Gunpowder burns, heat and pressure rise, ball accelerates
Guns are designed so that the potential of the gunpowder is translated into
momentum of the cannonball, if you hold the barrel diameter and cannonball size the same, the only way to increase the momentum (and velocity) is to apply the gunpowder force (pressure) for longer, this means:
1) A longer barrel
2) More gunpowder
A longer barrel allows the cannonball to be in contact with the expanding gases for a longer period of time, resulting in a greater acceleration and higher muzzle velocity. This increased velocity translates to greater momentum for the cannonball.
No, the cannon and cannonball will not have the same amount of kinetic energy when the cannon is fired. The cannonball typically has more kinetic energy due to its higher velocity compared to the slower-moving cannon.
The long barreled cannon allows a longer time for the explosive charge to act upon the cannonball, which increases its velocity, making it go farther. You could also say the distance of the force of the long barreled cannon is greater, which increases its velocity, making it go farther.
Distance Traveled is directly proportional to velocity. This is because velocity is the change in position over a period of time. The greater the velocity, the greater the distance traveled. For you calculus junkies, integrate velocity to get displacement.
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In positive acceleration, the final velocity is greater than the initial velocity. This is because acceleration is the rate of change of velocity, so as time progresses, the velocity increases due to the acceleration.
An increase in velocity has a greater effect on momentum than an increase in mass. This is because momentum is directly proportional to velocity, while mass only has an indirect effect on momentum through its influence on velocity.
A projectile thrown with a greater velocity would travel a greater distance. Velocity is not just speed but direction as well.
A projectile thrown with a greater velocity would travel a greater distance. Velocity is not just speed but direction as well.
The one with the greater velocity will have the greater kinetic energy.
For two bodies with equal radius, the more massive has the greater escape velocity. For two bodies with equal mass, the one with smaller radius has the greater escape velocity. Both conditions listed in the question indicate greaterescape velocity.
The SUV would have the greater momentum because momentum is the product of an object's mass and velocity. Since an SUV typically has greater mass than a compact car, it would have greater momentum at the same velocity.