Answer: Volume = 1080m^3
Explanation:
Given that the prism has a 15 m by 18 m rectangular base and a height of 4 m
Volume is the product of length, breath and height. That is
Volume = L × B × H
Where
L = 18 m
B = 15m
H = 4m
Using the formula above gives:
Volume V = 18 × 15 × 4
V = 1080 m^3
Answer:

Explanation:
Given
--- Surface Tension
--- Radius
Required
Determine the required force
First, we calculate the circumference (C) of the circular plate





The applied force is then calculated using;


Answer:
a) V = 465.9 m/s
b) θ = 70.529°
Explanation:
Let's first calculate angular velocity of earth:

Velocity of a person on Ecuador will be:


For part b, since angular velocity is the same:

Solving for θ:


Answer:
The acceleration of the cart is 1.0 m\s^2 in the negative direction.
Explanation:
Using the equation of motion:
Vf^2 = Vi^2 + 2*a*x
2*a*x = Vf^2 - Vi^2
a = (Vf^2 - Vi^2)/ 2*x
Where Vf is the final velocity of the cart, Vi is the initial velocity of the cart, a the acceleration of the cart and x the displacement of the cart.
Let x = Xf -Xi
Where Xf is the final position of the cart and Xi the initial position of the cart.
x = 12.5 - 0
x = 12.5
The cart comes to a stop before changing direction
Vf = 0 m/s
a = (0^2 - 5^2)/ 2*12.5
a = - 1 m/s^2
The cart is decelerating
Therefore the acceleration of the cart is 1.0 m\s^2 in the negative direction.
Answer:
They slow down.
Explanation:
The collided so the slow down till they stop.