Answer:
The time required by the Athlete to work off 1.00 lb of body fat = 0.296 minute
Explanation:
1 lb of body fat = 4.1 k cal
1 k cal = 4.184 Kilo joule
1 lb of body fat = 4.1 × 4.184 = 17.1544 Kilo joule
Athlete expends 3480 Kilo joule in one hour
⇒ Time required to expand 3480 Kilo joule = 60 minute
⇒ Time required to expand 1 Kilo joule =

⇒ Time required to expand 17.1544 Kilo joule =
× 17.1544 = 0.296 min
Therefore the time required by the Athlete to work off 1.00 lb of body fat = 0.296 minute
Answer:
Dy = 111.66 [m]
t = 3.5 [s]
Explanation:
To solve this problem we must use the equations of kinematics.

where:
Vf = final velocity [m/s]
Vo = initial velocity = 27 [m/s]
g = gravity acceleration = 9.81 [m/s²]
t = time = 3.5 [s]
Note: The negative sign of the equation means that the gravity acceleration goes in opposite direction
Vf = 27 - (9,81*3,5)
Vf = - 7.33 [m/s] (this negative sign indicates that at this moment the snowball is going downwards)
To find how high the snowball was we must use the following equation:

Dy = (27*3.5) + (0.5*9.81*3.5)
Dy = 94.5 + (17.16)
Dy = 111.66 [m]
Answer:
The number of grains of sand on all the beaches on Earth
Explanation:
if we assume grain of sand has an average size , then the number of grains of sand on all the beaches on Earth is roughly
The total number of stars in the observable universe is roughly equivalent to 1 billion trillion. which is roughly equal to the number of grains of sand on all the beaches on Earth.
Answer:
a)0.0229 m
b)0.393 rad
c)1.57
d)707.6 N
e)0.298 m/s
Explanation:
Given:
- Mass of the machine, m=70 kg
- Stiffness of the system, k=30000 N/m
- Damping ratio=0.2
- Damping force, F=450 N
- Angular velocity

a)We know that the amplitude X at steady state is given by

Where
![X=\dfrac{\dfrac{450}{70}}{\sqrt{20.7^2-13^2)^2 +(2\times 0.2\times20.7\times13)^2}}\\[tex]X=0.0229\ \rm m](https://tex.z-dn.net/?f=X%3D%5Cdfrac%7B%5Cdfrac%7B450%7D%7B70%7D%7D%7B%5Csqrt%7B20.7%5E2-13%5E2%29%5E2%20%2B%282%5Ctimes%200.2%5Ctimes20.7%5Ctimes13%29%5E2%7D%7D%5C%5C%5Btex%5DX%3D0.0229%5C%20%5Crm%20m)
b) The phase shift of the motion is given by

c)Transmissibility ratio is given by

d)The magnitude of the force transmitted to the ground is

e)The maximum velocity is given by 

A. Tolerance. When you have an "Us vs Them" mentality it can never lead to acceptance.