Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the "spring" is massless, what is the speed of the arrow immediately after it leaves the bow?
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- A 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown. The block is held so that there is 1.2 J stored in the spring and then the block is released from rest. If there is no friction, what is the speed of the block when the energy stored in the spring is 0.0 J?An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F = (3N)i + (4N)j. What is the object's speed in m/s after moving 1 meter?The desperate contestants on a TV survival show are very hungry. The only food they can see is some fruit hanging on a branch high in a tree. Fortunately, they have a spring they can use to launch a rock. The spring constant is 1300 N/m, and they can compress the spring a maximum of 38 cm. All the rocks on the island seem to have a mass of 480 g. With what speed does the rock leave the spring?
- A spring has a force constant of 12.0 N/m and a rest length of 0.10 m. 0.375 J of energy are used to stretch the spring. What is the new spring length?A toy cannon uses a spring to project a 5.31-g soft rubber ball. The spring is originally compressed by 5.08 cm and has a force constant of 7.95 N/m. When the cannon is fired, the ball moves 14.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 2 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? 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 Need Help? Submit Answer Read It Watch ItA 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 0.45 kg box approaches the ramp at an unknown velocity. It travels up the 0.04 meters high ramp and compresses a spring (with spring constant, k = 55 N/m) a distance of 0.05 m. How fast was the box originally traveling? Ignore friction and air resistance.Two blocks with masses 0.342 kg (A) and 0.719 kg (B) sit on a frictionless surface. Between them is a spring with spring constant 27.7 N/m, which is not attached to either block The two blocks are pushed together, compressing the spring by 0.270 meter, after which the system is released from rest. What is the final speed of the block A? (Hint: you will need to use both conservation of energy and conservation of momentum to solve this problem).How far the block will compress the spring after fall back from its maximum height?
- Sam is shooting a 10 kg rock using a catapult. The posts are 2 m apart and have an unstretched elastic band of the same length between them. The rock and band are pulled back by 1.5 m, which requires a force of 2000 N at the furthest point. How fast will the rock move when released?A 150 gg particle at x= 0 is moving at 8.00 m/s in the +xdirection. As it moves, it experiences a force given by Fx=(0.950N)sin(x/2.00m).What is the particle's speed when it reaches x = 3.14 m?