Podcast
Questions and Answers
What is the x-component of the momentum for a 3 kg particle moving with a velocity of (3i - 4j) m/s?
What is the x-component of the momentum for a 3 kg particle moving with a velocity of (3i - 4j) m/s?
- -12 kg·m/s
- 3 kg·m/s
- -4 kg·m/s
- 9 kg·m/s (correct)
How do you calculate the magnitude of the total momentum for a particle with momentum components $P_x = 9$ and $P_y = -12$?
How do you calculate the magnitude of the total momentum for a particle with momentum components $P_x = 9$ and $P_y = -12$?
- $9 - 12$
- $\sqrt{(9)^2 + (-12)^2}$ (correct)
- $\sqrt{(9) + (-12)}$
- $9 + (-12)$
What is the magnitude of the momentum for a block of mass 2 kg moving with a velocity of (2i - j + 3k) m/s?
What is the magnitude of the momentum for a block of mass 2 kg moving with a velocity of (2i - j + 3k) m/s?
- $\sqrt{13}$ kg·m/s
- $2 \sqrt{14}$ kg·m/s (correct)
- $\sqrt{44}$ kg·m/s
- $2 \sqrt{13}$ kg·m/s
For a block of mass 2 kg moving with a velocity of (2i - j + 3k) m/s, in what direction relative to the x-axis is its momentum?
For a block of mass 2 kg moving with a velocity of (2i - j + 3k) m/s, in what direction relative to the x-axis is its momentum?
What is the magnitude of the momentum of a 1500 kg car traveling at a constant speed of 12 m/s?
What is the magnitude of the momentum of a 1500 kg car traveling at a constant speed of 12 m/s?
Study Notes
Momentum of a Particle
- A particle with mass 3 kg has a velocity of (3i - 4j) m/s, resulting in a momentum of 9i - 12j.
- The x and y components of momentum are Px = 9 and Py = -12, respectively.
- The magnitude of the total momentum is p = √(Px² + Py²) = √(9² + (-12)²) = 15 kg.m/s.
Momentum of a Block
- A block with a mass of 2 kg has a velocity of 2i - j + 3k m/s, resulting in a momentum of 2ui - 2j + 6k.
- The magnitude of the momentum is p = √(Px² + Py² + Pz²) = √(4 + 4 + 36) = 2√14 kg.m/s.
- The direction of the momentum is θ = tan⁻¹(√14/6) with respect to the x-axis.
Momentum of a Car
- A car with a mass of 1500 kg is traveling at a constant speed of 12 m/s.
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Description
Solve physics problems involving momentum, velocity, and mass. Find the x and y components of momentum and the magnitude of total momentum.
