Answer:
The ball will have a kinetic energy of 0.615 Joules.
Explanation:
Use the kinetic energy formula
![E_k = \frac{1}{2}mv^2 = \frac{1}{2}0.032kg\cdot 6.2^2 \frac{m^2}{s^2}= 0.615J](https://tex.z-dn.net/?f=E_k%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D0.032kg%5Ccdot%206.2%5E2%20%5Cfrac%7Bm%5E2%7D%7Bs%5E2%7D%3D%200.615J)
The kinetic energy at the moment of leaving the hand will be 0.615 Joules. (From there on, as it ball is traveling upwards, this energy will be gradually traded off with potential energy until the ball's velocity becomes zero at the apex of the flight)
Well, there's a lot of friction going on there, so the snowball gradually
loses kinetic energy just from bouncing and plowing through the snow
on the ground.
But I don't think you're asking about that. I think you're ignoring that
for the moment, and asking how its kinetic energy changes as its
mass increases. We know that
Kinetic Energy = (1/2) (mass) (speed²)
and THAT seems to say that more mass means more kinetic energy.
So maybe the snowball's kinetic energy increases as it picks up
more mass.
Don't you believe it !
Remember: Energy always has to come from somewhere ... a motor,
a jet, a push, gravity ... something ! It doesn't just appear out of thin air.
If the snowball were rolling down hill, then it could get more kinetic energy
from gravity. But if it's rolling on level ground, then it can never have any
more kinetic energy than you gave it when you pushed it and let it go.
If snow or leaves stick to it and its mass increases, then its speed must
decrease, in order to keep the same kinetic energy.
To solve this problem we will apply the linear motion kinematic equations, specifically the concept of acceleration as a function of speed and time, as well as Newton's second law.
PART A) Acceleration can be described as changing the speed in a period of time therefore,
![a = \frac{V}{t}\\a = \frac{11}{8}\\a = 1.375m/s^2](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7BV%7D%7Bt%7D%5C%5Ca%20%3D%20%5Cfrac%7B11%7D%7B8%7D%5C%5Ca%20%3D%201.375m%2Fs%5E2)
Force is the proportional change between mass and acceleration therefore
![F = (73)(1.375)](https://tex.z-dn.net/?f=F%20%3D%20%2873%29%281.375%29)
![F= 100.375N](https://tex.z-dn.net/?f=F%3D%20100.375N)
PART B) We will apply the same concept given but now we will change the time to 21s therefore:
![a = \frac{V}{t}\\a = \frac{11}{21}\\a = 0.5238](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7BV%7D%7Bt%7D%5C%5Ca%20%3D%20%5Cfrac%7B11%7D%7B21%7D%5C%5Ca%20%3D%200.5238)
Now the force
![F = (73)(0.5238)](https://tex.z-dn.net/?f=F%20%3D%20%2873%29%280.5238%29)
![F = 38.23N](https://tex.z-dn.net/?f=F%20%3D%2038.23N)
Answer:
To find the mass using density and volume we just multiply them against each other which causes ml to cancel and just leaves us with grams which represents how much the item weights.
![mass=density*volume](https://tex.z-dn.net/?f=mass%3Ddensity%2Avolume)
![mass=0.875\frac{g}{ml}*4.0\ ml](https://tex.z-dn.net/?f=mass%3D0.875%5Cfrac%7Bg%7D%7Bml%7D%2A4.0%5C%20ml)
![mass=3.5\ g](https://tex.z-dn.net/?f=mass%3D3.5%5C%20g)
Therefore, our final answer is that our pencil weight 3.5 grams
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer:
32 seconds
Explanation:
Time is equals to distance divided by speed, so, time is inversely proportional to speed that means as the speed increases the time taken by the sprinter decreases.
Here, Speed is given which is 10 meters per second
Distance is 320 meters
By putting the values of speed and distance in the formula of time we will get the answer of time taken by the sprinter which is 32 seconds.