🔭 physics
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Plane Wind Velocity
1. The problem involves a plane flying with a wind blowing from the West at 15 km/h and the plane's airspeed is 90 km/h.
2. We want to find the resultant velocity of the plane cons
Northward Speed
1. The problem asks for the northward speed over the ground in part B.
2. To find the northward speed over the ground, we need to consider the velocity components involved.
Direction Assumption
1. The question about why two objects need to go in opposite directions usually arises in problems involving relative motion or forces.
2. Even if the problem does not explicitly s
Wind Corrected Bearing
1. **State the problem:** You want to fly North relative to a stationary observer while there is a wind blowing from the West at 15 km/h. Your airspeed (speed relative to the air)
Wind Corrected Bearing
1. **State the problem:** You want to fly North relative to a stationary observer while there is a wind blowing from the West at 15 km/h. Your airspeed (speed relative to the air)
Swimming Direction
1. **State the problem:** You want to swim so that your overall direction is North relative to a stationary observer, but the river current flows East at 0.40 m/s, and you can swim
Force Components
1. **State the problem:** We have three forces: 8 N vertically upward, 15 N horizontally right, and 20 N at 150° from the horizontal force. We need to find the components of the re
Force Components
1. **State the problem:** We have three forces: 15 N horizontally right, 8 N vertically up, and 20 N at 150° from horizontal. We need to find the components of the resultant force
Resultant Force
1. **State the problem:** We have three forces acting at point O:
- Force $F_1 = 5$ N at $40^\circ$ from the vertical (y-axis) to the left (which corresponds to $130^\circ$ from th
Resultant Magnitude
1. The problem asks for the magnitude of the resultant vector given multiple vectors.
2. To find the magnitude of the resultant vector, first sum the components of all vectors in t
Force Components
1. **State the problem:** We have three forces acting at point O: a 5 N force at 40° to the y-axis (top-left), and two 8 N forces each at 30° to the x-axis (one top-right, one bott
Velocity Graph Analysis
1. **Problem Statement:** Given a velocity-time graph with three segments:
- From $t=0$ to $t=20$ seconds, velocity increases from 25 to 60 m/s.
Angular Velocity
1. **State the problem:** A gymnast swings through two revolutions in 1.90 seconds. We need to find the average angular velocity.
2. **Recall the formula for average angular veloci
Arc Length
1. **State the problem:** We need to find the arc length $s$ between two synchronous satellites orbiting at radius $r = 4.23 \times 10^7$ m with an angular separation $\theta = 2^\
Light Intensity Distance
1. The problem states that light intensity is given by the formula $$\text{Light intensity} = \frac{1}{\text{distance}^2}$$ and the distance is given as $$\text{distance} = \frac{1
Light Intensity
1. The problem states that light intensity is given by the formula $$\text{Light intensity} = \frac{1}{\text{distance}^2}$$ and the distance is given as $$\text{distance} = \frac{1
Light Intensity Distance
1. The problem states that light intensity $I$ is inversely proportional to the square of the distance $d$, given by the formula:
$$I = \frac{1}{d^2}$$
Relative Permittivity
1. The problem states the inequality $\varepsilon_r > 1$.\n\n2. Here, $\varepsilon_r$ typically represents the relative permittivity (dielectric constant) in physics and electrical
Engine Force
1. **State the problem:** We need to find the force generated by the engine of Pak Abu's car, which has a mass of 800 kg, accelerates at 2 m/s², and experiences a frictional force
Sinusoidal Motion
1. The problem asks for the equation of sinusoidal motion.
2. Sinusoidal motion is typically described by a sine or cosine function representing oscillations.
Ferris Wheel Angle
1. **State the problem:** We need to find the angle between two lines of sight from a point 20 meters away from the center of a Ferris wheel to a rider at times $t=45$ seconds and