Answer:
Tangential speed of objects on the planet’s surface = 241 m/s
Explanation:
Speed is given by the ratio of distance traveled to the time.
Radius of mars, r = 3397 km = 3.397 x 10⁶ m
Distance traveled = 2πr = 2 x π x 3.397 x 10⁶ = 2.13 x 10⁷ m
Time taken = 24.6 hours = 24.6 x 60 x 60 = 88560 s
Tangential speed of objects on the planet’s surface = 240.51 m/s = 241 m/s
Answer:
Explanation:
<u>Instant Velocity and Acceleration </u>
Give the position of an object as a function of time y(x), the instant velocity can be obtained by
Where y'(x) is the first derivative of y respect to time x. The instant acceleration is given by
We are given the function for y
Note we have changed the last term to be quadratic, so the question has more sense.
The velocity is
And the acceleration is
Answer:
19.5°
Explanation:
The energy of the mass must be conserved. The energy is given by:
1)
where m is the mass, v is the velocity and h is the hight of the mass.
Let the height at the lowest point of the be h=0, the energy of the mass will be:
2)
The energy when the mass comes to a stop will be:
3)
Setting equations 2 and 3 equal and solving for height h will give:
4)
The angle ∅ of the string with the vertical with the mass at the highest point will be given by:
5)
where l is the lenght of the string.
Combining equations 4 and 5 and solving for ∅:
6)