Answer:
1.6 m/s
Explanation:
First you need to find the momentums of each disc by multiplying their velocities with mass.
disc 1: 7*1= 7 kg m/s
disc 2: 1*9= 9 kg m/s
Second, you need to find the total momentum of the system by adding the momentums of each sphere.
9+7= 16 kg m/s
Because momentum is conserved, this is equal to the momentum of the composite body.
Finally, to find the composite body's velocity, divide its total momentum by its mass. This is because mass*velocity=momentum
16/10=1.6
The velocity of the composite body is 1.6 m/s.
Answer:
The value of spring constant is 266.01 ![\frac{N}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BN%7D%7Bm%7D)
Explanation:
Given:
Mass of pellet
kg
Height difference of pellet rise
m
Spring compression
m
From energy conservation law,
Spring potential energy is stored into potential energy,
![mg(h_{f} -h_{o}) = \frac{1}{2} kx^{2}](https://tex.z-dn.net/?f=mg%28h_%7Bf%7D%20-h_%7Bo%7D%29%20%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20kx%5E%7B2%7D)
Where
spring constant, ![g = 9.8 \frac{m}{s^{2} }](https://tex.z-dn.net/?f=g%20%3D%209.8%20%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%20%7D)
![k = \frac{2mg(h_{f} -h_{o} )}{x^{2} }](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B2mg%28h_%7Bf%7D%20-h_%7Bo%7D%20%29%7D%7Bx%5E%7B2%7D%20%7D)
![k = \frac{2 \times 9.8 \times 6.03\times 2.01 \times 10^{-2} }{(9.45\times 10^{-2} )^{2} }](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B2%20%5Ctimes%209.8%20%5Ctimes%206.03%5Ctimes%202.01%20%5Ctimes%2010%5E%7B-2%7D%20%7D%7B%289.45%5Ctimes%2010%5E%7B-2%7D%20%29%5E%7B2%7D%20%7D)
![\frac{N}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BN%7D%7Bm%7D)
Therefore, the value of spring constant is 266.01 ![\frac{N}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BN%7D%7Bm%7D)
Collaboration in science is important because if only one scientist does an experiment, and gets a result, he/she could have messed. So this is where collaboration comes in. A few other scientists could try the experiment, and if they get the same answers, the result may be proven correct.
Hope this helped!
Answer:
1,920 Joules
Explanation:
K.E. = 1/2 mv2
so K.E. = 1/2 (60)(8x8) = 1,920 Joules
Eisenhower started the NASA project to develop technology for military application.