🔭 physics
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Force On Charge
1. **State the problem:**
We have three charges: $Q_1 = +13$ nC, $Q = +7$ nC, and $Q_2 = +11$ nC. Charge $Q$ is placed midway between $Q_1$ and $Q_2$, which are 17 cm apart. We nee
Pulley Mass
1. **State the problem:** Find the mass of block $B$ in a pulley system in static equilibrium, given the mass of block $D$ and the geometry of the system.
2. **Tension in the rope:
Mass Block B
1. **State the problem:** We have a pulley system with two blocks, B and D, connected by a rope over pulleys. Block D has a mass of 5 kg and hangs vertically a distance $a=2.6$ m b
Satellite Distances
1. **Problem statement:**
(a)(i) Write the distances of satellites A, B, C, D, and E in order from shortest to longest.
Swimming Speed
1. **State the problem:** You swim at 1.0 m/s north relative to the water, and the river flows at 0.30 m/s east. We want to find your speed relative to a ground-based observer.
2.
Relative Speed South
1. **State the problem:** You are rowing south at 9.0 m/s relative to the water, and the river water is flowing south at 1.0 m/s relative to the ground. We need to find your speed
Box Displacement Angle
1. **State the problem:** A box is dropped from an aeroplane 2000 m high, moving horizontally at 100 m/s. It takes 20.2 s to hit the ground. We need to find the angle between the h
Box Displacement
1. **State the problem:** A box is dropped from an aeroplane 2000 m high, moving horizontally at 100 m/s. It takes 20.2 s to hit the ground. We need to find the magnitude of the di
Velocity Components
1. The problem involves finding the components of a velocity vector where the resultant velocity is 90 km/h pointing northwest (NW), and there is an eastward wind velocity.
2. Sinc
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.