A 0.50 kg basketball is bounced straight down against the floor. It hits the floor with a speed of 9.0 m/s and bounces back vertically at a speed of 7.2 m/s. (a) What is the coefficient of restitution in this collision? (b) What is the change in kinetic energy of the ball? (c) What is the change in momentum of the ball? (d) Would this collision be categorized as totally inelastic, inelastic, or (totally) elastic? Explain.
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- A 0.05 kg ball is thrown straight up into the air with an initial speed of 20 m/s. Find the momentum of the ball at the following locations. (a) at its maximum height kg-m/s (b) halfway to its maximum height kg-m/s Need Help? Read ItA 2.2 kg block with a speed of 5.4 m/s collides with a 4.4 kg block that has a speed of 3.6 m/s in the same direction. After the collision, the 4.4 kg block is observed to be traveling in the original direction with a speed of 4.5 m/s. (a) What is the velocity of the 2.2 kg block immediately after the collision? (b) By how much does the total kinetic energy of the system of two blocks change because of the collision? (c) Suppose, instead, that the 4.4 kg block ends up with a speed of 7.2 m/s. What then is the change in the total kinetic energy?In 8.23 s, 210 bullets strike and embed themselves in a wall. The bullets strike the wall perpendicularly. Each bullet has a mass of 5 x 103 kg and a speed of 1180 m/s. (a) What is the average change in momentum per second for the bullets? (b) Determine the average force exerted on the wall. (c) Assuming the bullets are spread out over an area of 4.30 x 10-4 m² obtain the average pressure they exert on this region of the wall. (a) Number (b) Number (c) Number i i Units Units Units >
- A 0.278-kg volleyball approaches a player horizontally with a speed of 16.4 m/s. The player strikes the ball with her fist and causes the ball to move in the opposite direction with a speed of 21.6 m/s. (a) What impulse is delivered to the ball by the player? (Take the direction of final velocity to be the positive direction. Indicate the direction with the sign of your answer.) kg m/s (b) If the player's fist is in contact with the ball for 0.0600 s, find the magnitude of the average force exerted on the player's fist.In a car crash, according to equation F delta t = delta p, the longer the impact time, the smaller the force can be for the same momentum change, and hence the smaller the deformation of the object on which the force acts. On this basis, explain the effect of airbags on the stopping time and impact force on the vehicle occupants, given that the airbags are intended to inflate during an automobile collision and reduce the possibility of fracture or death.A ball having a mass of 150 g strikes a wall with a speed of 5.2 m/s and rebounds with only 50% of its initial kinetic energy. (a) What is the speed of the ball immediately after rebounding? (b) What is the magnitude of the impulse on the wall from the ball? (c) If the ball is in contact with the wall for 7.6 ms, what is the magnitude of the average force on the ball from the wall during this time interval?
- A 5 kg box is sliding on a frictionless surface at 10 m/s. It has an elastic collision with a 10 kg box sliding in the opposite direction 3 m/s. Find the velocities of the two boxes after the collision.A pitched 135 g baseball, in horizontal flight with a speed ?1 of 38 m/s, is truck by a batter. After leaving the bat, the ball travels in the opposite direction with the speed of ?2 = 38.5 m/s. (a) What impulse I acts on the ball while it is in contact with the bat?(b) If the impact time ∆? for the baseball-bat collision is 1.5 ms (millisecond). What average force acts on the baseball?(c) What is the average acceleration a of the baseball?A ball falls from height of 20.0 m, hits the floor, and rebounds vertically upward to height of 15.0 m. Assume that m ball = 0.385 kg. (a) What is the impulse (in kg. m/s) delivered to the ball by the floor? magnitude x direction 979.1 Assume the only impulse delivered to the ball is from the floor, which equals the change in momentum of the ball. Find the initial and final speeds of the ball using conservation of mechanical energy, and calculate Ap noting that all the motion is in the y-direction. kg. m/s up ✓✓ (b) If the ball is in contact with the floor for 0.0300 seconds, what is the average force (in N) the floor exerts on the ball? magnitude 19.223 x Use the impulse-momentum theorem and the result from part (a) to find the force, given that the contact time interval is 0.0300 s. N up direction ✓✓
- Consider two pool balls sliding frictionlessly across a pool table. Before the collision, ball 1 slides leftward at 2.0 m/s, and ball 2 is motionless. After the ”head-on” collision,ball 1 slides leftward at 0.50 m/s. Both balls have mass m = 0.10 kg. (a) What is thevelocity (speed and direction) of ball 2 after the collision? (b) During the collision, theballs heat up slightly. How many joules of ”dissipated” energy (e.g. heat and soundenergy) are generated during the collision?A golf ball is moving at speed vo to the East. After deflecting off a tree, it moves at a speed of 0.90vo in a direction which is 25° North of East. Check all the following answers which are true statements. There may be more than one correct answer! The impulse vector (delivered by the tree) has components which point North and West The ball's momentum vector has the same magnitude before and after the collision The impulse vector (delivered by the tree) points purely to the North The ball's momentum vector decreases in magnitude during the collisionA 160 -g billiard ball traveling at 1.67 m/s approaches the table's side cushion at a 30∘ angle and rebounds at the same angle. Find the change in the ball's momentum if its speed after striking the cushion is (a) unchanged and (b) reduced to 1.42 m/s.(c) For both cases, find the average force the cushion exerts on the ball if they're in contact for 25 ms.