You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass m is fired into a block of mass M. The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose spring constant is k. The opposite end of the spring is anchored to a wall. The spring's maximum compression d is measured. What percentage of the bullet's energy is "lost"?

Q: In the figure, a 2.7 kg block is accelerated from rest by a compressed spring of spring constant 660…

A: the vertical forces are normal force (up) and gravity force (down).  As Vertical component = 0

Q: The massless spring of a spring gun has a force constant k = 14.5 N/cm. When the gun is aimed…

A:

Q: An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides…

A:

Q: A block of mass 11.8 kg slides from rest down a frictionless 35.6∘∘ incline and is stopped by a…

A: Since the incline is frictionless and no other non-conservative forces are acting on the system, the…

Q: a ball of mass m = 60 g is shot with speed vi 22 m/s into the barrel of a spring gun of mass M 240 g…

A: Given: Now,  (a) What is the speed of the spring gun after the ball stops in the barrel Now, Final…

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A: Given Mass of car A is mA= 54.0 × 104 kg Initial velocity of car A is vA=4.50 m/s maximum…

Q: A ball of mass m = 2.00 kg is released from rest at a height h = 72.0 cm above a light vertical…

A: a) let speed of the ball just as it touches the spring is v  by mechanical energy conservation…

Q: A 5.00-kg block is moving at 5.00 m/s along a horizontal frictionless surface toward an ideal…

A: Given data: Mass of the block, m=5.00 kg Speed of the block, u=5.00 m/s Compression in the spring,…

Q: A ball of mass m = 1.75 kg is released from rest at a height h 57.0 cm above a light vertical spring…

A: mass, m = 1.75 kg  height, h = 57 cm compression, d = 9.4 cm

Q: A pogo stick has a spring with a force constant of 2.50 × 104 N/m , which can be compressed 11.2 cm.…

A: Initially, the energy stored in the compressed spring is:

Q: A 8 kg pendulum is swinging back-and-forth. When the pendulum is at some point between its maximum…

A: Explanation Total energy of the pendulum can be obtained by the sum of potential energy and kinetic…

Q: A 1.78 kg ball rolls on a frictionless horizontal surface at 5.17 m/s and collides with a stationary…

A:

Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: A 0.75 kg block is held at rest against a spring with a force constant k=730 N/m. The spring is…

A: Given data The mass of the block is: m = 0.75 kg The spring constant of the spring is: k = 730 N/m…

Q: A mass m1 = 8.00 kg is in equilibrium while connected to a light spring of constant k = 155 N/m, as…

A:

Q: A ball of mass  m = 1.65 kg  is released from rest at a height  h = 66.0 cm  above a light…

A: Given data:  Mass of the ball (m) = 1.65 kg Initial velocity (V0) = 0 m/s Height (h) = 66.0 cm…

Q: In the figure, a 4.5 kg block is accelerated from rest by a compressed spring of spring constant 630…

A:

Q: A spring gun (k= 28.0 N/m) is used to shoot a 41.3-g ball horizontally. Initially the spring is…

A: Given: The spring constant is 28 N/m. The mass of the ball is 41.3 g. The initial compression in the…

Q: A ball of mass m = 2.00 kg is released from rest at a height h = 54.0 cm above a light vertical…

A: Given Data : The mass of the ball is given as m = 2 Kg. The Height of the ball from the spring's top…

Q: A pendulum of length L = 1.0 meter and bob of mass m = 1.0 kg is released from rest at an angle  =…

A:

Q: A block of mass m-0.25 kg initially moving with= 4 m/s on a smooth surface hits a spring of k= 10000…

A: Hai as per our guidelines we are suppose to answer only one question. Kindly repost other question…

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

A:

Q: a box of mass  m = 9.20 kg  is sliding across a horizontal frictionless surface with an initial…

A: (given)              Mass of box = 9.20 kg              Initial speed = 2.80 kg Spring constant ( k…

Q: Mickey, a daredevil mouse of mass  0.0231 kg,  is attempting to become the world's first "mouse…

A: Given, Mass of the mouse m = 0.0231 Kg Spring force constant k = 57. 5 N/m compress distance x =…

Q: The desperate contestants on a TV survival show are very hungry, but the only food they can see is…

A: Let the spring constant of the spring be k, the maximum compression of the spring be x, and the mass…

Q: art of mass 0.4 kg is pressed against the spring of a toy gun. The spring with a constant K = 160…

A: Given values:- Mass of the dart,(m)=0.4 kg ----(1) Spring constant,(k)=160 N/m=160 kg/sec2 ----(2)…

Q: A ball of mass m = 1.75 kg is released from rest at a height h = 68.0 cm above a light…

A:

Q: A pitcher bestows a power of P = 206 W to a baseball of mass m = 0.095 kg for a period of t = 0.28…

A:

Q: A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Consider the final point will be the datum/reference point.  The vertical distance from the initial…

Q: A hockey puck sliding along frictionless ice with speed ν to the right collides with a horizontal…

A: Given ,  speed of hockey puck before colliding with spring , u1 =v               speed of hockey…

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given data: Mass (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: A0. 1kg bullet is fired horizontally at initial speed 10m/s into a 0.9kg wooden block that is…

A: Given data: Mass of bullet is, m=0.1 kg. Initial speed of bullet is, u=10 m/s. Mass of block is,…

Q: A block of mass 15.0 kg slides from rest down a frictionless 33.0° incline and is stopped by a…

A: mass, m = 15 kg  Angle, A = 33°  k= 4 x 104 N/m distance, d= 3 m

Q: a block of mass m= 3.20 kg slides from rest a distance d down a frictionless incline at angle u =…

A: As there is no external or non-conservative force mechanical energy will remain conserved.

Q: A 5.00 g bullet moving with a initial speed of v; = 400m/s is fired into and pa sses a 1.00 kg…

A:

Q: spring is initially compressed 0.5 m, and block A is released from rest, in the position shown in…

A: Energy stored in spring = (1/2)kx2   k = Force constant = 100 N/m In all collision momentum is…

Q: A 1.62 kg ball rolls on a frictionless horizontal surface at 4.59 m/s and collides with a stationary…

A:

Q: A box of mass  m = 2.20 kg  is dropped from rest onto a massless, vertical spring with spring…

A: according to the conservation of energy, Kf-Ki+Uf-Ui=0                               1

Q: An inclined plane of angle e = 20.0° has a spring of force constant k = 520 N/m fastened securely at…

A:

Q: consider a popgun with a spring constant 843 N/m. A projectile of mass 0.06 kg is inserted into the…

A: Apply the conservation of energy between final position (max height) and initial position.

Q: A box of mass m = 10 kg moves with a speed Vo-4.5 ms on a frietionless horizoutal floor as shown in…

A: Given: The mass of the box is m=10 kg. The velocity is V0=4.5 m/s. The spring constant is k=5 kN/m.…

Q: A collision cart on a flat track is launched using a compressed internal spring. The cart has a mass…

A: Solution: Given: m = mass of cart = 0.5 kg k = spring constant of spring = 270 N/m s = compression…

Q: A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: According to energy conservation law, potential energy of block at the top of incline is equal to…

Q: bullet with a mass mb=11.9 g is fired into a block of wood at velocity vb=245 m/s. The block is…

A: Apply conservation of momentum principle mbvb=mb+mwv11.9×10-3 kg245 ms=mb+mwv2.9155 kg ms=mb+mwv…

Q: mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel…

A: The mass of the block A is m1 = 10 kg  The mass of the block B is m2 = 40 kg  The compressed…