🔭 physics

1. We are given that the initial pressure $p_1 = 500000$ Pa and initial volume $V_1 = 10$ cm$^3$. The atmospheric pressure is $p_2 = 100000$ Pa. 2. Using Boyle's Law, which states

1. প্রশ্নটি বুঝে নিই: হেমিলটনের নিচে থেকে অর্থাৎ হেমিলটনের অনুক্রমে গতির সমীকরণ (Hamilton's equations) প্রতিষ্ঠা করতে হবে। 2. হেমিলটনের গাণিতিক কাঠামো হলো $H(q,p,t)$ যেখানে $q$ হলো

1. مسئله را بیان کنیم: سرعت قایق در آب راکد $v_b=100$ متر در دقیقه است. 2. فاصله رفت و برگشت $d=1200$ متر است.

1. State the problem: Which diagram satisfies the vector equation $\vec{C}=\vec{A}+\vec{B}$? 1. Explain the criterion: The sum $\vec{A}+\vec{B}$ is formed by placing $\vec{B}$ head

1. **State the problem:** We have a trap door hinged at point A with width 100 cm.

1. **Problem statement:** A girl uses a spanner of length 20 cm and pulls at right angles with a force of 50 N. We need to calculate the moment of her pull. 2. **Understanding the

1. **State the problem:** We need to find the tension forces in cables AC and BC supporting a 300 kg weight at point C in equilibrium.

1. **State the problems:** **Question 2:** Given the vector equation $v_x(30 - 10t) = 20v_y$ describing projectile motion components,

1. Problem 1: Find total resistance, currents $l_1$, $l_2$, and voltages $v_1$, $v_3$ in circuit with $V=12.0$, $R_1=1.00\,\Omega$, $R_2=6.00\,\Omega$, $R_3=13.00\,\Omega$. Step 1:

1. **Stating the problem:** Rex Things throws a vase vertically upward with an initial velocity of $26.2$ m/s. We need to determine the maximum height the vase reaches above its st

1. **State the problem:** A rocket-powered sled accelerates from rest to a speed of 444 m/s in 1.83 seconds. We need to find the distance traveled during this acceleration. 2. **Id

1. The acceleration due to gravity is the rate at which an object accelerates when falling freely near the surface of the Earth. 2. It is a constant and denoted by the symbol $g$.

1. The problem states a ball is thrown horizontally at a speed of 24 m/s from a cliff and hits the ground after 4.0 seconds. We need to find the height of the cliff. 2. Since the b

1. **State the problem:** We are asked to find the minimum length of a runway needed for a plane to take off. We know the plane's takeoff speed is $65 \text{ m/s}$, and the minimum

1. Problem statement: An asteroid of mass 10 kg is approaching the Earth at a distance of 6400 km with an initial speed of 23 km/s. We want to find the final speed of the asteroid

1. সমস্যা: একটি ১০ কেজি ভরের গ্রহাণু ২৩ কিমি/সেকেন্ড গতিতে প্রাথমিকভাবে পৃথিবীর থেকে ৬৪০০ কিমি দূরত্বে অবস্থান করছে। প্রশ্ন করা হচ্ছে, গ্রহাণু পৃথিবীতে আঘাত করার সময় তার চুড়ান্ত

1. প্রথমে সমস্যা বুঝি: একটি গ্রহাণুর ওজন $10$ কেজি, প্রাথমিক গতি $23$ কিমি/সেকেন্ড, যা $6400$ কিমি দূরত্ব থেকে পৃথিবীর কাছে আসছে। আমরা জানতে চাই গ্রহাণুর পৃথিবীতে আঘাত করার সময় তার

1. Stating the problem: We need to compare two speeds, 23 km/s and 25.8 km/s, and identify which is faster. 2. Explanation: The problem presents two speeds in kilometers per second

1. **State the problem:** We need to determine to which of the given options the Peregrine falcon (speed up to 389 kph) is inferior in terms of speed. 2. **Convert all speeds to a

1. **State the problem**: A car travels 514.5 km in five hours and 15 minutes. We need to find its average speed in kilometers per hour (kph). 2. **Convert time into hours**:

1. Given vector $\vec{F} = (6, \frac{2\pi}{3})$, find its magnitude: $$\|\vec{F}\| = \sqrt{6^2 + \left(\frac{2\pi}{3}\right)^2} = \sqrt{36 + \frac{4\pi^2}{9}} = \sqrt{36 + \frac{4\