Balanced forces, equilibrium and inertia

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. A sign of mass 10 kg hangs from two cables, each 30° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Ari?

  2. A sign of mass 6 kg hangs from two cables, each 37° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Bo?

  3. A sign of mass 8 kg hangs from two cables, each 20° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Esme?

  4. A 10 kg sign hangs from two cables at 30° above the horizontal, each pulling 98 N. The cables are tightened to 10° above it. What happens to each tension, Jun?

    • It falls to about 49 N, since nearly flat cables hold less weight
    • It stays 98 N, since the sign's weight has not changed
    • It rises to about 100 N, since the angle changed by just 20°
    • It rises to about 282 N, nearly three times the sign's weight
  5. A block stays at rest as a ramp is tilted from 20° to 40°. What happens to the normal force and to friction on it, Kira?

    • The normal force stays equal to the weight, while friction increases
    • The normal force decreases while friction increases
    • Both increase, since the ramp is steeper than before
    • The normal force increases while friction decreases
  6. A 70 kg skydiver falls at a steady 55 m/s. How big is the air's force on the diver, and which way, Milo?

    • 686 N downward, in the same direction as the motion
    • 0 N, since the diver is not accelerating at the moment
    • 3,850 N upward, from 70 × 55, to match the speed
    • 686 N upward, equal to the weight
  7. A crate slides at a steady speed under an 80 N push. The push doubles to 160 N. What happens, Noah?

    • It speeds up, since the net force is now about 80 N
    • It slides at twice the speed, since speed follows the push
    • It slows down, since a bigger push builds up more friction
    • It stays at a steady speed, since friction rises to 160 N too
  8. A 60 kg student stands on a scale in an elevator moving up at a steady 2 m/s. What does the scale read, Pia?

    • 468 N, which takes 60 × 2 away from the weight
    • 0 N, since the elevator is not accelerating
    • 708 N, which adds 60 × 2 for the upward motion
    • 588 N, the same as at rest
  9. A bus brakes hard and a ball on its floor rolls toward the front. A rider says a forward force pushed it. What best explains the roll, Ren?

    • The bus slowed but the ball kept moving; no forward force acted
    • A forward force equal to the ball's inertia pushed it to the front
    • Friction from the moving floor pushed the ball toward the front
    • The ball's own inertia pushed it toward the front of the bus
  10. A car cruises at 25 m/s as 400 N of engine force balances draw a line. The driver lifts off the gas. What happens next, Zee?

    • It keeps 25 m/s, since its inertia carries it forward unchanged
    • It stops at once, since the engine force is gone
    • It slows, since 400 N of drag is no longer balanced
    • It speeds up, since the drag now pushes the car along
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Balanced forces, equilibrium and inertia

Answer Key - Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.

  1. A sign of mass 10 kg hangs from two cables, each 30° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Ari?

    98 N
  2. A sign of mass 6 kg hangs from two cables, each 37° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Bo?

    48.9 N
  3. A sign of mass 8 kg hangs from two cables, each 20° above the horizontal. To the nearest tenth of a newton, what is the tension in each cable, Esme?

    114.6 N
  4. A 10 kg sign hangs from two cables at 30° above the horizontal, each pulling 98 N. The cables are tightened to 10° above it. What happens to each tension, Jun?

    • It falls to about 49 N, since nearly flat cables hold less weight
    • It stays 98 N, since the sign's weight has not changed
    • It rises to about 100 N, since the angle changed by just 20°
    • It rises to about 282 N, nearly three times the sign's weight
  5. A block stays at rest as a ramp is tilted from 20° to 40°. What happens to the normal force and to friction on it, Kira?

    • The normal force stays equal to the weight, while friction increases
    • The normal force decreases while friction increases
    • Both increase, since the ramp is steeper than before
    • The normal force increases while friction decreases
  6. A 70 kg skydiver falls at a steady 55 m/s. How big is the air's force on the diver, and which way, Milo?

    • 686 N downward, in the same direction as the motion
    • 0 N, since the diver is not accelerating at the moment
    • 3,850 N upward, from 70 × 55, to match the speed
    • 686 N upward, equal to the weight
  7. A crate slides at a steady speed under an 80 N push. The push doubles to 160 N. What happens, Noah?

    • It speeds up, since the net force is now about 80 N
    • It slides at twice the speed, since speed follows the push
    • It slows down, since a bigger push builds up more friction
    • It stays at a steady speed, since friction rises to 160 N too
  8. A 60 kg student stands on a scale in an elevator moving up at a steady 2 m/s. What does the scale read, Pia?

    • 468 N, which takes 60 × 2 away from the weight
    • 0 N, since the elevator is not accelerating
    • 708 N, which adds 60 × 2 for the upward motion
    • 588 N, the same as at rest
  9. A bus brakes hard and a ball on its floor rolls toward the front. A rider says a forward force pushed it. What best explains the roll, Ren?

    • The bus slowed but the ball kept moving; no forward force acted
    • A forward force equal to the ball's inertia pushed it to the front
    • Friction from the moving floor pushed the ball toward the front
    • The ball's own inertia pushed it toward the front of the bus
  10. A car cruises at 25 m/s as 400 N of engine force balances draw a line. The driver lifts off the gas. What happens next, Zee?

    • It keeps 25 m/s, since its inertia carries it forward unchanged
    • It stops at once, since the engine force is gone
    • It slows, since 400 N of drag is no longer balanced
    • It speeds up, since the drag now pushes the car along