Answer:
The astronaut will be propelled towards the shuttle at the rate of 0.4 m/s.
Explanation:
Given;
mass of the astronaut, m₁ = 95 kg
mass of the hammer thrown, m₂ = 2 kg
velocity of the hammer, v₂ = 19 m/s
let the recoil velocity of the shuttle = v₁
Apply the principle of conservation of linear momentum;
m₁v₁ = m₂v₂
v₁ = m₂v₂/m₁
v₁ = (2 x 19) / 95
v₁ = 0.4 m/s
Therefore, the astronaut will be propelled towards the shuttle at the rate of 0.4 m/s.
Answer:(a)10 ft/s
(b)4 ft/s
Explanation:
Given
height of light 
height of man

From diagram



differentiate both sides

Tip of shadow is moving at the rate of

(b)rate at which length of his shadow is changing
Length of shadow is 
differentiating w.r.t time


One of the major limitations of using the ball and stick model for DNA, is that within a single double stranded segment of DNA, one would have to use many many balls to represent atoms that are present in the sugar phosphate backbone, along with all of the main atoms that compose the nitrogenous bases of DNA, we also cannot construct or show the helical form of DNA, by using balls and sticks as well.