🔭 physics

1. **Problem Statement:** We have a hydraulic lift with a small disc of area $2.5\ \text{cm}^2$ and a large disc of area $200\ \text{cm}^2$. A force of 30 N is applied to the small

1. **Problem Statement:** A body is in equilibrium under three forces. Two forces are given: one is 10 N acting due east, and the second is 5 N acting at 60° north of east. We need

1. **State the problem:** We need to find the force applied at the end of the handle of a screw jack to lift a load of 2000 N. 2. **Given data:**

1. **State the problem:** We have a screw jack with a pitch of 0.5 cm and a handle length of 2 cm. We want to determine the mechanical advantage or related parameters. 2. **Relevan

1. **Problem Statement:** An effort of 20 N is applied to lift a load of 120 N using a machine. The effort moves through a distance of 50 m, and the load moves through a distance o

1. **Stating the problem:** A machine applies an effort of 20 N to lift a load of 120 N. The effort moves through 50 m, and the load moves through 200 m. We need to calculate:

1. **State the problem:** A metal cube with side length 10.0 cm weighs 29.4 N in air and 19.6 N when submerged in a fluid. We need to find the density of the fluid. 2. **Relevant f

1. **State the problem:** We need to find the magnitude and direction of the resultant force from two forces: $f_1 = 50$N at northeast by 37° and $f_2 = 100$N at northwest by 60°.

1. **Problem statement:** We have two blocks: $M_1=1.5$ kg on top of $M_2=5$ kg. A horizontal force $F=10$ N acts on $M_2$. The surface under $M_2$ is frictionless. The coefficient

1. Problem statement: We analyze static equilibrium of a beam with forces applied at angles and distances from a fulcrum. 2. Key formula: For static equilibrium, the sum of torques

1. **State the problem:** We have two football players colliding inelastically and coming to a complete stop after the collision. Player A has mass $m_A = 75$ kg and velocity $v_A

1. **State the problem:** Two football players collide inelastically and become entangled. Player A has weight 686 N and velocity +6 m/s, Player B has weight 784 N and velocity -7

1. **Problem Statement:** We have three forces acting on an object at its center of mass. We need to find:

1. **State the problem:** Hockey Player A has a weight of 784 N and is moving at +5 m/s. Hockey Player B applies a force over 0.5 s to stop Player A completely. We need to find the

1. **State the problem:** Hockey Player A has a mass of 60 kg and an initial velocity of +5 m/s. Player B applies a force of -500 N for 0.8 seconds. We need to find Player A's velo

1. **Problem Statement:** Estimate the bicyclist's average velocity over given intervals, instantaneous velocity at specific times, and maximum velocity from the distance-time grap

1. **Problem:** Calculate the electric field strength $\mathbf{E}$ at point $(2,3,1)$ given the potential function $$V = 8x^3 y z^2 + 16 x^2 y.$$ The electric field strength is giv

1. **State the problem:** We need to find the average speed of the Moon orbiting the Earth, given the orbit radius and the orbital period. 2. **Given data:**

1. **State the problem:** We need to find the density of an object given its mass and volume. 2. **Formula:** Density ($\rho$) is calculated by the formula:

1. **Problem:** Calculate the average power required for a 1200-kg car to accelerate from rest to 25 m/s in 8.0 s, ignoring friction losses. 2. **Formula:** Power is the rate of do

1. The problem asks to draw the Free Body Diagram (FBD) of an object. 2. A Free Body Diagram is a graphical illustration used to visualize the forces acting on an object.