Answer:
22.02 m
Explanation:
given,
Force, F = 107 N
angle made with horizontal = 13.5◦
Power develop by the lawn roller = 69.4 W
time = 33 s
distance = ?
Force along horizontal= F cos θ
= 107 cos 13.5°= 104 N
Power = 
69.4 = 
W = 2290.2 J
Work done= Force x displacement
displacement= 
= 22.02 m
Answer:

Explanation:
When the rock is immersed in unknown liquid the forces that act on it are shown as under
1) Tension T by the string
2) Weight W of the rock
3) Force of buoyancy due to displaced liquid B
For equilibrium we have 
=
When the rock is suspended in air for equilibrium we have

When the rock is suspended in water for equilibrium we have
+
=
Using the given values of tension and solving α,β,γ simultaneously for
we get

Solving for density of liquid we get


Answer:
C. It speeds up, and the angle increases
Explanation:
We can answer by using the Snell's law:

where
are the refractive index of the first and second medium
is the angle of incidence (measured between the incident ray and the normal to the surface)
is the angle of refraction (measured between the refracted ray and the normal to the surface)
In this problem, light moves into a medium that has lower index of refraction, so

We can rewrite Snell's law as

and since

this means that

which implies

so, the angle increases.
Also, the speed of light in a medium is given by

where c is the speed of light and v the refractive index: we see that the speed is inversely proportional to n, therefore the lower the index of refraction, the higher the speed. So, in this problem, the light will speed up, since it moves into a medium with lower index of refraction.
Answer:
Explanation:
I ASSUME you mean acceleration is 3 m/s²
v² = u² + 2as
s = (v² - u²) / 2a
s = (18² - 12²) / (2(3))
s = 30 m
to verify we can see that the acceleration time is
t = (18 - 12) / 3 = 2 s
s = 0 + 12(2) + ½(3)2² = 30 m