🔭 physics

1. **State the problem:** We are given the height function of a baseball popped up as \(b(t) = 80t - 16t^2 + 3.5\). We need to find how long the catcher has to get in position befo

1. **State the problem:** Determine whether the given scenarios represent examples of work done. 2. **Recall the definition of work:** Work is done when a force causes displacement

1. The problem asks if we need to do anything with the kinetic friction coefficient 0.29. 2. The kinetic friction coefficient, usually denoted as $\mu_k$, is a constant that quanti

1. **State the problem:** We need to find the force required to start moving a 35 kg crate given the coefficient of static friction $\mu_s = 0.35$. 2. **Formula used:** The force t

1. **Problem statement:** Find the current $I(t)$ in amperes at time $t$ seconds after the switch is closed in an RL circuit with voltage $E=60$, inductance $L=1$, resistance $R=30

1. **Problem statement:** Find the average velocity over given intervals and the instantaneous velocity at $t=8$ for the displacement function

1. **State the problem:** We need to find the magnitude of the electromotive force (emf) generated in a solenoid due to a changing current.

1. **State the problem:** We need to find the self-inductance $L$ of a coil with 500 turns, where each turn has a magnetic flux $\phi = 0.10$ Wb when a current $I = 2.0$ A flows th

1. **Stating the problem:** We have a net of fish at point A suspended by ropes AB and AC. The rope AB makes an angle $\theta = 14^\circ$ with the horizontal, and the rope AC makes

1. **State the problem:** We are given the height function of a watermelon launched upward as $$h = -16t^2 + 64t + 80$$ where $h$ is the height in feet and $t$ is the time in secon

1. **State the problem:** We are given two measurements $a = 40.10m$ and $b = 36.00m$. We need to find the percentage error in the quotient $\frac{a}{b}$.

1. **Problem Statement:** Given a velocity vs time graph, we need to:

1. The problem asks us to predict the motion of different objects in clouds with varying updraft forces and explain why water droplets or ice crystals sometimes remain suspended in

1. **State the problem:** We have a radioactive substance with a half-life of 3 hours and an initial amount of 48,320 grams. We want to find how much remains after 15 hours. 2. **F

1. **State the problem:** We have a radioactive substance with a half-life of 3 minutes. Starting with 9,152 grams, we want to find how much remains after 12 minutes. 2. **Formula

1. **State the problem:** We have 736 grams of neptunium with a half-life of 2 days. We want to find how much remains after 6 days. 2. **Formula used:** The amount remaining after

1. **Problem Statement:** Calculate the theoretical equilibrant force $E_{theo}$ and its angle $\theta_{theo}$ for Problem 1 with forces $F_1 = 125$ g at $10^\circ$ and $F_2 = 95$

1. **Problem statement:** Car A starts with a velocity of $26.5\ \frac{km}{h}$ and accelerates at $1.7\ \frac{m}{s^{2}}$. Car B moves at a constant velocity of $53.1\ \frac{km}{h}$

1. **State the problem:** We need to find the work required to move a charge of 3 nC from the center of a hollow conducting sphere to its shell, where the sphere has a radius of 0.

1. **State the problem:** We need to find the linear velocity $\upsilon$ at the surface of Mercury, given its radius $r = 2.44 \times 10^6$ m and angular velocity $\omega$ in rad/s

1. **State the problem:** Danielle launches a ball from height $h$ with initial speed $v_0$ at angle $\theta$. A wall is at horizontal distance $L=25.0$ m with a hole at height $H$