A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.50 x 10-³ s, and the force of the kick is given by F(t) = [(9.55 × 105)t - (6.37 × 108)t²] N for 0≤t≤1.50 x 10-³ s where t is in -3 I seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed immediately after it loses contact with the player's foot.

A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.50 x 10-³ s, and the force of the kick is given by F(t) = [(9.55 × 105)t - (6.37 × 108)t²] N for 0≤t≤1.50 x 10-³ s where t is in -3 I seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed immediately after it loses contact with the player's foot.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 23PQ: The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net...

See similar textbooks

Similar questions

You have been hired as an expert witness in a court case involving an automobile accident. A piece of a bullet was found in the accident. The force on the bullet is given by the formula F=580 – (1.80 x 105)t over the time interval t=0 to t = 3.0 x 10-3s. In this formula, t is in seconds and F is in newtons. (i) Sketch a graph of F vs. t for t=0 to t = 3.0 ms. (ii) Using graphical methods, estimate the impulse given by the bullet. (iii) As a result of this impulse, the bullet achieves a speed of 220 ms-1, given to it in the barrel of a gun, what must its mass be? (iv) The accident involved car A of mass 1900 kg which crashed into stationary car B of mass 1100 kg. The driver of car A applied his brakes 15 m before he crashed into car B. After the collision, car A slid 18 m while car B slid 30 m. The coefficient of kinetic friction between the locked wheels and the road was measured to be 0.60. Determine the velocity for each car after the collisions.
The speed of an object increases uniformly from 5.00 m/s to 10.0 m/s in 2.00 s with a mass of 2.00 kg when a force is applied to it. What is the amount of force if the mass of the object is TRIPLED?
To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 70.0 kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) fully extended, and (b) bent at the knee to form a right angle with the upper leg.
The 4 lblb particle is subjected to the action of its weight and forces F1={2i+6j−2tk}lb, F2={t2i−4tj−1k}lb , and F3={−2ti}lb, where t is in seconds. Determine the distance the ball is from the origin 4 ss after being released from rest.
If a 0.50 kg block initially at rest on a frictionless, horizontal surface is acted upon by a force of 4.2 N for a distance of 4.3 m, then what would be the block's velocity (in m/s)?
A barefoot field-goal kicker imparts a speedof 27 m/s to a football initially at rest.If the football has a mass of 0.59 kg and thetime of contact with the ball is 0.034 s, whatis the magnitude of the force exerted by theball on the kicker’s foot?Answer in units of N.
A lift, with a mass of 250 kg, is initially at rest on the ground floor of a tall building. Passengers with an unknown total mass, m, climb into the lift. The lift accelerates upwards at 1.6 ?/?². The cable supporting the lift exerts a constant upward force of 7700 N.
Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown. The monument is made from tens of thou- sands of small stone blocks of density = 800 kg/m3 . The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. (a) Choosing a coordinate system with x = 0 at the center of the pyramid, y = 0 at the base of the pyramid, and z = 0 at the face of the pyramid shown in the diagram, determine the coordinates of the center of mass of the pyramid in the x, y, and z directions. (b) How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object–Earth system is given by Ug = MgyCM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.
The motion of the mass as shown for 0
A freight train consists of two 8.00×105-kg engines and 45 cars with average masses of 5.50×105kg. (a) What force must each engine exert backward on the track to accelerate the train at a rate of 5.00×10−2m/s2 if the force of friction is 7.50×105 N, assuming the engines exert identical forces? This is not a large frictional force for such a massive system. Rolling friction for trains is small, and consequently trains are very energy-efficient transportation systems. (b) What is the magnitude of the force in the coupling between the 37th and 38th cars (this is the force each exerts on the other), assuming all cars have the same mass and that friction is evenly distributed among all of the cars and engines?
Three 0.300-kg billiard balls are placed on a table at the corners of a right triangle as shown in the figure. The sides of the triangle are of lengths a = 0.400 m, b = 0.300 m, %3D and c = 0.500 m. Calculate the magnitude of the resultant force, F. F . m1 m3 O 7.66 x 10^-11 N 5 x 10^-11 N 3.5 x 10^-11N O 4.35 x 10^-11 N
A horizontal force of 12 N pushes a 0.50-kg book against a vertical wall. The book is initially at rest. If = 0.60 and = 0.50, the acceleration of the book is (in meter per second squared)