How could you mathematically solve for the minimum amount of colors needed for each face of an icosahedron or any regular polyhedron to not touch? (E.g. a tetrahedron pyramid would need four unique colors.)
Homework Statement
What is the orbital speed of a satellite of mass 490 kg in geostationary orbit?
Homework Equations
Fg= G m1m2/r
The Attempt at a Solution
I don't really know where to begin... I know the period is 24 hours because it is geostationary, and the height is 35880...
Homework Statement
A train has a speed of v = 66.5 km/h. If the acceleration experienced by the passengers is to be less than 0.35 g, (g = 9.81 m/s2), find the smallest radius of curvature R acceptable for the track.
Homework Equations
A=v^2/r
a=(mv^2)/r
The Attempt at a Solution...
Homework Statement
What is an example of an elastic equation on earth?
Homework Equations
N/A
The Attempt at a Solution
Is a ball bouncing on the ground a good example of an elastic collision? (If it is)
Homework Statement
A drunk driver strikes a parked car. During the collision the cars become entangled and slide to a stop together. The drunk driver's car has a total mass of 742 kg, and the parked car has a total mass of 776 kg. If the cars slide 18 m before coming to rest, how fast was the...
I don't see what you mean? The variables are Walts total mass= 128 Kg. Wolfie total mass= 111 kg Walts velocity= 3.7 m/s and Walts end speed is .26555 m/s...
Homework Statement
Walt and Wolfie collide in bumper cars of mass 50 kg each. Walt has a mass of 78 kg, and Wolfie has a mass of 61 kg. Walt strikes Wolfie from the rear at V = 3.7 m/s. If the collision is elastic, Wolfie is initially at rest, and Walt's final speed is 0.2655 m/s in the same...
Homework Statement
A spring-loaded toy dart gun fires darts with a mass of 104 g. When the spring in the dart gun is compressed 8 cm, the dart flies off with a speed of 11.4 m/s. What is the spring constant of the spring in the dart gun?Homework Equations
W=1/2*k*x^2
V=sqrt(2W/m)
The Attempt...
Homework Statement
A truck carrying a 37 kg crate accelerates uniformly from rest to 77.5 km/hr in 12.2 s. Calculate the work done on the crate by the truck.
Homework Equations
W=Fcos\theta\DeltaD
The Attempt at a Solution
I first changed 77.5 km/hr to 21.257 m/s. Then I...