Answer:
92km
Explanation:
Given parameters:
Duration of the journey = 6hrs
Average speed = 58km/hr
Now, let us find the total distance of the journey;
Distance = Speed x time
Distance = 58 x 6 = 348km
So;
Average speed for the first 4hrs = 64km/hr
Time = 4hrs
Distance = 64 x 4 = 256km
For the rest of the journey, the student will cover;
= 348km - 256km
= 92km
Answer:
4.49 dollars
Explanation:
i = 9 A, V = 240 V, t = 16 h
Energy = V x i x t = 240 x 9 x 16 = 34560 W h = 34.56 kWh
The cost of 1 kWh is 13 cents.
Cost of 34.56 kWh = 13 x 34.56 = 449.28 cents = 449.28 / 100 = 4.49 dollars
Answer:
7.55 km/s
Explanation:
The force of gravity between the Earth and the Hubble Telescope corresponds to the centripetal force that keeps the telescope in uniform circular motion around the Earth:

where
is the gravitational constant
is the mass of the telescope
is the mass of the Earth
is the distance between the telescope and the Earth's centre (given by the sum of the Earth's radius, r, and the telescope altitude, h)
v = ? is the orbital velocity of the Hubble telescope
Re-arranging the equation and substituting numbers, we find the orbital velocity:

Explanation:
Centripetal Force is the force that keeps the object's rotation in a circular path and it's always directed towards the center of rotation. Mathematically, it is given as,

From this equation it can be concluded that the centripetal force is proportional to the product of mass and the square of velocity. It is inversely proportional to the object's distance from the center.
Now in the above mentioned case, when the cylinder begins spinning very rapidly and it's speed becomes double. Then by applying the above equation we conclude that " the force will be increased four times if the speed is doubled as it is proportional to square of speed."