You throw a small bouncy ball of mass mjat a hill of mass m, that is sloped at an angle 0relative to horizontal as indicated in the picture. The ball impacts the hill with an initialvelocity vo that is horizontal. During the collision, which lasts from t = 0 until t = t1, themagnitude of the force from the hill on the ball is given by|Fna(t)| = F1sint1with F1 a constant. The direction of the force is perpendicular to the hill, as indicated inthe picture.The direction of the force from the hill on theball is perpendicular to the hill.Chosen coordinate System Find the velocity of the ball just after the collision has occurred.Find the impulse, Í úh that the ball exerts on the hill during the time period from 0 to t1.Assuming this is the only impulse the hill feels, and the hill begins from rest, find the final

Impulse = ∫0t1F.dt Direction of impulse will be perpendicular to hill i.e (-sinθ i + cosθ j ).

Answered: You throw a small bouncy ball of mass…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A railroad handcar is moving along straight, frictionlesstracks with negligible air resistance. In the following cases, the car initiallyhas a total mass (car and contents) of 200 kg and is traveling eastwith a velocity of magnitude 5.00 m/s. Find the final velocity of the carin each case, assuming that the handcar does not leave the tracks. (a) A25.0 kg mass is thrown sideways out of the car with a velocity of magnitude2.00 m/s relative to the car’s initial velocity. (b) A 25.0 kg massis thrown backward out of the car with a velocity of 5.00 m/s relativeto the initial motion of the car. (c) A 25.0 kg mass is thrown into the carwith a velocity of 6.00 m/s relative to the ground and opposite in directionto the initial velocity of the car.
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Suppose a child drives a bumper car head on into the side rail, which exerts a force of 2000 N on the car for 0.600 s. (Assume the initial velocity is in the positive direction.) (a) What impulse (in kg - m/s) is imparted by this force? (Indicate the direction with the sign of your answer.) |kg - m/s (b) Find the final velocity (in m/s) of the bumper car if its initial velocity was 2.90 m/s and the car plus driver have a mass of 200 kg. You may neglect friction between the car and floor. (Indicate the direction with the sign of your answer.) m/s
A car of mass m moves with a speed of Vo. The driver suddenly sees another car, of mass 3m, sitting at rest. The driver slams on the brakes. The coefficent of kinetic friction between the car and the road is μk. a) How far away must the second car be if the first car is to stop exactly in time to avoid hitting it? b) Suppose the car is a distance of d/2 away where d is the distance you found in part (a). Find the momentum of the car as it collides with the car at rest. c) Use conservation of momentum to calculate the speeds of both cars after the collision.
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Two smooth disks A and B, having a mass of 6 kg and 9 kg rolling with velocities ua = 2 m/s and ug = 5 m/s respectively, collide as shown in Figure. If the coefficient of restitution for the disks is 0.35. Determine the x and y components of the final velocity of each disk just after collision (consider e =40° and ф%3D 50%). y UB MA UA
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d and e
The vector position of a 3.45 g particle moving in the xy plane varies in time according to i, - (3i + 35)t + 2jr? where t is in seconds and is in centimeters. At the same time, the vector position of a 5.20 g particle varies as i,- 31 - zir? - 6jt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.90 s. x cm cm (b) Determine the linear momentum (in g cm/s) of the system at t = 2.90 s. 9. cm/s (e) Determine the velocity (in cm/s) of the center of mass at t = 2.90 s. cm/s (4) Determine the acceleration (in cm/s) of the center of mass at t = 2.90 s. cm/s? (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s. UN net

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