and weight 45 kg-wt has two vertical forces $F_1$ (upward) and $F_2$ (downward) acting on it, along with its weight acting

1. **State the problem:** We have two forces acting at right angles (90°) with a resultant of 10 kN, and the same two forces acting at an angle of 60° with a resultant of 12 kN. We

1. **State the problem:** A rotating portal has an initial moment of inertia $I_1 = 6.0$ kgm$^2$ and initial angular velocity $\omega_1 = 1.5$ rad/s. It shrinks so that its moment

1. **Problem statement:** A rotating ring (portal) has an initial moment of inertia $I_1=6.0$ kgm$^2$ and initial angular velocity $\omega_1=1.5$ rad/s. It shrinks, reducing its mo

1. **Problem statement:** A load weighing 120 N is raised a distance of 4 cm by a machine. The worker exerts a force of 50 N through a distance of 12 cm.

1. **State the problem:** Calculate the value of $\frac{100\text{ m}}{26\text{ s}}$ and include units in the answer. 2. **Formula used:** This is a division of distance by time, wh

1. **State the problem:** We want to find the number of seconds in which the number of clicks heard equals the speed of the train in miles per hour.