We are given with the data that says the probability that a battery will last 10 hr or more is 0.8 and the probability <span>that it will last 15 hr or more is 0.11. In this case, the probability that the battery lasts at least 10 hours and even 15 hrs more is 0.11 / 0.8 or equal to 13.75 percent.</span>
The solution for this problem is:
Work it backwards: spring U = ½kx² = ½ * 4000N/m * (0.10m) ²
= 20 J
so the pre-impact of KE = 20 J = ½ * m * v² = ½ * 0.40kg * v²
v = 10 m/s → for the bullet/block.
Now conserve the momentum:
50g * u = 400g * 10m/s
u = 80 m/s is the arrow
velocity
Answer:
Height of cliff = S = 20 m (Approx)
Explanation:
Given:
Initial velocity = 8 m/s
Distance s = 16 m
Starting acceleration (a) = 0
Computation:
s = ut + 1/2a(t)²
16 = 8t
t = 2 sec
Height of cliff = S
Gravitational acceleration = 10 m/s
S = 1/2a(t)²
S = 1/2(10)(2)²
Height of cliff = S = 20 m (Approx)