In the movie Monty Python and the Holy Grail, a cow is catapulted from the top of a castle wall over to the people down below. The gravitational potential energy is set to zero at ground level. The cow is launched from a spring of spring constant 1.6 X 104 N/m that is pulled back 0.3 m from equilibrium. If the castle is 9.6 m tall and the mass of the cow is 140 kg, what are the following? (a) the gravitational potential energy (in J) of the cow at the top of the castle J (b) the elastic spring energy (in J) of the cow before the catapult is released J (c) the speed (in m/s) of the cow right before it lands on the ground m/s
In the movie Monty Python and the Holy Grail, a cow is catapulted from the top of a castle wall over to the people down below. The gravitational potential energy is set to zero at ground level. The cow is launched from a spring of spring constant 1.6 X 104 N/m that is pulled back 0.3 m from equilibrium. If the castle is 9.6 m tall and the mass of the cow is 140 kg, what are the following? (a) the gravitational potential energy (in J) of the cow at the top of the castle J (b) the elastic spring energy (in J) of the cow before the catapult is released J (c) the speed (in m/s) of the cow right before it lands on the ground m/s
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Step 1: Know the concept:
VIEWStep 2: (a) Calculate the gravitational potential energy at the initial position:
VIEWStep 3: (b) Calculate the spring potential energy of the mass just before it is released:
VIEWStep 4: (c) Find the expression for the speed of the mass just before it hits the ground:
VIEWStep 5: (c) Calculate the speed of the mass just before it hits the ground:
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