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 was the speed of a 2.1 g bullet if the block's mass is 1.5 kg and if the spring, with k = 40 N/m , was compressed by 15 cm ?

Q: Particle A and particle B are held together with a compressed spring between them. When they are…

A: Let mass of B = m Mass of A = 5 m Using conservation of momentum 0 = mu + (5m)Vu = -5 V ...(1)Using…

Q: In the figure, a 2.1 kg box of running shoes slides on a horizontal frictionless table and collides…

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Q: Consider a frictionless track as shown in the figure below. A block of mass m1 = 2.00 kg is…

A: 2)vf                  vf = 2*4.752+2 m/s                  vf = 2.

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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: Since the heavy particle remains fixed, before and after the motion of the lighter particle, it does…

A: From the energy conservation, we conclude,…

Q: A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from…

A: When pendulum moves its total energy is conserved, hence Potential energy at A = Kinetic energy at B…

Q: frictionless

A: Given: Mass of the bullet = 10 g Mass of the block = 1.60 Kg Value of spring constant = 23.7 N/m…

Q: The figure below shows a stationary block of mass 1 kg resting on a frictionless surface and…

A: Write a given values of this question. Mass of block. m1=1kg Spring content. k=900N/m  Mass of…

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Q: How much kinetic energy is lost in the inelastic collisions? Where does it go? Is it still in the…

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Q: A 60 g bullet with an initial speed of 700 m/s is fired parallel to a ramp at an angle 20° into a…

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Q: An 8.0-g bullet is shot into a 4.0-kg block, at rest on a frictionless horizontal surface (see the…

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Q: QUESTION 5 k |m₁ = ? Vo m₂ Xmax A first mass is at rest on a frictionless horizontal surface and…

A: the compression is maximum when the masses comes to rest

Q: 3. A 1.0 kg block at rest on a horizontal frictionless sur- face is connected to an unstretched…

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: In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle 0…

A:

Q: In the figure below, a ball of mass m = 61 g is shot with speed v, = 26 m/s into a barrel of spring…

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Q: A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from…

A: Mass of pendulum, m1=2.00 kgAngle with the vertical, θ=50.0°Length of cable, L=1.20 mMass of block,…

Q: When a 59.6 kg athlete stands on top of a spring instrument, the spring shortens by 4.48 cm. What is…

A:

Q: A box of mass m = 0.31 kg is set against a spring with a spring constant of k1 = 549 N/m which has…

A: a)The required distance is,

Q: A bullet with a mass m = 12.7 g is fired into a block of wood at velocity vo = 261 m/s. The block is…

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

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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…

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Q: If a particle of mass 100 g initially had a speed of 100 cm/s, what would be its approximate kinetic…

A: In this question we have to find the kinetic energy at the end of 10 cm fall. Please give positive…

Q: A box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has…

A: Given data *The given mass of the box is m = 0.14 kg *The spring constant is k1 = 670 N/m *The…

Q: In the figure, block 1 (mass 3.2 kg) is moving rightward at 13 m/s and block 2 (mass 5.5 kg) is…

A:

Q: a 3.2 kg box of running shoes slides on a horizontal frictionless table and collides with a 2.0 kg…

A:

Q: Two blocks (A of mass 1.47 kg and B of mass 2.94 kg) resting on a frictionless horizontal table are…

A: SOlution:

Q: Figure shows a ballistic pendulum, a simple system for measuring the speed of a bullet. A bullet of…

A: Given, A bullet of mass = mB Mass of wood  =mW

Q: The massless spring of a spring gun has a force constant k = 12.5 N/cm. When the gun is aimed…

A: force constant = K = 12.5 N/cm = 1250 N/m mass = m = 10 g = 0.01 kg height = h = 5 m

Q: In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of…

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Q: A block of mass m1 = 12.5 kg slides along a horizontal surface (with friction, μk = 0.29) a distance…

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: y=10 m/s v=3 m/s k 1 2

A: We have been given, a mass m1=2 kg moves with a speed v1=10 m s-1 and collides with a spring of…

Q: A 5.0-kg block is approaching an ideal massless spring at a speed of v = 5.0 m/s álong a horizontal…

A: Mass of the block is m = 5.0 kg Velocity of the block is v = 5.0 m/s Maximum compression in the…

Q: A 5.75-kg object passes through the origin attime t = 0 such that its x component of velocity is…

A: Given that x component of velocity and y component of velocity. Then We have to determine the…

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…

Q: In the figure, a 4.6 kg box of running shoes slides on a horizontal frictionless table and collides…

A: Given:  The mass of the running shoe box is m1 =4.6 kg. The mass of the ballet slippers is m2 = 3 kg…

Q: In Fig. a 3.2 kg box of running shoes slides on a horizontal frictionless table and collides with a…

A: Free body diagram of the system is as given bellow: Use the following equations: Linear momentum is…

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

A: Mass of the block is m = 5 kg Initial speed of the block is u = 5 m/s Compression in the spring is x…

Q: A 10.0 g bullet is fired into and embeds itself in a 2.30 kg block attached to a spring with a…

A: From Conservation of momentum ,m1u1+m2u2=(m1+m2)V0+(0.01×300)=(0.01+2.3)VV =1.3 m/sVelocity of the…

Q: A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a…

A: Given that, Mass of a bullet, m = 10 g = 0.01 kg Mass of a block, M = 1.6 kg The spring constant of…