One type of toy car contains a spring that is compressed as the wheels are rolle
ID: 1585329 • Letter: O
Question
One type of toy car contains a spring that is compressed as the wheels are rolled backward along a surface. The spring remains compressed until the wheels are freed and the car is allowed to roll forward. Jose learns that if he rolls the car backward for a greater distance (up to a certain point), the car will go faster when he releases it. The spring compresses 1.00 cm for every 10.0 cm the car is rolled backward.
One type of toy car contains a spring that is compressed as the wheels are rolled backward along a surface. The spring remains compressed until the wheels are freed and the car is allowed to roll forward. Jose learns that if he rolls the car backward for a greater distance (up to a certain point), the car will go faster when he releases it. The spring compresses 1.00 cm for every 10.0 cm the car is rolled backward (a) Assuming the spring constant is 161.0 N/m, what is the elastic potential energy stored in the spring when Jose rolls the car backward 24.0 cm? (b) What is the elastic potential energy stored in the spring when he rolls the car backward 45.5 cm? (c) Explain the correlation between the results for parts (a) and (b) and Jose's observations of different speeds. This answer has not been graded yet.Explanation / Answer
For every 10cm rolled backward,spring compression is x = 1 cm
then
24 cm rolled backwards,spring compression is 2.4 cm
then
a) Elastic potential energy is U = 0.5*k*x^2 = 0.5*161*0.024^2 = 0.0464 J
b) spring compression is x = 4.55 cm
then U = 0.5*k*x^2 = 0.5*161*(4.55*10^-2)^2= 0.167 J
C) using law of conservation of energy
potential energy is converted into kinetic energy of car
then more is the elastic potential energy and more is the kinetic energy of car
so in partb) car goes with greater speed
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