*Problem 3: A 1000 kg car travelling at 60 mph (26.84) impacts a brick wall. The car comes to a stop in At = 15 ms. a) What is the magnitude of the impulse (J ) applied to the car? (A: 26,800 Ns) b) What is the magnitude of the net force applied to the car during the crash? (A: 1.79x106 N) c) A person with a mass of 75 kg is strapped into the car. What is the magnitude of the impulse applied to the person? (A: 2010 Ns) d) What is the magnitude of the net force applied person during the crash? (A: 134,000 N) e) What is the acceleration of the person during the crash in terms of g? 1g = 9.8 (A: 182g) f) How could we increase the survivability of the crash? Explain.

*Problem 3: A 1000 kg car travelling at 60 mph (26.84) impacts a brick wall. The car comes to a stop in At = 15 ms. a) What is the magnitude of the impulse (J ) applied to the car? (A: 26,800 Ns) b) What is the magnitude of the net force applied to the car during the crash? (A: 1.79x106 N) c) A person with a mass of 75 kg is strapped into the car. What is the magnitude of the impulse applied to the person? (A: 2010 Ns) d) What is the magnitude of the net force applied person during the crash? (A: 134,000 N) e) What is the acceleration of the person during the crash in terms of g? 1g = 9.8 (A: 182g) f) How could we increase the survivability of the crash? Explain.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 13PQ: A crate of mass M is initially at rest on a level, frictionless table. A small block of mass m (m ...

See similar textbooks

Similar questions

A skater is standing still on a frictionless ice rink. Her friend throws a Frisbee straight to her. In which of the following cases is the largest momentum transferred to the skater? (a) The skater catches the Frisbee and holds onto it. (b) The skater catches the Frisbee momentarily, but then drops it vertically downward, (c) The skater catches the Frisbee, holds it momentarily, and throws it back to her friend.
An estimated force vs. time curve for a baseball struck by a bat is shown in Figure P6.8. From this curve, determine (a) the impulse delivered to the ball and (b) the average force exerted on the ball.
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
A crate of mass M is initially at rest on a level, frictionless table. A small block of mass m (m M) moves toward the crate as shown in Figure P11.13. After the collision, the block sticks to the crate. Is the magnitude of the impulse exerted on the crate by the block greater than, less than, or equal to the magnitude of the impulse exerted on the block by the crate during the collision process? Explain. FIGURE P11.13
The x-component of a force on a 46-g golf ball by a 7-iron versus time is plotted in the following figure: Find the x-component of the impulse during the intervals i. [0,50ms] , and ii. [50ms,100ms] Find the change in the x-component of the momentum during the intervals iii. [0,50ms] , and iv. [50ms,100ms]
a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? Why? (c) Write the general equation for conservation of momentum in terms of m1, v1, m2, v2, and final velocity vf. (d) Solve the momentum equation for vf. (e) Substitute values, obtaining the numerical value for vf, their speed after the collision.
In a laboratory, a cart collides with a wall and bounces back. Figure P11.10 shows a graph of the force exerted by the wall versus time. a. Find the impulse exerted by the wall on the cart. b. What is the average force exerted by the wall on the cart? c. If the cart has a mass of 0.448 kg, what is its change in velocity? d. Make a sketch of the situation. Include a coordinate system and explain the significance of the signs in parts (a) through (c). FIGURE P11.10
A tennis player receives a shot with the ball (0.060 0 kg) traveling horizontally at 20.0 m/s and returns the shot with the ball traveling horizontally at 40.0 m/s in the opposite direction. (a) What is the impulse delivered to the ball by the tennis racket? (b) Some work is done on the system of the ball and some energy appears in the ball as an increase in internal energy during the collision between the ball and the racket. What is the sum W Eint for the ball?
(a) Calculate the momentum of a 2000-kg elephant charging a hunter at a speed of 7.50 m/s. (b) Compare the elephant's momentum with the momentum of a 0.0400-kg tranquilizer dart fired at a speed of 600 m/s. (c) What is the momentum of the 90.0-kg hunter running at 7.40 m/s after missing the elephant?
(a) At what speed would a 2.00104 -kg airplane have to fly to have a momentum of 1.60109kgm/s (the same as the ship's momentum in the problem above)? (b) What is the plane's momentum when it is taking off at a speed of 60.0 m/s? (c) If the ship is an aircraft carrier that launches these airplanes with a catapult, discuss the implications of your answer to (b) as it relates to recoil effects of the catapult on the ship.
A ball of mass m is thrown straight up into the air with an initial speed v0. (a) Find an expression for the maximum height reached by the ball in terms of v0 and g. (b) Using conservation of energy and the result of part (a), find the magnitude of the momentum of the ball at one-half its maximum height in terms of m and 0.