Answer: 3836.25 cubic ft.
Explanation: Simply find the volume of the pool. In this case it's a rectangular prism so we use the volume equation for a rectangular prism:
1) Volume = length x width x height
2) Volume = 45 ft x 15.5 ft x 5.5 ft
3) 3836.25 cubic ft.
Answer:
402m
Explanation:
We can solve this easily by using the free fall formula:
On both cases the final velocity will be 0m/s (maximum height), so we have:
We know that the velocity the person imparts to the ball will be the same either on Earth or on the Moon, so we write for both cases:
Which means
So we get (taking into account that gravity on earth is 6 times gravity on the Moon):
In this question we have given
velocity of missile=1350m/s
angle at which missile is moving=25degree
distance between missile and targets=23500m
angle between target and missile=55degree
time=10.2s
To find the final velocity of missile we will first find the acceleration required
Let x be the horizontal component of distance
x - vertical component of distance
t-time
ax- horizontal component of acceleration
ay-Vertical component of acceleration
Vx-horizontal component of velocity
Vy-Vertical component of velocity
horizontally: x = Vx*t + ½*ax*t²
23500m * cos55.0º = 1350m/s * cos25.0º * 10.20s + ½ * ax * (10.20s)²
ax = 19.2 m/s²
V'x = Vx + ax*t = 1350m/s * cos25.0º + 19.2m/s² * 10.20s = 1419 m/s
similarly vertically:
y = Vy*t + ½*ay*t²
23500m * sin55.0º = 1350m/s * sin25.0º * 10.20s + ½ * ay * (10.20s)²
ay = 258 m/s²
V'y = Vy + ay*t = 1350m/s * sin25.0º + 258m/s² * 10.20s = 3204 m/s
Therefore
V = √(V'x² + V'y²) = 3504 m/s
therefore magnitude of final velocity of missile=3504m/s
A) atoms break up in extreme heat
B) atoms are rearranged in materials
C) atoms combine in water to form solids
D) atoms of magma cool after a volcanic eruption
b. gravitational
c. electromagnetic
d. attraction-repulsion