🔭 physics

1. সমস্যাটি হলো: একটি বস্তুকে পৃথিবীর পৃষ্ঠ থেকে খাড়া উপর দিকে এমনভাবে ছুঁড়ে মারতে হবে যাতে বস্তুটি এমন উচ্চতায় উঠে যেখানে অভিকর্ষণ ঘূর্ণন পৃথক (gravitational acceleration) পৃথিব

1. Let's start by understanding what a vector is. A vector is a quantity that has both magnitude (length) and direction. 2. Vectors are often represented as arrows in space, where

1. **State the problem:** We know that the distance $d$ a marble falls is directly proportional to the square of the time $t$ it has been falling. Given that it falls 42.3 metres i

1. **State the problem:** We are given the acceleration of a lorry as a function of time $t$ seconds from rest:

1. **Problem Statement:** We are given the acceleration of a lorry as a function of time $t$ seconds from rest: $$a(t) = \frac{3}{2} - \frac{1}{10}t \quad \text{m/s}^2.$$ We need t

1. **Problem Statement:** We are given the acceleration of a lorry as a function of time $t$ seconds from rest:

1. **State the problem:** We have three forces acting on a body: $$F_1 = 2m + n, \quad F_2 = -3m + 4n, \quad F_3 = 4m - 6n$$

1. **Stating the problem:** We analyze the motion of a lift based on the graph showing floor number vs. time. 2. **Understanding the graph:**

1. The problem asks us to determine whether the object is moving forward, backward, or neither at specific points on a position vs. time graph. 2. The key concept is that the direc

1. Let's state the problem: We want to understand the relationship between mass, weight, and density. 2. Definitions:

1. **Problem statement:** Given a piecewise linear displacement-time graph, find the velocity and speed for each segment. 2. **Formula:** Velocity is the rate of change of displace

1. **Problem statement:** Given a displacement-time graph with piecewise linear segments, find the velocity and speed for each segment. 2. **Key formulas:**

1. **State the problem:** Find the resultant vector of two vectors given in polar form: $3.51\angle 21.8^\circ$ and $6.24\angle 51.5^\circ$. 2. **Formula and rules:** To add vector

1. **Problem statement:** A block weighing 5.0 N is pushed horizontally against a vertical wall with a force of 12 N. The coefficient of static friction is 0.60, and the coefficien

1. **Stating the problem:** We have four blocks with masses 10 kg, 3 kg, 5 kg, and 2 kg connected by cords and pulled to the right by a force \( \vec{F} \) on the 2 kg block. We wa

1. **Problem Statement:** A ray of light travels from air (refractive index $n_1 = 1$) into crown glass (refractive index $n_2 = 1.523$) and strikes the surface at an angle of inci

1. **Problem (a):** A see-saw pivoted at the middle is balanced by weights of Richard (60 kg), John (unknown mass), and Philip (15 kg) sitting at distances 2 m, 3 m, and 4 m respec

1. **Problem (a):** A see-saw pivoted at the middle is balanced by weights of Richard (60 kg), John (unknown mass), and Philip (15 kg) sitting at distances 2 m, 3 m, and 4 m respec

1. **State the problem:** We have two resistors with resistances $r$ and $s$ connected in parallel, and the combined resistance $R$ satisfies $$\frac{1}{R} = \frac{1}{r} + \frac{1}

1. **Problem statement:** We want to find the time $t$ in years until only 5% of the original amount of strontium-90 remains in the bones. 2. **Formula:** The exponential decay for

1. **State the problem:** We have a mirror with an incident ray and a reflected ray. The angle of incidence $i$ equals the angle of reflection $r$, both given as 70°.