Answer:
Question 1)
a) The speed of the drums is increased from 2 ft/s to 4 ft/s in 4 s. From the below kinematic equations the acceleration of the drums can be determined.

This is the linear acceleration of the drums. Since the tape does not slip on the drums, by the rule of rolling without slipping,

where α is the angular acceleration.
In order to continue this question, the radius of the drums should be given.
Let us denote the radius of the drums as R, the angular acceleration of drum B is
α = 0.5/R.
b) The distance travelled by the drums can be found by the following kinematics formula:

One revolution is equal to the circumference of the drum. So, total number of revolutions is

Question 2)
a) In a rocket propulsion question, the acceleration of the rocket can be found by the following formula:

b) 
Answer:
The answer is given below
Explanation:
Things provided in the statement:
Pressure <em>P1</em> = 120 kPa and <em>P2</em> = 5.6 MP or 5600 kPa
Power, <em>W</em> = 7 kW
Elevation difference = ∆z = 10 m
Mass of flow = m˙
So potential energy changes may be significant
Specific volume of water V= 0.001 m³/kg
Now putting the values in the formula
Power, <em>W </em>= m˙ x V (<em>P1 - P2</em>) + m˙ x g x ∆z
7 = m˙ x 0.001 (5600 - 120 ) + m˙ x 9.8 x 10 x (1 kJ/kg/ 1000 m^2/s^2)
7 = m˙ x 5.48 + m˙ x 0.098
7 = m ˙x 5.38
m˙ = 7/5.38
So mass flow m˙ = 1.301 kJ/s
<em>HERE'S</em><em> </em><em>YOUR</em><em> </em><em>ANSWER</em><em>: </em>
•Since the log is stationary and you are moving beside the log, it seems to move in the opposite direction from your point of view, because from your perspective u are stationary and the log is moving. If you were to stop moving the log would also stop moving.
<em>HOPE</em><em> </em><em>IT</em><em> </em><em>HELPS</em><em>.</em><em>.</em><em>.</em>
Answer:
0.2 m/s^2
Explanation:
Maximum distance, h = 19.5 m
initial speed, u = 2.80 m/s
final speed, v = 0 m/s
Let the gravitational acceleration is a.
Use third equation of motion



a = 0.2 m/s^2
Thus the gravitational acceleration on the exoplanet is 0.2 m/s^2