🔭 physics

1. **Problem stated:** Draw a car and give a physics example using it, like torque. 2. **Torque formula:** The basic formula for torque is $$\tau = rF\sin(\theta)$$.

1. **Problem:** Describe how a buoy anchored to the ocean floor moves as a wave passes by. 2. **Understanding wave motion:** Ocean waves are typically surface waves that cause wate

1. **Problem 1: Calculate the speed in Km/h of a runner who runs 100 m in 9.58 s.** 2. The formula for speed is $$V = \frac{e}{t}$$ where $e$ is distance and $t$ is time.

1. **Problem:** An engineer is testing a new free-fall ride with mass $m=500$ kg dropping from height $h=40$ m. 2. **Energy types halfway down and at the bottom:**

1. **State the problem:** We want to understand what happens to Earth's orbit if it is moved farther from the Sun in a simulation. 2. **Relevant concept:** According to Kepler's Th

1. **Problem statement:** Why does the Moon stay in orbit instead of falling to Earth? 2. **Explanation:** The Moon stays in orbit because it is moving forward with a tangential ve

1. **State the problem:** We are given the pressure function $$P(n) = P_0 e^{-\frac{\lambda n}{h}}$$ where $$P_0 = 1 \times 10^5$$ Pascals, $$\lambda = 6.2 \times 10^4$$, and $$h =

1. **State the problem:** We have coffee initially at $T_0 = 205^\circ$F placed in a room at ambient temperature $T_A = 72^\circ$F. After 10 minutes, the coffee temperature is $195

1. **State the problem:** We have data of potential difference (voltage) $V$ and current $I$ for a resistor. We need to plot the data and calculate the resistance $R$. 2. **Formula

1. The problem asks which graph shows a load with greater resistance based on V-I (voltage-current) graphs. 2. The formula relating voltage $V$, current $I$, and resistance $R$ is

1. **State the problem:** We need to find the walking speed $s$ of an individual using the formula $$s = \frac{0.78 \cdot l^{1.67}}{h^{1.17}}$$ where $l$ is stride length and $h$ i

1. **State the problem:** A hollow cylinder rolls up an incline with initial velocity $4.20$ m/s and reaches a vertical height of $1.00$ m. A hollow sphere with the same mass and r

1. **State the problem:** Two resistors $a$ and $b$ are connected in parallel. The total resistance $R$ is given by the formula $$R = \frac{1}{\frac{1}{a} + \frac{1}{b}}.$$ We know

1. **Problem Statement:** Calculate the thermal energy needed to generate 2143 MWh of electrical energy given 35% efficiency.

1. **Énoncé du problème :** Deux villes A et B sont distantes de 42 km sur un fleuve. Un bateau fait la navette entre ces deux villes.

1. **Convert -40°C to Fahrenheit** The formula to convert Celsius to Fahrenheit is:

1. **Stating the problem:** Convert temperatures between Fahrenheit (°F) and Celsius (°C) for given thermometers and specific values. 2. **Formulas used:**

1. **State the problem:** We have a barbell with two balls of mass $m=0.4$ kg at the ends of a rod of length $d=0.28$ m. Two forces of equal magnitude $F$ act on the balls in oppos

1. **Stating the problem:** We are given the formula for the speed of a tsunami: $$s = \sqrt{g \times d}$$ where $s$ is speed in metres per second, $d$ is ocean depth in metres, an

1. The problem asks for the average velocity of an object between 4 seconds and 10 seconds. 2. Average velocity is calculated using the formula:

1. The problem asks: During what time interval is the object stopped? 2. To determine when the object is stopped, we look for when the velocity is zero because velocity zero means