17. A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on a smooth surface frictionless surface. The block slides toward a horizontal spring, (k= 99.0 N/m). A maximum compression of 1.50 cm is observed. What is the mass of the block of wood? Draw a small diagram of the situation.
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- A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P8.57. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision. Figure P8.57Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them (Fig. P8.7). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the systems original elastic potential energy, taking m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion beforehand and plenty of motion afterward? Figure P8.7A 5.00 gram bullet is fired at a velocity of 400 m/s into a 1.00 kg block attached to a spring [k=900 N/m]. The bullet emerges through the block on the other side. If the block moves 5.00 cm to the right before it stops, what is the final velocity of the bullet?
- A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that rests on a frictionless, horizontal surface and is attached to an ideal spring. The impact compresses the spring 15.0 cmcm. Calibration of the spring shows that a force of 0.750 NN is required to compress the spring 0.250 cmcm. (Figure 1) 1) Find the magnitude of the block's velocity just after impact. 2) What was the initial speed of the bullet?A 0.203 kg baseball is pitched to a batter with an initial speed of 18.4 m/s, if the bat delivers a force of 2.09E3 N for a time of 0.00300 s, what speed does the baseball have as it is hit back towards the pitcher?A bullet of mass mm = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg which then compresses a spring (k = 130 N/m ) by a distance x = 0.053 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50. A. What is the initial velocity (assumed horizontal) of the bullet? B. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
- In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.A 12.0-g bullet is fired horizontally into a 109-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 144 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 87.0 cm, what was the speed of the bullet at impact with the block? m/sA 5.08×104 kgkg railroad car moves on frictionless horizontal rails until it hits a horizontal spring stopper with a force constant of 4.09×105 N/mN/m . When the railroad car comes to a complete stop, the compression of the spring stopper is 30 cmcm . How fast was the railroad car initially?
- A bullet with a mass ?b=12.3mb=12.3 g is fired into a block of wood at velocity ?b=257vb=257 m/s. The block is attached to a spring that has a spring constant ?k of 205205 N/m. The block and bullet continue to move, compressing the spring by 35.035.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass of the wooden block.A box of mass 60.0 g slides at 25.0 m/s along a horizontal frictionless surface, and makes a perfectly elastic collision with a box of mass 370 g that is initially at rest. The second box then slides into a spring with spring constant 18.0 N/m that stops the box and sends it back in the other direction. What is the maximum compression of the spring relative to its equilibrium position during this process?A. 18.8 m.B. 2.58 m.C. 0.500 m.D. 0.143 m.E. 1.00 mA 29-g bullet is fired into a 900-g block of wood which is suspended as a ballistic pendulum. The combined mass swings up to a height of 4.2 cm above where it originally was. What was the kinetic energy of the combined mass immediately after the collision? a) 0.94 J b) 0.38 J c) 5.03 J d) 1.86 J