2. A bicycle has a momentum of 24 kg·m/s, what momentum would the bicycle have i

Question

2. A bicycle has a momentum of 24 kg·m/s, what momentum would the bicycle have if it had … a. Twice the mass and was moving at the same speed? b. The same mass and was moving with twice the speed? c. One-half the mass and was moving with twice the speed? d. The same mass and was moving with one-half the speed? e. Three times the mass and was moving with one-half the speed? f. Three times the mass and was moving with twice the speed? 3. According to the Guinness Book of World Records, the fastest recorded baseball pitch was delivered by Nolan Ryan in 1974. The pitch was clocked at 100.9 mi/hr. Determine the impulse required to give a 145.0 grams baseball such a momentum.

Explanation / Answer

Q2.

We know that momentum is

M*V

where M is the mass of the object and V is the velocity with which it is moving.

Here we have been given momentum to be 24.

M*V=24

a)

if the mass if double with same velocity, mass will be 2M

So

p=2M*V

p=2*24

p=48

b)

same mass but twice the speed,

p=M*2V

p=2*24

=48

c)

mass will be M/2 and speed is 2V

p=(M/2)*2V

p=24

d)

Mass is M and velcoty is V/2

p=M*V/2

=12

e)

mass is 3M and velocity is 1/2V

So p=3M*V/2

p=36

f)mass is 3M and velocity is 2V

p=6MV

p=144

Q2.

momentum is M*V

where M is the mass and V is the velocity

V=100.9mi/hr

or 45.106m/s

M=145 grams or 0.145kg

so momentum will be

p=45.106*.145

6.54037 Kg-m/s

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