🔭 physics

1. **State the problem:** We are given a system of three simultaneous linear equations derived from Kirchhoff's laws: $$I_1 + 8I_2 + 3I_3 = -31$$

1. **State the problem:** A car of mass $m = 800$ kg moves around a circular track of radius $r = 50$ m at a speed $v = 10$ m/s. Find the required centripetal force $F_c$. 2. **Rec

1. Problem 1: Determine the resistance when current $I=0.8$ A and voltage $V=20$ V. Using Ohm's law: $$R = \frac{V}{I} = \frac{20}{0.8} = 25\,\Omega$$

1. The resistance $R$ of a wire is calculated using the formula $R=\rho \frac{L}{A}$ where $\rho$ is resistivity, $L$ is length, and $A$ is cross-sectional area. 2. For Question 1,

1. The problem states a mass of 150 kilograms. 2. Since no further operation or context is given, the mass is simply 150 kg.

1. **Stating the problem:** We are given a velocity-time graph for a cycle showing velocity changes over 20 seconds.

1. **Stating the Problem:** We have a solid aluminum sphere and a solid iron sphere balanced on an equal-arm balance. The iron sphere has a radius of $r_{Fe} = 2.00$ cm. Given the

1. Problem 22 states: Given the Earth's mean radius $r_\text{Earth} = 6.37 \times 10^{6} \ m$ and Moon's mean radius $r_\text{Moon} = 1.74 \times 10^{8} \ cm$, calculate:

1. **State the problem:** We want to find the density of lead in SI units (kg/m\(^3\)) given the mass \( m = 23.94 \) g and the volume \( V = 2.10 \) cm\(^3\). 2. **Convert the mas

1. **State the problem:** We need to find the SI units of the constant $G$ in Newton's law of universal gravitation given by $$F=\frac{GMm}{r^2}.$$ Here, $F$ is force with units $\

1. **Problem statement:** We have two spheres cut from uniform rock. Sphere 1 has radius $r_1 = 4.50$ cm. The mass of sphere 2 is five times the mass of sphere 1. We want to find t

1. **Calculate the average density of the Earth.** The average density $\rho$ is defined as mass divided by volume:

1. **State the problem:** We have a meter stick suspended at its center (the 0.5 m mark), with a 1 kg object placed at $x=0$. We need to find the position $x$ where a 2 kg object s

1. **Stating the problem:** Calculate the torque when a force of 200 N is applied perpendicular to a wrench of length 25 cm. Then find the torque if the wrench length is doubled to

1. **State the problem:** Calculate the total torque about the base of a 4-meter ladder due to a 600 N painter standing 3 meters from the bottom and the ladder's weight of 200 N.

1. The problem involves calculating the force needed to loosen a bolt using a wrench. 2. We know that torque ($\tau$) is given by the formula $$\tau = r \times F \times \sin(\theta

1. The problem is to convert 0.00000625c into a more convenient unit. 2. Note that $0.00000625c$ means $0.00000625$ times the speed of light $c$.

1. نُعرّف المعطيات: - طول حرف المكعب $a = 4$ متر

1. **State the problem:** A ship initially travels at 18 km/h. After stopping its engines, it drifts 0.6 km and its speed reduces uniformly to 14 km/h. The ship's mass is 2000 t (w

1. The problem states a train is running at a speed of 1500 km per hour. 2. We need to find the actual time it takes to travel the first 1500 km.

1. **Problem:** Calculate the work done when a force of 50 N pushes an object 1.5 m in the same direction as the force. Step 1: Recall that work $W$ is given by $W = F \times d$, w