A pickup truck is carrying a 10.0 kg toolbox, but the tailgate of the truck is missing, so the box can slide out if it starts mo
ving. The coefficients of static and kinetic friction between the toolbox and the truck bed are 0.31 and 0.18, respectively. Assume that the truck bed is horizontal. What is the shortest time the truck could take to accelerate from rest to 13.2 m/s without causing the toolbox to slide
1 answer:
You might be interested in
Answer:
Explanation:
The ball will rise decreasing its speed until it reaches the highest point where its speed will be zero. From this point the tennis ball will begin to fall again, in the free fall the tennis ball will gain speed but now in the opposite direction. When it returns to the same point where it was launched, its speed will be the same as the one that was launched but with the opposite sign.
We can check this using the equation:
where
ang h is the height, but because the ball returns to the same point where it started, h =0
then
the initial and final velocity will be the same in number, but we know that the ball is going in the opposite direction, so the final velocity must have the opposite sign from the initial velocity
so if ,
Answer:
The half-life is
Explanation:
Using the decay equation we have:
Where:
- λ is the decay constant
- A(0) the initial activity
- A is the activity at time t
We know the activity decrease by a factor of two in a one hour period (t = 1 h), it means that
Taking the natural logarithm on each side we have:
Now, the relationship between the decay constant λ and the half-life t(1/2) is:
I hope it helps you!