Darryl throws a basketball at the gym floor. The ball bounces once on the floor and comes to rest in his coach’s hands. At which
1 answer:
Answer:
when the ball is at rest in his coach's hands.
Explanation:
The forces on the basketball are balanced when the basketball is not experiencing any acceleration. This happens when the ball is in his coach's hand: in fact, at that moment the ball is at rest, so it means that its acceleration is zero. According to Newton's second law, this also mean that the net force on the basketball is zero, so the forces on the ball are balanced:
where F is the net force, m is the mass of the ball and a is the acceleration.
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Answer:
(a)
(b)
Explanation:
Given data
Solution
For Part (a)
As the velocity component in direction of y is given by:
The maximum displacement is given by:
For Part (b)
To reach y=46cm =0.46m apply:
Answer:
Explanation:
Given
Required
Find x
Since the triangle is a 45-45-90 triangle, the following relationship exists
--- i.e. the other legs are equal
So, we have:
Divide both sides by 2
Take square roots of both sides
Simplify
Answer:
1280 mg
Explanation:
Radioactive decay is a phenomenon that occurs when a certain isotope of an element, said to be radioactive, decays, turning into a lighter nucleus and emitting radiation + energy in the process.
The radioactive decay of this isotope of polonium is described by the equation
where
is the amount of polonium left after time t
is the amount of polonium t time t = 0
is the half-life of the polonium, in days (it is the time it takes for the initial element to halve its amount)
IN this problem, we know that:
After t = 560 days, the amount of polonium left is . Therefore, we can re-arrange the equation, substituting t = 560 d, and solve for
to find the initial amount of polonium: