A spring with spring constant 190 N/m vibrates with an amplitude of 8.0 cm when 0.380 kg hangs from it.
What is the equation describing this motion as a function of time?
Assume the mass passes through the equilibrium point, toward positive x (upward), at t = 0.100 s.
x=A*cos(omega*t +...
There is a maximum height of a uniform vertical column made of any material that can support itself without breaking, and it is independent of the cross-sectional area.
(a) Calculate this height for aluminum (density 2.7 103 kg/m3).
(b) Calculate this height for granite (density 2.7 103...
A thin 6.0 kg wheel of radius 30 cm is weighted to one side by a 2.0 kg weight, small in size, placed 24 cm from the center of the wheel.
Calculate the position of the center of mass of the weighted wheel.
Here's what I have so far.
I set the origin as the center of the wheel.
Center of...
These 2 equations are separate components (X and Y). I can just solve for the 2nd one and plug into the first? I thought I have to solve each one individually and then combine them to find the hypontenuse (V_final).
momentum equation:
initial momentum = final momentum
m1v1 + m2v2 = m1v1(final) + m2v2(final)
I know that m2v2 (initial) = 0 because the target ball is at rest.
Kinetic energy equation:
initial energy = final energy
.5m1v1^2 + .5m2v2^2 =...
A softball of mass 0.220 kg that is moving with a speed of 6.7 m/s collides head-on and elastically with another ball initially at rest. Afterward it is found that the incoming ball has bounced backward with a speed of 4.2 m/s. (Assume the positive direction is forward.)
(a) Calculate the...
A ball moving with a speed of 15 m/s strikes an identical ball that is initially at rest. After the collision, the incoming ball has been deviated by deta1 = -41° from its original direction, and the struck ball moves off at deta2 = 24° from the original direction. What are the speeds of the two...
kinetic energy...
The Earth's distance from the sun varies from 1.474e8 km to 1.525e8 km during the year. Take the Sun to be at rest.
Determine the difference in the Earth's kinetic energy.
Would I just use K=.5mv^2? If so what would v be?
If not, how would I set this up?
Thank you.
vectors and angle...
How can I find the angle that a vector makes with the X, Y, or Z axis?
Example: V=24i + 12j - 20k. What angle does this vector make with x, y, and z axis?
A block lies on a smooth plane tilted at an angel 25.5 degrees to the horizontal with coefficient of kinetic friction = 0.17.
What is the acceleration of the block as it slides down?
A person dangles her watch from a string while the plane takes off. She notices that the string makes a angle of 25 degrees with respect to the vertical whie the plane accelerates to take off, which takes 19 seconds. What is the takeoff speed of the plane?
How do I get started? I think the X...