Answer:
1125.66956 N
Explanation:
m = Mass of stunt performer
g = Acceleration due to gravity = 9.81 m/s²
v = Velocity of the swing = 7 m/s
T = Tension
r = Radius of the swing = Length of vine = 11.5 m
From the free body diagram

The minimum tension force the vine must be able to support without breaking is 1125.66956 N
In a cold pack, an endothermic reaction draws heat from the surroundings, although there are several different types of cold packs, some with different reactions.
Answer:
Team A has the greatest momentum
Explanation:
The momentum of an object is a vector quantity given by

where
m is the mass of the object
v is its velocity
In this problem, we have to compare the momenta of the different sleds.
We have:
A) Sled Team A 48 kg moving at 10m/s:
m = 48 kg
v = 10 m/s
p = (48)(10) = 480 kg m/s
B) Sled Team B 14 kg moving at 18m/s
m = 14 kg
v = 18 m/s
p = (14)(18) = 252 kg m/s
C) Sled Team C 28 kg moving at 12m/s
m = 28 kg
v = 12 m/s
p = (28)(12) = 336 kg m/s
D) Sled Team D 22 kg moving at 12m/s
m = 22 kg
v = 12 m/s
p = (22)(12) = 264 kg m/s
So, team A has the greatest momentum.
Answer: 3.13 m
Explanation:
Given
mas of the ball is m=10 kg
The ball rolls down a vertical distance of 5 m
Spring constant of spring is 
Here, the potential energy of the ball converted into kinetic energy which in turn converts into elastic potential energy
![\Rightarrow mgh=\frac{1}{2}kx^2\quad [\text{x=compression in the spring}]\\\\\Rightarrow 10\times 9.8\times 5=\frac{1}{2}\cdot 100\cdot x^2\\\Rightarrow x=\sqrt{9.8}\\\Rightarrow x=3.13\ m](https://tex.z-dn.net/?f=%5CRightarrow%20mgh%3D%5Cfrac%7B1%7D%7B2%7Dkx%5E2%5Cquad%20%5B%5Ctext%7Bx%3Dcompression%20in%20the%20spring%7D%5D%5C%5C%5C%5C%5CRightarrow%2010%5Ctimes%209.8%5Ctimes%205%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20100%5Ccdot%20x%5E2%5C%5C%5CRightarrow%20x%3D%5Csqrt%7B9.8%7D%5C%5C%5CRightarrow%20x%3D3.13%5C%20m)
Thus, the spring compresses by 3.13 m.