🔭 physics

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) = $10^6$

1. **Problem Statement:** A bullet is shot upwards with an initial velocity of 200 ft/sec from a point 30 ft above the ground. Its height at time $t$ seconds is given by the quadra

1. Задачата е да изведем закона за кинетичната енергия, като използваме дадените формули: $A=F \cdot s$, $F=m \cdot a$, $s=v_0 t + \frac{a t^2}{2}$, $v=v_0 + a t$. 2. Започваме с р

1. The problem involves understanding the expression $\frac{\sqrt{3} a}{2}$ and its context in a physics or algebraic setting, possibly related to forces or distances. 2. The expre

1. **Problem statement:** We want to find the electric field $E$ at point $P$ located a distance $h=20.0$ cm above the center of a charged infinite sheet with surface charge densit

1. **Problem Statement:** We have two parallel, non-conducting plates in air with surface charge densities $\sigma_1 = -5.0 \times 10^{-6}$ C/m$^2$ (plate 1) and $\sigma_2 = -6.0 \

1. **Problem:** A skateboarder moves straight along a sidewalk and covers 24 meters in 6 seconds. Find his horizontal velocity. 2. **Formula:** Velocity $v = \frac{\text{displaceme

1. Problem 1: Calculate the specific heat capacity of a metal block heated by an electric coil. 2. Given:

1. **بيان المسألة:** لدينا شحنات كهربائية مرتبة على خط، ونريد فهم التوزيع والمسافات بينها.

1. The problem asks about the energy transformation when gasoline is used in a car. 2. Gasoline contains chemical energy, which is converted by the engine into mechanical energy to

1. **Problem statement:** We have a speed-time graph of Paul's cycling trip lasting 10 minutes. The graph has three segments: speed increases linearly from 0 to maximum speed $V$ i

1. **State the problem:** We need to find the total distance travelled during a 50 second journey given the speed-time graph. 2. **Formula and concept:** Distance travelled is the

1. **Problem Statement:** We need to find the weight of the green triangle in a balanced weight system where the total weight at the top is 96 pounds.