The greatest ocean depths on earth are found in the Marianas Trench near the Philippines, where the depth of the bottom of the t
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Answer:
Speed of faster train equals 29 mph
Explanation:
Let the speed of slower train be 'x' miles per hour and the speed of faster train be 'y' miles per hour.
Distance that slower train covers in 2 hours=
Distance that faster train covers in 2 hours=
Since they move at right angles the distance between them can be found by Pythagoras formula as
It is given that
Using this in the above equation we get
This is a quadratic equation in 'x'
Comparing with standard quadratic equation we get value of x as
Thus speed of faster train = 28.58 mph
Speed of faster train = 19 mph
Answer:
Explanation:
The cars are moving away from the intersection at 90° from each other. The motion can be considered a right angled triangle with perpendicular and base being the speeds of the 2 cars. The hypotenuse is the linear distance between them. By Pytagoras theorem:
a) Distance= where a and b are the speeds of 2 cars.
Distance = =77.2t feet/second
b) Time = 2 hours 45 minutes; Convert this into seconds to get 9900 seconds. The distance formula will give distance in feet so we will divide it by 5280 to get miles
Distance= (77.2*9900)/5280 = 144.8 miles
c) 1 Miles = 5280 feet.
5280=77.2t;
Time=68.4 seconds;
The 2 cars are 1 miles apart after 68.4 seconds.
Answer:
b. the cylinder
Explanation:
From the information given:
We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.
Taking their moments:
For the solid sphere;
=
The moment of inertia of the cylinder,
The moment of inertia of rod,
The rotational kinetic energy is directly corresponding to the moment of inertia.
Thus, the cylinder has the greatest rotational kinetic energy.