Which of the following depend upon the amount of matter in an object?
1 answer:
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Answer:
<em>The change of momentum of the dart is 0.84 Nw.s</em>
Explanation:
<u>Impulse and change of momentum</u>
The change in momentum of an object is its mass times the change in its velocity:
The change in the momentum can also be found by considering the force acting on it. If a force F acts for a time Δt, the change of momentum is given by:
The dart hits a dashboard with a net force of 14 N during the collision and stops in 0.06 seconds. The change of momentum is:
The change of momentum of the dart is 0.84 Nw.s
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I am sending the soluction !!!
If you have any question, let me now =)
Jorge:)
1) No
Explanation:
The period of a pendulum is given by
where
L is the length of the pendulum
g is the acceleration due to gravity
The value of g, acceleration due to gravity, is not exactly the same in all locations of the Earth. In fact, its value is given by
where G is the gravitational constant, M is the Earth's mass, and r the distance of the point from the Earth's center. This means that at the top of a mountain, r is slightly larger than at the Earth's surface, so the value of g is slightly smaller at the top of the mountain, and therefore the period of the pendulum will also be different (it will be slightly longer than at Earth's surface).
2) We need to decrease the length of the pendulum
Again, the period is given by
(1)
If the clock is running slow, it means that its period T' is slightly longer than the expected period T: so, we need to shorten the period.
From eq.(1), we see that the period is proportional to the square root of the length of the pendulum, L: therefore, if the length increases the period increases, and if the length decreases, the period will decreases.
Here we want to shorten the period: therefore, according to the equation, we need to decrease the length of the pendulum.
<em>3)</em>
The torque of a force applied is given by
where
F is the magnitude of the force
d is the distance between the point of application of the force and the pivot point
is the angle between the direction of the force and d
So we have:
a) If we have a large force F, it is possible to produce a small torque by decreasing d, so by applying the force really close to the pivot, or by decreasing , which means applying the force as more parallel as possible to d. The torque will be even zero if d=0 (force applied at the pivot point) or if
(force parallel to d)
b) if we have a small force F, it is possible to produce a large torque by increasing d, so by applying the force really far to the pivot, or by increasing , which means applying the force as more perpendicular as possible to d.