1. A ball of mass 30 g moving with a speed of V m/s strikes and lodges inside a

Question

1. A ball of mass 30 g moving with a speed of V m/s strikes and lodges inside a ballistic pendulum of mass 300 g. The pendulum swings to a height of 4.00 cm. What is the initial speed (V) of the ball?

a. 1

b. 2

2. A ball of mass 34 g moving with a speed of 3 m/s strikes and lodges inside a ballistic pendulum of mass 431 g. How high will the pendulum swing (in cm).

3. Which of the following is an example of an Elastic Collision?

b. 2

2. A ball of mass 34 g moving with a speed of 3 m/s strikes and lodges inside a ballistic pendulum of mass 431 g. How high will the pendulum swing (in cm).

3. Which of the following is an example of an Elastic Collision?

a. Air molecules collide with each other b. Two people collide with each other c. Two cars collide with each other d . A ball is hit with a bat

Explanation / Answer

1) for the ball

let the speed of the pendulum just after collision is u

Using conservation of energy

m * 9.8 * 0.04 = 0.50 * m * u^2

u = 0.89 m/s

Now, for speed of bullet ,

Using conservation of momentum

(300 + 30) * 0.89 = 30 * V

V = 9.74 m/s

the initial speed of the ball is 9.74 m/s

2)

after the collision

(34 + 431) * v = 34 * 3

v = 0.22 m/s

Now, for the height

Using conservation of energy

m * 9.8 *h = 0.50 * m * 0.22^2

h = 0.00246 m = 0.25 cm

the height is 0.25 cm

3)

for the elastic collision

a) Air molecules collide with each other

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