🔭 physics

1. **State the problem:** We have the height function of a ball thrown upwards given by $$h(t) = 2 + 20t - 4.9t^2$$ where $h(t)$ is the height in meters and $t$ is the time in seco

1. Problem 1: A body of weight 800 gm.wt is on a smooth inclined plane at angle $\theta$ where $\sin \theta = \frac{6}{10}$. A horizontal force $F$ keeps it in equilibrium. Find $F

1. The term "1 G" typically refers to the acceleration due to Earth's gravity. 2. This acceleration is approximately $9.8$ meters per second squared ($9.8\ \text{m/s}^2$).

1. **State the problem:** We have two point charges $Q_1 = Q_2 = 2 \times 10^{-12}$ C separated by a distance $a = 3 \times 10^{-2}$ m.

1. **State the problem:** A train moves at a speed of 60 km/h. We want to find the distance it covers in 2.5 hours. 2. **Recall the formula for distance:** Distance = Speed \times

1. **State the problem:** We need to find the total mass of the whole staircase given that the bottom step has a mass of 70 kg and the staircase consists of 10 steps. 2. **Analyze

1. **State the problem:** Four capacitors $C_1, C_2, C_3,$ and $C_4$ are connected in series between terminals A and B. 2. **Given data:**

1. **Problem statement:** We have three currents $I_1$, $I_2$, and $I_3$ in a uniform magnetic field $\vec{B}$ pointing horizontally to the right. We want to find which current exp

1. **State the problem:** We need to find the total mass of the staircase given that the bottom step has a mass of 70 kg and there are 10 steps in total. 2. **Analyze the problem:*

1. **State the problem:** We have a square loop of side length $l$ with a circular region of magnetic field of radius $R$ inside it. The magnetic field $B_0$ is directed into the p

1. **State the problem:** We have a concrete staircase made of multiple steps. The bottom step has a mass of 70 kg. We need to find the total mass of the whole staircase in tonnes.

1. **State the problem:** A positive charge $q=3$ C is moved from point A to point B by the electrostatic force of charge $Q$ at point O. The work done by this force is $1.5$ J. We

1. The problem asks which charge configuration creates a dumbbell-shaped equipotential surface centered on the origin and symmetric about both x and y axes. 2. Equipotential surfac

1. **Problem statement:** Given a circuit with resistors $R_1 > R_2 > R_3 > R_4$ arranged such that $R_1$ and $R_4$ are in series with the voltage source, and $R_2$ and $R_3$ are i

1. **State the problem:** We have a capacitor with plate separation $d$ and initial capacitance $C_0 = 1.7 \mu F$. A Teflon dielectric slab of thickness $\frac{3d}{4}$ and dielectr

1. **Problem statement:** A body of weight $w$ newton is on a rough horizontal plane. A horizontal force $F$ newton acts on it trying to move it. The resultant reaction $R$ lies in

1. **Problem statement:** A body of weight $W$ is on a rough horizontal plane with coefficient of static friction $\mu = \frac{\sqrt{3}}{3}$. A horizontal force $F$ acts on the bod

1. **Stating the problem:** A body of weight $w$ newton is on a rough horizontal plane with a coefficient of static friction $\mu_s = \frac{1}{4}$. A horizontal force acts on the b

1. **Problem statement:** A body weighing 50 N is on a rough inclined plane. A force $P$ acts up the slope along the line of greatest slope. The force $P$ that keeps the body in eq

1. **State the problem:** We have a body of weight 50 N on a rough inclined plane. A force $\vec{P}$ acts up the slope. The body is about to move up when $P=30$ N and about to move

1. **Problem statement:** A body weighing 10 N is placed on a rough inclined plane at an angle $\theta$. The body is about to move under the action of its weight only. Another body