Which is a property of bases?

A 5-kg ball collides inelastically head-on with a 10-kg ball, which is initially stationary. Which of the following statements i

Veseljchak [2.6K]

a. The magnitude of the change of the momentum of the 5-kg ball is equal to the magnitude of the change of momentum of the 10-kg ball.

c. The magnitude of the change of velocity the 5-kg ball experiences is greater than that of the 10-kg ball.

Explanation:

For an inelastic collision:

The total momentum of the system is conserved
The total kinetic energy of the system is not conserved

Using these facts, let's now analyze each statement given.

a. The magnitude of the change of the momentum of the 5-kg ball is equal to the magnitude of the change of momentum of the 10-kg ball. --> TRUE. Since the total momentum is conserved, we can write:

$p_1 = p_1'+p_2'$

where

$p_1$ is the initial momentum of the 5-kg ball

$p_1'$ is the final momentum of the 5-kg ball

$p_2'$ is the final momentum of the 10-kg ball

The equation can be rewritten as

$p_1-p_1'=p_2'$

which is equivalent to

$-\Delta p_1 = \Delta p_2$

which means that the magnitude of the change of momentum of the two balls is the same.

b. Both balls lose all their momentum since the collision is inelastic. --> FALSE, the 10-kg ball gains momentum, so it does not lose it.

c. The magnitude of the change of velocity the 5-kg ball experiences is greater than that of the 10-kg ball. --> TRUE. We already said that the magnitude of the change in momentum of the two balls is the same. However, it can be written as

$\Delta p = m\Delta v$

where m is the mass of the ball and $\Delta v$ its change in velocity. Therefore, the 5-kg ball (which has smaller mass) will have a larger $\Delta v$ , so a larger change in velocity.

d. The magnitude of the change of velocity the 5-kg ball experiences is equal to that of the 10-kg ball. --> FALSE, as we discussed in c).

e. The magnitude of the change of velocity the 5-kg ball experiences is less than that of the 10-kg ball. --> FALSE, as we discussed in c).

Learn more about change in momentum:

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3 years ago

The sketch below shows some of the insides of a stereo speaker. Running current through the wire, which is wrapped around the ba

VARVARA [1.3K]

Energy transformation, also termed as energy conversion, is the process of changing energy from one of its forms into another. In physics, energy is a quantity that provides the capacity to perform many works—think of lifting or warming an object. In addition to being convertible, energy is transferable to a different location or object, but it cannot be created or destroyed.

Energy in many of its forms may be used in natural processes, or to provide some service to society such as heating, refrigeration, lighting or performing mechanical work to operate machines. For example, in order to heat your home, your furnace can burn fuel, whose chemical potential energy is thus converted into thermal energy, which is then transferred to your home's air in order to raise its temperature.

In another example, an internal combustion engine burns gasoline to create pressure that pushes the pistons, thus performing work in order to accelerate your vehicle, ultimately converting the fuel's chemical energy to your vehicle's additional kinetic energy corresponding to its increase in speed.

Contents

1 Entropy and limitations in conversion of thermal energy to other types

2 Transformation of kinetic energy of charged particles to electric energy

3 History of energy transformation from the early universe

4 Examples

4.1 Examples of sets of energy conversions in machines

4.2 Other energy conversions

5 See also

6 References

3 0

2 years ago

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