a) Change in Kinetic energy = Work Done

We require Normal Force N,

N + 188 X sin(28.6 ) - m x g = 0

so N = m x g - 188 x sin(28.6)

= 19.7 Kg x 9.8m/s^2 - 188 x sin(28.6)

= 19.7 Kg x 9.8m/s^2 - 188 x 0.478

= 193.06 Kg.m/s^2 - 89.864 N

= 103.196 N

Wvertical = F*x = μ X 103.196 x 48.7 = 0.103 X 103.196 x 48.7

= 517.641 N

Whorizontal = F*x = F x cos(28.6 ) x 48.7

= 188 x cos(28.6 ) x 48.7

= 188 x 0.877 x 48.7

= 8029.46 J

b) V^2 = U^2 + 2 x a x s

V = (2 x a x s)^0.5

= 13.486 m/s

True due to the fact that all scientists have come up with is that dark matter is the main reason that the universe is expanding... and scientists are not that knowledgeable about dark matter and energy... how can you form a law on space expansion when the reason, being dark matter, is not understood completely by people :)

**Answer:**

x = 95 [m]

**Explanation:**

To solve this problem we must use the following equation of kinematics.

where:

Vf = final velocity = 19 [m/s]

Vo = initial velocity = 0 (starts from the rest)

a = acceleration [m/s²]

t = time = 10 [s]

Now we can find the acceleration

19 = 0 *a*(10)

a = 1.9 [m/s]

With the second equation we can find the distance:

where:

x = distance [m]

(19)² = (0)² + (2*1.9*x)

3.8*x = 361

x = 95 [m]

**Answer:**

from the quarter to the block of ice

**Explanation:**

Heat flows from higher temperature to lower temperature until temperature of both bodies are in Equilibrium .

Since block of ice has lower temperature than that of quarter. heat transfer will take from quarter to ice until both have same temperature(in other words temperature are in Equilibrium for quarter and ice)

Answer:

12.5 m/s

Explanation:

From v=u+at

For the first rock

V=0+10*3

V=30m/s

Also s=ut +1/2at^2

S=0+0.5*10*3^2

S=45

The distance of the cliff to the base

For the second rock

s=ut+1/2 at^2

45=u*2+ 0.5*10*2^2

45-20=2u

u=12.5m/s

Velocity possess by the second rock