A proton beam in an accelerator carries a current of 134 µa. if the beam is incident on a target, how many protons strike the ta
1 answer:
The intensity of current is defined as the quantity of charge Q that passes through a certain point in a time 
:
In our problem, the current is
while the time interval is 16.0 s, so we can use the previous equation to find the total charge that strikes the target in this time:
We know that each proton carries a charge of
, so we can find the number of protons that strike the target by dividing the total charge by the charge of a single proton:
In our problem, the current is
We know that each proton carries a charge of
You might be interested in
Answer:
The pressure on the ground is about 9779.5 Pascal.
The pressure can be reduced by distributing the weight over a larger area using, for example, a thin plate with an area larger than the circular area of the barrel's bottom side. See more details further below.
Explanation:
Start with the formula for pressure
(pressure P) = (Force F) / (Area A)
In order to determine the pressure the barrel exerts on the floor area, we need the calculate the its weight first
where m is the mass of the barrel and g the gravitational acceleration. We can estimate this mass using the volume of a cylinder with radius 30 cm and height 1m, the density of the water, and the assumption that the container mass is negligible:
The density of water is 997 kg/m^3, so the mass of the barrel is:
and so the weight is
and so the pressure is
This answers the first part of the question.
The second part of the question asks for ways to reduce the above pressure without changing the amount of water. Since the pressure is directly proportional to the weight (determined by the water) and indirectly proportional to the area, changing the area offers itself here. Specifically, we could insert a thin plate (of negligible additional weight) to spread the weight of the barrel over a larger area. Alternatively, the barrel could be reshaped (if this is allowed) into one with a larger diameter (and smaller height), which would achieve a reduction of the pressure.