A 10 kg object changes velocity from 5 m/s to 15 m/s. What impulse was applied?

Question

A 10 kg object changes velocity from 5 m/s to 15 m/s. What impulse was applied??  
A. 10 kg⋅m/s  
B. 15 kg⋅m/s  
C. 20 kg⋅m/s  
D. 100 kg⋅m/s

Accepted Answer

Correct Answer: (D)100 kg⋅m/s. 
Rationale: The impulse applied to the object is 100 kg·m/s.Impulse is defined as the change in momentum of an object. Momentum depends on both mass and velocity, so impulse accounts for how much the velocity of an object changes as well as its mass. The relationship is given by:impulse equals change in momentum, which equals mass multiplied by change in velocitywhere m is the mass and change in velocity is the difference between final and initial velocity.A) 10 kg·m/s This value reflects only the mass of the object and ignores any change in velocity. Since impulse depends on how velocity changes, using mass alone does not give the correct result.B) 15 kg·m/s This option uses the final velocity rather than the change in velocity. Impulse depends on the difference between final and initial velocities, not just the final speed.C) 20 kg·m/s This value appears to be an arbitrary doubling of the mass or velocity change without applying the correct impulse relationship. It does not reflect the actual change in momentum.D) 100 kg·m/s The object’s velocity changes from 5 m per second to 15 m per second, giving a change in velocity of 10 m per second. Multiplying this by the mass gives:change in momentum equals 10 kilograms multiplied by 10 meters per second change in momentum equals 100 kilogram meters per secondThis correctly represents the impulse applied to the object.Conclusion Impulse equals the change in momentum, which is mass multiplied by the change in velocity. For a 10 kg object whose velocity increases by 10 m per second, the impulse applied is 100 kg·m/s.

A 10 kg object changes velocity from 5 m/s to 15 m/s. What impulse was applied?

A
10 kg⋅m/s

B
15 kg⋅m/s

C
20 kg⋅m/s

D
100 kg⋅m/s

The impulse applied to the object is 100 kg·m/s.

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A 10 kg object changes velocity from 5 m/s to 15 m/s. What impulse was applied?

A 10 kg⋅m/s B 15 kg⋅m/s C 20 kg⋅m/s D 100 kg⋅m/s

The impulse applied to the object is 100 kg·m/s.

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Related Questions

A
10 kg⋅m/s

B
15 kg⋅m/s

C
20 kg⋅m/s

D
100 kg⋅m/s