In: Physics

A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg puck that is initially moving along the x-axis with a velocity of 9.0 m/s. After the collision, the 0.20-kg puck has a speed of 5.4 m/s at an angle of θ = 53° to the positive x-axis.

a)Determine the velocity of the 0.30-kg puck after the collision.

magnitude-?

direction-? (from the positive X-axis)

(b) Find the fraction of kinetic energy lost in the collision.

Solution-

(a)Use the momentum conservation in x and y direction to find the velocity of 0.3 kg puck,

Momentum conservation in the x-direction,

......(1)

Momentum conservation in the y-direction,

......(2)

Substitute in equation 1

Now find V, use equation 2

The velocity of 0.3 kg Puck is 4.78 m/s towards 37 angles from the x-axis.

(b)

Find the initial kinetic energy and final kinetic energy to find loss,

......(3)

similarly final kinetic energy after the collision,

Use equation 3,

or 22 % of the initial energy is being lost.

**Therefore, total friction energy loss in the collision
is 1.76 J , or 22 % energy of the system is loss.**

A 0.300-kg puck, initially at rest on a horizontal, frictionless
surface, is struck by a 0.200-kg puck moving initially along the x
axis with a speed of 2.00 m/s. After the collision, the 0.200- kg
puck has a speed of 1.00 m/s at an angle of θ = 53.0° to the
positive x axis. (a) Determine the velocity of the 0.300-kg puck
after the collision. (b) Find the fraction of kinetic energy lost
in the collision.
and please explain

A 0.300-kg puck, initially at rest on a horizontal, frictionless
surface, is struck by a 0.200-kg puck moving initially along the x
axis with a speed of 2.00 m/s. After the collision, the 0.200- kg
puck has a speed of 1.00 m/s at an angle of θ = 53.0° to the
positive x axis. (a) Determine the velocity of the 0.300-kg puck
after the collision. (b) Find the fraction of kinetic energy lost
in the collision. (4 points)

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the collsion.
b) Determine the angle of the puck with respect to the
x-axis.
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