a cart's initial velocity is +3.0 meters per second. What is its final velocity after accelerating at a rate of 1.5m/s2 for 8.0
1 answer:
The final velocity is +15.0 m/s
Explanation:
The motion of the cart is a uniformly accelerated motion (=at constant acceleration), therefore we can use the following suvat equation:
where
v is the velocity at time t
u is the initial velocity
a is the acceleration
t is the time
For the cart in this problem, we have:
u = +3.0 m/s (initial velocity)
(acceleration)
t = 8.0 s (time)
Substituting, we find the final velocity:
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Answer:
Temperature at the bottom will be 19.18°C
Explanation:
We have given height h = 807 m
Temperature at the top
Specific heat of water c = 4200
From energy conservation
Kinetic energy at the bottom = potential energy at the top
So
So temperature at the bottom = 17.3+1.88 = 19.18°C
The temperature inside the copper rod varies linearly with the distance from the hot end of the rod. This means that we can find the temperature at 23 cm (let's call it 'point A') from the cool end by solving a linear proportion.
The temperature difference between the two ends of the rod is
and this corresponds to a length of 81 cm. Therefore, we can write:
from which we find
This is not the final answer actually; this is the temperature difference between the cool end and point A. So, the temperature at point A is
The temperature difference between the two ends of the rod is
and this corresponds to a length of 81 cm. Therefore, we can write:
from which we find
This is not the final answer actually; this is the temperature difference between the cool end and point A. So, the temperature at point A is