Posted by **zamdirhy** on Thursday, April 19, 2012 at 6:46am.

The coefficient of friction between the block of mass m1 = 3.00 kg and the surface in the figure below is ìk = 0.365. The system starts from rest. What is the speed of the ball of mass m2 = 5.00 kg when it has fallen a distance h = 1.90 m?

- physics -
**Elena**, Thursday, April 19, 2012 at 10:51am
The equations of the motion in vector form are

m1•⌐a=m1•⌐g+⌐N +⌐F(fr) +⌐T,

m2•⌐a = m2•⌐g + ⌐T,

Projections on x- and y- axes:

m1•a= T – F(fr),

m1•g = N,

m2••a = m2g – T.

F(fr) = k•N.

Solving for acceleration a, we obtain

a = g• (m2 –km1)/(m1+m2) = 4.78 m/s^2.

From kinematics

a = v^2/2•h,

then

v =sqrt(2•a•h) = sqrt(2•4.78•1.9) = 4.26 v/s.

## Answer this Question

## Related Questions

- physics - Two blocks, A and B (with mass 50 kg and 100 kg, respectively), are ...
- physics - Two blocks, A and B (with mass 50 kg and 100 kg, respectively), are ...
- physics - The 2 kg block in Figure 7-25 slides down a frictionless curved ramp, ...
- Physics - Block A in the figure weighs 48.0N . The coefficient of static ...
- Physics - A bullet with a velocity of 200 m/s is shot at a 2-kg block resting on...
- Physics - A block of mass m1 is on top of a block of mass m2. Block 2 is ...
- Dynamics of Rigid Bodies - The system of blocks A and B and two pulleys C and D ...
- @ elena - In the figure the coefficient of static friction between mass (MA) ...
- Physics - A force of 40 N is applied at an angle of 30oabove the horizon to a 5 ...
- physics - A 450 g block is at rest on a horizontal surface. The coefficient of ...

More Related Questions