1) c. 2 m/s
Explanation:
The relationship between frequency, wavelength and speed of a wave is

where
v is the speed
is the wavelength
f is the frequency
For the wave in this problem,
f = 4 Hz

So, the speed is

2) a. 2.8 m/s
The speed of the wave on a string is given

where
T is the tension in the string
is the linear mass density
In this problem, we have:
(final tension in the rope, which is twice the initial tension)
--> mass density of the rope
Substituting into the formula, we find

A motor takes in electricity from a cell or power source and then uses it to move components.
Therefore the answer is (1) Electrical to Mechanical
Answer:
is the compression in the spring
Explanation:
Given:
- mass of the bullet,

- mass of block,

- stiffness constant of the spring,

- initial velocity of the spring just before it hits the block,

<u>Now since the bullet-mass gets embed into the block, we apply the conservation of momentum as:</u>



Now this kinetic energy of the combined mass gets converted into potential energy of the spring.



is the compression in the spring
Answer:
b. 9.5°C
Explanation:
= Mass of ice = 50 g
= Initial temperature of water and Aluminum = 30°C
= Latent heat of fusion = 
= Mass of water = 200 g
= Specific heat of water = 4186 J/kg⋅°C
= Mass of Aluminum = 80 g
= Specific heat of Aluminum = 900 J/kg⋅°C
The equation of the system's heat exchange is given by

The final equilibrium temperature is 9.50022°C
Answer:

Explanation:
Dimensional analysis is attached.