🔭 physics

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.

1. **State the problem:** A ball bounces to a height of 3 meters initially, and each subsequent bounce reaches a height 10% lower than the previous one. We need to find the total h

1. لنبدأ بتعريف قانون المحصلة. 2. قانون المحصلة في الفيزياء ينص على أن المحصلة (المجموع) لمجموعة من المتجهات تساوي متجهًا واحدًا يمثل مجموع هذه المتجهات.

1. **State the problem:** We have a force $F = 5$ newtons acting on a charge $q = 6$ microcoulombs at a point. We need to find the electric field $E$ and intensity at that point.

1. The problem asks whether the number 1 is moving towards or away from a charge. 2. To answer this, we need to understand the context: is 1 representing a charge, a point, or a va

1. **Problem 1:** Mika's sweater charges her body, and a lint piece with charge $1.60 \times 10^{-19}$ C experiences a force of $3.2 \times 10^{-9}$ N. Find the electric field at t

1. **State the problem:** We are given a charge $q = 6\ \mu C = 6 \times 10^{-6}\ C$ and a force $f = 2.4 \times 10^{-4}\ N$. We want to find the electric field $E$.