1.) A toy car with an unknown mass is traveling at 2.9 m/s along a track...

 

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1.) A toy car with an unknown mass is traveling at 2.9 m/s along a track and collides with a stationary toy car that has a mass of 0.53 kg. The bumpers of the toy cars lock so the collision is completely inelastic leaving the cars both moving at 1.7 m/s. a) What was the mass of the toy car that was moving before the collision? b) How much kinetic energy is lost during the collision? c) Is this an elastic collision? (Explain your answer) 2.) A clothes drier unit has a rotating tumbler that is full of towels and is a shape can be modeled as having a moment of inertia of 3/5 MR2 (tumbler and towels together) as it rotates. The radius of the tumbler is 0.48 m. The motor in the drier unit delivers a torque of 2.3 N m, which causes the tumbler and towels to rotate from rest up to an angular speed of 11 rad/s in a time of 6.2 s. a) Calculate the mass of the tumbler and towels rotating in the drier. b) Through what angular displacement does the drier rotate from rest before it gets up to the full speed of 11 rad/s? 3.) A custom shaped wheel rolls down an incline of height h and reaches the bottom with a speed that follows the equation 18. 1 m gh Determine the equation for the moment of inertia of this custom shaped wheel, which should be in the form of # MR2 4.) Use the planetary data on the equation sheet to determine the acceleration due gravity at the surface of Dr. Adams's favorite minor planet, Pluto. 5.) William Herschel discovered the planet Uranus in 1781. In 1986, the spacecraft Voyager 2 did a flyby of Uranus, gathering the best photographic and sensory data that we currently possess. Determine HOW MANY ORBITS around the sun had Uranus completed between the time of Herschel's discovery in 1781 and the Voyager 2 flyby in 1986. Hint: First use the planetary data on the equation sheet to determine the time period of Uranus' orbit, then answer the Voyager question. 1.) A toy car with an unknown mass is traveling at 2.9 m/s along a track and collides with a stationary toy car that has a mass of 0.53 kg. The bumpers of the toy cars lock so the collision is completely inelastic leaving the cars both moving at 1.7 m/s. a) What was the mass of the toy car that was moving before the collision? b) How much kinetic energy is lost during the collision? c) Is this an elastic collision? (Explain your answer) 2.) A clothes drier unit has a rotating tumbler that is full of towels and is a shape can be modeled as having a moment of inertia of 3/5 MR2 (tumbler and towels together) as it rotates. The radius of the tumbler is 0.48 m. The motor in the drier unit delivers a torque of 2.3 N m, which causes the tumbler and towels to rotate from rest up to an angular speed of 11 rad/s in a time of 6.2 s. a) Calculate the mass of the tumbler and towels rotating in the drier. b) Through what angular displacement does the drier rotate from rest before it gets up to the full speed of 11 rad/s? 3.) A custom shaped wheel rolls down an incline of height h and reaches the bottom with a speed that follows the equation 18. 1 m gh Determine the equation for the moment of inertia of this custom shaped wheel, which should be in the form of # MR2 4.) Use the planetary data on the equation sheet to determine the acceleration due gravity at the surface of Dr. Adams's favorite minor planet, Pluto. 5.) William Herschel discovered the planet Uranus in 1781. In 1986, the spacecraft Voyager 2 did a flyby of Uranus, gathering the best photographic and sensory data that we currently possess. Determine HOW MANY ORBITS around the sun had Uranus completed between the time of Herschel's discovery in 1781 and the Voyager 2 flyby in 1986. Hint: First use the planetary data on the equation sheet to determine the time period of Uranus' orbit, then answer the Voyager question.