Answer:
a. Angle= 28.82°
b. Approved. Although he might feel cold, he should be able to cross.
Explanation:
Velocity Vector
Velocity is a measure of how quickly something is moving in a specific direction. It is represented as a vector that has both magnitude and direction. If an object can only move in one direction, then speed can serve as the scalar equivalent of that velocity (only focusing on magnitude).
a.
The explorer aims to swim across a river to reach his campsite, as depicted in the image below. The river's velocity is vr and the explorer's swimming speed in still water is ve. If he were to swim straight towards the campsite, he would end up downstream due to the river's current. Therefore, he must swim at an angle that allows him to overcome the current while still moving towards his goal. This angle relative to the shore is what we need to determine. The explorer's speed can be broken down into its horizontal (vx) and vertical (vy) components. In order to counteract the river's flow:
We can calculate the vertical component of the explorer's swimming speed as
Thus
Finding the value of 
Then the angle is given by
b.
The component of the explorer's velocity that goes horizontally is
This represents the actual velocity directed towards the campsite
Considering that
To find t
Calculating the duration for the explorer to cross the river
As this time is under the hypothermia threshold (300 seconds), the conclusion is
Approved. Although he will feel cold, he should manage to cross successfully.
Answer:
x = 0.29 m
Explanation:
It is known that the total external force acting on the mass system equals ZERO,
so the center of mass of the entire system will stay stationary.
We find that
Since Ernie approaches Burt's position, we have:
therefore, we conclude that
B) 14.0 N
To address this inquiry, we need to evaluate the kinetic energy of the box before and after crossing the rough section. The kinetic energy is given by the formula:
E = 0.5 M V^2
where
E = Energy
M = Mass
V = velocity
Now, utilizing the known data, we compute the energy prior and post.
Before:
E = 0.5 M V^2
E = 0.5 * 13.5kg * (2.25 m/s)^2
E = 6.75 kg * 5.0625 m^2/s^2
E = 34.17188 kg*m^2/s^2 = 34.17188 joules
After:
E = 0.5 M V^2
E = 0.5 * 13.5kg * (1.2 m/s)^2
E = 6.75 kg * 1.44 m^2/s^2
E = 9.72 kg*m^2/s^2 = 9.72 Joules
Hence, the box consumed energy equal to 34.17188 J - 9.72 J = 24.451875 J over a length of 1.75 meters. Next, we will calculate the loss per meter by dividing the energy loss by the distance traversed.
24.451875 J / 1.75 m = 13.9725 J/m = 13.9725 N
When we round to one decimal point, we arrive at 14.0 N, which corresponds with option “B.”
The fundamental equation is derived from Mr. Planck: E=h \nu, where h is Planck’s constant and ν is the frequency. This relationship describes the energy per photon at a specific frequency. Although a wavelength is provided, it can easily be converted to frequency using the equation: c= lambda / nu, where c denotes the speed of light; λ (lambda) is the wavelength; and ν is the frequency. Once the energy of a photon with a wavelength of 550nm is determined, it will show how many photons are needed to gather 10^-18J. Remember to pay attention to the units.
The velocity of the apple right before impact with the ground is approximately 26.2005 m/s, while its initial velocity was about 25.8235 m/s.
So, the final velocity (Vf) equals 26.2005 m/s,
and the initial velocity (Vi) equals 25.8235 m/s.
This difference in velocity arises because the apple was thrown from a starting height of 1 meter.
