🔭 physics

1. **Problem 7:** A particle of charge 1.8 μC is at the center of a Gaussian cube 55 cm on edge. Find the net electric flux through the surface. 2. **Formula:** According to Gauss'

1. **Problem 7:** A particle of charge 1.8 μC is at the center of a Gaussian cube 55 cm on edge. Find the net electric flux through the surface. 2. **Formula:** According to Gauss'

1. **Problem statement:** Given forces $F_1$, $F_2$, and $F_3$ with the relation $$F_3 = 2F_2 = 3F_1,$$ and distances along the beam segments $AB=5$ cm, $BC=3$ cm, and $CD=4$ cm, w

1. **Problem statement:** Prove that $\lambda' - \lambda = \lambda_c (1 - \cos \theta)$. 2. **Understanding the terms:** Here, $\lambda'$ is the wavelength after scattering, $\lamb

1. The problem is to understand and apply Gauss's Law in electromagnetism. 2. Gauss's Law states that the total electric flux $\Phi_E$ through a closed surface is equal to the char

1. **Problem 1: Brittney's run around the track** Brittney runs 400 m around a track and ends up at the starting point.

1. **Problem statement:** Three particles q1, q2, and q3 are placed along the x-axis with distances 2 cm between q1 and q2, and 2 cm between q2 and q3.

1. The problem is to determine if the distance is 500 km. 2. To verify this, we need the context or formula used to calculate the distance.

1. **Problem:** Determine the total mechanical energy of a 1000 kg car parked on top of a 30 m hill. 2. **Formula:** Total mechanical energy $E = PE + KE$ where $PE = mgh$ and $KE

1. **State the problem:** We have an auditorium with dimensions 40.0 m by 20.0 m by 12.0 m. We want to find:

1. **State the problem:** We need to calculate the density of lead in SI units (kilograms per cubic meter) given its mass and volume. 2. **Formula for density:** Density $\rho$ is

1. **State the problem:** We want to make $g$ the subject of the formula $$T = 2\pi \sqrt{\frac{l}{g}}.$$ 2. **Start with the given formula:**

1. **State the problem:** We are given the formula for the period of a pendulum: $$T = 2\pi \sqrt{\frac{l}{g}}$$

1. **Problem 3.1:** Given position $x = 3t^2 + 2t + 10$ m, find positions at $t=0,1,2,3,4,5$ and average speed between $t=0$ and $t=2$. 2. Use the formula for position substitution

1. **Problem 3.1:** Given position $x = 3t^2 + 2t + 10$ m, find positions at $t=0,1,2,3,4,5$ and average speed between $t=0$ and $t=2$. 2. Use the formula for position and substitu

1. Problem: The work done in lifting a sack of sugar with a mass of 40,000 g is 250 J. How high is it lifted? 2. Formula: Work done by lifting an object is given by $$W = mgh$$ whe

1. Problem 3.1: Given position $x = 3t^2 + 2t + 10$ m, find positions at $t=0,1,2,3,4,5$ and average speed between $t=0$ and $t=2$. 2. Use the formula for position substitution: $x

1. **Planteamiento del problema:** Queremos encontrar la magnitud de la tensión $T$ en el cable para que el cuerpo esté en equilibrio.

1. **Problem Statement:** A fossilized leaf contains 70% of its normal amount of carbon-14. We need to find how old the fossil is, given the half-life of carbon-14 is 5730 years.

1. **State the problem:** We need to find the linear speed of a belt in centimeters per second, expressed exactly in terms of $\pi$. 2. **Understand the relationship:** The linear

1. **State the problem:** We are given a larger wheel with radius $R=88$ cm rotating at 210 revolutions per minute (rpm). We need to find its angular speed in radians per second.