a 2.1x10^3 kg car starts from rest at the top of the driveway that is sloped at an angle of 20 degree with the horizontal. an av
erage friction force of 4.0x10^3 N impedes the cars motion so that the cars speed at the bottom of the driveway is 3.8 m/s. what is the length of the driveway?
1 answer:
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The maximum displacement angle of the bob is 13⁰.
The given parameters;
- <em>Length of the pendulum, L = 1.25 m</em>
- <em>Initial velocity of the bob, v = 0.8 m/s</em>
The maximum displacement of the bob is calculated by applying the principle of conservation of energy;
The maximum displacement angle is calculated as follows;
Thus, the maximum displacement angle of the bob is 13⁰.
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The new weight is 273.8 N
Explanation:
The weight of an object on Earth is given by
where
m is the mass of the object
g is the acceleration of gravity
The acceleration of gravity at the Earth's surface can be rewritten as
where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
Substituting into the previous equation,
We said that in normal conditions, the weight of the person is 730 N:
Later, we are said that:
- The mass of the Earth increases by a factor of 6,
- The radius of the Earth increases by a factor of 4,
Substituting into the equation, we find the new weight of the person in these conditions:
So, the new weight is 3/8 of the original weight, therefore:
Learn more about gravity:
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