Answer:
Approximately
.
Explanation:
By the Impulse-Momentum Theorem, the change in this woman's momentum will be equal to the impulse that is applied to her.
The momentum
of an object is equal to the product of its mass
and velocity
. That is:
.
Let
and
represent the velocity of the woman before and after the landing. Let
represent the woman's mass.
- The woman's momentum before the landing would be
. - The woman's momentum after the landing would be
.
Therefore, the change in this woman's momentum would be:
.
On the other hand, impulse is equal to force multiplied by the duration of the force. Let
represent the average force on the woman. The impulse on her during the landing would be
.
Apply the Impulse-Momentum Theorem.
- Impulse:
. - Change in momentum:
.
Impulse is equal to the change in momentum:
.
After landing, the woman comes to a stop. Her velocity would become zero. Therefore,
.
.
The alpha particle is emitted at 4235 m/s
Explanation:
We can use the law of conservation of momentum to solve the problem: the total momentum of the original nucleus must be equal to the total momentum after the alpha particle has been emitted. Therefore:
where:
is the mass of the original nucleus
is the initial velocity of the nucleus
is the mass of the alpha particle
is the final velocity of the alpha particle
is the mass of the daughter nucleus
is the final velocity of the nucleus
Solving for
, we find the final velocity of the alpha particle:

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Answer:The gravitational field on Saturn can be calculated by the following formula;
Explanation:
A convex lens makes light rays converge (come together) at the focal point or focus. The distance from the center of the lens to the focal point is the focal length of the lens. Convex lenses are used in things like telescopes and binoculars to bring distant light rays to a focus in your eyes.