Please SHow work, Step by step no shortcuts. 1. A golf ball of mass 0.045 kg is

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Please SHow work, Step by step no shortcuts.

1. A golf ball of mass 0.045 kg is hit off the tee at a speed of 34 m/s . The golf club was in contact with the ball for 3.90×103 s .

PART A : Find the impulse imparted to the golf ball
PART B: Find the average force exerted on the ball by the golf club.

2. A tennis ball of mass m = 0.076 kg and speed

v = 21 m/s strikes a wall at a 45 Degrees angle and rebounds with the same speed at 45 degrees.

Part A; What is the magnitude of the impulse given to the ball?

3. A 0.400-kg ice puck, moving east with a speed of 5.22 m/s , has a head-on collision with a 0.990-kg puck initially at rest. Assume that the collision is perfectly elastic.

PART A: What is the speed of the 0.400-kg puck after the collision?

PART B: What ise the speed of the 0.990-kg puck after the collision?

4. Two billiard balls of equal mass undergo a perfectly elastic head-on collision.

PART A: If one ball's initial speed was 2.50 m/s , and the other's was 3.10 m/s in the opposite direction, what will be their speeds after the collision?

5. A gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet.

PART A: If the bullet has a mass of 24.2 g and a speed of 230 m/s , how high will the block rise into the air after the bullet becomes embedded in it?

Explanation / Answer

part 1 )

Impulse = change in momentum

Impulse = 0.045 * 34 = 1.53 kg . m/s

Impulse = F.t

F = Impulse /t = 392 N

part 2 )

change in the momentum in x direction = -2mvcostheta

change in the momentum in y direction = 0

Impulse = -2mvcos45 = 2.257

part 3 )

by elastic collision formula

a ) v1' = v1*(m1-m2)/(m1+m2) = -10.3356 m/s

b ) v2' = 2m1*v1/(m1+m2) = 3 m/s

part 4 )

v1f = v1*(m1-m2)/(m1+m2) + 2m2*v2i/(m1+m2)

v1f = v2i = -3.10 m/s

v2f = 2m1*v1/(m1+m2) + v2i(m2-m1)/(m1+m2)

v2f = v1i

v2f = 2.50 m/s

part 5 )

after embedded veloity of (bullet + block )

m1v1 + m2v2 = (m1 + m2) v

24.2 x 10^-3 x 230 = 1.4242 v

v = 3.908

h = v^2/2g

h = 0.779 m

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