b.) how long will it take for the swimmer to cross the river, if the distance from the starting point to the dock is 300 m?
Please show all your work, thanks
a)The direction that she must aim herself through the water to arrive at the dock will be 73.7°.
b)The time it takes for the swimmer to cross the river will be 240 seconds.
Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.
Given data;
The maximum speed of the swimmer In still water,v=1.25m/s.
Speed of river = 0.35m/s [E]
α is the direction that she must aim herself through the water to arrive at the dock.
t is the time it takes for the swimmer to cross the river
The distance from the starting point to the dock is,s = 300 m
If the swimmer were to swim straight, the water's speed along the x-axis would have to match that of the swimmer.
α is the angle between vx and v
The value of the
The time that the swimmer will use for reaching the dock;
s = V×t
t = s/(v)
t=300 m / 1.25 m/sec
t = 240 seconds
Hence, the direction that she must aim herself through the water to arrive at the dock. and it takes for the swimmer to cross the river will be 73.7° and 240 seconds respectively.
To learn more about the speed refer to the link;
#SPJ2
Explanation:
As you can see in the picture, we want the swimmer to go on a straight line, so the speed of the water must be equal to the speed of the swimmer along the x-axis. We also know the value of v, so we can calculate the of the cosine of the angle (alpha) between Vx and V. Thanks to the fundamental relation of gioniometry (cos^2(x) + sin^2(x) = 1) we can find the sine of alpha and calculate Vy. With Vy we can calculate the time that the swimmer will use for reaching the dock: s = Vy * t => t = s/(Vy).
I'll let you do all the calculations, you just have to plug in values.
The period of simple harmonic motion remains unchanged when the mass of the object is doubled.
Simple harmonic motion (SHM) is a type of periodic motion where an object oscillates back and forth around a fixed point in a regular and repeated manner. It is a special case of periodic motion, characterized by a restoring force that is proportional to the displacement from the equilibrium position. The classic example of SHM is a mass-spring system, where a mass is attached to a spring and is subjected to a restoring force proportional to the displacement from its rest position.
In SHM, the motion is always sinusoidal and the period of the motion is constant, which means that the time for one complete cycle of the motion remains the same. This type of motion is important in a variety of physical systems, including the vibration of mechanical systems, the oscillations of electrical circuits, and the motion of particles in a gravitational field.
Learn more about simple harmonic motion, here:
#SPJ6
greater if the tuning fork were
(1) struck more softly
(2) struck harder
(3) replaced by a lower frequency tuning fork
(4) replaced by a higher frequency tuning fork
Answer:
It is the gravity of the angles that connect with the egg and the angles of it