🔭 physics

1. **Stating the problem:** We have a circuit with a voltage source $V$, resistors of $3\Omega$, $6\Omega$, and $2\Omega$, and a capacitor $C$. We need to find:

1. **Problem statement:** We want to find how the magnitude of the electric force between two point charges changes when each charge is doubled and the distance between them is hal

1. **Problem statement:** A block of density $\rho_B$ with horizontal cross-sectional area $A$ and height $h$ floats in a fluid of density $\rho_f$. It is pushed down and released.

1. **Stating the problem:** We have a force $P = 100$ KN acting downward at point A in a triangle ABC where angle $\angle B = 90^\circ$ and angle $\angle C = 35^\circ$. We need to

1. **State the problem:** A pendulum makes 40 vibrations in 20 seconds. We need to calculate its period. 2. **Formula:** The period $T$ of a pendulum is the time taken for one comp

1. **State the problem:** We have displacement values $d(t)$ of a weight oscillating over time $t$. We want to find the time interval where the weight is above its resting (equilib

1. **State the problem:** A ball is thrown upward from the top of a building. Its height above the ground after $t$ seconds is given by the function $$h(t) = -5t^2 + 20t + 30.$$ We

1. **State the problem:** A child on a swing is pulled back to a height of 0.50 m above the equilibrium position. We need to find the speed of the child as they pass through the eq

1. **State the problem:** A box slides down a frictionless incline of length 12.0 m at an angle of 30.0° starting from rest. We need to find its speed at the bottom. 2. **Relevant

1. **Problem statement:** Calculate and compare the energy and cost of washing dishes using an electric dishwasher versus washing by hand, given water volumes, temperatures, and en

1. **Problem Statement:** Calculate the hydrostatic force on a trapezoidal dam with water level 6 m from the top.

1. **State the problem:** Calculate the hydrostatic force $N$ on a vertical equilateral triangular plate submerged in water, where the force is given by the integral $$N = pg \int_

1. **Problem statement:** An aquarium 5 ft long, 3 ft wide, and 2 ft deep is full of water with weight density 62.5 lb/ft³.

1. **Problem statement:** We have an equilateral triangular plate with side length 6 m submerged vertically in water with its base at the water surface. We want to find the hydrost

1. **State the problem:** We are given the kinetic energy formula $$E = \frac{1}{2} m v^2$$ and need to make $v$ the subject. 2. **Write the formula:** $$E = \frac{1}{2} m v^2$$

1. **State the problem:** Determine the reactions at the supports (R_A and R_B) of a bridge with given loads and distances.

1. **State the problem:** We need to find an equation for the sensor's height $y$ in centimeters as a function of time $t$ in seconds, given the sinusoidal motion with key points a

1. **State the problem:** Identify the forces acting on your hand and their directions based on the given options. 2. **Forces acting on the hand:** According to the selections, th

1. The problem asks to identify external forces acting on different systems and their directions. 2. For part (b), we consider forces outside each system acting on it:

1. **Problem Statement:** Identify and analyze the forces acting on the book and the hand holding it. 2. **Part (a): Forces on the book**

1. **State the problem:** We need to find the net external force exerted on a 1400-kg artillery shell that is accelerated at $2.60 \times 10^{1}$ m/s$^2$.