In the design of a spring cannon,determine the elastic spring constant, with two decimal places, required to launch a ball of 1.7 kg with an initial velocity of 9.3 m/s, from an initial position in which the spring is offset of 28cm in relation to the equilibrium point
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In the design of a spring cannon,determine the elastic spring constant, with two decimal places, required to launch a ball of 1.7 kg with an initial velocity of 9.3 m/s, from an initial position in which the spring is offset of 28cm in relation to the equilibrium point
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- A spring is used to stop a 60 kg package that is sliding on a horizontal surface. The spring has a constant K = 20,000 N/m and is held by cables so that it is initially compressed 0.12 m. The package has a velocity of 2.5 m/s in the position shown, and the maximum additional deflection is 0.04 m. Determine: (a) the coefficient of friction between package and the surface, (b) the velocity of the package as it passes again through the position shown. 2.5 m/s Cable, -60 kg- 600 mmHello, here is my question A spring with spring constant k = 3.75 N/cm is compressed 7.00 cm. A 1.50 kg mass is placed next to the compressed spring. When the spring is released, this mass moves without friction and collides with a stationary mass of 2.00 kg. The two masses stick together and move without friction up a slope angled at 20.0 degrees. (a) (10 points) How far along the slope does the two-mass system travel? (b) (5 points) If it takes 5.00*10-3 seconds from the initial impact for the two masses to stick together, what is the magnitude of the average contact force between the two blocks? (c) (5 points) The two-mass system will slide back down the slope and compress the spring. What is the spring’s maximum compression? Thank you!A spring project uses a plastic ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have maximum speed? (c) What is this maximum speed? When the ball is 5.30 grams. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the ball is fired and moves 15.0cm through the horizontal barrel of the cannon and the barrel exerts a constant friction force of 0.0320N on the ball. (Choose the three best answers, one for each sub question)
- A 5-kg sphere is dropped from a height of y= 3 m to test a new spring floor used in gymnastics. The mass of floor section B is 12 kg, and the sphere bounces back upwards a distance of 44 mm. Knowing that the maximum deflection of the floor section is 33 mm from its equilibrium position, determine (a) the coefficient of restitution between the sphere and the floor, (b) the effective spring constant k of the floor section.A spring with spring constant of 100 N/m launches a 20 g ball verticallyn into the air. If the ball reaches a height of 20 m, determine the original compression distance of the spring.A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring (with spring constant of 20,000.0 N/m), initially unstretched as shown in the figure. The cannon fires a 200.0-kg projectile directed at 45.0 degrees above the horizontal and the recoil causes the spring to stretch a distance of 1.80 m. Suppose that the mass of the cannon and its carriage (without the projectile) is 5000.0 kg and that the projectile is fired 3.00 meters above the surface. Determine the maximum height of the projectile. You may ignore air resistance, the kinetic friction of the carriage, and the rotational kinetic energy of the wheels.
- A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.24 kg . When setting the launcher, you compress the spring a distance of 13 cm. You then fire the launcher straight up and find that the projectiles reach a maximum height of 0.9 mm above the point that they leave the launcher. You load another ball bearing, compress the spring a distance of 20 cmcm, and place it horizontally at the edge of a table that is 0.6 mm tall. You fire the ball from the edge of the table. How far from the base of the table does it hit the ground?You are asked to design a spring that will give a 1160 kg satellite a speed of 2.50 m>s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring’s mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. (a) What must the force constant of the spring be? (b) What distance must the spring be compressed?A 2.0 kg block located on an inclined surface is pushed against a spring with negligibile mass as shown in the figure. The block is released with an initial velocity v, =1.5 m/ls. it moves along a frictionless surface along inclined with slope 37° and continue moving along a rough horizontal surface ( g) with u, =0.3, and collide with the spring (k-400 N/m). Answer the following questions : ( Take g= 10 misē) k400 N/m 37 1) Find the potential Energy at point A? 2) Find the Mechanical EnerRy at point A? 3) Find the velocity of the block at point Balong the track ? 4) Find the velocity of the block at point Cjust before it strike the spring? 5) Find the maximum displacement the spring will compressed ? 6) Find the work done by frictional force?
- A block of mass m = 0.37 kg is set against a spring with a spring constant of k1 = 657 N/m which has been compressed by a disntace of 1.0 m. SOme distance in frount of it , along a frictionless service, is another spring with a spring constant of k2 = 268 N/m. The block is not connected to the first spring and may freely slide. I found that d2 = 0.156 Now assume that the surface is rough. You perfrom the experiement and observe that the second spring only compresses a distance of d2/2. How much engery in juels, was lost to friction?A vertical spring with a spring constant of 480 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is compressed by 2.0 cm in bringing the block to a momentary halt. Assuming air resistance is negligible, from what height (in cm) above the compressed spring was the block dropped?In a pinball machine, a horizontal spring with a spring constant of 31 N/m, is compressed by 4.0 cm and is used to launch a ball of mass 12 grams horizontally. Calculate the speed of the ball immediately after launch, assuming that there are no non-conservative forces acting. Give the speed in m/s to 2 significant figures. Your Answer: Answer