The magnitude of the resultant momentum can be calculated using the following rule:
p = sqrt [(px)^2 + (py)^2]
px is given to be 100 kg m/sec
py is given to be 98 kg m/sec
Substitute in the above equation to calculate the magnitude of the resultant momentum as follows:
p = sqrt[(100)^2+(98)^2]
p = 140 kg m/sec
Answer:
29 seconds
Explanation:
First we have a constant speed of 12 m/s and the distance of 240 m, so to find the time we can use the formula:
distance = speed * time
240 = 12 * time1
time1 = 20 seconds
Then, the speed decreases at 2 m/s2 until it reaches 2 m/s. So to find this time, we use this formula:
Final speed = inicial speed + acceleration * time
2 = 12 - 2 * time2
2*time2 = 10
time2 = 5 seconds.
Then, the speed increases from 2 m/s to 22 m/s with an acceleration of 5 m/s2, so we have:
Final speed = inicial speed + acceleration * time
22 = 2 + 5 * time3
5*time3= 20
time3 = 4 seconds
The total time is:
Total time = time1 + time2 + time3 = 20 + 5 + 4 = 29 seconds
<h2>It will take 0.125 seconds to reach the net.</h2>
Explanation:
Initial speed, u = 34 ft/s = 10.36 m/s
Acceleration, a = -9.81 m/s²
Displacement, s = Final height - Initial height = 8 - 4 = 4 ft = 1.22 m
We have equation of motion, s = ut + 0.5 at²
Substituting
s = ut + 0.5 at²
1.22 = 10.36 x t + 0.5 x -9.81 x t²
4.905t² - 10.36 t + 1.22 = 0
t = 1.99 s or t = 0.125 seconds
Minimum time is 0.125 seconds.
It will take 0.125 seconds to reach the net.
You would be in an editing mode when you can see a blinking insertion point on a field. In addition, in any word processing software, it would basically signify that you can already type on the document. Another name for the insertion point would be the I-beam as displayed on the screen.
Answer:
The force is
Explanation:
From the question we are told that
The weight is
The force constant is
The frequency is
The amplitude is
Generally the maximum driving force is mathematically represented as
Here m is the mass of the weight which is mathematically represented as
=>
=>
Also is the angular frequency of the weight which is mathematically represented as
=>
So