A Space Barge Pushes on a Spaceship with a Rest $15,000 \mathrm {~kg}$

Multiple Choice

A space barge pushes on a spaceship with a rest mass of $15,000 \mathrm {~kg}$ and accelerates it from a speed of $0.600 c$ to a speed of $0.700 \mathrm { c }$ . How much work does the barge have to do to accomplish this? $( c =$ $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

A) $1.35 \times 10 ^ { 20 } \mathrm {~J}$
B) $8.78 \times 10 ^ { 19 } \mathrm {~J}$
C) $5.42 \times 10 ^ { 20 } \mathrm {~J}$
D) $2.70 \times 10 ^ { 20 } \mathrm {~J}$
E) $2.03 \times 10^{20} \mathrm {~J}$