🔭 physics

1. **State the problem:** We have a two-wheel system where wheel 1 rotates at 200 rpm with radius 21 cm and torque 3000 NM. Wheel 2 rotates at 1000 rpm. We need to find the radius

1. **Problem 1: Determine the RPM of gear 2** given gear 1 has 100 teeth, rotates at 1180 rpm, and gear 2 has 500 teeth. 2. The formula relating gear teeth and RPM is $$T_1 \times

1. **Problem Statement:** A 12 m long beam with negligible weight has a 13 kN crate at point C, which is 2 m from the right end (point B). We need to find the reaction forces at po

1. **State the problem:** We are given the height of a rocket as a function of time: $$h = -3t^2 + 24t$$ where $h$ is the height in meters and $t$ is the time in seconds. 2. **Dete

1. **State the problem:** We have three point charges: $q_1 = -1.50 \text{ nC}$ at $(0,6.00)$ m, $q_2 = +3.20 \text{ nC}$ at the origin $(0,0)$ m, and $q_3 = -5.00 \text{ nC}$ at $

1. **Problem statement:** An airplane's engine thrust produces a speed of 590 km/h in calm wind. The wind velocity vector is given by $\langle 36, -43 \rangle$. We want to find the

1. **Énoncé du problème** : Nous étudions un modèle d'Ising sur un réseau de N sites avec un moment magnétique \(\vec{\mu}\) pouvant prendre les valeurs \(\pm \mu\) selon l'axe z.

1. **Problem statement:** Three point charges are arranged on a line: $q_3 = +5.00$ nC at the origin ($x=0$), $q_2 = -3.00$ nC at $x=+4.00$ cm, and $q_1$ at $x=+2.00$ cm. Find the

1. **State the problem:** Calculate the net torque acting on a door with width $L=0.6$ m subjected to 6 forces each of magnitude $F=50$ N as shown in the diagram. The hinge is on t

1. **Problem Statement:** Find the area of the parallel plates of a 1.0-F capacitor separated by 1.0 mm, given the permittivity of free space $\varepsilon_0$ in F/m.

1. **State the problem:** We have a capacitor with capacitance $C = 1.0$ F and plate separation $d = 1.00$ mm $= 1.00 \times 10^{-3}$ m. We need to find the area $A$ of the plates.

1. **ปัญหา:** เรือสินค้าลำหนึ่งเดินเรือไปทางทิศ 060° ด้วยอัตราเร็ว 40 กิโลเมตรต่อชั่วโมง ขณะนั้นมีกระแสน้ำไหลไปทางทิศ 150° ด้วยอัตราเร็ว 30 กิโลเมตรต่อชั่วโมง จงหาว่าเรือลำนี้จะเคล

1. **Problem:** A cylindrical roller has a diameter of 48 inches and makes 0.7 revolutions per second. Find the angular speed in radians per second and the linear speed in inches p

1. **Problem statement:** A particle moves along a straight line from a fixed point O with acceleration $a$ proportional to the square of its displacement $r$ from O, given by $$a

1. **Problem 16.19** When a Perspex rod is rubbed on a woollen cloth, the rod acquires a negative electric charge.

1. Masalah ini meminta kita untuk huraikan perubahan kedudukan burung itu. 2. Perubahan kedudukan bermaksud jarak dan arah burung itu bergerak dari kedudukan asal ke kedudukan baru

1. Soalan meminta kita untuk huraikan perubahan kedudukan burung itu. 2. Perubahan kedudukan bermaksud perbezaan antara kedudukan akhir dan kedudukan awal burung.

1. Masalah ini meminta kita mengira perubahan kedudukan burung apabila jarak antara burung dan penyu adalah 9.07 m. 2. Diberi jarak awal burung ialah $1\frac{3}{4}$ m, yang boleh d

1. **بيان المشكلة:** لدينا دائرة كهربائية تحتوي على بطارية ذات جهد داخلي $V_B$ ومقاومة داخلية $r$. عند فتح المفتاح $K$، قراءة الفولتميتر هي 9 فولت، وعند غلق المفتاح تصبح القراءة 8

1. **State the problem:** We need to find the area of the plates of a capacitor given the plate separation $d = 2.0 \times 10^{-3}$ m and the capacitance $C = 1$ F. 2. **Formula us

1. **State the problem:** We need to find the charge stored on either plate of a capacitor with capacitance $4 \times 10^{-6}$ F when connected to a 12 V battery. 2. **Formula used