Final answer:
The time for which a force of 50N should be applied to change the momentum of an object by 12kg⋅m/s is 0.24 seconds. the correct answer is A.
Step-by-step explanation:
To determine the time for which a force of 50N should be applied to change the momentum of an object by 12kg⋅m/s, we can use the equation:
Force × Time = Change in Momentum
Plugging in the given values, we have:
50N × Time = 12kg⋅m/s
Solving for Time, we get:
Time = 12kg⋅m/s ÷ 50N
Time = 0.24s
Therefore, the time for which the force should be applied is 0.24 seconds (A).
To change the momentum of an object by 12 kg⋅m/s using a 50 N force, the force must be applied for 0.24 seconds according to the impulse-momentum theorem.
To calculate for how long a force should be applied to change the momentum of an object, we can use the impulse-momentum theorem, which states that the change in momentum (impulse) of an object is equal to the product of the force applied and the time for which it is applied (Force × Time = Change in Momentum).
In the given problem, the force applied is 50 N and the change in momentum required is 12 kg∙m/s. Using the formula:
Force × Time = Change in Momentum
Time = Change in Momentum / Force
Time = 12 kg∙m/s / 50 N
Time = 0.24 s
Therefore, the force should be applied for 0.24 seconds to achieve the desired change in momentum. The correct answer is A: 0.24 s.