Problem 2A soccer player kicks, horizontally, a soccer ball of mass m = 0.45 kg that is initially at rest.The foot of the player is in contact with the ball for 3 x 10-3that time interval is given bys, and the force of the kick inF = 6 × 10°t –- 2 × 10°t² Nwhere t is in seconds. Find(a) the impulse on the ball due to the kickand(b) the ball's velocity immediately after it loses contact with the player's foot

Answered: Image /qna-images/answer/7e55ced3-1b17-447c-97dd-6213b766f4d1.jpg

A soccer player kicks, horizontally, a soccer ball of mass m= The foot of the player is in contact with the ball for 3 x 10-3 s, and the force of the kick in that time interval is given by 0.45 kg that is initially at rest. F = 6 x 10°t – 2 × 10ºt² N where t is in seconds. Find (a) the impulse on the ball due to the kick and (b) the ball's velocity immediately after it loses contact with the player's foot

A soccer player kicks, horizontally, a soccer ball of mass m= The foot of the player is in contact with the ball for 3 x 10-3 s, and the force of the kick in that time interval is given by 0.45 kg that is initially at rest. F = 6 x 10°t – 2 × 10ºt² N where t is in seconds. Find (a) the impulse on the ball due to the kick and (b) the ball's velocity immediately after it loses contact with the player's foot

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 9P: A soccer player takes a corner kick, lofting a stationary ball 35.0 above the horizon at 22.5 m/s....

See similar textbooks

Similar questions

Professional Application Suppose a child drives a bumper car head on into the side rail, which exerts a force of 4000 N on the car for 0.200 s. (a) What impulse is imparted by this force? (b) Find the final velocity of the bumper car if its initial velocity was 2.80 m/s and the car plus driver have a mass of 200 kg. You may neglect friction between the car and floor.
Professional Application A professional boxer hits his opponent with a 1000-N horizontal blow that lasts for 0.150 s. (a) Calculate the impulse imparted by this blow. (b) What is the opponent's final velocity, if his mass is 105 kg and he is motionless in midair when struck near his center of mass? (c) Calculate the recoil velocity of the opponent's 10.0-kg head if hit in this manner, assuming the head does not initially transfer significant momentum to the boxer's body. (d) Discuss the implications of your answers for parts (b) and (c).
An estimated force-time curve for a baseball struck by a bat is shown in Figure P9.13. From this curve, determine (a) the magnitude of the impulse delivered to the ball and (b) the average force exerted on the ball. Figure P9.13
In a slow-pitch softball game, a 0.200-kg softball crosses the plate at 15.0 m/s at an angle of 45.0 below the horizontal. The batter hits the ball toward center field, giving it a velocity of 40.0 m/s at 30.0 above the horizontal. (a) Determine the impulse delivered to the ball. (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force on the ball?
A 65.0-kg basketball player jumps vertically and leaves the floor with a velocity of 1.80 m/s upward, (a) What impulse does the player experience? (b) What force does the floor exert on the player before the jump? (c) What is the total average force exerted by the floor on the player if the player is in contact with the floor for 0.450 s during the jump?
Professional Application Two manned satellites approach one another at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.00103 kg, and the second a mass of 7.50103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity?
A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45
A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45
A cruise ship with a mass of 1.00107 kg strikes a pier at a speed of 0.750 m/s. It comes to rest 6.00 m later, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest.)
In research in cardiology and exercise physiology, it is often important to know the mass of blood pumped by a persons heart in one stroke. This information can be obtained by means of a ballistocardiograph. The instrument works as follows. The subject lies on a horizontal pallet floating on a film of air. Friction on the pallet is negligible. Initially, the momentum of the system is zero. When the heart beats, it expels a mass m of blood into the aorta with speed , and the body and platform move in the opposite direction with speed V The blood velocity can be determined independently (e.g., by observing the Doppler shift of ultrasound). Assume that it is 50.0 cm/s in one typical trial. The mass of the subject plus the pallet is 54.0 kg. The pallet moves 6.00 10-5 m in 0.160 s after one heartbeat. Calculate the mass of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person. (This simplified example illustrates the principle of ballistocardiography, but in practice a more sophisticated model of heart function is used.)
A soccer player takes a corner kick, lofting a stationary ball 35.0 above the horizon at 22.5 m/s. If the soccer ball has a mass of 0.425 kg and the players foot is in contact with it for 5.00 102 s, find (a) the x- and y - components of the soccer balls change in momentum and (b) the magnitude of the average force exerted by the players foot on the ball.
Starting with equations m1v1=m1v1cos1+m2v2cos2 and 0=m1v1cos1+m2v2sin2 for conservation of momentum in the x- and y -directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 12mv12=12mv22+mv1v2cos(12) as discussed in the text.