🔭 physics

1. **State the problem:** Convert an acceleration of 5.70 meters per second squared to miles per minute squared. 2. **Formula and conversion factors:**

1. **State the problem:** Given the displacement function $s(t) = t^3 - 6t^2 - 36t$, find the maximum speed and maximum velocity in the first 7 seconds of motion. 2. **Recall formu

1. **Problem statement:** A uniform slender rod of length 3 m and mass 18 kg is pinned at one end and released from rest at 30° below the horizontal. We need to find the initial an

1. **State the problem:** A bullet of mass 10g (0.01 kg) is fired at 100 m/s into a wooden block of mass 190g (0.19 kg) suspended by a string. The bullet embeds in the block, and w

1. **State the problem:** An object Z has a kinetic energy of 800 J at point X and moves horizontally to point Y, experiencing a constant opposing force of 100 N over a distance of

1. **Problem statement:** Two forces of magnitudes 3N and 4N act perpendicular to each other on a 2kg object initially at rest. Find the kinetic energy after 20 seconds. 2. **Step

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