Question

In: Physics

A hockey puck B rests on frictionless, level ice and is struck by a second puck...

A hockey puck B rests on frictionless, level ice and is
struck by a second puck A, which was originally traveling at
40.0 m/s and which is deflected 30.0° from its original
direction. (See the Figure). Puck B acquires a velocity at a
45.0° angle to the original direction of A. The pucks have the
same mass. (a) Compute the speed of each puck after the
collision. (b) What fraction of the original kinetic energy of
puck A dissipates during the collision?

Expert Solution

Let Mass of each block = m kg

final velocity of Puck A = VA m/s

final velocity of Puck B = VB m/s

By using horizontal momentum conservation

momentum before collision = mumentum after collision

muA + muB = mVA cos30o +VB cos45o

40 +0 = VA * 0.866 +VB *0.7071

40 = VA * 0.866 +VB *0.7071 ........................eq (i)

By using vertical momentum conservation

momentum before collision = mumentum after collision

0 = mVA sin30o - mVB sin45o

VB sin45o = VA sin30o

VB *0.7071 = VA *0.5 ......................eq(ii)

Put value of VB *0.7071 in eq(i)

40 = VA * 0.866 + VA *0.5

40 = 1.366 VA

VA = 40 / 1.366

VA = 29.28 m/s .....................Ans

Put value VA = 29.28 in eq (ii)

VB *0.7071 = 29.28 *0.5

VB *0.7071 = 14.64

VB = 14.64/0.7071

VB = 20.7 m/s ......................Ans

Part(b)

...................................Ans

genius_generous answered 2 years ago

Hockey puck B rests on a smooth ice surface and is struck by a second puck...

Hockey puck B rests on a smooth ice surface and is struck by a second puck A, which has the same mass. Puck A is initially traveling at 16.0m/s and is deflected 22.0 degrees from its initial direction. Assume that the collision is perfectly elastic. a) Find the final speed of puck b after the collision. b) Find the final speed of puck a after the collision. c) Find the direction of b's velocity after the collision

Suppose a hockey player sees a puck sliding on level ice (neglect friction on the puck)...

Suppose a hockey player sees a puck sliding on level ice (neglect friction on the puck) to the left. The player decides to gently push the puck up the ice (so perpendicular to the puck's initial velocity), and continues to push the puck in the same direction for 10 seconds. Afterward, the puck just continues to slide across the ice without the player nearby. Select ALL that are true. A. The puck's speed stays the same after 10 seconds for...

A 0.320 kg puck at rest on a horizontal frictionless surface is struck by a 0.220...

A 0.320 kg puck at rest on a horizontal frictionless surface is struck by a 0.220 kg puck moving in the positive x direction with a speed of 4.05 m/s. After the collision, the 0.220 kg puck has a speed of 1.29 m/s at an angle of ? = 60.0° counterclockwise from the positive x axis. (a) Determine the velocity of the 0.320 kg puck after the collision. Express your answer in vector form. vf = ___m/s (b) Find the...

A 0.255kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.215kg...

A 0.255kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.215kg puck that is initially moving along the x axis with a velocity of 2.15m/s. After the collision, the 0.215kg puck has a speed of 1.14m/s at an angle of θ = 57.8° to the positive x axis. (a) Determine the speed of the 0.255kg puck after the collsion. b) Determine the angle of the puck with respect to the x-axis. c) Find the percentage...

A 0.478 kg puck, initially at rest on a horizontal, frictionless surface, is struck by a...

A 0.478 kg puck, initially at rest on a horizontal, frictionless surface, is struck by a 0.129 kg puck moving initially along the x axis with a speed of 2.19 m/s. After the collision, the 0.129 kg puck has a speed of 1.19 m/s at an angle of 29◦ to the positive x axis. Determine the magnitude of the velocity of the 0.478 kg puck after the collision. Answer in units of m/s.

A 0.30 kg puck, initially at rest on a frictionless horizontal surface, is struck by a...

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 2.4 m/s. After the collision, the 0.20 kg puck has a speed of 0.8 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. _ at _ ° from +x axis (b) This was...

2. a) A 0.20 kg hockey puck on a frictionless surface is hit with a stick....

2. a) A 0.20 kg hockey puck on a frictionless surface is hit with a stick. The force of the stick on the puck, during the 0.4 seconds while they are in contact, causes the puck to go from rest to 36 meters per second east. What was the magnitude of the average force of the stick on the puck while they were in contact? b) A 3-kg block is placed on a frictionless ramp-incline, where it slides from rest,...

A 2 kg puck, initaly at rest on a horizonta, frictionless surface is struck by another...

A 2 kg puck, initaly at rest on a horizonta, frictionless surface is struck by another 2 kg puck moving at a velocity of 2 m/s along the x-axis. After the collision, one puck is moving at a speed of 1 m/s at an angle 53 degrees to the positive x-axis. A. What is the velocity of the other puck? B. How much energy is lost in the collision? C. At what angle, does the other puck make?

A 78.5kg ice hockey goalie, originally at rest, catches a 0.120kg hockey puck slapped at him...

A 78.5kg ice hockey goalie, originally at rest, catches a 0.120kg hockey puck slapped at him at a velocity of 36 m/s. Suppose the goalie and the ice puck have an elastic collision and the puck is reflected back in the direction it came. a) What would the final velocity of the puck be in this case? Be careful with the sign! b) What would the final velocity of the goalie be in this case?

A 0.300-kg puck, initially at rest on a horizontal, frictionless surface, is struck by a 0.200-kg...

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