Answer:
a) ω1 = 18rpm ω2 = -18rpm
b) ω1 = 102rpm ω2 = 138rpm
c) ω1 = ω2 = 3.18rpm
Explanation:
For the first case, we know that each wheel will spin in a different direction but with the same magnitude, so:
ωr = 6rpm This is the angular velocity of the robot
where D is 30cm and rwheel is 5cm
One velocity will be positive and the other will be negative:
ω1 = 18rpm ω2 = -18rpm
For part b, the formula is the same but distances change. Rcircle=100cm:


Replacing values, we get:


For part c, both wheels must have the same velocity:


What counteracts gravity is buoyancy.
Weight is mass x gravity, so you'd multiply the mass of the astronaut by the gravitational pull.
Yes it may or may not be depending on the angle of the ramp. But if nothing is specified then it must be related to acceleration as friction is neglected.
Explanation:
do we can say that the first step is finding the acceleration of the object. We do so by saying F = ma
so a = F/m
a = 500 m/s^2
we now have the time, acceleration and initial velocity.
so we can find the final velocity by using one of newtons equations which is: vf = vi + at
so:
vf = 0 + 500 × 12
vf = 6000
note that our initial velocity was zero since the object was initially at rest.
if you still have any doubt dont hesitate to ask for further help.