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Chapter 1: Q57P (page 42)

What is the velocity of a 3 kg object when its momentum is 20,50,-10m/s?

Short Answer

Expert verified

Answer:

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

Step by step solution

01

Definition of momentum

Momentum is the product of the mass, m of a particle and its velocity v, p = mv . Momentum is a vector quantity that is, it has both magnitude and direction.

From the formula of momentum it is concluded that, v→=p→m.

02

Finding velocity

It is given that object has 3kg mass and momentum is60,150,-30kg.m/s .

Substitute and into m = 3 and p→=60,150,-30intov→=p→m to get the velocity vector.

v→=60,150,-303=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

Answer the following questions about the factorγ (gamma) in the full relativistic equation for momentum:

(a) Isγ a scalar or a vector quantity?

(b) What is the minimum possible value of γ?

(c) Doesγ reach its minimum value when an object’s speed is high or low?

(d) Is there a maximum possible value for γ?

(e) Doesγ become large when an object’s speed is high or low?

(f) Does the approximationγ≈1 apply when an object’s speed is low or when it is high?

In Figure 1.59, the vector r→1points to the location of object 1 and r→2points to the location of object 2 . Both vectors lie in the xyplane. (a) Calculate the position of object 2 relative to object 1 , as a relative position vector. (b) Calculate the position of object 1 relative to object 2 , as a relative position vector.

Question: Which of the following observers might observe something that appears to violate Newton's first law of motion? Explain why. (1) A person standing still on a street corner (2) A person riding on a roller coaster (3) A passenger on a starship traveling at 0.75c toward the nearby star Alpha Centauri (4) An airplane pilot doing aerobatic loops (5) A hockey player coasting across the ice.

A proton is located at (xp,yP,zP). An electron is located at (xe,ye,ze). What is the vector pointing from the electron to the proton? What is the vector pointing from the proton to the electron?

(a) Powerful sports car can go from zero to 25m/s (about 60mi/h) in 5 s. (1) What is the magnitude of average acceleration? (2) How does this compare with the acceleration of a rock falling near the Earth’s surface? (b) Suppose the position of an object at time tis 3+5t,4t2,2t-6t3 . (1) what is the instantaneous velocity at time t? (2) What is the instantaneous acceleration at time t? (3) What is the instantaneous velocity at time t=0? (4) What is the instantaneous acceleration at time t=0?
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