🔭 physics

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

1. **Problem statement:** We have a rectangular solid of carbon with side lengths $L_x = 1.5$ cm, $L_y = 3.8$ cm, and $L_z = 6.0$ cm. The resistivity of carbon is $\rho = 3.0 \time

1. The problem is to understand the concept of a "switch" in an electrical circuit or logic context. 2. A switch is a device that can open or close an electrical circuit, allowing

1. **Problem Statement:** We analyze the displacement of the CN Tower's top during sway, modeled by a sinusoidal curve.

1. The problem asks to calculate the solar constant (Sp value) for Venus in watts per square meter (W m^{-2}). 2. The solar constant Sp for a planet is given by the formula:

1. **State the problem:** Calculate the solar energy flux $S_p$ at Mercury's orbit using the Stefan-Boltzmann law and the inverse square law for radiation spread. 2. **Given data:*

1. **State the problem:** Find the average velocity of a particle moving along the x-axis with velocity function $v(t) = 2 - t^2$ over the time interval from $t=1$ to $t=3$. 2. **F