🔭 physics

1. **Problem statement:** A body initially at temperature 0F is placed in a room at 100F. After 10 minutes, the body's temperature is 25F. We need to find the time when the body's

1. **Problem Statement:** We are given the full equations of motion involving forces such as Coriolis Force (CF), Pressure Gradient Force (PGF), gravity (g), and Friction (F). The

1. **State the problem:** We want to find the time intervals when the rocket's height $h$ is above 40 meters. 2. **Given model:** The height at time $t$ is given by $$h = -5t^2 + 2

1. The problem is to understand how heat flow from a body in space is mathematically modeled. 2. Heat transfer in space primarily occurs through radiation because there is no mediu

1. **Problem Statement:** Determine the reactions acting on a smooth uniform bar AB of length 4 m and mass 20 kg. The bar is inclined at 30° to the horizontal at point A, resting o

1. **State the problem:** We are given a rocket traveling to Venus. It took 4 days to reach the moon, traveling 4.8 \times 10^{5} km.

1. **Problem statement:** We are given a position-time graph with points (1,1), (2,4), (3,7.5), and (4,15). We need to find: - a) The average velocity in the time interval $[0,4]$

1. **Problem 12:** Calculate distances and times using the speed of light $3 \times 10^{8}$ m/s, expressing answers in standard form. 2. **Formula:** Distance $d = speed \times tim

1. **Problem Statement:** We want to model heat flow in a copper bar of length 10 cm, insulated on the sides, with ends held at 0°C, and initial temperature distribution given by $

1. **State the problem:** A hammer of mass 2.30 kg falls from the top of a 4.60 m high scaffold. We need to find the hammer's speed when it is 1 meter above the ground. 2. **Identi

1. **State the problem:** We need to find the efficiency of an electric motor that uses 78.0 J of electrical energy to accelerate a 280 g toy car from rest to 14.0 m/s over 8.3 m i

1. **State the problem:** We have an electric motor that uses 78.0 K (kilojoules) of electrical energy to accelerate a 280 g toy car from rest to 14.0 m/s over 8.3 m in 3.80 s. We

1. **State the problem:** We have a barometer reading of 1013.5 hPa with an absolute error less than 0.3 hPa. We need to find the possible range of the actual atmospheric pressure.

1. **Stating the problem:** A train moves along a straight line with uniform acceleration. Initially, its speed is 20 km/h. When it passes the next kilometer post, its speed is 30

1. **Problem statement:** A bullet moving at an initial velocity of $600\ \text{m/s}$ penetrates a target to a depth of $5\ \text{cm}$ and slows down to $200\ \text{m/s}$. Assuming

1. **Problem statement:** A particle starts from rest and travels 64 m in 4 s under constant acceleration. We need to find: - The time to travel half the total distance (32 m).

1. **Problem statement:** We have a vertical rod of length 2 m fixed at point M. A force of 49 N is applied at the top of the rod making a 30° angle with the vertical. We want to f

1. **Problem Statement:** Determine the moment of inertia of the Android logo about the y-axis. 2. **Understanding Moment of Inertia:** The moment of inertia $I_y$ about the y-axis

1. **Problem Statement:** Find the largest force $F$ that can be applied to block A without causing slipping, given masses $m_A=30$ kg, $m_B=70$ kg, and coefficient of static frict

1. **Problem statement:** Given two blocks A and B with masses $m_A = 30$ kg and $m_B = 70$ kg, and coefficient of friction $\mu_s = 0.1$, find the largest force $F$ that can be ap

1. The problem is to understand the mathematical representation of a wave. 2. A common formula for a sinusoidal wave is: