Answer:
The magnitude of the horizontal displacement of the rock is 7.39 m/s.
Explanation:
Given that,
Initial speed = 11.5 m/s
Angle = 50.0
Height = 30.0 m
We need to calculate the horizontal displacement of the rock
Using formula of horizontal component

Put the value into the formula


Hence, The magnitude of the horizontal displacement of the rock is 7.39 m/s.
Answer:
- The thermal efficiency is 0.4113.
Explanation:
We know that the thermal efficiency is the ratio of work done by the engine over the heat taken

Now, how much work the engine do in a cycle?
We know that the work done in a cycle must be equal to the heat taken minus the heat rejected

So, the thermal efficiency will be:



Putting the values of the problem


Answer:
17.6 m/s²
Explanation:
Given:
= 90 m/s (final velocity)
= 2 m/s (initial velocity)
Δt = 5s (change in time)
The formula for acceleration is:
= Δv / Δt
We can find Δv by doing
Δv =
- 
Replace the values
Δv = 90m/s - 2m/s
Δv= 88m/s
Using the equation from earlier, we can find the acceleration by dividing the average velocity by time.
= Δv / Δt
= 
acceleration = 17.6 
6. gas
7. liquid
8. gas
9. does not change
10. boiling point
Answer:
318.3 nm
Explanation:
We approximate the circular film as a cylinder of height h and radius, r. Its volume V = πr²h. Since this volume equals the volume of the oil drop, the height of the circular film is thus h = V/πr²
V = 10⁻¹⁰ m³ and r = 10 m
Substituting into h, we have
h = 10⁻¹⁰ m³/π(10)²
= 0.3183 × 10⁻¹² m
= 3183 × 10⁻⁹ m
= 318.3 nm