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Chapter 7: Problem 3

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

Short Answer

Expert verified
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

01

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
02

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)
03

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.

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Most popular questions from this chapter

A rifle has a mass of \(4.5 \mathrm{kg}\) and it fires a bullet of mass $10.0 \mathrm{g}\( at a muzzle speed of \)820 \mathrm{m} / \mathrm{s} .$ What is the recoil speed of the rifle as the bullet leaves the gun barrel?
A tennis ball of mass \(0.060 \mathrm{kg}\) is served. It strikes the ground with a velocity of \(54 \mathrm{m} / \mathrm{s}(120 \mathrm{mi} / \mathrm{h})\) at an angle of \(22^{\circ}\) below the horizontal. Just after the bounce it is moving at \(53 \mathrm{m} / \mathrm{s}\) at an angle of \(18^{\circ}\) above the horizontal. If the interaction with the ground lasts \(0.065 \mathrm{s}\), what average force did the ground exert on the ball?
A 0.15-kg baseball traveling in a horizontal direction with a speed of $20 \mathrm{m} / \mathrm{s}$ hits a bat and is popped straight up with a speed of \(15 \mathrm{m} / \mathrm{s} .\) (a) What is the change in momentum (magnitude and direction) of the baseball? (b) If the bat was in contact with the ball for 50 ms, what was the average force of the bat on the ball?
A 2.0-kg object is at rest on a perfectly frictionless surface when it is hit by a 3.0-kg object moving at \(8.0 \mathrm{m} / \mathrm{s}\) If the two objects are stuck together after the collision, what is the speed of the combination?
If a particle of mass \(5.0 \mathrm{kg}\) is moving east at $10 \mathrm{m} / \mathrm{s}\( and a particle of mass \)15 \mathrm{kg}\( is moving west at \)10 \mathrm{m} / \mathrm{s},$ what is the velocity of the CM of the pair?
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