Answer:
=9.72 m/s
Explanation:
From the Newton's laws of motion;
x=2(v²cos∅sin∅)/g
Using geometry we see that 2 cos∅sin∅ = sin 2∅
Therefore, x= (v²sin 2∅)g, where v is the take off speed x the range and ∅ the launch angle.
Making v the subject of the formula we obtain the following equation.
v=√{xg /(sin 2∅)}
x=7.80
∅=27.0
v=√{7.8×9.8/sin(27×2)}
v=√94.485
v=9.72 m/s
Explanation:
Momentum is mass times velocity.
p = mv
720 kg m/s = m (5 m/s)
m = 144 kg
By definition, a cube is a three-dimensional figure that have equal dimensions for all its sides. It comprises of two square bases, one on top and one on the bottom. The face sides are also squares. Therefore, the volume of a cube is equal to s³, where s is the measure of the side's length. To compare the change, let us assume values. First, suppose s=1. Then, we denote this volume as V₁.
V₁ = (1)³ = 1
Next, taking the double, s=2. The volume for this is denoted as V₂.
V₂ = (2)³ = 8
Taking the ratio of V₂ to V₁:
V₂/V₁ = 8
That means the scale factor is 8. When the side dimensions is doubled, the volume of the cube increases 8 times as great as the original volume.
The ideal mechanical advantage of a lever (IMA) is given by:
Where:
Le = Effort of the arm
Lr = Resistance arm.
Therefore, we can increase the force adventage by increasing the effort arm or reducing the load arm
Answer:
a. Make the effort length longer.
Answer:
f = 400 / 5 s = 80/sec frequency of revolution
P = 1/f = 1/(80/sec) = .0125 sec period of revolution
