Answer:
Explanation:
There are two types of collision.
(a) Elastic collision: When there is no loss of energy during the collision, then the collision is said to be elastic collision.
In case of elastic collision, the momentum is conserved, the kinetic energy is conserved and all the forces are conservative in nature.
The momentum of the system before collision = the momentum of system after collision
The kinetic energy of the system before collision = the kinetic energy after the collision
(b) Inelastic collision: When there is some loss of energy during the collision, then the collision is said to be inelastic collision.
In case of inelastic collision, the momentum is conserved, the kinetic energy is not conserved, the total mechanical energy is conserved and all the forces or some of the forces are non conservative in nature.
The momentum of the system before collision = the momentum of system after collision
The total mechanical energy of the system before collision = total mechanical of the system after the collision
A. 9 J
In a force-distance graph, the work done is equal to the area under the curve in the graph.
In this case, we need to extrapolate the value of the force when the distance is x=30 cm. We can easily do that by noticing that there is a direct proportionality between the force and the distance:
![F=kx](https://tex.z-dn.net/?f=F%3Dkx)
where k is the slope of the line. We can find k, for instance chosing the point at x=5 cm and F=10 N:
![k=\frac{F}{x}=\frac{10 N}{5 cm}=2 N/cm](https://tex.z-dn.net/?f=k%3D%5Cfrac%7BF%7D%7Bx%7D%3D%5Cfrac%7B10%20N%7D%7B5%20cm%7D%3D2%20N%2Fcm)
And now we can calculate the work by calculating the area under the curve until x=30 cm, F=60 N:
![W=\frac{1}{2} (height) (base)= \frac{1}{2}(60 N)(0.30 m)=9 J](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1%7D%7B2%7D%20%28height%29%20%28base%29%3D%20%5Cfrac%7B1%7D%7B2%7D%2860%20N%29%280.30%20m%29%3D9%20J)
B. 24.5 m/s
The mass of the arrow is m=30 g=0.03 kg. The kinetic energy of the arrow when it is released is equal to the work done by pulling back the bow for 30 cm:
![W=K=\frac{1}{2}mv^2](https://tex.z-dn.net/?f=W%3DK%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
where m is the mass of the arrow and v is its speed. By re-arranging the formula and using W=9 J, we find the speed:
![v=\sqrt{\frac{2W}{m}}=\sqrt{\frac{2\cdot 9J}{0.03 kg}}=24.5 m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7B2W%7D%7Bm%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%5Ccdot%209J%7D%7B0.03%20kg%7D%7D%3D24.5%20m%2Fs)
Explanation:
The given data is as follows.
Mass of small bucket (m) = 4 kg
Mass of big bucket (M) = 12 kg
Initial velocity (
) = 0 m/s
Final velocity (
) = ?
Height
= 2 m
and,
= 0 m
Now, according to the law of conservation of energy
starting conditions = final conditions
![\frac{1}{2}MV^{2}_{o} + Mgh_{o} + \frac{1}{2}mv^{2}_{o} + mgh_{o} = \frac{1}{2}MV^{2}_{f} + Mgh_{f} + \frac{1}{2}mv^{2}_{f} + mgh_{f}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DMV%5E%7B2%7D_%7Bo%7D%20%2B%20Mgh_%7Bo%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D_%7Bo%7D%20%2B%20mgh_%7Bo%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7DMV%5E%7B2%7D_%7Bf%7D%20%2B%20Mgh_%7Bf%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7Dmv%5E%7B2%7D_%7Bf%7D%20%2B%20mgh_%7Bf%7D)
235.44 =
+ 78.48
= 4.43 m/s
Thus, we can conclude that the speed with which this bucket strikes the floor is 4.43 m/s.
Answer:
D. can be answered by gathering observations.
Explanation: