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Chapter 1: Q57P (page 42)

What is the velocity of aobject when its momentum is60,150,-30kg.m/s?

Short Answer

Expert verified

The velocity of the given object is20,50,-10m/s.

Step by step solution

01

Identification of the given information

  • The mass of the object is, m=3kg.
  • The momentum of the objectis,p⇀=60,150,-30kg.m/s.
02

Definition of momentum

Momentum is the product of the mass (m) of a particle and its velocity(v).

The momentum can be expressed as,

p=mv.

Momentum is a type of vector quantity;it has both magnitude and direction.

The formula of momentumis given asfollows:

v⇀=p⇀m

03

Step 3:Calculation of the velocity of an object

Substitute 3kg for mand 60,150,-30kg.m/sfor p⇀into equation (i) to get the velocity vector.

v⇀=60,150,-30kg.m/s3kg=20,50,-10m/s

Therefore, the velocity of the given object is 20,50,-10m/s..

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Most popular questions from this chapter

The crew of a stationary spacecraft observe an asteroid whose mass is4×1017kg. Taking the location of the spacecraft as the origin, the asteroid is observed to be at location<-3×103,-4×103,8×103>m at a time 18.4s after lunchtime. At a time 21.4s after lunchtime, the asteroid is observed to be at location<-1.4×103,-6.2×103,9.7×103>m. Assuming that the velocity of the asteroid does not change during this time interval, calculate the vector velocityrole="math" localid="1656672441674" v→of the asteroid.

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