# If a rocket with a mass of #2500# tons vertically accelerates at a rate of # 2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 3 seconds?

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Power = 5 × 10^7 Watts

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- An object with a mass of #18 kg# is hanging from an axle with a radius of #16 cm#. If the wheel attached to the axle has a radius of #22 cm#, how much force must be applied to the wheel to keep the object from falling?
- The force applied against an object moving horizontally on a linear path is described by #F(x)= x+2 N #. By how much does the object's kinetic energy change as the object moves from # x in [ 1 , 3 ]#?
- A spring with a constant of #2/3 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #1/5 kg# and speed of #1/4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- An object with a mass of #8 kg# is hanging from an axle with a radius of #25 cm#. If the wheel attached to the axle has a radius of #35 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
- Using values from this table, how many DNA molecules could be broken by the energy accumulated from the fusion of all the hydrogen in the oceans on Earth?

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