You are an insurance investigator at the scene of a car accident. From witness descriptions, it is clear that Car A (of mass M_A) started skidding and slid a distance L (which you measure from the tire marks at the scene) and collided with car B (of mass M_B) which was at rest at a stoplight. The two cars after they collided both slid a distance L_slide which you also measure from the scene of the accident. Given the coefficient of kinetic friction between tires and the road, mu_k (as well as M_A, M_B, g, L_slide and L) can you calculate how fast car A was travelling when it started to slide - which would be relevant for determining if car A was speeding before the collision.

You are an insurance investigator at the scene of a car accident. From witness descriptions, it is clear that Car A (of mass M_A) started skidding and slid a distance L (which you measure from the tire marks at the scene) and collided with car B (of mass M_B) which was at rest at a stoplight. The two cars after they collided both slid a distance L_slide which you also measure from the scene of the accident. Given the coefficient of kinetic friction between tires and the road, mu_k (as well as M_A, M_B, g, L_slide and L) can you calculate how fast car A was travelling when it started to slide - which would be relevant for determining if car A was speeding before the collision.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 70P: Find the center of mass of a rectangular block of length a and width b that has a nonuniform density...

See similar textbooks

Similar questions

Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and mass M. Let the origin be at the center of the base of the cone and have +z going through the cone vertex.
Where is the center of mass of a slice of pizza that was cut into eight equal slices? Assume the origin is at the apex of the slice and measure angles with respect to an edge of the slice. The radius of the pizza is R.
Find the center of mass of a rectangular material of length a and width b made up of a material of nonuniform density. The density is such that when the rectangle is placed in the xy-plane, the density is given by (x,y)=0xy .
In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m2 = 3m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction is μk and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? Express your answer in terms of the variables given and g.
Find the center of mass of a rod of length L whose mass density changes from one end to the other quadratically. That is, if the rod is laid out along the x-axis with one end at the origin and the other end at x = L , the density is given by ρ(x) = ρ0 + (ρ1 − ρ0) (x/L)2 , where ρ0 and ρ1 are constant values.
A particle of mass 2.4 kg is subject to a force that is always pointed towards the North but whose magnitude changes quadratically with time. Let the y-axis point towards the North. The magnitude of the force is given as F = 6t2, and has units of newtons Determine the change in velocity Δv, in meters per second, of the particle between t=0 and t=1.3s. Determine the change in y coordinate, in meters, of the particle Δ y betweent=o and t=1.3 if the initial velocity= 15.9 m/s and directed North, in the same direction as the force.
Find the center of mass of a rectangular block of length a and width b that has a nonuniform density such that when the rectangle is placed in the x,y-plane with one corner at the origin and the block placed in the first quadrant with the two edges along the x- and y-axes, the density is given by ρ(x, y) = ρ0 x , where ρ0 is a constant.
On a frictionless plane, a body with mass m1 hits with velocity v a second body at rest (mass m2) and connects to it. Subsequently, the composite body hits via a spring (spring constant k) a third body at rest (mass m3). a) Determine the speed v of the mass m1 such that m3 remains at rest, if the plane solely at the location of m3 is rough (coefficient of static friction μ0). b) Determine the speed of m3 after collision if the plane at the location of m3 is also frictionless.
Drops of rain fall perpendicular to the roof of a parked car during a rainstorm. The drops strike the roof with a speed of 15 m/s, and the mass of rain per second striking the roof is 0.039 kg/s. (a) Assuming the drops come to rest after striking the roof, find the average force exerted by the rain on the roof. magnitude N direction (b) If hailstones having the same mass as the raindrops fall on the roof at the same rate and with the same speed, how would the average force on the roof compare to that found in part (a)? (Assume the hailstones bounce back up off the roof.) The magnitude would be double that in part (a).The magnitude would be half that in part (a). The magnitude would be the same as in part (a).The magnitude would be one fourth times in part (a).
One block of mass m_1=2.0 kg is sliding down along a frictionless ramp from a height of h=2.5 m. It then collides with another block of mass m_2=1 kg and after the collision the stick together. Then, both of the blocks slide together into a region where the coefficient of kinetic friction is 0.500 and comes to a stop after distance d m within that region. a) Find the velocity of the block of mass m1 at the bottom of the ramp. b) Find the velocity of the two-block at which they slide into the region with kinetic friction coefficient 0.500. c) Find the value of distance d at which they stop.
Which of the following is NOT a condition for momentum to be conserved? A. The system must be closed or isolated. B. The net external force on the system must be zero. C. The mass of the system must remain constant during the interaction. D. The total kinetic energy of the system must remain constant.
A tar road is heated by the sun and therefore the coefficient of friction changes as µ(kinetic)=b*t^5. An object of mass m is at t=0 with velocity V(0) and in the +x direction.Find how far (b, m, g, V(0)) the object will travel from t=0 to stop?Hint given in the figure