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[#446] Going up, going down (part E)
We how have:
Net force on m
m
Net force on M
M
ma = T-mg
ma=T−mg
Ma=Mg-T
Ma=Mg−T
Using these results from part D, find a very simple expression for the acceleration a
a in terms of g
g.
Acceleration = _______.
when a falling meteoroid is at a distance above the earths surface of 3 times the earths radius , what is the acceleration due to the earths gravitation
Question 2
SpaceX plans to transport humans to Mars, but experienced a few rocket failures while on initial tests. So suppose the rocket to Mars (without people on board - another test flight) liftoffs from earth, from rest, with an acceleration of 52.0 m/s2. Unfortunately, after 8.15 s, the rocket experiences a failure and shuts off. It then continues to coast upward (with no appreciable air resistance). What is the maximum height the rocket reaches above the surface?
Your doctor has told you to watch your weight. Of course, your weight comprises two factors, so you assume that she wants you to watch both your mass and the local value g. Which explains why you are carrying a small mass m on an elastic band wherever you go. Most of the time, the elastic band is stretched by a distance of 2.1 cm. However, when you have finished lunch, you go into a very tall building and take the high speed lift (or elevator depending on where you live). Soon after the doors close, you notice that the band (which has linear elastic properties) is stretched by a total distance of 3.5 cm.
a) At what rate is the lift accelerating?
b) Your doctor will want to know the factor by which your weight has increased after that lunch. Suppose that you stand on scales in the lift while it is accelerating as described above. According to the scales, your weight has increased by a factor of _____ .
Q8. Calculate the divergence and Curl, of the following functions
a. V= x2 i+3xy^2 j -2xyz k
b. V=xyi+2yz j+3zx k
c. V= y2i +(2xy+z2)j+ 2yz k , where i , j , k are unit vectors along x, y and z axis
Q6. Find the gradient of the following functions
f(x, y, z) = x2y3z4.
f(x, y, z) = exsin(y) ln(z).
A car moves at a constant acceleration and crosses a path of 400m. What is the acceleration if the car takes 10 seconds to cross the third 100m path?
straight up, relative to the train, with a speed of 4.90 m/s. The train
has a velocity of 20.0 m/s due east. As observed by the juggler,
(a) what is the ball’s total time of flight, and (b) what is the displacement of the ball during its rise? According to a friend standing
on the ground next to the tracks, (c) what is the ball’s initial speed,
(d) what is the angle of the launch, and (e) what is the displacement
of the ball during its rise?
#339914 on Dec 2023