🔭 physics

1. **Problem statement:** Determine the signs and changes of velocity, displacement, and acceleration vectors for Marie-Philip Poulin skating toward the Team USA net, with positive

1. **Problem Statement:** A student built a ramp for a model car and recorded two sets of data: the height vs. distance of the ramp and the velocity vs. time of the car.

1. **State the problem:** Meg sees a dolphin jump out of the water with an initial velocity of 30 feet per second. We want to find how long the dolphin is in the air before it spla

1. **State the problem:** We have a 40 kg weight suspended by three ropes. One rope pulls at 30 degrees from the positive x-axis, the second pulls along the negative x-axis, and th

1. **State the problem:** We have a 40 kg weight suspended by three ropes. One rope pulls at 30 degrees from the x-axis, another pulls horizontally along the x-axis, and the third

1. The problem asks for the length of one period of the intellectual cycle, which is a sine wave representing a biorhythm. 2. Biorhythm cycles are typically modeled as sine functio

1. **Problem (a):** Given the displacement $x = Bt^2$, find the dimensions of $B$. 2. **Step 1:** Recall that displacement $x$ has dimensions of length $[L]$.

1. **State the problem:** We need to find the actual speed and direction of an airplane flying with a velocity of 580 mph headed S 55° W, while there is a wind blowing from the sou

1. **State the problem:** Two men pull a tree stump with forces of 700 N and 850 N at a 40° angle between them. We need to find the resultant force. 2. **Formula used:** The result

1. The problem is to understand and use the equation of motion: $$v^2 = u^2 + 2as$$ where $v$ is the final velocity, $u$ is the initial velocity, $a$ is the acceleration, and $s$ i

1. **State the problem:** Marta dropped an item from the top of the Leaning Tower of Pisa with an initial speed $u=0$ m/s. The final speed $v$ after falling is 33 m/s, and the time

1. **State the problem:** We are given an object dropped from rest (initial speed $u=0$ m/s) falling down a distance $s=43$ m in time $t=4.4$ s with final speed $v$ unknown.

1. **Stating the problem:** We have a vector of length 6 units that makes an angle of 30° with the y-axis. We need to find its coordinates. 2. **Formula and explanation:** The vect

1. **State the problem:** Ken made a wooden door stop shaped like a triangular prism with legs 7 cm and 15 cm, length 4 cm, and weight 155.4 grams. We need to find which wood type

1. **State the problem:** We need to find the mass of helium gas required to fill the space between two cylinders: a large cylinder with radius 7 m and height 15 m, and a smaller c

1. **State the problem:** We need to find the value of $v$ using the formula $v = u + 10t$ when $u = -23$ and $t = 7$. 2. **Write the formula:** The formula given is:

1. **Problem Statement:** We are given the frequency and wavelength ranges for visible light colors and asked to analyze or solve a problem related to these values.

1. **Stating the problem:** We have four forces: $7\mathbf{i} - 2\mathbf{j}$, $-6\mathbf{i} + 5\mathbf{j}$, $3\mathbf{i} + 6\mathbf{j}$, and $a\mathbf{i} + b\mathbf{j}$. Their resu

1. **State the problem:** We are given Kepler's third law which states that the square of the period $P$ of a planet is proportional to the cube of its average distance $d$ from th

1. **Problem statement:** A constant current flows through a long straight vertical wire. A Hall probe is placed at a distance $r$ from the wire's center. (i) Explain why rotating

1. **Problem statement:** A horseshoe magnet produces a uniform magnetic field of flux density $B$ between its poles. A wire XY of length 4.4 cm is placed horizontally and normal t