A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed by 5.05 cm and has a force constant of 7.95 N/m. When the cannon is fire the ball moves 14.3 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? 1.41 m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s

A block of mass m = = 3.08 kg is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 m. The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions. How much work W is done by the spring in pushing the block from its initial position at x = −5.00 m to x = 2.97 m? W = J What is the speed u of the block when it reaches x = 2.97 m? v = m/s -5 -4 -3 16 5 4 3 2 - F (N) x x(m) -2 -1-1 2 3 4 5 -2 -6. 56 -4 -5 234 -3

A 50 g ice cube can slide without friction up and down a 30º slope.  The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 13.0 cm.  The spring constant is 25 N/m.   When the ice cube is released, what distance (in cm) will it travel up the slope above the release point before reversing direction?  Use g = 10 N/kg.  In your calculations, make sure you convert to consistent units (kg and meters).

The spring force is initially greater than friction, so the block accelerates forward. But eventually the spring force decreases enough so that it is le (decelerates). In a physics lab experiment, one end of a horizontal spring that obeys Hooked's law is attached to a wall. The spring is compressed æo = 0.400 m, and a block with mass 0.300 kg is attached to horizontal surface. Electronic sensors measure the speed v of the block after it has traveled a distance d from its initial position against the compressed spring. The measured The spring is then released, and the block moves along a O The spring force is always less than friction, so the block decelerates all the time. values are listed in the table below. Submit Previous Answers d (m) v (m/s) v Correct 0.05 0.85 0.10 1.11 Part B 0.15 1.24 0.25 1.26 Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of æo into the expression. 0.30 1.14 0.35 0.90 Express your answer in terms of some…

A 2.50 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0300 m. The spring has force constant 840 N/m. The coefficient of kinetic friction between the floor and the block is .40. The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of .0200 m from its initial position (at this poing the spring is compressed 0.0100m)

Chapter 15, Problem 025 GO In the figure, a block weighing 16.1 N, which can slide without friction on an incline at angle e = 50.0°, is connected to the top of the incline by a massless spring of unstretched length 0.550 m and spring constant 140 N/m. The block is initially at its equilibrium position. (a) How far from the top of the incline is the block's equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)

A block of mass 11.0 kg slides from rest down a frictionless 36.0° incline and is stopped by a strong spring with  k = 2.30 ✕ 104 N/m.  The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?

A toy gun uses a spring to project a 6.2-g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 12 cm long, and a constant frictional force of 0.039 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.7 cm for this launch? (Assume the projectile is in contact with the barrel for the full 12 cm.)

A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?