Question

Verify that the SI unit of impulse is the same as the SI unit of momentum.

Short answer

Answer: Yes, the SI units of impulse and momentum are the same, which is kilogram meter per second (kg × m/s).

Step-by-step solution

Determine the SI unit of impulse

The impulse (I) formula is given by: I = F × Δt where F is the force Δt is the time interval The SI unit of force (F) is Newton (N) and the SI unit of time (Δt) is second (s). Therefore, the SI unit of impulse can be determined as the product of the SI units of force and time: Impulse = N × s

Determine the SI unit of momentum

The momentum (p) formula is given by: p = m × v where m is the mass v is the velocity The SI unit of mass (m) is kilogram (kg) and the SI unit of velocity (v) is meter per second (m/s). Therefore, the SI unit of momentum can be determined as the product of the SI units of mass and velocity: Momentum = kg × (m/s)

Verify that SI units of impulse and momentum are equal

Impulse = N × s Momentum = kg × (m/s) Since the SI unit for the Newton (N) is kg × (m/s²), we can use this to write the impulse as follows: Impulse = (kg × (m/s²)) × s Impulse = kg × (m/s) Now we can compare the SI units of impulse and momentum: Impulse = kg × (m/s) Momentum = kg × (m/s) As the SI units of impulse and momentum are equal, this verifies that the SI unit of impulse is the same as the SI unit of momentum.