An object with a mass of 1.5 kg changes its velocity from +15 m/s to +22 m/s during a time interval of 3.5 seconds. What impulse was delivered to the object? 3.0 N • s 11 N • s 25 N • s 56 N • s
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Answer: The impulse delivered to the object is 33 N • s.
Explanation: Impulse = Change in momentum
The momentum of an object is calculated by multiplying its mass by its velocity:
Momentum = Mass x Velocity
Given:
Mass of the object = 1.5 kg
Initial velocity = +15 m/s
Final velocity = +22 m/s
Time interval = 3.5 seconds
First, we need to calculate the change in momentum:
Change in momentum = Final momentum - Initial momentum
To find the initial momentum, we multiply the mass by the initial velocity:
Initial momentum = Mass x Initial velocity
Initial momentum = 1.5 kg x 15 m/s
To find the final momentum, we multiply the mass by the final velocity:
Final momentum = Mass x Final velocity
Final momentum = 1.5 kg x 22 m/s
Now, we can calculate the change in momentum:
Change in momentum = Final momentum - Initial momentum
Change in momentum = (1.5 kg x 22 m/s) - (1.5 kg x 15 m/s)
Simplifying the equation:
Change in momentum = 33 kg m/s
Finally, we have found the change in momentum, which is equal to the impulse delivered to the object. Therefore, the impulse delivered to the object is 33 N • s.
Answer:
11 Ns
Explanation:
Impulse = change in momentum
J = Δp
J = mΔv
J = (1.5 kg) (22 m/s − 15 m/s)
J = 10.5 kg m/s
Rounded to two significant figures, the impulse is 11 Ns.
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