Answer:
Explanation:
x = < 20, 7, -1 > m
y = < 25, 9, - 5> m
t = 0.1 s
Displacement between x and y is given by
z = y - x
z = < 25 - 20, 9 - 7, - 5 + 1>
z = < 5, 2, - 4 >
Magnitude of displacement is given by
= 6.71 m
Average velocity = total displacement / total time = 6.71 / 0.1 = 67.1 m/s
Answer:
(a) 693.12 torr
(b) 68.5 kilopascals
(c) 0.862 atmosphere
(d) 1.306 atmospheres
(e) 36.74 psi
Explanation:
(a) 0.912 atm = 0.912 atm × 760 torr/1 atm = 693.12 torr
(b) 0.685 bar = 0.685 bar × 100 kPa/1 bar = 68.5 kPa
(c) 655 mmHg = 655 mmHg × 1 atm/760 mmHg = 0.862 atm
(d) 1.323×10^5 Pa = 1.323×10^5 Pa × 1 atm/1.01325×10^5 Pa = 1.306 atm
(e) 2.50 atm = 2.50 atm × 14.696 psi/1 atm = 36.74 psi
We can work out the gain in GPE of the box. I'm going to take g to be 9.81 however if your qualification takes g to be 10 you'll need to change it in all the workings:
GPE = mgh
= 400 x 9.81 x 10
=39240J
So, the machine has given 39240J of energy to the box.
Therefore the minimum power generated by the motor is:
39240/8=4905W = 4.9 x 10^3 W
Note this is the <em>minimum</em> possible power generated by it and it is almost certain (well completely certain in the real world) that it will generate far more power than that because it will not be 100% efficient.
The object that is subjected to a steady centripetal force moves in a circular motion. If this force suddenly disappear, the object moves in a direction tangential to the circle with respect to the last direction of the centripetal force.