2. A bullet of mass 0.1 kg moving horizontally passes through a wooden block of
ID: 1350931 • Letter: 2
Question
2. A bullet of mass 0.1 kg moving horizontally passes through a wooden block of mass 10kg initially at rest and looses 90% of its kinetic energy. The recoiling block slides s distance of 1m on a horizontal surface of friction constant 0.3 before coming to rest. What was the initial speed of the bullet. 3. A block of wood of mass I kg s balanced on the end of a pistol barrel and the pistol is fired. The block of wood flics upward a distance of I m with the bullet imbedded inside. What is the muzzle velocity of the bullet f its mass is 10g? 4. A 0.1-kg mass of putty drops from a height of 1m onto a platform oft kg setting on a spring of constant 100 N/m. The putty sticks to the platform causing it to recoil downward and compress the spring. 1-tow much is the spring is compressed before it comes to rest again. 5. A 0.1 -kg mass of putty drops from a height of 1m onto a platform of 1 kg setting on a spring of constant N/m. The putty sticks to the platform causing it to recoil downward and compress the spring. What is the maximum speed of the platform with the putty attached?Explanation / Answer
4)Given that,
mass = m = 0.1 kg ; h = 1 m ; k = 100 N/m ;
Gravitational Potential energy of the putty at the given height will be:
PE = m g h = 0.1 x 9.81 x 1 = 0.981 J
from conservation of energy
PE of the compressed spring = U = 1/2 k x2
1/2 k x2 = 0.981
100/2 x2 = 0.981
x = 0.14 m
Hence, the spring is compresses for x = 0.14 meters.
5)The potential energy of the spring is providing kinetic energy of the motion, So
U = 1/2 k x2 = 0.5 x 100 x (0.14)2 = 0.98 J
KE = (1kg + m) v2 /2 = (1+0.1)v2/2 = 1.1v2/2
1.1v2/2 = 0.98
v = 1.335 m/s
Hence, v = 1.335 m/s
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