🔭 physics

1. The problem asks to draw vectors with given magnitudes and directions relative to compass points (North, East, South, West). 2. To draw each vector, we use the magnitude as the

1. **Problem statement:** Calculate the equilibrium electron concentration ($n$), hole concentration ($p$), mobilities of electrons ($\mu_n$) and holes ($\mu_p$), and electrical re

1. **Problem Statement:** Calculate the algebraic measure of the sum of moments about point B, denoted as $\sum M_B$, for the given right trapezium ABCD with forces applied.

1. **Problem Statement:** Given the half-life $t_{1/2} = 0.0192$ years, initial quantity $N_0 = 4.35$ g, and a time $t = 3.3 \times 10^8$ years, find the remaining quantity $N_t$.

1. **Problem Statement:** We have a water wheel with radius $r=3$ m, submerged depth $d=0.5$ m, rotating every $T=40$ s. We want to:

1. **State the problem:** A car moves around a circular racing track and takes 120 seconds to complete one lap of 5 kilometers. We need to find the speed of the car in kilometers p

1. The problem is to understand what friction is. 2. Friction is a force that opposes the relative motion or tendency of such motion of two surfaces in contact.

1. Let's clarify where the force $F$ comes from in physics problems. 2. Typically, $F$ represents force, which is defined by Newton's second law as $$F = ma$$ where $m$ is mass and

1. **State the problem:** We have a radioactive substance with an initial amount $y_0 = 35$ grams and a half-life of 230 years. We want to find the time $t$ when the amount $y$ dec

1. Let's start by stating the problem: You want to find the net torque for segment CD by subtracting two torques, 28KNm and 8KNm. 2. The formula for net torque when two torques act

1. The problem is to understand and create a free body diagram (FBD) for an object. 2. A free body diagram is a graphical illustration used to visualize the forces acting on a sing

1. **State the problem:** We are given the distance function of a car as a function of time $t$ seconds:

1. **Problem statement:** A wheel starts from rest and accelerates with an angular acceleration $a = 4$ rad/s$^2$. We need to find how many revolutions it makes in 6 seconds. 2. **

1. **Problem Statement:** A baseball is thrown straight upward with an initial velocity of $25$ m/s. We need to find the total time elapsed for the baseball to return to the throwe

1. **State the problem:** We have a block weighing 60 lbs resting on a horizontal surface. The force needed to move it along the surface is 15 lbs. We need to find the coefficient

1. **Problem statement:** We want to find the time required to heat 0.2 liters of water from 15°C to 100°C using a 2 kW electric kettle with 95% efficiency. 2. **Relevant formula:*

1. **State the problem:** A car starts from rest, accelerates to 10 m/s in 10 seconds, travels at this velocity for 20 seconds, then stops in 5 seconds. We need to find the initial

1. **Problem Statement:** We need to find the values of powers $n$ and $m$ such that the acceleration $a_s$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is

1. **Problem 1a:** A truck 5 m long overtakes a train moving in the same direction. Truck speed = 31 km/h, train speed = 25 km/h, overtaking time = 1.5 minutes. Find train length.

1. **Problem Statement:** A satellite orbits Earth with tangential velocity $v$. We need to determine the direction of the centripetal force acting on the satellite. 2. **Key Conce

1. **Stating the problem:** We have two questions here: