The figure mentioned on the question is in the attachment.
Answer: a)
= - 38.35N
b)
= 30.5 N
c)
= 27.45 N
d) a = - 13.16 m/s²
Explanation: A block on an inclined plane has 3 forces acting on it:
- Force due to gravity
= m.g; - Normal Force due to the plane;
- Force of Friction
= µ.N;
Since the plane is inclined, Normal Force is equal the y-component of the force due to gravity and Force of friction and the x-component of the force due to gravity are opposite forces.
The second attachment ilustrate the forces acting on the block.
Calculating:
A) The magnitude of the x-component of Force due to gravity:
According to the second image:
= P.sinθ
= 5.9.8.sin(36.8)
= - 38.35 N
B)
=
= m.g.cosθ
= 5.9.8.cos(36.8)
= 30.5 N
C)
= 0.9.30.5
= 27.45 N
D) For the acceleration, use Newton's Law:
= m . a
If there is movement, it is only on x-axis, so the net force is:
-
= m.a
- 38.35 - 27.45 = 5a
a = - 13.16 m/s²
The value of acceleration shows there is <u>no</u> <u>movement</u> on the x-axis due to the friction.
The JWST is postioned about 1.5 million kilometers from the earth on the side facing away from the sun
5 a)
Start by arranging the materials by the sonic speed and then their physical state:
- Copper (solid)
- Glass (solid)
- Wood (solid)
- Sea Water (liquid)
- Acetone (liquid)
- Alcohol (liquid)
- Helium (gas)
- Carbon dioxide (gas)
What trend do you identify from these data? Here's what I've got:

5 b)
The way microscopic particles are arranged in a substance helps distinguish between different physical states:
- Particles in a solid are held tightly in place with small separation in between; it's hard for particles in a solid to move past one another; solids therefore have shapes that persists over time.
- Particles in a gas are highly mobile- they keep moving AT ALL TIMES. There are large separations between individual particles and therefore gases tend to show no definite shape or volume.
- The arrangement of particles in a liquid is located somewhere in between that of solids and gases. The exact configuration is dependent on the nature of the liquid- for example, molecules in maple syrup are held way closer to each other than those in distilled water are.
Sound travels as a longitudinal wave. As a sound wave passes through a medium, individual particles become excited and gain energy; as they run into others they transfer their energy to the next particle; the sound wave thus propagate across the medium. With a lower average distance between individual particles this action can proceed at a greater rate in average solids than in average liquids, and in average liquids than in average gases. Hence the trend.
Answer:
For the distance range 50 to 500 km, the S-waves travel about 3.45 km/s and the P-waves around 8 km/s.
hope it helps.