🔭 physics

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

1. **State the problem:** Calculate how many hydrogen atoms are in the sun given that the mass of hydrogen in the sun is about $1.5 \times 10^{30}$ kilograms. 2. **Formula and cons

1. **State the problem:** We want to find the total mass of all the protons in Betelgeuse given the number of protons and the mass of one proton. 2. **Given:**

1. **State the problem:** We need to find the density of a piece of metal given its mass and the change in water volume when it is submerged. 2. **Formula used:** Density is calcul

1. **State the problem:** We need to find the speed of the boat between 30 and 50 seconds after starting using the distance-time graph. 2. **Recall the formula for speed:** Speed i

1. **Problem statement:** We want to find the time $t$ it takes for an object to fall from a height of 0.55 m under gravity. 2. **Formula used:** The vertical displacement under co

1. The problem is to understand the assumption about the vector \( \mathbf{G} \) being on the normal and whether this assumption is correct. 2. In many physics and engineering prob