In general, what do you think are the benefits if you already achieve your body goals.
1 answer:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The tension is
b
The time taken is
c
The position for maximum velocity is
S = 0
d
The maximum velocity is
Explanation:
The free body for this question is shown on the second uploaded image
From the question we are told that
The mass of the bob is
The angle is
The length of the string is
The tension on the string is mathematically represented as
substituting values
The motion of the bob is mathematically represented as
=>
Where is the angular speed
and is the phase change
At initial position S = 0
So
Generally can be mathematically represented as
Where T is the period of oscillation which i mathematically represented as
So
substituting values
Looking at the equation
We see that maximum velocity of the bob will be at S = 0
i. e
The maximum velocity is mathematically represented as
Where A is the amplitude which is mathematically represented as
So
Recall
substituting values
Answer: -3.49 m/s (to the south)
Explanation:
This problem can be solved by the Conservation of Momentum principle which establishes the initial momentum must be equal to the final momentum
, and taking into account this is aninelastic collision:
Before the collision:
(1)
After the collision:
(2)
Where:
is the mass of the car
is the velocity of the car, directed to the north
is the mass of the truck
is the velocity of the truck, directed to the south
is the final velocity of both the car and the truck
(3)
(4)
Isolating :
(5)
(6)
Finally:
The negative sign indicates the direction of the velocity is to the south