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At what speed do a bicycle and its rider, with a combined mass of 100kg, have the same momentum as a 1500kg car traveling at 5.0m/s?

Short Answer

Expert verified

v=75m/s

Step by step solution

01

Given information  

We need to find the speed of a bicycle and its rider.

02

Simplify  

Objects with mass mand speed shave momentum p, which is the product of mass and speed. y. A large mass or large velocity has large momentum. The momentum is given by equation in the form

p=mv(1)

mcar=1500kgis mass of the car and velocity is vcar=5.0m/s.To get the momentum of the car using equation (1)and putting the values for 1500kgand5.0m/s.

localid="1649419885283" pcar=mcarvcar=(1500kg)(5.0m/s)=7500kgm/s

The bicycle and rider have a mass m=100with speed s.and its equal to the momentum of the car.

Using equation (1)to get vof the bicycle and rider

localid="1649340404793" v=pcarm(2)

After putting the values for m=100kgandpcarinto equation (2)to get v

localid="1649419873774" v=pcarm=7500kgm/s100kg=75m/s

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