A force of 30 N is applied for 50 s on two objects with different masses. Which one has the greater momentum change or impulse?

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UpStudy AI · Accepted Answer

**Step 1: Recall the definition of impulse**  
Impulse ($$J$$) is defined as the product of the applied force ($$F$$) and the time ($$\Delta t$$) over which the force acts. Mathematically,  
$$
J = F \Delta t
$$

**Step 2: Substitute the known values**  
Given that the force is $$30 \, \text{N}$$ and the time is $$50 \, \text{s}$$, we have:  
$$
J = 30\, \text{N} \times 50\, \text{s}
$$

**Step 3: Calculate the impulse**  
$$
J = 1500\, \text{Ns}
$$

**Step 4: Compare the impulse for the two objects**  
The impulse imparted on an object depends solely on the force and the duration, not on the mass of the object. Therefore, when a force of $$30 \, \text{N}$$ is applied for $$50 \, \text{s}$$, each object, regardless of its mass, receives the same impulse of $$1500 \, \text{Ns}$$.

**Conclusion**  
Both objects experience the same momentum change (impulse) of $$1500\, \text{Ns}$$.
Both objects receive the same impulse of 1500 Ns, so they have the same momentum change.

A force of 30 N is applied for 50 s on two objects with different masses. Which one has the greater momentum change or impulse?

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