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Assuming constant acceleration, at a higher speed, the force must be applied over a larger distance to get the same change in speed. Since work = force x distance, it requires more work to get the same change in speed, once the rocket has a higher speed.
In the case of the rocket, the situation is not as simple as you put it. For example, all the fuel the rocket required to change the rocket's speed, say, from 1000 m/s to 1100 m/s, must be accelerated first, using more fuel at first. Also, the exhaust gases from the rocket have kinetic energy, which depend on the rocket's current speed - when it is just starting, the exhaust gases have a higher speed, and therefore more kinetic energy. To see whether energy is conserved or not, this kinetic energy would have to be included in your calculations.
What else can I help you with?
How can you increase density if mass is constant?
You can increase the density of an object with constant mass by decreasing the object's volume.
When does raising the temperature of a gas increase its preasure?
This is the Gay-Lussac law: at constant volume of a gas the temperature increase when the pressure increase.
What is Arrhenius model?
The Arrhenius model is used to describe the rate of a chemical reaction as a function of temperature. It states that the rate constant of a reaction increases exponentially with an increase in temperature, according to the equation k = A * e^(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
How can the pressure of a gas increase?
Primarily in two ways. If the volume is decreased, the pressure will increase. Also, if the temperature increases at a constant volume, then the pressure will increase.
What happens to the volume of a gas when the number of moles is doubled (all else held constant)?
At a constant volume the pressure increase.
As a person consumes more of something marginal utility?
When someone consumes more of something per period, the smaller the increase in total utility from consuming one more unit, if other things are constant. This is the law of diminishing marginal utility.
How can you increase density if mass is constant?
You can increase the density of an object with constant mass by decreasing the object's volume.
When does raising the temperature of a gas increase its preasure?
This is the Gay-Lussac law: at constant volume of a gas the temperature increase when the pressure increase.
How does the volume and pressure change in a tire after a long drive?
The volume is constant. The pressure will increase.The volume is constant. The pressure will increase.
What happens to the rate constant as activation energy increase?
The rate constant decreases.
How do you increase filtration rate under constant pressure?
increase the area of filtration
In an arithmetic sequence the constant rate of increase or decreas between successive terms is called the?
An arithmetic sequence does not have a constant rate of increase or decrease between successive terms, so it cannot be called anything!The constant increase or decrease is called the common difference.
What window placement tends to increase the likelihood of others ignoring or disregarding your opinions?
Windows behind you when you sit.
Does the increase in heat result in an increase in pressure?
Yes, generally an increase in heat will result in an increase in pressure, assuming the volume remains constant. This is based on the ideal gas law, where pressure is directly proportional to temperature when volume is constant.
What will increase voltage if current is increased?
a constant resistance
What are the function of glucagon?
It increase the glucose level.It is produced by function.
How will volume of a balloon change if pressure remains constant but pressure increase?
The volume will increase in proportion to the increase in absolute temperature.
