🔭 physics

1. **State the problem:** We need to find how much energy a racing cyclist must ingest to produce a mechanical power output of 200 watts for 3 hours and 20 minutes, given that the

1. **State the problem:** A man drives 240 km from A to B at 120 km/h and returns from B to A at 80 km/h. We need to find his average speed for the whole journey. 2. **Formula for

1. **Problem statement:** We have two mathematical pendulums. The period $T$ of oscillation relates to the length $L$ by the formula $$T \propto \sqrt{L}$$ which means $$\frac{T_1}

1. **State the problem:** We need to find the resultant vector of two given vectors and express it in rectangular coordinates rounded to 1 decimal place. 2. **Given:**

1. **State the problem:** We are given a fluid density of 3 g/mL and a flow rate of 42 mL/s. We need to find the mass flow rate in g/s. 2. **Formula used:** Mass flow rate $\dot{m}

1. **State the problem:** We need to find the height of the apple after 3 seconds given the height function $$h(t) = -16t^2 + 64t + 80$$ where $t$ is time in seconds. 2. **Formula

1. **State the problem:** We have three masses: $m_1$, $m_2$, and $m_3$. Given $m_1 = 2.7 m_2 = 2.7 m_3$, with $m_1$ at the origin $(0,0)$, $m_2$ at $(2.7, 9)$, and $m_3$ at $(2.7,

1. **State the problem:** A long jump athlete leaves the ground at an angle of 30 degrees and lands 8.9 meters away. We need to find the initial velocity $v_0$ at which he left the

1. The problem asks to identify what the student has determined when finding that an object needs a force of 5.3 N to lift it. 2. When an object is lifted, the force required to li

1. **State the problem:** A young green sea turtle moves south 3.2 cm and east 5.1 cm on a map where 1 cm equals 6 km. We need to find the turtle's displacement, which is the strai

1. **State the problem:** Calculate the liquid pressure on a rectangular observation window submerged in water. The window is 6 ft wide and 4 ft high, with its top edge 3 ft below

1. **State the problem:** Calculate the value of the expression $$\frac{(6.626 \times 10^{-34})^2}{2\pi \cdot (6.64 \times 10^{-29}) \cdot 298 \cdot (1.8 \times 10^{-23})}$$. 2. **

1. **Problem Statement:** Part A: The temperature $T(x)$ in °C decreases by 6.6 °C per km above sea level, starting from 16 °C at sea level ($x=0$ km).

1. **State the problem:** Calculate the hydrostatic force on the dam face when the water level is 52 meters below the top of the dam. The dam face is shaped like an isosceles trape

1. **State the problem:** We need to find the hydrostatic force on one end of a trough filled with water. The end is an inverted isosceles triangle with base 5 ft and height 6 ft.

1. **State the problem:** A 44 kg object is suspended by two cables making angles of 32° and 40° with the horizontal. We need to find the tensions $T_1$ and $T_2$ in the cables.

1. **Problem 1: Compare the size of a proton to the distance to GN-z11 in terms of order of magnitude.** The size of a proton is about 1 femtometer (fm), where 1 fm = $10^{-15}$ me

1. **Problem statement:** GN-z11 is 9.8 Giga parsecs (Gpc) away. We want to convert this distance to light years (ly) and kilometers (km). 2. **Given:**

1. **State the problem:** We need to find the displacement of a runner after 10.6 seconds given the velocity-time graph. 2. **Understand the graph:** The velocity decreases linearl

1. Problem: Find the horizontal and vertical components of the initial velocity of a ball tossed at 16 degrees with a resultant velocity of 12 m/s. 2. Formula: For velocity compone

1. **State the problem:** We have an electron transitioning from energy level A (ground state) to energy level C (excited state) in an atom. We need to find the wavelength of the p