🔭 physics

1. **State the problem:** Two football players collide inelastically and become entangled. Player A has weight 686 N and velocity +6 m/s, Player B has weight 784 N and velocity -7

1. **Problem Statement:** We have three forces acting on an object at its center of mass. We need to find:

1. **State the problem:** Hockey Player A has a weight of 784 N and is moving at +5 m/s. Hockey Player B applies a force over 0.5 s to stop Player A completely. We need to find the

1. **State the problem:** Hockey Player A has a mass of 60 kg and an initial velocity of +5 m/s. Player B applies a force of -500 N for 0.8 seconds. We need to find Player A's velo

1. **Problem Statement:** Estimate the bicyclist's average velocity over given intervals, instantaneous velocity at specific times, and maximum velocity from the distance-time grap

1. **Problem:** Calculate the electric field strength $\mathbf{E}$ at point $(2,3,1)$ given the potential function $$V = 8x^3 y z^2 + 16 x^2 y.$$ The electric field strength is giv

1. **State the problem:** We need to find the average speed of the Moon orbiting the Earth, given the orbit radius and the orbital period. 2. **Given data:**

1. **State the problem:** We need to find the density of an object given its mass and volume. 2. **Formula:** Density ($\rho$) is calculated by the formula:

1. **Problem:** Calculate the average power required for a 1200-kg car to accelerate from rest to 25 m/s in 8.0 s, ignoring friction losses. 2. **Formula:** Power is the rate of do

1. The problem asks to draw the Free Body Diagram (FBD) of an object. 2. A Free Body Diagram is a graphical illustration used to visualize the forces acting on an object.

1. **State the problem:** We have data for the rate of fall in temperature $r$ and temperature excess $T$ from a cooling calorimeter experiment. 2. **Given law:** The cooling follo

1. Problem: A 300-kg roller-coaster car starts from rest at the top of a 15.0-m-tall hill and rolls down a frictionless track. We need to find the speed at the bottom of the hill u

1. **Problem Statement:** A race car must achieve an average speed of 250 km/h over a 1600 m track. It covers the first half (800 m) at 230 km/h. Find the minimum average speed for

1. **Problem Statement:** A ball is thrown vertically upward with an initial speed of 25.0 m/s. We need to find:

1. **Problem Statement:** The speed of a nerve impulse in the human body is about 100 m/s. Estimate the time it takes the nerve impulse to travel to your brain if you stub your toe

1. **State the problem:** We have a spring stretched by a force (weight) of 100 N causing an extension of 0.5 m. We need to find the spring constant $k$. 2. **Formula used:** Hooke

1. **State the problem:** A spring with spring constant $k = 75$ N/m is compressed by $x = 10$ cm. We need to find the force acting on the spring.

1. **Problem statement:** A positively charged particle moves horizontally with velocity $\mathbf{v}$ along a straight long wire carrying current $I$. We need to find the direction

1. The question "at which point do we assume V" is unclear without context. 2. Typically, in physics or engineering, $V$ often represents voltage or potential, and the point at whi

1. **Problem Statement:** You start at the pin (starting point), go to point A, then back to the starting point, and finally to point Z. The horizontal line is divided into equal i

1. The problem is to understand the applications of projective geometry to physics. 2. Projective geometry studies properties invariant under projection, such as points, lines, and