🔭 physics

1. **State the problem:** A ball is projected horizontally from a height of 20 m with an initial horizontal velocity of 10 m/s. We need to find how far from the base of the project

1. **State the problem:** A wheel completes 120 revolutions in 2 minutes. We need to find the angular velocity in radians per second. 2. **Formula:** Angular velocity $\omega$ is g

1. **State the problem:** A wheel completes 120 revolutions in 2 minutes. We need to find the angular velocity in revolutions per second (N/s). 2. **Formula:** Angular velocity $\o

1. **State the problem:** We need to calculate the density of oxygen gas given its mass and volume. 2. **Recall the formula for density:**

1. The problem is to verify the substitution into the wave equation and understand the simplification step. 2. The wave equation given is:

1. Let's start by stating the problem: You want to solve a physics-related question. Since the exact problem is not specified, I'll explain a common physics formula and how to use

1. **Problem Statement:** Convert a speed of 54 km/h to meters per second (m/s). 2. **Formula Used:** To convert km/h to m/s, multiply the speed by \(\frac{5}{18}\).

1. **State the problem:** We need to find the greatest number $n$ of six-volt batteries connected to a circuit with resistance $R=500$ ohms such that the current $I$ does not excee

1. **Problem statement:** We have five capacitors $C_1, C_2, C_3, C_4, C_5$ in a circuit. Capacitors $C_2, C_3, C_4,$ and $C_5$ each have a charge of $6.0\ \mu C$. The potential dr

1. Let's first understand the problem: We want to find how fast it would take to cover the distance of the whole circumference of the universe, which is not fixed and is changing o

1. **State the problem:** We have two trains moving in the same direction with speeds 11 km/hr and 12 km/hr. We need to find their relative speed. 2. **Formula and concept:** When

1. Problem (ii): Given the time $T = 2$ ms, find the frequency $f$ of the signal. Frequency and time period are related by the formula:

1. The problem is to express the equation $E=mc^2$ in terms of $m$. 2. The formula given is Einstein's mass-energy equivalence formula: $$E=mc^2$$ where $E$ is energy, $m$ is mass,

1. The problem is to calculate the resultant force when multiple forces act on an object. 2. The resultant force is the vector sum of all individual forces acting on the object.

1. **Problem Statement:** We have three forces acting on a bracket: $F_1 = 4$ kN horizontally to the right, $F_3 = 5$ kN vertically downward, and $F_2 = 6$ kN acting at an angle $\

1. **State the problem:** We need to find the resultant force when two forces act at an angle of 30 degrees, and one of the forces, $F_2$, is 6 units. 2. **Formula used:** The magn

1. **State the problem:** Two asteroids attract each other with a gravitational force inversely proportional to the square of the distance between them. Given the force is 6 kN at

1. **Problem Statement:** We have a uniform rod of length 3 m and mass 2 kg hinged at one end. Two loads of 10 kg and 5 kg are attached at 1 m and 2 m from the hinge respectively.

1. **Stating the problem:** We are given a standard deviation $\sigma = 10$, a variable $x$, the mean $\bar{x}$, and the number of repeated measurements. We want to understand the

1. The problem asks to express the product of $1.7 \times 10^6$ watts and $5 \times 10^5$ watts in gigawatts (GW). 2. First, multiply the numbers and powers of ten separately:

1. **State the problem:** We need to express the sum of 25.8 volts (V) and 720.0 megavolts (MV) entirely in volts (V). 2. **Recall the conversion factor:** 1 megavolt (MV) = $10^6$