A lab student fires a 0.5 kg projectilewith speed 10 m/s into a ballistic pendulum with a mass of 1.5 kg attached to amassless string 1.0 m in length. What angle does the string makes with the vertical if the pendulum rises to a heightafter impact?
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Given:
A lab student fires a 0.5 kg projectile with speed 10 m/s into a ballistic pendulum with a mass of 1.5 kg attached to a massless string 1.0 m in length.
To find:
Angle made by string with vertical?
Calculation:
Applying CONSERVATION OF LINEAR MOMENTUM:
Now, the pendulum bob will follow the CONSERVATION OF MECHANICAL ENERGY principle:
Now, calculate the angle:
So, angle made with vertical is 43.4°.
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