🔭 physics
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Resistance Calculations
1. Problem 1: Find total resistance, currents $l_1$, $l_2$, and voltages $v_1$, $v_3$ in circuit with $V=12.0$, $R_1=1.00\,\Omega$, $R_2=6.00\,\Omega$, $R_3=13.00\,\Omega$.
Step 1:
Vase Maximum Height
1. **Stating the problem:** Rex Things throws a vase vertically upward with an initial velocity of $26.2$ m/s. We need to determine the maximum height the vase reaches above its st
Sled Acceleration Distance
1. **State the problem:** A rocket-powered sled accelerates from rest to a speed of 444 m/s in 1.83 seconds. We need to find the distance traveled during this acceleration.
2. **Id
Acceleration Gravity
1. The acceleration due to gravity is the rate at which an object accelerates when falling freely near the surface of the Earth.
2. It is a constant and denoted by the symbol $g$.
Cliff Height
1. The problem states a ball is thrown horizontally at a speed of 24 m/s from a cliff and hits the ground after 4.0 seconds. We need to find the height of the cliff.
2. Since the b
Runway Length
1. **State the problem:** We are asked to find the minimum length of a runway needed for a plane to take off. We know the plane's takeoff speed is $65 \text{ m/s}$, and the minimum
Asteroid Speed
1. Problem statement: An asteroid of mass 10 kg is approaching the Earth at a distance of 6400 km with an initial speed of 23 km/s. We want to find the final speed of the asteroid
Asteroid Impact Speed
1. সমস্যা: একটি ১০ কেজি ভরের গ্রহাণু ২৩ কিমি/সেকেন্ড গতিতে প্রাথমিকভাবে পৃথিবীর থেকে ৬৪০০ কিমি দূরত্বে অবস্থান করছে। প্রশ্ন করা হচ্ছে, গ্রহাণু পৃথিবীতে আঘাত করার সময় তার চুড়ান্ত
Asteroid Impact Speed
1. প্রথমে সমস্যা বুঝি: একটি গ্রহাণুর ওজন $10$ কেজি, প্রাথমিক গতি $23$ কিমি/সেকেন্ড, যা $6400$ কিমি দূরত্ব থেকে পৃথিবীর কাছে আসছে। আমরা জানতে চাই গ্রহাণুর পৃথিবীতে আঘাত করার সময় তার
Speed Comparison
1. Stating the problem: We need to compare two speeds, 23 km/s and 25.8 km/s, and identify which is faster.
2. Explanation: The problem presents two speeds in kilometers per second
Speed Comparison
1. **State the problem:** We need to determine to which of the given options the Peregrine falcon (speed up to 389 kph) is inferior in terms of speed.
2. **Convert all speeds to a
Average Speed
1. **State the problem**: A car travels 514.5 km in five hours and 15 minutes. We need to find its average speed in kilometers per hour (kph).
2. **Convert time into hours**:
Forces Magnitude
1. Given vector $\vec{F} = (6, \frac{2\pi}{3})$, find its magnitude:
$$\|\vec{F}\| = \sqrt{6^2 + \left(\frac{2\pi}{3}\right)^2} = \sqrt{36 + \frac{4\pi^2}{9}} = \sqrt{36 + \frac{4\
Voltage Calculation
1. The problem states that we have a circuit with a current $I = 2$ A and a resistance $R = 5 \ \Omega$, and we need to find the voltage $V$.
2. We use Ohm's Law, which states that
Ohms Law
**Problem:** What is the formula for Ohm’s Law?
1. Ohm’s Law relates the voltage (V), current (I), and resistance (R) in an electrical circuit.
Ohms Law
1. The problem asks for the correct formula representing Ohm's Law.
2. Ohm's Law defines the relationship between voltage (V), current (I), and resistance (R).
Unit Conversions
1. State two units that are commonly used to measure mass.
Common units for mass are kilograms (kg) and grams (g).
Unit Jisim
1. Soalan: Nyatakan 2 unit yang biasa digunakan untuk ukuran jisim.
2. Jawapan:
Mercury Volume
1. **State the problem:** We need to find the volume of a sample of liquid mercury given its mass and density.
2. **Recall the formula for density:** Density $\rho$ is mass $m$ div
Density Calculation
1. The problem asks for the density of a substance given the mass and volume.
2. Density ($\rho$) is defined as mass divided by volume: $$\rho = \frac{m}{V}$$
Projectile Motion
1. **State the problem:** A projectile is launched from a platform 5 meters above the ground with an initial velocity $v_0 = 40$ m/s at an angle $\theta = 60^\circ$. We need to fin