11th grade Calculate kinetic and potential energy worksheet

Calculate kinetic and potential energy

Grade 11 Science Worksheet - Building Confidence

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

1. 1.

   Ari watches a 2 kg toy cart speed up from 3 m/s to 5 m/s. How much kinetic energy does it gain?
2. 2.

   Esme watches a 4 kg toy cart speed up from 1.5 m/s to 3.5 m/s. How much kinetic energy does it gain?
4. 3.

   Jun reads the energy bar chart. How high above the floor is the ball? Use g = 9.8 m/s².

   • 0.8 m: 4 J ÷ (0.5 kg × 9.8 m/s²), from the kinetic bar
   • 2 m: 9.8 J ÷ (0.5 kg × 9.8 m/s²)
   • 1 m: 9.8 J ÷ 9.8 m/s², leaving out the mass
   • 19.6 m: 9.8 J ÷ 0.5 kg, leaving out g
5. 4.

   Kira reads the energy bar chart. How fast is the ball moving?

   Use the picture in question 3.

   • 16 m/s: the value of v², not rooted
   • 4 m/s: v² = 2 × 4 J ÷ 0.5 kg = 16
   • 8 m/s: the kinetic energy divided by the mass
   • 2.8 m/s: the root of 4 J ÷ 0.5 kg, leaving out the 2
6. 5.

   Luz lifts the ball 1 m higher without changing its speed. Which bar changes, and by how much?

   Use the picture in question 3.

   • Both gravitational and kinetic, each up by 4.9 J
   • Gravitational, up by 9.8 J: 1 m times g, leaving out the mass
   • Gravitational, up by 0.5 J: the mass times 1 m, leaving out g
   • Gravitational, up by 4.9 J; kinetic stays at 4 J
7. 6.

   A drone holds a 2 kg box 12 m above the floor, then lifts it to 15 m. By how much does the box's gravitational energy grow? Use g = 9.8 m/s². Milo checks.

   • 6 J: 2 × 3, leaving out g
   • 294 J: 2 × 9.8 × 15, using the final height
   • 58.8 J: 2 × 9.8 × 3
   • 235.2 J: 2 × 9.8 × 12, using the starting height
8. 7.

   Noah takes a table top, 0.7 m up, as zero height. A 3 kg box sits on a shelf 2.2 m above the floor. What is its gravitational energy? Use g = 9.8 m/s².

   • 44.1 J: 3 × 9.8 × 1.5
   • 64.7 J: 3 × 9.8 × 2.2, measured from the floor
   • 20.6 J: 3 × 9.8 × 0.7, the height of the table
   • 4.5 J: 3 × 1.5, leaving out g
9. 8.

   A spring launcher has a spring constant of 300 N/m and is squeezed 0.20 m. How much energy does the spring store, Pia?

   • 12 J: 300 × 0.20², leaving out the ½
   • 30 J: ½ × 300 × 0.20, not squaring the squeeze
   • 60 J: 300 × 0.20
   • 6 J: ½ × 300 × 0.20²
10. 9.

    A cart's mass triples while its speed is cut to half. What happens to its kinetic energy, Ren?

    • It falls to one sixth of its old value
    • It falls to three quarters of its old value
    • It stays the same, because tripling and halving cancel
    • It rises to 1.5 times its old value
11. 10.

    A spring is swapped for one twice as stiff, and the squeeze is cut to half. What happens to the stored energy, Zee?

    • It falls to one quarter, from the smaller squeeze alone
    • It rises to twice as much, from the stiffer spring alone
    • It falls to half
    • It stays the same, because doubling and halving cancel