Answer: 37.5 km
Explanation:
The question is that
If you ran 15 km/hr for 2.5 hours, how much distance would you cover ?
Where
Speed = 15 km/ hr
Time = 2.5 hours
Using the formula for speed.
Speed = distance/time
Substitute speed and time into the formula
15 = distance/ 2.5
Make distance the subject of formula by cross multiplying.
Distance = 15 × 2.5
Distance = 37.5 km.
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 

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Answer:
Explanation:
mass of the astronaut including the spacesuit, 
distance of astronaut from the spaceship, d = 13 m
mass of the oxygen tank, m = 3 kg
Speed of tank with respect to spaceship, 
a)
<u>Using the conservation of linear momentum:</u>
total momentum before collision = total momentum after collision



b)
She mush hold her breath until she reaches the spaceship, i.e.



ocean waves because its not artificial