A cannon of mass 6.13 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 74.5-kg shell horizontally with an initial velocity of 590 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.) Number i Units

A bullet of mass m = 8.00 g is fired into a block of mass M = 240 a that is initially at rest at the edge of a table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d = 1.50 m from the bottom of the table. Determine the initial speed of the bullet. Use the given information to find the velocity of the block after collision with the bullet and then use conservation of momentum to find the initial speed of the bullet. m/s Need Help? Read It Master It Submit Answer

A baseball has a mass of 0.140 kg, and it is pitched towards home plate at a speed of 48.0 m/s. Assume that the ball is pitched horizontally and that the ball is hit horizontally back in the opposite direction. If the bat exerts an average force of 9100 N for 2.80 ms, what is the final speed of the ball in m/s?

A 2.76-kg steel ball strikes a massive wall at 10.0 m/s at an angle of θ = 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.176 s, what is the average force exerted by the wall on the ball?

Two identical pucks collide on an air hockey table. One puck was originally at rest. If the incoming puck has a velocity of 6.30 m/s along the +x-axis and scatters to an angle of 30.0° above the +x-axis, what is the velocity (magnitude and direction) of the second puck? (You may use the result that 8₁ 8₂ = 90° for elastic collisions of objects that have identical masses.) Velocity (magnitude) = Velocity (direction) = below +x-axis Submit Answer Tries 0/40 What is the kinetic energy before and after the collision if the mass of each puck is 0.17 kg? (The collision is elastic.) Kinetic energy before collision = [ Kinetic energy after collision = Submit Answer Tries 0/40 Post Discussion Send Feedback

An unstable atomic nucleus of mass 1.50 x 10 26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.10 x 10 27 kg, moves in the y direction with a speed of 6.00 x 106 m/s. Another particle, of mass 8.50 x 10 27 kg, moves in the x direction with a speed of 4.00 x 106 m/s. (a) Find the velocity of the third particle. |î) m/s (b) Find the total kinetic energy increase in the process.

A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.9 kg, is moving upward at 23 m/s and the other ball, of mass 1.3 kg, is moving downward at 14 m/s. How high do the combined two balls of putty rise above the collision point? (Neglect air drag.)

One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted by a 0.100 mg chip of paint that strikes a spacecraft window at a relative speed of 4.00 × 10³ m/s, given the collision lasts 6.00 x 10-8 s.

A bullet, with mass 0.008 kg is fired into a block of wood with mass 1.96 kg suspended like a pendulum. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact of the bullet, the block swings up to a maximum height 0.079 m. Find the initial speed of the bullet? a) DVB V₂ Δε C M ب 6) /// hJ دو ► M+m

During a fireworks display, a 0.280-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.180 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of4.30 m/sand the second piece is observed traveling at an angleθ = 39.0°above the horizon at a speed of 17.0 m/s.   Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =    m/s Vyi  =    m/s