Answer:
122.5 kW
Explanation:
m = mass of the loaded elevator = 2.50 x 10³ kg = 2500 kg
t = time taken to raise the elevator = 10.0 s
h = height gained by the elevator = 50.0 m
g = acceleration due to gravity = 9.8 m/s²
Power spent is given as
P =
Inserting the values
P =
P = 122500 Watt
P = 122.5 kW (Since 1 kW = 1000 W)
I can’t help you with your problem because you’re not showing a picture of any sort of diagram
Answer:
a) To the nearest tenth the average value of the measures is 217.4cm
b) The standard deviation for the four measurements is 0.415
Explanation:
The average is the result of adding all the values and dividing by the number of measures, in this case 4 then
a) To the nearest tenth the average value of the measures is 217.4cm
The standard deviation equals to the square root of the variance, and the variance is the adition of all the square of the difference between the measure and the average for each value divided by the number of measurements
So first, we must calculate the variance:
.
.
.
.
.
This represent the difference between the average and the measurements.
Now calculate the standard deviation
Standard deviation =
Standard deviation =
Standard deviation = 0.415
b) The standard deviation for the four measurements is 0.415
This measure represent a standard way to know what is normal in this sample. so the differences between the average should be of ±0.415
Remains unchanged (as it's a solid)
a) By a factor 4
The spring potential energy is given by
where
U is the potential energy
k is the spring constant
x is the compression of the spring
In this problem, the spring is compressed twice the initial distance, so:
So the new elastic potential energy will be
So, the spring potential energy will quadruple.
b) By a factor 2
When the gun shoots out the ball, the elastic potential energy is then converted into kinetic energy of the ball:
where
m is the mass of the ball
v is its initial speed
Re-arranging the equation we have
We said that the potential energy has increased by a factor 4, so
U' = 4U
So the new speed of the ball will be
So, the speed will double.