Complete Question
The complete question is shown on the first uploaded image
Answer:
The temperature change is 
Explanation:
From the question we are told that
The velocity field with which the bird is flying is 
The temperature of the room is 
The time considered is t = 10 \ seconds
The distance that the bird flew is x = 1 m
Given that the bird is inside the room then the temperature of the room is equal to the temperature of the bird
Generally the change in the bird temperature with time is mathematically represented as
![\frac{dT}{dt} = -0.4 \frac{dy}{dt} -0.6\frac{dz}{dt} -0.2[2 * (5-x)] [-\frac{dx}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4%20%5Cfrac%7Bdy%7D%7Bdt%7D%20-0.6%5Cfrac%7Bdz%7D%7Bdt%7D%20-0.2%5B2%20%2A%20%20%285-x%29%5D%20%5B-%5Cfrac%7Bdx%7D%7Bdt%7D%20%5D)
Here the negative sign in 
is because of the negative sign that is attached to x in the equation
So
![\frac{dT}{dt} = -0.4v_y -0.6v_z -0.2[2 * (5-x)][ -v_x]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4v_y%20%20-0.6v_z%20-0.2%5B2%20%2A%20%20%285-x%29%5D%5B%20-v_x%5D)
From the given equation of velocity field
So
![\frac{dT}{dt} = -0.4[0.2t] -0.6[-1.4] -0.2[2 * (5-x)][ -[0.6x]]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4%5B0.2t%5D%20%20-0.6%5B-1.4%5D%20-0.2%5B2%20%2A%20%20%285-x%29%5D%5B%20-%5B0.6x%5D%5D)
substituting the given values of x and t
![\frac{dT}{dt} = -0.4[0.2(10)] -0.6[-1.4] -0.2[2 * (5-1)][ -[0.61]]](https://tex.z-dn.net/?f=%5Cfrac%7BdT%7D%7Bdt%7D%20%3D%20-0.4%5B0.2%2810%29%5D%20%20-0.6%5B-1.4%5D%20-0.2%5B2%20%2A%20%20%285-1%29%5D%5B%20-%5B0.61%5D%5D)
Answer:
The weight of the person has a smaller magnitude.
Explanation:
For an observer in inertial frame of reference for the person in the elevator Newton's Second Law can be written as
Normal reaction acts upwards
Weight acts downwards
Here
N is the normal reaction force
mg is the weight of the person
g is acceleration due to gravity
The amount of work done can be solved using the formula:
Work = Force x Distance = Change in kinetic energy
Kinetic energy can be solved using the formula: KE = (1/2)*m*v^2
So, change in kinetic energy = (1/2)*m*(Vf)^2 - (1/2)*m*(Vo)^2
Where:
Vf = final velocity = 90 kph = 25 m/s
Vo = initial velocity = 72 kph = 20 m/s
substituting the given values:
Work = (1/2)*2500*(25^2) - (1/2)*2500*(20^2) = 281250 J, which can also be expressed as 2.8 x 10^5 Joules.
Among the choices, the correct answer is A.
Answer:
Explanation:
The centripetal acceleration is given by:
Here v is the linear speed and r is the radius of the circular motion. v is defined as the distance traveled to make one revolution (
) divided into the time takes to make one revolution, that is, the period (T).
Replacing (2) in (1) and replacing the given values:
Answer:
It is a superordinate goal because both teams could have helped with the task.
Explanation:
If both teams pushed then they could have made it happened
