A 0.25 kg toy car is propelled by a compressed spring, as shown below. The car follows a track that rises 0.20 m above the starting point. The spring is compressed 6.00 cm and has a force constant of 350.0 N/m. Assume that the work done by friction to be negligible for questions A - D. Alternate path Path of the Car h = 20 cm B) If the spring potential energy is completely transferred to the car to propel it forward, calculate the initial velocity of the car at the start of the path. (5 points) C) Calculate the gravitational potential energy of the car at the top of the slope. (5 points) D) Calculate the velocity of the car at the top of the slope. (5 points) E) Now assume that there is 0.5 N friction at the top of the path. How far does the car travel before it stops? (5 points)
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The potential energy stored in the spring when it is compressed is equal to the kinetic energy of the car when the spring is released. The potential energy of the spring is given by the formula 1/2*k*x^2, where k is the spring constant and x is the distance the Show moreā¦
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Madhur L.
A 0.030 kg toy car is pushed back against a spring-based launcher. The spring constant of the spring is 222 N/m. The spring compresses 0.090 m. The total distance the car travels is 2.509 m. a. Determine the velocity of the car once it leaves the spring. b. Assuming no energy is lost to friction, the car now travels up a ramp that is angled at 40.0Ā° above the horizontal. Determine the distance the car travels up the ramp. c. Friction now acts along the flat surface only (Ī¼ = 0.200). Determine the new height that the car reaches.
Timothy J.
A spring is compressed and a mass is placed in front of it. The spring is released, sending the mass up a frictionless ramp. The mass slides up the ramp, then across a rough horizontal surface until friction brings it to rest. Values: m = 2.50 kg, k = 2.00 N/m, x = 0.550 m, h = 8.50 m, ĆĀ¼k = 0.425. a) Find the velocity of the mass just after release, before it starts up the ramp. (5 points) b) Find the velocity of the mass at the top of the ramp, just before it reaches the rough surface. (7 points) c) Find the horizontal distance, d, where the mass is brought to rest by friction. (5 points) d) What is the amount of energy dissipated by friction? (3 points)
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