🔭 physics

1. **State the problem:** A car travels along a straight path for 10 minutes with a velocity given by a velocity-time graph. We need to find the distance from the start after 10 mi

1. **State the problem:** A car travels along a straight path for 9 minutes with a given velocity-time graph. We need to find the total distance traveled by the car in kilometers,

1. **Stating the problem:** We are given Kepler's third law formula:

1. **Problem statement:** Given the formula for the speed of sound $$s = 389\sqrt{\frac{T}{m}}$$ where $s$ is speed of sound in km/h, $T$ is temperature in Kelvin, and $m$ is molec

1. **Stating the problem:** Convert the speed of sound from metres per second (m/s) to kilometres per hour (km/h).

1. The problem asks to solve the first question from the provided document, which is about calculating the resistance in a circuit using Ohm's Law. 2. Ohm's Law formula is given by

1. **State the problem:** We are given the equation for a reference voltage $V_{ref}$ as a function of current $I$: $$V_{ref} = 8 \cdot 0.05 \cdot I$$ 2. **Formula and explanation:

1. **State the problem:** We need to find the time $t$ when the apple hits the ground. The height $y$ of the apple above the ground is given by the equation $$y = -16t^2 + 120$$ an

1. The problem asks which statement is true about the center of mass motion of two blocks during a collision. 2. The center of mass velocity of a system with no external forces rem

1. **Problem:** Find the time it will take for the cannonball to reach the ground given the height equation $$h = -16t^2 + 128t$$. 2. **Formula and rules:** The cannonball reaches

1. **Problem:** Find the maximum height of the cannonball given by the equation $$h = -16t^2 + 128t$$. 2. **Formula:** The height function is a quadratic in the form $$h = at^2 + b

1. The problem asks to identify Boyle's law in mathematical form. 2. Boyle's law states that for a given amount of gas at constant temperature, the pressure $P$ and volume $V$ of t

1. **Planteamiento del problema:** Se nos da una gráfica que muestra el movimiento vertical de un alpinista durante la ascensión al Cerro Torre.

1. **Problem Statement:** We have two blocks A and B, each weighing 10 lb, on double inclined planes with angles 60° and 30° respectively. The coefficient of kinetic friction is $\

1. **Problem statement:** Two blocks A and B with masses 10 kg and 6 kg respectively are placed on a 30° inclined plane connected by a link. The coefficients of kinetic friction ar

1. **Problem statement:** We want to derive the formula for kinetic energy in terms of charge $q$, mass $m$, velocity $v$, and potential difference $U$. 2. **Given:** The kinetic e

1. **Problem statement:** A 3.0 kg block on a horizontal surface is connected by a rope over a frictionless pulley to a 5.0 kg ball hanging vertically. The coefficient of friction

1. **Stating the problem:** Find the maximum height of the arrow given by the height function $$h(t) = -16t^2 + 80t + 25$$ where $h$ is height in feet and $t$ is time in seconds.

1. **State the problem:** We have a cannon ball launched with an initial velocity of 56 feet per second. Its height after $t$ seconds is given by the equation:

1. **State the problem:** We have the height equation of an object thrown upward: $$h = -16t^2 + 157t + 3$$

1. **State the problem:** A 62 kg person is in an elevator moving upward at a constant speed of 4.0 m/s for 5.0 s. We need to find the work done by the normal force on the person.