Answer:
Explanation:
Given
Radioactive material is found to decrease 40% of its original value in
Sample at any time is given by
where,
Put values
Taking natural logarithm both side
Let's examine over the next few questions an NFL kick as described in the 3rd Law video. The announcer claimed that the ball is
1 answer:
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Answer:
(a) vmax = 0.34m/s
(b) v = 0.13m/s
(c) v = 0.31m/s
(d) x = 0.039m
Explanation:
Given information about the spring-mass system:
m: mass of the object = 0.30kg
k: spring constant = 22.6 N/m
A: amplitude of the motion = 4.0cm = 0.04m
(a) The maximum speed of the object is given by the following formula:
(1)
w: angular frequency of the motion.
The angular frequency is calculated with the following relation:
(2)
You replace the expression (2) into the equation (1) and replace the values of the parameters:
The maximum speed of the object is 0.34 m/s
(b) If the object is compressed 1.5cm the amplitude of its motion is A = 0.015m, and the maximum speed is:
The speed is 0.13m/s
(c) To find the speed of the object when it passes the point x=1.5cm, you first take into account the equation of motion:
You solve the previous equation for t:
With this value of t, you can calculate the speed of the object with the following formula:
The speed of the object for x = 1.5cm is v = 0.31 m/s
(d) To calculate the values of x on which v is one-half the maximum speed, you first calculate the time t:
The position will be:
The position of the object on which its speed is one-half its maximum velocity is 0.039