Answer:
In this case, a body of mass 5 kg kept at a height of 10 m. So the potential energy is given as 5 * 10 *10 = 500 J.
 
        
             
        
        
        
Answer:
a)30.14 rad/s2
b)43.5 rad/s
c)60633 J
d)42 kW
e)84 kW
Explanation:
If we treat the propeller is a slender rod, then its moments of inertia is 

a. The angular acceleration is Torque divided by moments of inertia:

b. 5 revolution would be equals to  rad, or 31.4 rad. Since the engine just got started
 rad, or 31.4 rad. Since the engine just got started


c. Work done during the first 5 revolution would be torque times angular displacement:

d. The time it takes to spin the first 5 revolutions is

The average power output is work per unit time
 or 42 kW
 or 42 kW
e.The instantaneous power at the instant of 5 rev would be Torque times angular speed at that time:
 or 84 kW
 or 84 kW
 
        
             
        
        
        
Answer:
500; 300 feet. 
Explanation:
A turn signal lamp can be defined as an amber blinking lamp which indicates a driver's intent to change direction. It is extremely important that drivers gives a turn signal (flashing light) on the side toward which he or she is turning either left or right.
Simply stated, the turn signal lamp indicate the driver's intent to turn either leftward or rightward by displaying flashing lights to the front and rear of his or her vehicle.
A turn signal lamp must be visible in normal sunlight at a distance of at least 500 feet from the front and rear of the vehicle if the vehicle is at least 80 inches wide, and at least 300 feet from front and rear of the vehicle if the vehicle is less than 80 inches wide according to the transportation traffics code. 
 
        
             
        
        
        
Answer: Work Done would remain same.
Let us assume that the velocity is constant while taking the load up the inclined plane. Then, the kinetic energy would remain the same. This is because kinetic energy is dependent on velocity  . If that is constant, the kinetic energy would remain same. The potential energy is dependent on the height
. If that is constant, the kinetic energy would remain same. The potential energy is dependent on the height . If the height is changed, then potential energy varies. In the question, it is mentioned that without changing the height, the length of the inclined plane is changed. Therefore, the potential energy would be same as before.
. If the height is changed, then potential energy varies. In the question, it is mentioned that without changing the height, the length of the inclined plane is changed. Therefore, the potential energy would be same as before. 
We know, work done is equal to potential energy plus kinetic energy. Since there is no change in any of these, the required work done would not change.