Question

A ball of 2 kg travels in the x direction with a velocity of 4 m/s....

A ball of 2 kg travels in the x direction with a velocity of 4 m/s. It collides with a ball of mass 3 kg which is initially at rest. After the collision, the first ball travels at a velocity of 2.5 m/s at an angle of 30 degrees from the x axis. What is the velocity of the second ball? NOTE: what if they stuck together? What kind of collision would that be?

Homework Answers

Answer #1

here,

m1 = 2 kg is at u1 = 4 i m/s

m2 = 3 kg

v1 = 2.5 * (cos(30) i + sin(30) j)

v1 = 2.17 i m/s + 1.25 j m/s

let the final speed of seccond be v2

using conservation of momentum

m1 * u1 = m1 * v1 + m2 * v2

2 * 4 i + 2 * ( 2.17 i + 1.25 j) * 3 * v2

solving for v2

v2 = 1.22 i - 0.833 j m/s

the magnitude of velocity , |v2| = sqrt(1.22^2 + 0.833^2) = 1.48 m/s

theta = arctan(0.833/1.22) = 34.3 degreee below the +x axis


IF they stuck together

THE collison is Perfectly inelastic

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A billiard ball (m=0.17 kg) traveling at 3.25 m/s collides with an identical billiard ball at...
A billiard ball (m=0.17 kg) traveling at 3.25 m/s collides with an identical billiard ball at rest. After the collision, the first ball travels at 1.87 m/s at an angle of 23 degrees from the positive x-axis. What is (a) the speed and (b) the angle of the second ball?
A puck with a mass of 1.2 kg moves with a velocity of 5 m/s in...
A puck with a mass of 1.2 kg moves with a velocity of 5 m/s in the x-direction. It collides with a 1.6 kg puck which is initally stationary. After the collision, the second puck moves at a velocity of 1.44 m/s at an angle of 33 degrees below the x axis. A) What is the angle of the first puck after the collision? B)What is the velocity of the first puck after the collision?
A proton with an initial speed of 1.82 ✕ 108 m/s in the +x direction collides...
A proton with an initial speed of 1.82 ✕ 108 m/s in the +x direction collides elastically with another proton initially at rest. The first proton's velocity after the collision is 1.454 ✕ 108 m/s at an angle of 37.0° with the +x-axis. What is the velocity (magnitude and direction) of the second proton after the collision? magnitude m/s direction ? ° counterclockwise from the +x-axis
A ball with a mass of 0.615 kg is initially at rest. It is struck by...
A ball with a mass of 0.615 kg is initially at rest. It is struck by a second ball having a mass of 0.405 kg , initially moving with a velocity of 0.275 m/s toward the right along the x axis. After the collision, the 0.405 kg ball has a velocity of 0.215 m/s at an angle of 36.9 ? above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...
A ball with a mass of 0.590 kg is initially at rest. It is struck by...
A ball with a mass of 0.590 kg is initially at rest. It is struck by a second ball having a mass of 0.390 kg , initially moving with a velocity of 0.275 m/s toward the right along the x axis. After the collision, the 0.390 kg ball has a velocity of 0.185 m/s at an angle of 37.8 ∘ above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. What is the magnitude...
A ball with a mass of 1.1 kg is initially at rest. It is struck by...
A ball with a mass of 1.1 kg is initially at rest. It is struck by a second ball having a mass of 1.3 kg, initially moving with a velocity of 3.5 m/s toward the right along the x axis. After the collision, the 1.3 kg ball has a velocity of 2.7 m/s at an angle of 35? above the x axis in the first quadrant. Both balls move on a frictionless, horizontal surface. Do not assume that the collision...
A ball with mass M = 5 kg is moving with speed V=10 m/s and collides...
A ball with mass M = 5 kg is moving with speed V=10 m/s and collides with another ball with mass m = 2.5 kg which is initially stationary. There is no other force such as gravity acting on the two balls. After the collision, both balls move at angle θ=30 degrees relative to initial direction of motion of the ball with mass M = 5 kg. a) What are the speeds of the two balls after the collision? b)...
A 5.0 kg toy-car moving with a speed of 10.0 m/s in +x direction collides with...
A 5.0 kg toy-car moving with a speed of 10.0 m/s in +x direction collides with a 7.0 kg toy truck moving with a velocity of 15.0 m/s in a direction 37 degrees above +x direction. What is the velocity, both the magnitude and direction, of the two objects after the collision, if they remain stuck together?
6) Mass 1 of 6 kg is initially moving at 9 m/s in the +x direction...
6) Mass 1 of 6 kg is initially moving at 9 m/s in the +x direction and it collides perfectly elastically with mass 2 of 3 kg initially at rest. What is the final velocity of mass 2 after the collision in m/s? (Note: the masses are not needed to answer this question.)
A ball of mass 0.440 kg moving east (+x direction) with a speed of 3.60 m/s...
A ball of mass 0.440 kg moving east (+x direction) with a speed of 3.60 m/s collides head-on with a 0.260 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT