"You should apply a force with your hand as close to the axis of rotation as possible."
Acceleration is the rate at which velocity changes.
<span>
Simply equate the two.
</span>
<span>dV / dt = F/m </span>
<span>F*dt = dV * m </span>
<span>
The impulse you give any object (average force * time elapsed) is equal to its change in momentum (mass * change in velocity).</span>
Answer:
a)
degrees
b)
degrees
c)
degrees
Explanation:
If we have a vector
in a two dimensional space. The angle respect the x axis can be founded from the following expression:
![tan (\theta)= \frac{A_y}{A_x}](https://tex.z-dn.net/?f=tan%20%28%5Ctheta%29%3D%20%5Cfrac%7BA_y%7D%7BA_x%7D)
And then the angle is given by:
![\theta = tan^{-1} (\frac{A_y}{A_x})](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%20tan%5E%7B-1%7D%20%28%5Cfrac%7BA_y%7D%7BA_x%7D%29)
Part a
Ax = 11 m and Ay = 11 m
For this case the angle would be:
degrees
Part b
Ax = 19 m and Ay = 11 m
For this case the angle would be:
degrees
Part c
Ax = 11 m and Ay = 19 m
For this case the angle would be:
degrees
<h3>
Answer:</h3>
15.29 minutes
<h3>
Explanation:</h3>
<u>We are given;</u>
- Original number of counts = 1668 counts
- New number of counts = 1330 counts
- Time is 5 minutes
We are required to determine the half life of the sample;
- We know that half life is the time it takes for a radioactive sample to decay by a half of the original amount.
- To calculate the remaining mass after decay we use the formula;
- N = N₀ × 0.5^n , where N is the remaining amount, N₀ is the original amount and n is the number of half lives.
- Using the formula we can calculate the value of n;
1330 counts = 1668 counts × 0.5^n
Thus,
0.5^n = 0.79736
Introducing logarithm;
n log 0.5 = log 0.79736
Thus,
n = 0.327
But, n = time ÷ half life
Thus,
Half life = time ÷ n
= 5 minutes ÷ 0.327
= 15.29 minutes
Thus, the half life of the unknown sample is <u>15.29 minutes</u>
Answer:
1.526 m
Explanation:
The motion sensor sends sound waves in air which travels at a speed of 343 m per second at 20 degree. If d be the distance of the reflecting object
total distance travelled = 2d
Time taken t = 8.9 x 10⁻³ s
velocity v = 2d / t
343 = 2 d / (8.9 x 10⁻³)
d = 1.526 m