🔭 physics

1. **State the problem:** We need to calculate the total impedance $Z$ of a series circuit containing a resistor $R = 33\ \Omega$ and a capacitor with capacitance $C = 200 \times 1

1. **State the problem:** An object X of mass 0.3 kg moves at 3 m/s horizontally and collides with a stationary object Y of mass 0.5 kg. After collision, X moves at 2 m/s at 60º to

1. **State the problem:** A 3 kg steel ball hits a wall at 10 m/s at a 60° angle and bounces off with the same speed and angle. The contact time is 0.2 s. We need to find the avera

1. **State the problem:** A 3 kg steel ball hits a wall at 10 m/s at a 60° angle to the surface and bounces off with the same speed and angle. The contact time is 0.2 s. We need to

1. **Problem Statement:** Given points A(3,6) and B(9,4) on the line of action of force \(\vec{F}\), with position vectors \(\vec{r}\) for A and \(\vec{r_1}\) for B, determine whic

1. **State the problem:** We need to find the sound level in decibels at a distance $d_2 = 4000$ m from an explosion, given the maximum acoustic pressure $\Delta P_{max} = 10.0$ Pa

1. **State the problem:** We have a system of rods and weights in equilibrium. We need to find the weights of objects A, B, and C given the distances from the pivot points and the

1. The problem is to understand the formula $p = \frac{1}{2} \times \text{density} \times v^2$ which calculates pressure or dynamic pressure in fluid dynamics. 2. The formula is de

1. **Problem statement:** A fire engine pumps water with a velocity of $15\ \text{m/s}$ hitting a wall perpendicularly and sticking to it. We need to calculate the pressure exerted

1. **State the problem:** A body of mass 2 kg moving at 1 m/s meets another body of mass 3 kg moving at 2 m/s in the opposite direction. They stick together after collision. Find t

1. **Problem:** Which is faster, a car travelling at 55 km/h or a leopard running at 15 m/s? 2. **Step 1:** Convert the car's speed from km/h to m/s to compare both speeds in the s

1. **State the problem:** Which is faster, a car travelling at 55 km/h or a leopard running at 15 m/s? 2. **Convert units to the same system:**

1. **Problem statement:** Given an angle of $36.6^\circ$, we want to find the tension in a string or cable. 2. **Formula and explanation:** The tension $T$ in a string holding an o

1. Let's state the problem: A beam has a 300 N force acting on its outermost side and an additional 300 N load hanging from it. We want to find the total torque. 2. The formula for

1. Let's clarify the motion of the load or cable in a system like a crane or pulley. 2. When we say the load or cable is "rotating," it often means it is moving around a pivot poin

1. Let's start by understanding what torque is. Torque is a measure of the rotational force applied to an object. It causes an object to rotate around an axis. 2. The formula for t

1. The problem describes a horizontal beam attached to a wall on one end, with a cable supporting the other end. The beam weighs 150 N, and a 300 N weight hangs at the beam's free

1. The problem asks why the sky appears blue during the day, even though sunlight looks white, and why it can appear red or orange at sunrise and sunset. 2. The explanation involve

1. **Problem Statement:** Given the formula $$P = Ae^{ax + bt}$$ where $$P$$ is pressure, $$x$$ is displacement, $$t$$ is time, and $$A$$, $$a$$, and $$b$$ are constants, find the

1. **State the problem:** A bus is moving at an initial velocity of $20$ m/s and comes to a stop in $4$ seconds after the brakes are applied. We need to find the distance the bus t

1. **Stating the problem:** We want to find the height of a ball when it reaches the hoop. 2. **Formula used:** The height $h$ of a ball thrown upwards with initial velocity $v_0$