Category: HC Verma Part 1: Mechanics

Problem Statement A 60 kg person stands in an elevator decelerating downward at 3 m/s² (i.e., the elevator is moving down but slowing). Find the apparent weight. ($g = 10$ m/s²) Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem applies fundamental physics principles to the scenario described. The…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A 60 kg person stands in an elevator that accelerates upward at 2 m/s². Find the apparent weight (normal force). ($g = 10$ m/s²) $N – mg = ma \Rightarrow N = m(g+a)$ Step 1: $N = m(g+a) =…

Problem Statement Solve the magnetic field/force problem: Solve the magnetic field/force problem: Two electrons separated by $5\times10^{-11}$ m experience both electrostatic repulsion and gravitational attraction. Find the ratio $F_e/F_g$. (Electron mass $= 9.11\times10^{-31}$ kg, charge $= 1.6\times10^{-19}$ C, $k = 9\times10^9$ N m² C⁻², $G = 6.67\times Given Information See problem statement for all given…

Problem Statement Solve the nuclear physics problem: Solve the Newton’s Laws / mechanics problem: The nuclear force between two nucleons has a range of about $10^{-15}$ m (1 fm). Explain qualitatively why nuclear forces cannot hold large nuclei together as effectively as small nuclei. Nuclear forces are short-range; electrostatic (Coulomb) repulsion i Given Information See…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A block of mass 4 kg is placed on a smooth incline of 30°. Find the normal force from the incline and the acceleration of the block along the incline. ($g = 10$ m/s²) $N = mg\cos\theta$; $a =…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A 5 kg block sits on an incline at 37° ($\sin 37°=0.6$, $\cos 37°=0.8$). Find the component of gravity along and perpendicular to the incline. ($g=10$ m/s²) Along incline: $mg\sin\theta$; perpendicular: $mg\cos\theta$ Step 1: $mg = 50$ N. Along…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: Two masses of 3 kg and 5 kg are connected by a light string over a frictionless pulley. Find the acceleration and tension. ($g = 10$ m/s²) Atwood machine: $a = (m_2-m_1)g/(m_1+m_2)$; $T = 2m_1m_2g/(m_1+m_2)$ Step 1: $a =…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A 3 kg mass hangs from a string. Find the tension in the string. ($g = 10$ m/s²) Equilibrium: Tension = weight Step 1: $T = mg = 3 \times 10 = 30$ N. $$\boxed{T = 30\text{ N}}$$ Mass(es),…

Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A block of mass 5 kg rests on a horizontal surface. Find the normal force exerted by the surface on the block. ($g = 10$ m/s²) On a horizontal surface, $N = mg$ (Newton’s third law + equilibrium) Step…

Problem Statement Solve the gravitation problem: Solve the Newton’s Laws / mechanics problem: Find the gravitational force between two masses of 100 kg and 200 kg separated by 1 m. ($G = 6.67 \times 10^{-11}$ N m² kg⁻²) $F = Gm_1m_2/r^2$ Step 1: $F = \dfrac{6.67\times10^{-11}\times100\times200}{1^2} = 6.67\times10^{-11}\times20000 = 1.334\times10^ Given Information See problem statement…