Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Plane C. Cone D. Half plane E. Sphe
re F. Elliptic or Circular Paraboloid
1 answer:
Answer:
A. Circular Cylinder
r=4
=4 independent from z
B. Plane
ρ cos φ ( )=4
spherical coordinates
z=4
C. Cone
φ = π/3
φ spherical coordinates
D. Half Plane
θ = π/3
Cylindrical Coordinates, do not have portion in 3rd quadrant that why its only half a plane.
E. Sphere:
ρ =2cos φ ( )
Spherical Coordinates
ρ =2×z/ρ
=2z
=
=1
F. Elliptic or Circular Parabola
z=
z= =
z=
note: pics are attached
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Answer:
V = 11.83 m/s
Explanation:
Given the following data;
Mass = 2000 kg
Force = 10000N
Distance = 14 m
To find the final velocity of the car;
First of all, we would determine the acceleration of the car;
Acceleration = force/mass
Acceleration = 10000/2000
Acceleration = 5 m/s²
Next, we would use the third equation of motion to find the final velocity;
Where;
V represents the final velocity measured in meter per seconds.
U represents the initial velocity measured in meter per seconds.
a represents acceleration measured in meters per seconds square.
S represents the displacement measured in meters.
Substituting into the equation, we have;
V² = 0² + 2*5*14
V² = 0 + 140
V = √140
V = 11.83 m/s
Explanation:
It is given that,
Mass of the tackler, m₁ = 120 kg
Velocity of tackler, u₁ = 3 m/s
Mass, m₂ = 91 kg
Velocity, u₂ = -7.5 m/s
We need to find the mutual velocity immediately the collision. It is the case of inelastic collision such that,
v = -1.5 m/s
Hence, their mutual velocity after the collision is 1.5 m/s and it is moving in the same direction as the halfback was moving initially. Hence, this is the required solution.
The units are not consistent - 1 m/s is not the same as 1 km/h.
First thing to do would be to convert from one unit of speed to the other, say km/h to m/s. There are 1000 meters (m) for every kilometer (km) and 3600 seconds (s) for every hour (h), so
So in fact 1 km/h is about 4 times slower than 1 m/s.