🔭 physics

1. **Problem statement:** We have a particle of mass $m=2000$ kg moving along the $x$-axis from $x=0$ to $x=9.0$ m under a force $F_a$. The acceleration $a(x)$ vs. position $x$ gra

1. **State the problem:** We are given that the remaining amount of carbon-14 in the cave paintings is 4% of the original amount. We want to estimate the age $t$ of the paintings u

1. **Problem:** Asha drives 45 km north, then 15 km east. Find the total distance covered and displacement. 2. **Distance formula:** Distance is the total length traveled, so add a

1. **Problem statement:** We are given the average daily oil production on the Norwegian continental shelf in 2023 as 1.794 million barrels, with 1 barrel approximately equal to 15

1. Énoncé du problème : Une personne marche rapidement à une vitesse de 6 km/h. On veut écrire une fonction qui relie la distance parcourue $d$ au temps écoulé $t$.

1. **State the problem:** We need to make $t$ the subject of the formula given by $$S = ut + \frac{1}{2}at^2$$

1. The problem is to understand and use the formula for displacement in uniformly accelerated motion: $$S = ut + \frac{1}{2}at^2$$ where $S$ is displacement, $u$ is initial velocit

1. **State the problem:** We are given a device with an electrical power consumption of 200W and a useful output power of 120W. We need to find the power losses in Watts.

1. **State the problem:** Calculate the total energy consumed per day in kWh given a piecewise linear power load profile $P(t)$ in watts over 24 hours. 2. **Formula:** Energy consu

1. The problem is to solve for the moment, which in physics and engineering is often calculated as the product of force and distance from a pivot point. 2. The formula for moment (

1. The problem involves interpreting a distance-time graph for Mbaa's journey. 2. A distance-time graph plots distance on the y-axis and time on the x-axis.

1. **Problem:** Calculate the kinetic energy (KE) of 1200 kg of water moving at 2.5 m/s. 2. **Formula:** Kinetic energy is given by $$KE = \frac{1}{2} m v^2$$ where $m$ is mass and

1. **Problem:** Calculate the kinetic energy (KE) of 1200 kg of water moving at 2.5 m/s. 2. **Formula:** Kinetic energy is given by $$KE = \frac{1}{2} m v^2$$ where $m$ is mass and

1. The problem asks for the direction of $t$ for particles A and B. 2. Typically, $t$ represents time, which moves forward in the positive direction.

1. **Problem statement:** Determine the total capacitance and the maximum potential difference for three capacitors each of 30 µF arranged as two in parallel and one in series with

1. **Problem statement:** A car travels with constant acceleration, passing points A, B, and C on a straight road. Velocity at A is 14 m/s. Distances AB and BC are equal. Time for

1. **Problem statement:** A particle P is projected vertically upwards with speed 24 m/s from a point 5 m above ground level. We need to find the time from projection until P reach

1. **State the problem:** A motor is traveling at a speed of 56 km/h and takes 2.5 hours to travel from town A to town B. We need to find the distance between the two towns. 2. **F

1. **Problem Statement:** We need to verify the principle of moments using a meter ruler balanced on a support point O with two weights suspended at distances $l_1$ and $l_2$ from

1. **State the problem:** Khufra travels two segments: from his house to the park (9 km in 45 minutes) and from the park to his cousin's house (6 km in 30 minutes). We need to find

1. Let's state the problem: We want to solve a swimming and diving related problem in a way that a year 6 learner can understand easily. 2. Usually, swimming and diving problems in