Melting, as igneous rock is magma or lava that has cooled and hardened.
Answer:
A) car - 37500 kg*m/s, minivan - 13332 kg*m/s
B) 50832 kg*m/s
C) 18.83 m/s
Explanation:
Realize that sticky collisions are modeled by: m1v1+m2v2=(m1+m2) vf
conevert to m/s....car going 25 m/s, minivan going 11.11 m/s
A) p=mv
p(car)=(1500)(25)
p(car)=37500 kg*m/s
p(minivan)=(1200)(11.11)
p(minivan)=13332 kg*m/s
B) 37500+13332=50832 kg*m/s
C) 37500+13332=(1500+1200) vf
50832=2700(vf)
18.83 m/s = vf
Answer:
Hooke's law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. ... Hooke's law describes the elastic properties of materials only in the range in which the force and displacement are proportional.
Explanation:
Answer:
(a)0.625s (b)1.569s
Explanation:
a.The ball reaches its maximum height when its speed = 0, or changing from positive to negative. To find out the time t for this we need to get the velocity function by taking the first derivative of the height function:
![v(t) = s^{'}(t) = (-16t^2)^{'} + (20t)^{'} + 8^{'} = -32t + 20](https://tex.z-dn.net/?f=v%28t%29%20%3D%20s%5E%7B%27%7D%28t%29%20%3D%20%28-16t%5E2%29%5E%7B%27%7D%20%2B%20%2820t%29%5E%7B%27%7D%20%2B%208%5E%7B%27%7D%20%3D%20-32t%20%2B%2020)
So when v(t) = 0
![-32t + 20 = 0](https://tex.z-dn.net/?f=-32t%20%2B%2020%20%3D%200)
![t = 20/32 = 0.625s](https://tex.z-dn.net/?f=t%20%3D%2020%2F32%20%3D%200.625s)
b. The ball land back on the ground when s(t) = 0:
![-16t^2 + 20t + 8 = 0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%2020t%20%2B%208%20%3D%200)
![4t^2 - 5t - 2 = 0](https://tex.z-dn.net/?f=4t%5E2%20-%205t%20-%202%20%3D%200)
![t^2 - \frac{5}{4}t + \frac{1}{2} = 0](https://tex.z-dn.net/?f=t%5E2%20-%20%5Cfrac%7B5%7D%7B4%7Dt%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%3D%200%20)
![t \approx 1.569s](https://tex.z-dn.net/?f=t%20%5Capprox%201.569s)