🔭 physics

1. **Problem Statement:** We have two circuits each with two bulbs connected to a battery. In the left circuit, bulbs A and B are connected in series. In the right circuit, bulbs C

1. **Problem statement:** A car accelerates uniformly from rest for 20 seconds, moves at constant speed $v$ m/s for 40 seconds, then decelerates uniformly to rest in 10 seconds. To

1. **State the problem:** We need to calculate the average speed of the runner between 4 seconds and 14 seconds based on the distance-time graph. 2. **Recall the formula for averag

1. **State the problem:** We have a spring with a hanger whose position changes linearly with the mass applied. The hanger is 30.6 cm off the ground with no mass, 16.2 cm off the g

1. **Problem statement:** We want to analyze the swing described as a pendulum with arm length $22$ m, swinging up to an angle of $120^\circ$, reaching a maximum height of $45$ m.

1. **Problem statement:** Calculate the electric field strength at a point 1.00 cm to the left of the middle charge (+1.50 μC) in a system of three charges: +6.00 μC at 3.00 cm lef

1. **State the problem:** A plane is flying east at 150 mi/h, and there is a crosswind blowing north at 30 mi/h. We need to find the plane's actual speed and direction.

1. **State the problem:** We have an adiabatic process where pressure $P$ and volume $V$ satisfy the relation $$PV^{1.4} = C,$$ where $C$ is a constant.

1. The problem asks which expression best models the distance in feet traveled by an object $t$ seconds after it is dropped from the top of a tall building. 2. When an object is dr

1. The problem is to find the average speed over given time intervals using the formula for average speed: $$\text{Average Speed} = \frac{\text{Change in Position}}{\text{Change in

1. **Problem statement:** We have the speed of a jet at intervals of 5 seconds from 0 to 25 seconds. We want to estimate the length of the runway used by the jet to take off (part

1. **Problem statement:** We have the speed of a jet at 5-second intervals from 0 to 25 seconds and want to estimate the length of runway used for takeoff (part a). Then, we need t

1. **Stating the problem:** We have a distance vs. time graph with points L, M, N, O, and P plotted over 5 hours. We need to determine which two statements about the graph are true

1. **State the problem:** We need to find the time interval during which the teenager's velocity changes at the greatest rate, i.e., the greatest acceleration. 2. **Recall the form

1. **State the problem:** We need to find how much energy a racing cyclist must ingest to produce a mechanical power output of 200 watts for 3 hours and 20 minutes, given that the

1. **State the problem:** A man drives 240 km from A to B at 120 km/h and returns from B to A at 80 km/h. We need to find his average speed for the whole journey. 2. **Formula for

1. **Problem statement:** We have two mathematical pendulums. The period $T$ of oscillation relates to the length $L$ by the formula $$T \propto \sqrt{L}$$ which means $$\frac{T_1}

1. **State the problem:** We need to find the resultant vector of two given vectors and express it in rectangular coordinates rounded to 1 decimal place. 2. **Given:**

1. **State the problem:** We are given a fluid density of 3 g/mL and a flow rate of 42 mL/s. We need to find the mass flow rate in g/s. 2. **Formula used:** Mass flow rate $\dot{m}

1. **State the problem:** We need to find the height of the apple after 3 seconds given the height function $$h(t) = -16t^2 + 64t + 80$$ where $t$ is time in seconds. 2. **Formula

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,