🔭 physics

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

1. **Problem Statement:** A test charge of +3 µC is at a point P where the electric field due to other charges is directed to the right and has a magnitude of $4 \times 10^6$ N/C.

1. **Problem Statement:** Two cars, A and B, start from rest and accelerate. Given velocity-time graphs for both cars with $a=3$ minutes, we need to determine which car is ahead af

1. **State the problem:** We want to find the velocity of a rock falling freely under gravity after 4.1 seconds. 2. **Formula used:** The velocity of an object in free fall under g

1. The problem is to understand and add a free body diagram (FBD) for a given physical situation. 2. A free body diagram is a graphical illustration used to visualize the forces ac

1. **Problem statement:** We have two forces: one is 700 N at 15° to the negative x-axis (upward-left), and another force $F$ at angle $\theta$ above the positive x-axis (upward-ri

1. **Problem Statement:** Find the center of mass of four 2 kg bodies placed at each corner of a square of side 1.5 m. 2. **Formula:** The center of mass $(x_{cm}, y_{cm})$ for dis

1. The problem asks: How many seconds will they have to get out of the way? 2. To answer this, we need more information such as the speed of the object approaching and the distance

1. **State the problem:** We want to find the maximum height a ball can reach when thrown straight up by a pitcher who releases the ball from a height of $h_0 = 6 + 1 = 7$ feet wit

1. The question asks if there are other types of thermometers besides the common mercury or digital ones. 2. Thermometers measure temperature using different physical principles.

1. The problem is to understand how to solve questions involving an ammeter, which measures electric current in a circuit. 2. The key formula to remember is Ohm's Law: $$I = \frac{