11th grade Calculate kinetic and potential energy worksheet

Calculate kinetic and potential energy

Grade 11 Science Worksheet - Challenge Me

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

1. 1.

   Ari's spring launcher (980 N/m) is squeezed 0.1 m and fires a 0.5 kg ball straight up. Ignoring air, how high above the launch point does it rise? Use g = 9.8 m/s².
2. 2.

   Bo's spring launcher (490 N/m) is squeezed 0.2 m and fires a 0.5 kg ball straight up. Ignoring air, how high above the launch point does it rise? Use g = 9.8 m/s².
3. 3.

   Esme's spring launcher (1176 N/m) is squeezed 0.1 m and fires a 0.4 kg ball straight up. Ignoring air, how high above the launch point does it rise? Use g = 9.8 m/s².

4. Read this first

   A cart at three marks on a track (example data)

   mark	height above floor (m)	speed (m/s)
   1	1.2	2
   2	0.6	3.5
   3	0	4

5. 4.

   Jun reads the table of a 2 kg cart, using g = 9.8 m/s². Between which marks is more mechanical energy removed, and how much?

   • Marks 1 to 2, 8.25 J, where the kinetic energy rises most
   • Marks 2 to 3, 8.0 J, against 3.5 J from marks 1 to 2
   • Neither: both stretches drop 0.6 m, so both lose the same
   • Marks 2 to 3, 16 J, the kinetic energy at the bottom
6. 5.

   A drone lifts a 1.5 kg load 20 m in 25 s on 18 W of battery power. What is its efficiency, and how much energy is wasted, Kira?

   • 65% efficient; it wastes 294 J, the energy the load gained
   • 35% efficient; it wastes 156 J
   • 65% efficient; it wastes 6.24 J, the loss in one second
   • 65% efficient; it wastes 156 J

7. A spring's stored energy (example data)

   stretch (cm)	stored energy (J)
   2	0.4
   4	1.6
   6	3.6

8. 6.

   Milo says a spring stretched twice as far stores twice the energy. Does the table support the claim?

   • No: the stretch doubles but the energy becomes 8 times as large
   • Yes: stretch and energy rise together, so they are proportional
   • No: 2 cm to 4 cm takes the energy from 0.4 J to 1.6 J, 4 times
   • Yes: 4 cm is twice 2 cm, and 1.6 J is about twice 0.4 J

9. Two balls (example data)

   ball	mass (kg)	speed (m/s)
   ball P	1	2
   ball Q	0.2	8

10. 7.

    Noah says the heavier ball always has more kinetic energy. Which reply fits the table?

    • No: ball Q has 6.4 J against ball P's 2 J, because speed is squared
    • No: ball Q has 12.8 J against 4 J, because energy is mass times speed squared
    • No: the two balls have equal energy, 2 J each
    • Yes: ball P has 2 J against 1.6 J for ball Q
11. 8.

    A pendulum bob released 0.25 m above its lowest point loses 8% of its mechanical energy on each swing across. How high does it rise after 3 swings, Ren?

    • 0.152 m: 0.25 × 0.92⁶, with each swing counted twice
    • 0.19 m: 0.25 − 3 × 0.02, with 8% of the start lost each swing
    • 0.23 m: 0.25 × 0.92, one swing's loss
    • 0.195 m: 0.25 × 0.92 × 0.92 × 0.92
12. 9.

    A 1.0 kg mass on a string over a pulley pulls a 3.0 kg cart across a smooth table. After falling 0.80 m from rest, how fast is the cart, Tala?

    • 3.96 m/s: ½ × 1.0 × v² = 7.84
    • 1.40 m/s: 1.0 × v² = 7.84 ÷ 4.0
    • 1.98 m/s: v² = 2 × 7.84 ÷ 4.0
    • 2.29 m/s: ½ × 3.0 × v² = 7.84
13. 10.

    Zee drops a 1.0 kg ball 2.0 m and measures 5.9 m/s at the bottom, then says energy was conserved since 6.3 m/s is close. What does the data show?

    • About 89% of the energy is missing: 17.4 J of 19.6 J
    • About 6% of the energy is missing, matching the 6% shortfall in speed
    • About 11% of the energy is missing: 17.4 J of kinetic against 19.6 J
    • No energy is missing: 5.9 m/s is close enough to 6.3 m/s