In a pinball game, a spring loaded plunger is pulled back, the ball rolls into position on it, and then the plunger is released to send the ball up the sloped game surface. On a particular game, the spring is pulled back 12 cm with a force of 4.5 N and after release the 80 g ball quickly goes to the top, still traveling at 1.3 m/s at the top 1.5 meters up the 6.5° slope from where it was launched. Was much energy lost to resistive forces?
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- Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. = 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk = 0.16. The final velocity of the block is 9.78 m/s. How much is the second spring compressed by when the block comes to a stop against it? Simplifies to X₁ = 0.40 m h₁ = 0 m Vi = 0 m/s xf Wnc = 0 J 2 Wnc + mgh₁ +1/2 kx₁² +½ mv² = mgh₁+½ kxf² +½ mvf2 = k₁ = 2750 N/m k₂= 350 N/m m = 4.6 kg 2 ½ k₁x₁² = mghf + ½ K₂Xf2 2 ½ k₁x;² — mghƒ _½ k₂xf² Xf= 2750 N/m 350 N/m (0.4 m)2 x k 2 2gh -X f= X₁ = ? m h₁ = 2.8 m Vi = 0 m/s 0.141 m 2(9.8…A toy gun uses a spring to project a 5.4-g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 17 cm long, and a constant frictional force of 0.034 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 6.1 cm for this launch? (Assume the projectile is in contact with the barrel for the full 17 cm.)A vertical spring with a spring constant k = 40 N/CM is compressed 10.0 cm from equilibrium. A ball of mass 300 g is launched from the spring. What maximum height does the ball reach above its starting position.
- A 5.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? N/m A 70.0 kg skier with an initial speed of 10.0 m/s coasts up a 2.50 m high rise as shown in the following figure. Find her final speed at the top (in m/s), given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) m/sHow far the block will compress the spring after fall back from its maximum height?A 250 g block on a 30° ramp with μk = 0.17 is pushed against a spring. The constant of the spring is 1400 N/m and the spring is compressed 13.0 cm. After being released, the block will travel 3.4 m up the ramp (that includes the 12 cm) before shooting off the end. How fast will the block be going when it shoots off the edge of the ramp?
- 7.42 · A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, hori- zontal surface and then up a frictionless incline with slope 37.0° (Fig. P7.42). (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? Figure P7.42 k = 400 N/m m = 2.00 kg WWWWAAAA wwww 37.0° K-0.220 m-A box with 14 kg of mass slides down an inclined plane that is 1.8 m high and 3.9 m along the inclined plane. Due to friction the box reaches 4.6 m/s at the bottom of the inclined plane. Beyond the inclined plane lies a spring with 750 N/m constant. It is fixed at its right end. The level ground between the incline and the spring has no friction When the box is temporarily stopped by the spring, how much is the spring compressed in m? Hint: start from the bottom of the inclined plane since you know the speed of the box there. Not all values must be used.