Yes, a 2- kg rock has twice the mass of a 1-kg rock, since mass is measured in kilograms.
Four times greater. The force on the string is determined by the centripetal force required to keep the ball moving in a circular path, which is proportional to the square of the velocity. Doubling the velocity will result in four times the centripetal force.
the ball with the twice amount of mass will fall more quicklythan the one who has a normal size of mass================================Answer #2:And now, to deal with the question:-- The double-mass has twice the weight of the single-mass.-- So it takes twice the force of air resistance to cause the double-massto stop accelerating.I think this already answers the question. But we also know . . .-- Since they're the same size and shape, the double-mass needs to fall fasterin order to build up twice the air resistance, so its terminal speed is greaterthan the terminal speed of the single mass.
You would do twice the work because work is calculated as force times distance. So, if you apply twice the force over the same distance, the work done would be twice as much.
If the output piston of a car hoist is replaced by a piston of twice the area, the output force would double. This is because the force exerted by a hydraulic system is directly proportional to the area of the piston. Since the new piston has twice the area, it would exert twice the force on the car lift.
Kinetic Energy = (1/2)*(mass)*(velocity)2 If you double the mass, then the kinetic energy will double If you double the velocity, the kinetic energy will increase by a factor of 4
Four times greater. The force on the string is determined by the centripetal force required to keep the ball moving in a circular path, which is proportional to the square of the velocity. Doubling the velocity will result in four times the centripetal force.
When something increases in velocity, its momentum would increase because momentum is equal to its mass * velocity. This means that the momentum and velocity are proportional, so twice the velocity is twice the momentum, and so on.
If a ball swinging in a circle on a string is moved twice as fast, the tension in the string, which provides the centripetal force, will increase. The centripetal force required is proportional to the square of the velocity; thus, if the speed doubles, the force will increase by a factor of four. This relationship is described by the formula ( F = \frac{mv^2}{r} ), where ( m ) is the mass of the ball, ( v ) is the velocity, and ( r ) is the radius of the circle. Therefore, the force of the string will be four times greater.
the ball with the twice amount of mass will fall more quicklythan the one who has a normal size of mass================================Answer #2:And now, to deal with the question:-- The double-mass has twice the weight of the single-mass.-- So it takes twice the force of air resistance to cause the double-massto stop accelerating.I think this already answers the question. But we also know . . .-- Since they're the same size and shape, the double-mass needs to fall fasterin order to build up twice the air resistance, so its terminal speed is greaterthan the terminal speed of the single mass.
Twice the mass --> twice the kinetic energy.
Once for the unit of velocity and again for the interval of time in which the velocity is changing.
Escape velocity is determined by the formula ( v = \sqrt{\frac{2GM}{R}} ), where ( G ) is the gravitational constant, ( M ) is the mass of the planet, and ( R ) is its radius. For a planet with twice the mass of Earth and twice the diameter, its radius would also be twice that of Earth. Thus, the escape velocity would be ( v = \sqrt{\frac{2G(2M)}{2R}} = \sqrt{\frac{2GM}{R}} = 11 , \text{km/s} ). Therefore, the escape velocity for this planet would remain 11 km/s.
No. An object's velocity is completely unrelated to its mass. When you're sitting in your seat on a commercial airliner cruising at 30,000 feet, your velocity is precisely the same as the airliner's velocity, even though, we venture to surmise, there is quite a difference between the airliner's mass and yours.
To accelerate an object twice as fast, you would need to exert twice the force. This is because force is directly proportional to acceleration, as defined by Newton's second law, F=ma. So if you double the acceleration, you must double the force.
No. For a start, you probably don't mean "acceleration" you probably mean "speed" or "velocity." There is a non-linear relationship between force applied on an object and the speed which it will travel through a medium (in this case, air). To double the speed, the amount of force required is more than double, since as the speed of the object increases, the frictional losses similarly increase. Since in this case, the ball will continue to slow immediately after release, the ball is experiencing "acceleration" with a negative value. A In case you are really asking about acceleration the answer is yes. If the ball, in your hand, starts from rest and is accelerated up to some velocity at which it leaves your hand then that acceleration will be double if you throw with twice the force. This will cause the ball to leave your hand with twice the velocity. Once it leaves your hand you are no longer exerting a force on it and the ball will be subject to air resistance which will affect its velocity as described above.
You would do twice the work because work is calculated as force times distance. So, if you apply twice the force over the same distance, the work done would be twice as much.
the rate of acceleration depends on mass and force , in the equation a= f/m ie halve the mass = twice the acceleration double the force = twice the acceleration