Answer: 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy.
Step-by-step explanation:
Kinetic energy is the energy possessed by a body by virtue of its motion.
![K.E=(1)/(2)mv^2](https://img.qammunity.org/2021/formulas/physics/middle-school/d7aenqpdvp6xkhqts2u2qw68o7h4sdfog9.png)
m = mass of object
v= velocity of the object
![K.E=(1)/(2)* 6kg* (3m/s)^2=27Joules](https://img.qammunity.org/2021/formulas/physics/college/9hujo22ec5wd85ybvpkkqkuedtxf8s6byy.png)
b) for a 7 kg bowl to have kinetic energy of 27 Joules:
![27J=(1)/(2)* 7kg* v^2](https://img.qammunity.org/2021/formulas/physics/college/c7gr8ihai85gq9mg39mo6fbxuf606ctfl8.png)
![v^2=7.7](https://img.qammunity.org/2021/formulas/physics/college/pk62aybri4zo5t5ktqhkh7tqk3d6uvpwh5.png)
![v=2.8m/s](https://img.qammunity.org/2021/formulas/physics/college/spnid9ncjuyxn2s1ix6ufd1s57v1wb8r4m.png)
Thus 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy