A 2.0 kg block is held at rest on a horizontal smooth surface compressing a spring a distance of x-18 cm. Find the maximum speed (in m/s) that the block can reach when released. The spring constant is k-90 N/m. 067 0.80 094 1.1 12
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- An automobile having a mass of 1000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 4.35 106 N/m and is compressed 3.03 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall? m/sWhen a spring with stiffness constant k is compressed or stretched by a distance x the elastic potential energy stored by the spring is A. -kx B. 0.5kx^2 C. 0.5mv^2 - U (x) D. [None of the others.] E. kx F. mgxPlease help with following question!
- 40. The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m from its equilibrium position and used to launch a 1.00 x 10-2 kg plastic dart. Ignoring friction, what is the dart’s speed as it leaves the gun?A. 0.0640 m/sB. 3.58 m/sC. 7.21 m/sD. 12.8 m/s3. Your teacher gives you a pop-up toy that has a mass of 0.15 kg. When you push down on it, it sticks to the desk for a moment and then pops into the air. (a) If you push the toy down 2.0 cm to make it stick to the desk, and the spring constant is known to be 5000 N/m, how much EPE does the toy have at this moment? [E-S-A] (hint: displacement needs to be in meters for unit cancellation here). (b) Describe the cycle of energy conversions (choosing from EPE, GPE and KE) from the time the toy is stuck to the desk until it has jumped up to its maximum height. changes to which changes to (c) What is the maximum height the toy will be able to jump? [E-S-A round to the 0.01 m]7. The spring is compressed by the mass (m= 2 kg) to half of its original length and then released. The surface is not smooth and has coefficient of friction 0.2. What will be its speed after 2 s. The spring constant is 200 N/m and the unstretched length of the spring is 60 cm.The mass is not connected to the spring and it can slide on the surface after it is released after compression. k m x = 0
- 2. A toy cork gun contains a spring whose spring constant is 10.0 N/m. The spring is compressed 5 cm and then used to propel a 6.00 gram cork. The cork, however, sticks to the spring for 1.00 cm beyond its unstretched length before separation occurs. The muzzle velocity of this cork is: spring cork A) 1.02 m/s B) 1.41 m/s C) 2.00 m/s D) 2.04 m/s E) 4.00 m/s11. A block of mass 1.2 kg lies on a frictionless surface. A man slides the block against a spring, compressing it .15m. When the man lets go of the spring, the block moves at 5 m/s. What is the spring constant of the spring? wwww2. A 10.0-kg block is released from rest at a rough 5.0 m long 30° incline. The coefficient of kinetic friction between incline and box is 0.2. At the bottom of the incline is a frictionless flat track. The block travels down the track, hits a spring of force constant k = 100 N/m. Determine (a) the speed of the block at the bottom of the incline, (b) the maximum compressing distance of the spring from its equilibrium position. (25) 30° spring
- SSN 11. When a 0.34-kg block is suspended on a vertical spring, it causes it to stretch 3.20 cm. If the block is now pulled 7.80 cm below its equilibrium position and released, what is the speed of the block when it is 1.40 cm above the equilibrium position? m/s 160 ssf60 ssf60 ss of the f60 ssf60* 0 ssf60 ss 09J$$Please answer in 15 mins.1. A spring gun (spring constant k=100 N/m) is used to shoot a 5 g ball vertically up. The ball leaves the gun with speed 10m/s. a) What was the compression of the spring? b) What is the maximum height of the ball above the release point?