Answer:
5.6
Explanation:
F=kx is the formula for spring force. If Extension versus Force was graphed, a linear relation would appear, where the slope is the k value, aka the spring constant.
Answer:
116.1 kgm²/s
1.12718 rad/s
Decreases
Explanation:
m = Mass of girl = 43 kg
M = Mass of roundabout = 120 kg
v = Velocity of roundabout = 2.7 m/s
r = Radius of roundabout = 1 m = R
I = Moment of inertia
Her angular momentum

Magnitude of angular momentum is 116.1 kgm²/s
Here the angular momentum is conserved

Angular speed of the roundabout is 1.12718 rad/s
Initial kinetic energy

Final kinetic energy

The overall kinetic energy decreases as can be seen. This loss is converted to heat.
Answer:
A. The time it takes the projectile to reach the top of its path is about 1 second.
Explanation:
Hi there!
The equation of the velocity of a projectile fired straight up is the following:
v = v0 + g · t
Where:
v = velocity of the projectile.
v0 = initial velocity.
g = acceleration due to gravity (≅ -9.8 m/s² considering the upward direction as positive)
t = time.
When the projectile reaches the top of its path, its velocity is zero, then, using the equation of velocity, we can solve it for the time:
v = v0 + g · t
0 = 10 m/s - 9.8 m/s² · t
t = -10 m/s / -9.8 m/s²
t = 1.0 s
The time it takes the projectile to reach the top of its path is about 1 second.
Full night on earth since the gravitational pull is far less compared to Jupiter's gravitational pull. Hope this helps.
Answer:
Carroll has spent his career studying how evolution occurs at the genetic level, pinpointing many of the molecular changes that lead to new traits and new species. Most of Carroll's discoveries have come to light by studying the common fruit fly Drosophila melanogaster, the workhorse of modern molecular genetics.
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