Given that,
Mass of a tribble, m = 2.5 kg
Radius, r = 1.4 m
The force on the tribble from the bucket does not exceed 10 times its weight.
To find,
The maximum tangential speed.
Solution,
The force acting on the tribble is equal to the centripetal force.
F = 10mg
The formula for the centripetal force is given by :

v is maximum tangential speed

So, the maximum tangential speed is 11.7 m/s.
If you are stationary, but in/on a moving vehicle/object you can be at rest and moving at then same time.
<u>Explanation</u>:
- A particle, when viewed from a given frame of reference, cannot be both at rest and in motion. However, in one frame of reference, a particle can be in motion whereas in another frame of reference the particle is in motion.
- For example, if you are seated in a plane, the plane is stationary in that reference frame and the Earth moves under it, but in the reference frame of the Earth, the plane is moving concerning the Earth. When you are standing still on Earth, in your frame of reference, the Earth is stationary, and the Sun and stars move around the Earth.
- However, in the frame of reference of the center of our solar system, the Earth orbits the Sun and the Sun are perturb slightly by the rest of the planets, but the rest of the galaxy orbits our solar system. Of course, in rest from our Galaxy, our solar system orbits a giant black hole at its center.
Answer:
The formula is dimensionally correct.
Explanation:
Given

Required
Prove its correctness
Write out the dimension of each:
--- displacement
--- velocity * time
--- acceleration * square of time
The expression becomes:


Apply law of indices



Both sides of the equation are equal