🔭 physics

1. **Problem statement:** We have a cooling process of a hot liquid in an environment at constant temperature 20 °C. The rate of temperature decrease is given by the function

1. **State the problem:** Fred jumps from 40,000 feet and eventually lands at 40 feet above sea level. We want to find his speed when he hits the ground. 2. **Given data:**

1. **State the problem:** We have a toy rocket launched from a platform 48 feet high, with height modeled by the equation $$h = -16t^2 + 32t + 48$$ where $h$ is height in feet and

1. **State the problem:** We are given the mass formula from special relativity:

1. **Problem statement:** A train of mass $2 \times 10^{5}$ kg moves at a constant speed of 72 km/hr up an incline. The frictional force opposing the motion is $1.28 \times 10^{4}$

1. **State the problem:** We have the height function of a container dropped from 25 feet given by $$h = -16t^2 + 25$$ where $h$ is height in feet and $t$ is time in seconds. 2. **

1. **State the problem:** We are given the height function of an object launched vertically as $$h(t) = -4.9t^2 + 30t + 55$$ where $t$ is time in seconds and $h(t)$ is height in me

1. **State the problem:** You know that 1,000 feet of wire has a resistance of 7.77 ohms. The resistance is proportional to the length of the wire. You need to find the resistance

1. Problem 12: A car travelling at 90 km/h is 500 m behind another car travelling at 70 km/h in the same direction. Find the time for the first car to catch the second. 2. Formula:

1. **Problem statement:** A thin conducting plate 3.9 m on a side has a total charge of $-24.0 \times 10^{-6}$ C. We need to find the electric field and force on an electron at 1.0

1. **State the problem:** We are given the bending moment formula for a beam: $$ M = \frac{w \ell}{2} x - \frac{w}{2} x^2 $$

1. The problem asks to order the sequence of events in a solar oven's heating process. 2. The given statements are:

1. The problem statement is unclear as no specific question is asked, but the data provided suggests a kinematics or SUVAT problem involving distances, speeds, accelerations, and t

1. **State the problem:** Calculate the electric force on a charge of $-2.91\,\mu C$ placed at $y=0.474\,m$ on the y-axis. 2. **Formula used:** The electric force between two point

1. **Problem statement:** Two point charges each of $2.19\,\mu C$ are located on the x-axis at $x=1.13\,m$ and $x=-1.13\,m$. We need to find the electric field at the point on the

1. **Problem Statement:** Calculate the electric field magnitude at point P, which is the midpoint between two nanoparticles with opposite charges separated by a distance $r = 2.0$

1. **State the problem:** An airplane is flying due south at 500 km/h and encounters a headwind from the south at 40 km/h. We need to find the resultant ground velocity of the airp

1. **State the problem:** We need to find the specific gravity of jet fuel, which is the ratio of the density of the jet fuel to the density of water. 2. **Recall the formulas:**

1. **State the problem:** We need to calculate the energy required to increase the temperature of 1.2 kg of water by 80°C. 2. **Formula:** The change in thermal energy is given by:

1. **Stating the problem:** We have three scenarios (A, B, C) describing the initial and final positions of two circles on the coordinate plane with arrows indicating their directi

1. **State the problem:** Find the center of mass of the pair (A, B) given the positions and masses of points A and B.