A giant toy car with big wheels has a total mass (including the wheels) of 0.16

Question

A giant toy car with big wheels has a total mass (including the wheels) of 0.16 kg. The car has 4 wheels and each wheel has radius of 4.7 m and a moment of inertia of 0.33 kg m2. The car is attached to a horizontal spring. The spring is inititally unstretched and the car is given an initial speed of 1.5 m/s away from the spring. The car moves forward 0.31 m before it stops and is pulled back by the spring. The wheels roll without slipping the entire time. What is the spring constant?

Spring attached to a toy car A giant toy car with big wheels has a total mass (including the wheels) of 0.16 kg. The car has 4 wheels and each wheel has radius of 4.7 m and a moment of inertia of 0.33 kg m2. The car is attached to a horizontal spring. The spring is inititally unstretched and the car is given an initial speed of 1.5 m/s away from the spring. The car moves forward 0.31 m before it stops and is pulled back by the spring. The wheels roll without slipping the entire time What is the spring constant? 4.40 N/m Incorrect. Submit Answer Submissions to practice problems are not permanently recorded

Explanation / Answer

By energy conservation,

0.5 kx^2 = 0.5mv^2 + 4*0.5iw^2

k*0.31^2 = 0.16*1.5^2 + 4*0.33*(1.5/4.7)^2

k = [0.16*1.5^2 + 4*0.33*(1.5/4.7)^2]/0.31^2

= 5.145 N/m answer

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