Worksheet: Linear Momentum

In this worksheet, we will practice identifying the definition of linear momentum as the product of the mass and the net linear velocity of an object or a system.

Q1:

Calculate the magnitude of the average linear momentum of the Earth in its orbit. Use a value of 5 . 9 7 × 1 0 2 4 kg for the mass of the Earth and use a value of 1 . 5 0 × 1 0 1 1 m for the average orbital radius of the Earth.

  • A 1 . 9 4 × 1 0 2 9 kg⋅m/s
  • B 1 . 6 2 × 1 0 2 9 kg⋅m/s
  • C 2 . 0 5 × 1 0 2 9 kg⋅m/s
  • D 1 . 7 8 × 1 0 2 9 kg⋅m/s
  • E 2 . 1 3 × 1 0 2 9 kg⋅m/s

Q2:

A skater of mass 40 kg is carrying a box of mass 5.0 kg. The skater has a speed of 5.0 m/s with respect to the floor and is gliding without any friction on a smooth surface.

Find the momentum of the box with respect to the floor.

Find the momentum of the box with respect to the floor after she puts the box down on the frictionless skating surface.

Q3:

An avalanche moves a 40-cm-thick layer of snow over an area of 100 m by 500 m. The layer of snow moves distance of 1 . 0 × 1 0 3 m down a hill in a time of 5.5 s. If the average density of the snow is 350 kg/m3, what is the average momentum of the avalanche?

  • A 1 . 8 × 1 0 9 kg⋅m/s
  • B 1 . 5 × 1 0 9 kg⋅m/s
  • C 2 . 0 × 1 0 9 kg⋅m/s
  • D 1 . 3 × 1 0 9 kg⋅m/s
  • E 2 . 3 × 1 0 9 kg⋅m/s

Q4:

A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5.0 N and direction due north is applied to the puck for 1.5 s.

Find the northward component of the hockey puck's momentum at the end of the 1.5-s interval.

Find the eastward component of the hockey puck’s momentum at the end of the 1.5-s interval.

Q5:

A car of mass 1 7 5 0 kg is moving with a constant velocity of 16 m/s due east. What is the momentum of the car? Assume that east corresponds to positive displacement.

Q6:

A rainstorm drops rain to a depth of 1.4 cm over an area of 15 km2 in a period of 4 7 8 8 s. Take the terminal velocity of a raindrop to be 10 m/s. What is the vertically downward momentum of the rain that falls per second? Take the density of water to be 1 0 3 kg/m3.

  • A 4 . 7 × 1 0 7 kg⋅m/s
  • B 3 . 9 × 1 0 7 kg⋅m/s
  • C 4 . 9 × 1 0 7 kg⋅m/s
  • D 4 . 4 × 1 0 7 kg⋅m/s
  • E 4 . 2 × 1 0 7 kg⋅m/s

Q7:

What is the average magnitude of the momentum of a sprinter of mass 55 kg who runs the 100-meter dash in 9.83 s?

  • A 4 . 5 0 × 1 0 kg⋅m/s
  • B 2 . 2 0 × 1 0 kg⋅m/s
  • C 7 . 1 0 × 1 0 kg⋅m/s
  • D 5 . 6 0 × 1 0 kg⋅m/s
  • E 8 . 3 0 × 1 0 kg⋅m/s

Q8:

A tennis ball of mass 150 g is thrown at an angle of 4 0 above the horizontal and a speed of 18 m/s. What is the momentum of the ball after it has been in flight for 0.36 s?

Q9:

Two canoers, each of mass 65 kg, paddle in a single canoe of mass 52 kg. The canoe moves at a velocity of 1.5 m/s with respect to the water, in the same direction as the water. The water flows at a velocity of 3.2 m/s with respect to a stretch of land. What is the momentum of the canoe with respect to the stretch of land?

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