use your answer to (b) to help calculate the mass and the velocity of the ball
that's the part i don't understand
am i suppose to use equal the formulas?
YEs, equate the formulas to the numbers you were given.
If I remember correctly, you were given momentum, and KEnergy.
mv= somenumberA
1/2 mv^2= somenumberB.
divide the second equation by the first to get..
1/2 v= somenumberB/somenumberA
that will give you velocity, then substitute back in to get mass.
Frankly, I don't remember the problem well enough to get to specifics.
still don't get it
COULD YOU EXPLAIN this to me
see above.
Sure! Let's go step by step to calculate the mass and velocity of the ball based on the given information.
First, we have the equation for momentum which is given by the formula mv. The momentum of the ball is represented by a certain number, let's call it "somenumberA". So, we can write the equation as:
mv = somenumberA
Next, we have the equation for kinetic energy which is given by the formula 1/2 mv^2. The kinetic energy of the ball is represented by another number, let's call it "somenumberB". So, we can write the equation as:
1/2 mv^2 = somenumberB
To calculate the velocity, we can rearrange the second equation to solve for v:
1/2 mv^2 = somenumberB
Divide both sides by 1/2 m:
v^2 = 2somenumberB/m
Take the square root of both sides:
v = √(2somenumberB/m)
Now, we have the velocity of the ball. To find the mass, we can substitute the value of v back into the first equation:
mv = somenumberA
m * √(2somenumberB/m) = somenumberA
Squaring both sides to eliminate the square root:
m^2 * 2somenumberB/m = somenumberA^2
Simplifying the equation:
2somenumberB = m * somenumberA^2
Finally, dividing both sides by somenumberA^2 to isolate the mass:
m = 2somenumberB / somenumberA^2
By plugging in the values of somenumberA and somenumberB, you can evaluate the equation to find the mass of the ball.