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Chapter 11: Q. 20 (page 287)

A 1500kgcar is rolling at 2.0m/s. You would like to stop the car by firing a 10kgblob of sticky clay at it. How fast should you fire the clay?

Short Answer

Expert verified

The speed of the clay should be300m/s.

Step by step solution

01

Step 1; Given information

We have given,

Massofcar=1500kgMassofclay=10kgspeedofcar=2m/s

We have to find the speed of clay to stop the car.

02

Simplify

According to conservation of momentum .

PI=PF

since the velocity of the car and clay is zero in the final then its momentum will be also zero.

Then we can write,

Momentumofcar=MomentumofclayMCAR×VCAR=MCLAY×VCLAY1500kg×2m/s=10kg×VV=300m/s

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