Answer:
at t=46/22, x=24 699/1210 ≈ 24.56m
Explanation:
The general equation for location is:
x(t) = x₀ + v₀·t + 1/2 a·t²
Where:
x(t) is the location at time t. Let's say this is the height above the base of the cliff.
x₀ is the starting position. At the base of the cliff we'll take x₀=0 and at the top x₀=46.0
v₀ is the initial velocity. For the ball it is 0, for the stone it is 22.0.
a is the standard gravity. In this example it is pointed downwards at -9.8 m/s².
Now that we have this formula, we have to write it two times, once for the ball and once for the stone, and then figure out for which t they are equal, which is the point of collision.
Ball: x(t) = 46.0 + 0 - 1/2*9.8 t²
Stone: x(t) = 0 + 22·t - 1/2*9.8 t²
Since both objects are subject to the same gravity, the 1/2 a·t² term cancels out on both side, and what we're left with is actually quite a simple equation:
46 = 22·t
so t = 46/22 ≈ 2.09
Put this t back into either original (i.e., with the quadratic term) equation and get:
x(46/22) = 46 - 1/2 * 9.806 * (46/22)² ≈ 24.56 m
True. The 7 colors, also called a rainbow, are red, orange, yellow, green, blue, indigo, and violet. This rainbow is formed because the prism bends the white light and spreads it out into the colors it was made of. If there is more you were looking for, comment here.
Answer: 0.798 m
Explanation:
Given
Mass of the spring oscillator, m = 1.48 kg
Force constant of the spring, k = 35.4 N/m
Speed of oscillation, v = 3.9 m/s
Kinetic Energy = 1/2 mv²
Kinetic Energy = 1/2 * 1.48 * 3.9²
KE = 0.5 * 22.5108
KE = 11.26 J
Using the law of conservation of Energy. The Potential Energy of the system is equal to Kinetic Energy of the system
KE = PE
PE = 1/2kx²
11.26 = 1/2 * 35.4 * x²
11.26 = 17.7x²
x² = 11.26 / 17.7
x² = 0.6362
x = √0.6362
x = 0.798 m
Answer:
Work = 6912 joules
Explanation:
Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from the system as the system progresses, energy that you can't get back. These forces are path dependent; therefore it matters where the object starts and stops.
Total mass = 40 + 8 = 48kg
Initial speed u= 6 m/s
Final speed v = 3*initial
Final speed v = 3* 6 = 18 m/s
Distance s = 15
Acceleration a is?
V² = U² + 2aS
18² = 6² + 2a*15
324 = 36 + 30a
324-36= 30a
288 = 30a
288/30 = a
9.6= a
Force = mass* acceleration
Force = 48*9.6
Force = 460.8N
Work = force*distance
Work = 460.8*15
Work = 6912 joules
Answer:
Explanation:
As we know by the formula of elasticity that
now we have
Area = 15.2 mm x 19.1 mm
now we also know that force is given as
here we have
stress = Force / Area
now from above formula we have
