Answer:

Explanation:
Centripetal acceleration (a) is defined as the square of an object's velocity (V^2) divided by the distance of the object from it's point/axis of revolution (r). So:

which allows us to solve for the velocity:

Answer:
work = 0
Explanation:
Let's remember that work is defined as the product of a force by a distance. Distance is the physical path displaced by the body under the action of that force.
W = F * d
where:
W = work [J]
F = force [N]
d = distance [m]
In this case, the toy is held at a height, there is no displacement from one point to another. So there is no work and this is equal to zero.
W = (2*9.81) * 0 = 0 [Joules]
Answer:
See the explanation below
Explanation:
To solve this problem we will take the definition of linear momentum, which tells us that momentum is equal to the product of mass by the velocity vector. Since velocity is a vector, we will take the right-hand movement as positive and the left-hand movement as negative, the left-hand members are taken as before the collision and the right-hand members as after the collision
ΣM1 = ΣM2
(m1*v1) + (m2*v1) = (m1*v2) + (m2*v2)
V1 = velocity before the collision [m/s]
V2 = velocity after the collision [m/s]
m1 and m2 = mass of the vehicles [kg]
Therefore:
(240*2.3) - (260*2.7) = - (240*2.9) + (260*2.1)
Resolving this arithmetic operation we will have:
720 - 702 = - 696 + 546
- 150 = - 150
We can see that before the crash and after the crash the momentum is preserved