You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 15 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.1 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 12% larger than the minimum needed for the car to just make it over the top. ▾ ▼ Part A What spring constant should you specify? Express your answer with the appropriate units. ▸ View Available Hint(s) k= 2.4x104 N Submit Previous Answers ✓ Correct Correct answer Part B What is the maximum speed of a 340 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ▸ View Available Hint(s) F v=18 Submit shown. Your answer 23893 was either rounded differently or used a different number of significant figures than required for this part. N m μA Previous Answers m S C ? * Incorrect; Try Again; & attempts remaining Be sure to find the velocity of the car specifically of 340 kg.

A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible.   K = spring constant of spring X = distance the spring is compressed M = mass box Theta = angle of ramp from horizontal H = maximum height reached by box   The scenario is repeated using a different box with a greater mass. The spring is compressed the same distance x.   Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h. Students derive an equation for h in the original scenario, h= (sin2theta)kx2/2Mg, which may or may not be correct. Is this equation consistent with your claim…

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 17 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 13% larger than the minimum needed for the car to just make it over the top. k = 1.4x104 Submit Part B m Previous Answers Correct Correct answer is shown. Your answer 14174 significant figures than required for this part. V = What is the maximum speed of a 360 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ► View Available Hint(s) μÅ m ? was either rounded differently or us Value Units ! You have already submitted this answer. Enter a new answer. No credit lost. Try again.

An m = 12.0kg block is released from rest on a frictionless incline that makes an angle of 0 = 27.0°, as shown in the figure. Below the block is a spring that has a spring constant of 1.55 × 10¹ N/m. The block momentarily stops when it compresses the spring by 5.50 cm. How far I does the block move down the incline from its release point to the stopping point? Answer in units of centimeters. m eeeeeee 0