🔭 physics

1. **Problem statement:** A wheel starts from rest and accelerates with an angular acceleration $a = 4$ rad/s$^2$. We need to find how many revolutions it makes in 6 seconds. 2. **

1. **Problem Statement:** A baseball is thrown straight upward with an initial velocity of $25$ m/s. We need to find the total time elapsed for the baseball to return to the throwe

1. **State the problem:** We have a block weighing 60 lbs resting on a horizontal surface. The force needed to move it along the surface is 15 lbs. We need to find the coefficient

1. **Problem statement:** We want to find the time required to heat 0.2 liters of water from 15°C to 100°C using a 2 kW electric kettle with 95% efficiency. 2. **Relevant formula:*

1. **State the problem:** A car starts from rest, accelerates to 10 m/s in 10 seconds, travels at this velocity for 20 seconds, then stops in 5 seconds. We need to find the initial

1. **Problem Statement:** We need to find the values of powers $n$ and $m$ such that the acceleration $a_s$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is

1. **Problem 1a:** A truck 5 m long overtakes a train moving in the same direction. Truck speed = 31 km/h, train speed = 25 km/h, overtaking time = 1.5 minutes. Find train length.

1. **Problem Statement:** A satellite orbits Earth with tangential velocity $v$. We need to determine the direction of the centripetal force acting on the satellite. 2. **Key Conce

1. **Stating the problem:** We have two questions here:

1. **Problem statement:** A boat travels at 4.2 m/s relative to the water, which flows at 2.8 m/s horizontally (to the right). We want to find the angle $\theta$ the boat must head

1. Let's clarify the concept of tension in physics. 2. Tension is a force that is transmitted through a string, rope, cable or wire when it is pulled tight by forces acting from op

1. **Problem Statement:** We want to understand why it is easier to do chin-ups when your hands are 30 cm apart compared to 90 cm apart, assuming the force exerted by your arms is

1. **Problem 1: Speed of 12.0 kg bucket striking the floor** We have two buckets connected by a rope over a pulley. The 12.0 kg bucket is initially 2.00 m above the floor and is re

1. **Problem Statement:** We have a rigid joint held in equilibrium by three actuators A, B, and C with unknown forces $x$, $y$, and $z$ respectively.

1. **Problem 1:** Two solid spheres A and B each of mass $m$ move towards each other on a frictionless horizontal line with velocities $2u$ and $u$ respectively. After an elastic c

1. **Stating the problem:** Given a mass $m=5.35$ kg, a kinetic friction coefficient $\mu_k=0.433$, and a position-dependent force

1. **Problem Statement:** We have a block of mass $m=5.35$ kg subjected to a position-dependent force along the x-axis given by

1. **Problem Statement:** We have a block of mass $m=3.66$ kg subjected to a net force given by

1. **Problem statement:** The cable of a suspension bridge forms a parabola. The distance between towers is 150 m, the cable height at towers is 22 m, and the lowest point is 7 m a

1. The problem is to understand what subatomic particles are. 2. Subatomic particles are particles smaller than an atom.

1. The problem asks to convert 60°C to °F. 2. The formula to convert Celsius to Fahrenheit is $$F = \frac{9}{5}C + 32$$.