Even though it's not very popular these days, I like our system . Getting together to talk about who the best candidate might be
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Neither side of the equation may be used because there are too many unknown quantities before, during, and after the collision
Explanation:
The impulse theorem states that the change in momentum of an object is equal to the impulse, which is the product between the average force applied and the duration of the collision:
where
is the change in momentum
F is the average force
is the duration of the collision
In this problem, neither side of the equation can be used to measure the change in momentum. In fact:
- The change in momentum (left side) is given by
where
m is the mass of the object
u is the initial velocity
v is the final velocity
Here the final velocity is not known, so it's not possible to use this side of the equation
- The impulse (right side) is given by
here the average force is known, however the duration of the collision is not known, so it's not possible to use this side of the equation.
Learn more about momentum:
#LearnwithBrainly
Let be the height of the building and thus the initial height of the ball. The ball's altitude at time
is given by
where is the acceleration due to gravity.
The ball reaches the ground when after
. Solve for
:
so the building is about 16 m tall (keeping track of significant digits).
Answer:
18.4 m
Explanation:
(a)
The known variables in this problem are:
u = 1.40 m/s is the initial vertical velocity (we take downward direction as positive direction)
t = 1.8 s is the duration of the fall
a = g = 9.8 m/s^2 is the acceleration due to gravity
(b)
The vertical distance covered by the life preserver is given by
If we substitute all the values listed in part (a), we find