Answer:
47 m
Explanation:
Data obtained from the question include the following:
Length of dry leg 1 (L1) = 40 m
Length of dry leg 2 (L2) = 25 m
Length of swimming course (L) =..?
The length of the swimming course can be obtained by using pythagoras theory as shown below:
L² = L1² + L2²
L² = 40² + 25²
L² = 1600 + 625
L² = 2225
Take the square root of both side.
L = √2225
L = 47.1 ≈ 47 m
Therefore, the length of the swimming course is approximately 47 m.
Answer:
![v = 15.45 m/s](https://tex.z-dn.net/?f=v%20%3D%2015.45%20m%2Fs)
Explanation:
As per mechanical energy conservation we can say that here since friction is present in the barrel so we will have
Work done by friction force = Loss in mechanical energy
so we will have
![W_f = (U_i + K_i) - (U_f + K_f)](https://tex.z-dn.net/?f=W_f%20%3D%20%28U_i%20%2B%20K_i%29%20-%20%28U_f%20%2B%20K_f%29)
here we know that
![W_f = F_f . d](https://tex.z-dn.net/?f=W_f%20%3D%20F_f%20.%20d)
![W_f = 40 \times 4](https://tex.z-dn.net/?f=W_f%20%3D%2040%20%5Ctimes%204)
![W_f = 160 J](https://tex.z-dn.net/?f=W_f%20%3D%20160%20J)
Initial compression in the spring is given as
![F = kx](https://tex.z-dn.net/?f=F%20%3D%20kx)
![4400 = 1100 x](https://tex.z-dn.net/?f=4400%20%3D%201100%20x)
![x = 4 m](https://tex.z-dn.net/?f=x%20%3D%204%20m)
now from above equation
![W_f = (\frac{1}{2}kx^2 + 0) - (mgh + \frac{1}{2}mv^2)](https://tex.z-dn.net/?f=W_f%20%3D%20%28%5Cfrac%7B1%7D%7B2%7Dkx%5E2%20%2B%200%29%20-%20%28mgh%20%2B%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%29)
![160 = (\frac{1}{2}1100(4^2) + 0) - (60 \times 9.8\times 2.50 + \frac{1}{2}(60)v^2)](https://tex.z-dn.net/?f=160%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D1100%284%5E2%29%20%2B%200%29%20-%20%2860%20%5Ctimes%209.8%5Ctimes%202.50%20%2B%20%5Cfrac%7B1%7D%7B2%7D%2860%29v%5E2%29)
![160 = 8800 - 1470 - 30 v^2](https://tex.z-dn.net/?f=160%20%3D%208800%20-%201470%20-%2030%20v%5E2)
![v = 15.45 m/s](https://tex.z-dn.net/?f=v%20%3D%2015.45%20m%2Fs)
Sphere is that the circular objects in the two dimensional space (1) circle
(2) disk. Two dimensional space is a set of points and the distance of that point,The two points of Sphere that length and center.
Sphere can constructed as the named of surface form circle about any diameter. circle is the special type of the revolution replacing the circle,
sphere is the distance r is the radius of the ball and circle is the center of mathematical ball,as the center and the radius of the sphere is to respectively.
The ball and sphere has not be maintained mathematical references as a solid references. A sphere of any radius is centered at the number of zero.
Answer:
The block will not move.
Explanation:
We'll begin by calculating the frictional force. This can be obtained as follow:
Coefficient of friction (µ) = 0.6
Mass of block (m) = 3 Kg
Acceleration due to gravity (g) = 10 m/s²
Normal reaction (R) = mg = 3 × 10 = 30 N
Frictional force (Fբ) =?
Fբ = µR
Fբ = 0.6 × 30
Fբ = 18 N
From the calculations made above, the frictional force of the block is 18 N. Since the frictional force (i.e 18 N) is bigger than the force applied (i.e 14 N), the block will not move.
Since the ball was not moving before it let Aiden's hand, the formula used to calculate the acceleration is
![a = \frac{v}{t}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7Bv%7D%7Bt%7D%20)
, where a is acceleration, v is velocity and t is the time. We put them in the formula and get
![a = \frac{49}{0.1} \\ a = \frac{490}{1} \\ a = 490](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B49%7D%7B0.1%7D%20%20%5C%5C%20a%20%3D%20%20%5Cfrac%7B490%7D%7B1%7D%20%20%5C%5C%20a%20%3D%20490)
The acceleration is 490 m/s^2