Answer
given,
mass of the steel ball = 35 g = 0.035 kg
the horizontal distance is
( v cos θ ) t = 4.8..........(1)
the vertical distance is
...(2)
since,
..................(3)
using equation(2) and (3)
(v t)² (cos²θ+ sin²θ) = 4.8² + 4²
(v t)² = 39.04
t = 0.76 s
the speed is
vt = 6.25
v × 0.76 = 6.25
v = 8.22 m/s
PART A)
horizontal distance that will be moved = 14 m
Height of the fence = 5.0 m
height from which it is thrown = 1.60 m
angle of projection = 54 degree
So here we can say that stone will travel vertically up by distance
now we will have displacement in horizontal direction
now we know that
now we will have
also for y direction
now from the two equations we will have
now from above equations
So the minimum speed will be 13.2 m/s
Part B)
Total time of the motion after which it will land on the ground will be "t"
so its vertical displacement will be
now we will have
Now the time after which it will reach the fence will be t1 = 1.8 s
so total time after which it will fall on other side of fence
now the displacement on the other side is given as
<span>Molecular mass of C is: 12.01 g/mol
1 mole C: 0.012 kg
Molecular mass of H is: 1.08 g/mol
1 mole H: 0.01 kg
Reduced mass: Mr = m1m2/(m1+m2) = 0.012*0.01/(0.022) = 5.45x10-³ kg
f = (1/2π)√(k/Mr) = (1/2π)√{500/5.45x10-³} = (1/2π)10²√{9.166} = 48.1 Hz. I hope this helps </span>
Answer: I only have the answer for A, but still, the answer is 20.07.
- Explanation: Because the number ends in a 15, round to the nearest tenth which is 20. So now the number is 5420.
- To get the Watts (W) you have to take 5420 and divide it by the time in seconds. 4.5 minutes in seconds is 270, so 5420 divided by 270 equals 20.07.
- So 20.07 is the answer.