Option 2: A rifle fires a 55g bullet along a smooth horizontal surface at 130 m/s. Further along the surface lies a wooden block. Upon impact, the bullet sticks within the wooden block, slides toward a spring and collides with it. The "bullet in the block" compresses the spring to a maximum of 15 cm. The spring constant is 105 N/m. a) Draw a diagram of the situation. Labelling all relevant variables given in the question and used during solving. b) Using the law of conservation of momentum, create an expression for the mass of the wooden block. Simplify the expression as much as possible but do not solve. c) Calculate the speed of the "bullet in the block" just as it comes into contact with the spring. . d) Calculate the mass of the block of wooa
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![Option 2: A rifle fires a 55g bullet along a smooth horizontal surface at 130 m/s. Further along
the surface lies a wooden block. Upon impact, the bullet sticks within the wooden block, slides
toward a spring and collides with it. The "bullet in the block" compresses the spring to a
maximum of 15 cm. The spring constant is 105 N/m.
a) Draw a diagram of the situation. Labelling all relevant variables given in the question and
used during solving.
b) Using the law of conservation of momentum, create an expression for the mass of the
wooden block. Simplify the expression as much as possible but do not solve.
c) Calculate the speed of the "bullet in the block" just as it comes into contact with the
spring. .
d) Calculate the mass of the block of wooa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd09d5dec-5519-4874-a228-f0f965bdda06%2F6a4b05cc-2e41-4377-a59b-732dfaabb1f7%2F8815zb_processed.jpeg&w=3840&q=75)
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