🔭 physics

1. **Problem (a):** Given the displacement $x = Bt^2$, find the dimensions of $B$. 2. **Step 1:** Recall that displacement $x$ has dimensions of length $[L]$.

1. **State the problem:** We need to find the actual speed and direction of an airplane flying with a velocity of 580 mph headed S 55° W, while there is a wind blowing from the sou

1. **State the problem:** Two men pull a tree stump with forces of 700 N and 850 N at a 40° angle between them. We need to find the resultant force. 2. **Formula used:** The result

1. The problem is to understand and use the equation of motion: $$v^2 = u^2 + 2as$$ where $v$ is the final velocity, $u$ is the initial velocity, $a$ is the acceleration, and $s$ i

1. **State the problem:** Marta dropped an item from the top of the Leaning Tower of Pisa with an initial speed $u=0$ m/s. The final speed $v$ after falling is 33 m/s, and the time

1. **State the problem:** We are given an object dropped from rest (initial speed $u=0$ m/s) falling down a distance $s=43$ m in time $t=4.4$ s with final speed $v$ unknown.

1. **Stating the problem:** We have a vector of length 6 units that makes an angle of 30° with the y-axis. We need to find its coordinates. 2. **Formula and explanation:** The vect

1. **State the problem:** Ken made a wooden door stop shaped like a triangular prism with legs 7 cm and 15 cm, length 4 cm, and weight 155.4 grams. We need to find which wood type

1. **State the problem:** We need to find the mass of helium gas required to fill the space between two cylinders: a large cylinder with radius 7 m and height 15 m, and a smaller c

1. **State the problem:** We need to find the value of $v$ using the formula $v = u + 10t$ when $u = -23$ and $t = 7$. 2. **Write the formula:** The formula given is:

1. **Problem Statement:** We are given the frequency and wavelength ranges for visible light colors and asked to analyze or solve a problem related to these values.

1. **Stating the problem:** We have four forces: $7\mathbf{i} - 2\mathbf{j}$, $-6\mathbf{i} + 5\mathbf{j}$, $3\mathbf{i} + 6\mathbf{j}$, and $a\mathbf{i} + b\mathbf{j}$. Their resu

1. **State the problem:** We are given Kepler's third law which states that the square of the period $P$ of a planet is proportional to the cube of its average distance $d$ from th

1. **Problem statement:** A constant current flows through a long straight vertical wire. A Hall probe is placed at a distance $r$ from the wire's center. (i) Explain why rotating

1. **Problem statement:** A horseshoe magnet produces a uniform magnetic field of flux density $B$ between its poles. A wire XY of length 4.4 cm is placed horizontally and normal t

1. **State the problem:** We need to find the average speed of an airplane that flies 700 meters in 3 \frac{1}{3} seconds. 2. **Formula:** Average speed is given by the formula:

1. **Problem Statement:** For Q1, we need to identify which velocity-versus-time graph corresponds to the given acceleration-versus-time graph where acceleration is zero initially,

1. **State the problem:** We need to find the normal reaction force acting on a roller coaster at the top of a vertical circular loop.

1. **State the problem:** An object starts from rest and accelerates at $4$ meters per second squared. We need to find its velocity after $10$ seconds. 2. **Formula used:** The vel

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. **Problem:** Use dimensional analysis to find the exponents $a$, $b$, and $c$ in the formula $$t = K G^a M^b R^c,$$ where $t$ is time, $G$ is the gravitational constant, $M$ is