Samantha wants to study circus performance when she gets to college. She has mastered many physical skills already, but she keep
2 answers:
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We must place the pivot to keep the meter stick in balance at 90 cm (10 cm from the weight) from the free end.
Answer: Option B
<u>Explanation:</u>
In initial stage, the meter stick’s mass and mass hanged in meter stick at one end are same. Refer figure 1, the mater stick’s weight acts at the stick’s mid-point.
If in case, the meter stick is to be at balanced form, then the acting torques sum would be zero. So,
Taking out ‘mg’ as common and we get
Hence, the stick should be pivoted at a distance of,
So, the stick should be pivoted at a distance of 75 cm at the free end
Now, replace mass with another mass. i.e., four times the initial mass (as given)
If in case, the meter stick is to be at balanced form, then the acting torques sum would be zero. So,
Taking out ‘mg’ as common and we get
Hence, the stick should be pivoted at a distance of,
So, the stick should be pivoted at a distance of 10 cm from the free end.
Therefore, the option B is correct 90 cm (10 cm from the weight).
Answer:
Explanation:
The described situation is is related to vertical motion (and free fall). So, we can use the following equation that models what happens with this rock:
(1)
Where:
is the rock's final height
is the rock's initial height
is the rock's initial velocity
is the angle at which the rock was thrown (directly upwards)
is the time
is the acceleration due gravity in Planet X
Then, isolating and taking into account
:
(2)
(3)
Finally:
(4) This is the acceleration due gravity in Planet X
Answer:
T = 480.2N
Explanation:
In order to find the required force, you take into account that the sum of forces must be equal to zero if the object has a constant speed.
The forces on the boxes are:
(1)
T: tension of the rope
M: mass of the boxes 0= 49kg
g: gravitational acceleration = 9.8m/s^2
The pulley is frictionless, then, you can assume that the tension of the rope T, is equal to the force that the woman makes.
By using the equation (1) you obtain:
The woman needs to pull the rope at 480.2N