A 60-kg archer stands at rest on frictionless ice and fires a 0.030-kg arrow horizontally at 85 m/s (as shown). With what velocity does the archer move across the ice after firing the arrow?
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- A 250-g golf club head moving horizontally at 24.2 m/s strikes a stationary 45.7−g ball. The ball comes off the club moving in the club's initial direction at 37.6 m/s. Find the club head's speed immediately after contact. (Assume there's no additional force from the golfer.)A 6.75-kg bowling ball moving at 8.95 m/s collides with a 0.875-kg bowling pin, which is scattered at an angle of θ = 24.5° from the initial direction of the bowling ball, with a speed of 11.2 m/s. Calculate the magnitude of the final velocity, in meters per second, of the bowling ball.A small songbird with a mass of 0.020 kg is standing on a branch. A falcon with a mass of 0.890 kg catches the song bird in the air while flying horizontally with a velocity of 8.70 m/s. How much kinetic energy is lost in the collision when the falcon catches the songbird (both fly off horizontally in the same direction as the falcon? Express your answer to two decimal places in units of Joules, but do not include units in your answer.
- You launch a 20 kg shell at 45 degrees and at a speed of 25 m/sec. 1 second after launching it, it explodes into two fragments. Note that the first fragment of 15 kg has a speed of 30 m/sec horizontally forward immediately after the explosion. What is the speed of the second fragment ?A baseball arrives at home plate at a speed of 43.3 m/s. The batter hits the ball along the same straight line directly back at the pitcher at 68.4 m/s (think about the directions). The baseball has a mass of 0.145 kg and the bas is in contact with the ball for 6.28x10^-4 s. What is the magnitude of the average force on the ball from the bat?A block is released from rest at the top of the frictionless ramp shown in the figure. Mass 1 is 1.53 kg and it is released from a height of 1.01 m above the table. The block collides elastically with block 2, initially at rest. Mass 2 is 4.14 kg. How far from the base of the table does mass 1 eventually land if the table has a height of 2.54 m? (Take the initial direction of block one as positive.)
- 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.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/sA 1.14 kg block of wood is suspended from a light string and is initially at rest. The string is tied to a ring, which is attached to the ceiling. A 0.00955-kg bullet is shot horizontally from a gun with a speed of 683 m/s toward the block. The bullet embeds itself into the block. Together, the bullet and block swing together away from the vertical. To what maximum angle from the vertical does the bullet and block swing before momentarily stopping? Neglect air resistance. Assume the string is massless, is 2.00 m long, and does not bend while it is swinging
- A 46,0-kg girl is standing on a 161-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.461 m/s relative to the plank. (a) What is the velocity of the plank relative to the ice surface? 1 m/s (b) What is the gitt's velocity relative to the ice surface?A baseball player pitches a fastball toward home plate at a speed of 41.0 m/s. The batter swings, connects with the ball of mass 290 g, and hits it so that the ball leaves the bat with a speed of 37.0 m/s. Assume that the ball is moving horizontally just before and just after the collision with the bat. If the bat and ball are in contact for 3.00 ms, what is the magnitude of the average force exerted on the ball by the bat? answer in knA 28-g bullet moving horizontally strikes and remains in a 2.6-kg block initially at rest on the edge of a table. The block, which is initially 88 cm above the floor, strikes the floor a horizontal distance of 113 cm from its initial position. What was the initial speed of the bullet?