Answer:
m = 1 kg
Explanation:
Given that,
The force constant of the spring, k = 39.5 N/m
The frequency of oscillation, f = 1 Hz
The frequency of oscillation is given by the formula as formula as follows :

So, the mass that is attached to the spring is 1 kg.
B is the correct answer on this
Answer:
Option a. the number of transistors per square inch on integrated circuits will double every two years.
Explanation:
Moore's law states that the number of transistors in an integrated circuit will double every two years.
Answer:
The cyclist's average speed is 13.43 
Explanation:
Speed is a quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, speed is the magnitude that expresses the variation in position of an object and as a function of time, which would be the same as saying that it is the distance traveled by an object in the unit of time.
Average speed relates the change in position to the time taken to effect that change:

In this case:
- total distance traveled= 32 km + 15 km= 47 km
- total time= 3 hours that the cyclist travels + 30 minutes of rest = 3 hours + 0.5 hours (being 60 minutes equal to 1 hour, then 30 minutes equals 0.5 hours) = 3.5 hours
Replacing:

and solving, you get:
speed= 13.43 
<u><em>The cyclist's average speed is 13.43 </em></u>
<u><em></em></u>
Answer:
v_f = 24.3 m / s
Explanation:
A) In this exercise there is no friction so energy is conserved.
Starting point. On the roof of the building
Em₀ = K + U = ½ m v₀² + m g y₀
Final point. On the floor
Em_f = K = ½ m v_f²
Emo = Em_g
½ m v₀² + m g y₀ = ½ m v_f²
v_f² = v₀² + 2 g y₀
let's calculate
v_f = √(10² + 2 9.8 25)
v_f = 24.3 m / s