Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. One of them, of mass 7.50 kg, is sliding to the left at 5.00 m/s, while the other, of mass 5.75 kg, is slipping to the right at 6.00 m/s. They hold fast to each other after they collide. (a) Find the magnitude and direction of the velocity of these free-spirited otters right after they collide. (b) How much mechanical energy dissipates during this play?
Solution 34E Step 1: Given data: Mass of otter m = 1.50 kg Velocity of otter v =15.00 m/s Mass of otter m = 5.75 kg 2 velocity of otter v =26.00 m/s Step 2: Since the otters hold on when they collide is an inelastic collision and only momentum is Conserved. m 1 1im v =2 2i+ m ) 1 2 * f now we know the mass and initial velocities so solve for v . f vf= m v1+ 1iv /(2 2im ) 1 2 Here v is positive and v is negative. 1i 2i vf= [( 7.5 5* + (5.75 6)]/(*.50 + 5.75) v = 0.226 m/s f This means since we choose right as positive it is moving left at 0.226 m/s.