The kinetic energy (KE) of a 0.155 kg arrow that is shot from ground level, upward at 31.4 m/s, when it is 30.0 m above the ground is 30.85 J
Assuming air friction is negligible,
a = - 9.8 m / s²
u = 31.4 m / s
s = 30 m
v² = u² + 2 a s
v² = 31.4² + ( 2 * - 9.8 * 30 )
v² = 985.96 - 588
v² = 397.96 m / s
KE = 1 / 2 m v²
KE = 1 / 2 * 0.155 * 397.96
KE = 0.0775 * 397.96
KE = 30.85 J
Therefore, the kinetic energy ( KE ) when it is 30.0 m above the ground is 30.85 J
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Float. This is because water has a density of 1 g/ml, so anything less than this will float.
Answer:
5.68 m/s
Explanation:
The motion of the salmon is the same as a projectile: it is launched with an initial speed
at an angle of
above the horizontal.
The motion of the salmon consists of two indipendent motion:
- Along the horizontal direction, it is a uniform motion with constant velocity
So that the distance travelled is
(1)
- Along the vertical direction, it is a uniformly accelerated motion with constant acceleration downward, so the vertical displacement is
(2)
where g is the acceleration of gravity.
We know the following:
- The horizontal distance travelled by the salmon to reach the waterfall is
d = 2.33 m
- The vertical distance travelled is the height of the waterfall,
y = 0.488 m
From (1) we get:

And substituting into (2), we can solve the equation to find t, the time at which the salmon reaches the waterfall:

And then, we can use eq.(1) again to find the initial speed, u:

Assuming there is no force of friction...
F = ma
F = (1300kg)(1.5m/s^2)
F = 1950N
Just multiply mass by acceleration.
1300 x 1.5 = 1950N.
Answer:
It will take 29.31 seconds for the Boxster to catch the Scion
Explanation:
Given the data in the question;
lets say Toyota Scion xB is car A and Porsche Boxster convertible is B and Toyota Scion xB is car A
the distance travelled by car A is
x =
× t
where
is the speed of the car and t is time
the distance travelled by car B before reaching car A will be;
x + x₀ =
× t
Now lets replace x by
× t
so
(
× t) + x₀ =
× t
x₀ = (
× t) - (
× t)
x₀ = t (
-
)
t = x₀ / (
-
)
so we substitute
t = 170 m / (24.4 - 18.6)
t = 170 / 5.8
t = 29.31 s
Therefore; it will take 29.31 s for the Boxster to catch the Scion