11th grade Calculate kinetic and potential energy worksheet

Calculate kinetic and potential energy

Grade 11 Science Worksheet

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

1. 1.

   Ari launches a 0.2 kg ball straight up at 7 m/s. Ignoring air, how high above the launch point does it rise? Use g = 9.8 m/s².
2. 2.

   Esme launches a 3 kg ball straight up at 4.2 m/s. Ignoring air, how high above the launch point does it rise? Use g = 9.8 m/s².
3. 3.

   A 2 kg cart rolls 4.0 m down a ramp that drops 1.5 m and reaches the bottom at 3.0 m/s. Using g = 9.8 m/s², what is the average friction force, Jun?

   • 2.25 N: 9 J ÷ 4.0 m, from the motion alone
   • 7.35 N: 29.4 J ÷ 4.0 m, from the drop alone
   • 13.6 N: (29.4 J − 9 J) ÷ 1.5 m, over the drop
   • 5.1 N: (29.4 J − 9 J) ÷ 4.0 m
4. 4.

   A motor lifts a 5 kg box 3.0 m in 4.0 s while taking 200 J of electrical energy. Using g = 9.8 m/s², what are the useful power and efficiency, Luz?

   • 36.75 W useful, 26.5% efficient
   • 50 W useful, 73.5% efficient
   • 147 W useful, 73.5% efficient
   • 36.75 W useful, 73.5% efficient
5. 5.

   A 5 kg box rises from a shelf 1.5 m up to a hook 2.1 m up. Milo measures height from the floor; a friend uses a table top 0.9 m up. Results?

   • Neither can find a gain, because their totals disagree
   • Their gains differ by 44.1 J, the table's share of height
   • The floor reading gives a gain of 102.9 J and the table reading 29.4 J
   • Both find a gain of 29.4 J, though their totals differ
6. 6.

   A 0.5 kg ball floats 3 m above the ground over a pit 2 m deep. Using g = 9.8 m/s², what is its gravitational energy measured from the pit floor, Noah?

   • 9.8 J: 0.5 × 9.8 × 2, the depth of the pit
   • 24.5 J: 0.5 × 9.8 × 5
   • 4.9 J: 0.5 × 9.8 × 1, from 3 − 2
   • 14.7 J: measured from the ground
7. 7.

   Pia drops a ball and wants its speed at landing. Why can any zero level be used for the height?

   • Every zero level gives the ball the same gravitational energy at the start
   • The zero level must be the floor, so any other choice gives the same answer
   • Only the drop in height counts, and a drop is the same from any zero
   • The ball's kinetic energy is measured from the zero level too, so the two cancel
8. 8.

   A 4 kg cart rolls on a level track at 6.0 m/s and slows to 4.0 m/s over 5.0 m. With steady friction, how much farther does Ren's cart roll before it stops?

   • 5.0 m: the same distance as the first stretch
   • 4.0 m: 40 J ÷ 5.0 m = 8 N, then 32 J ÷ 8 N
   • 8.0 m: 32 J ÷ 4 N, taking friction as 4 N
   • 9.0 m: 72 J ÷ 8 N, the whole stop from 6 m/s
9. 9.

   A 0.50 kg pendulum bob is released 0.20 m above its lowest point and rises to 0.18 m on the far side. With g = 9.8 m/s², how much energy did the air remove, Tala?

   • 0.098 J, which is 10% of the starting energy
   • 0.098 J, which is 90% of the starting energy
   • 0.02 J, which is 10% of the starting energy
   • 0.88 J, which is 90% of the starting energy
10. 10.

    A 0.80 kg block slides 1.5 m down a smooth ramp that drops 0.90 m, then squeezes a 980 N/m spring on a smooth floor. How far is the spring squeezed, Zee?

    • 0.155 m: ½ × 980 × x² = 0.80 × 9.8 × 1.5
    • 0.12 m: ½ × 980 × x² = 0.80 × 9.8 × 0.90
    • 0.007 m: 980 × x = 0.80 × 9.8 × 0.90
    • 0.085 m: 980 × x² = 0.80 × 9.8 × 0.90