Answer:
7.92 m/s
Explanation:
= Mass of raindrop = 
= Mass of mosquito
= Initial Velocity of raindrop = 8.1 m/s
= Initial Velocity of mosquito = 0 m/s
= Velocity of center of mass
For elastic collision

Hence, the velocity of the attached mosquito, falling immediately afterward is 7.92 m/s
Answer:
P = 5880 J
Explanation:
Given that,
The mass of the block, m = 30 kg
The block is sitting at a height of 20 m.
The block will have gravitational potential energy. The formula for gravitational potential energy is given by :

So, the required potential energy is equal to 5880 J.
THE answer the table is holding the book up would be a normal force
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