1.An 8-kilogram bowling ball is rolling in a straight line toward you. If its momentum is 16 kg•m/s, how fast is it traveling?

2.A beach ball is rolling in a straight line toward you at a speed of 0.5 m/sec. Its momentum is 0.25 kg•m/s. What is the mass of the beach ball?

3.A 4,000-kilogram truck travels in a straight line at 10.0 m/s. What is its momentum?
Momentum = (mass) x (speed) = (4,000) x (10) = 40,000 kilogram-meters/second
4.A 1,400-kilogram car is also traveling in a straight line. Its momentum is equal to that of the truck in the previous question. What is the velocity of the car?

5.Which would take more force to stop in 10 seconds: an 8.0-kilogram ball rolling in a straight line at a speed of 0.2 m/s or a 4.0-kilogram ball rolling along the same path at a speed of 1.0 m/s?

6.The momentum of a car traveling in a straight line at 20 m/s is 24,500 kg•m/s. What is the car’s mass?

7.Another pitcher throws the same baseball in a straight line. Its momentum is 2.1 kg•m/s. What is the velocity of the ball?

8 A 1-kilogram turtle crawls in a straight line at a speed of 0.01 m/s. What is the turtle’s momentum?



Answer :

1. An 8-kilogram bowling ball is rolling in a straight line toward you. If its momentum is 16 kg•m/s, how fast is it traveling?
 
momentum = mass x velocity
16 = 8 x velocity
velocity = 2 m/s

2.A beach ball is rolling in a straight line toward you at a speed of 0.5 m/sec. Its momentum is 0.25 kg•m/s. What is the mass of the beach ball?

momentum = mass x velocity
0.25 = m x 0.5
mass = 0.5 kg

3.A 4,000-kilogram truck travels in a straight line at 10.0 m/s. What is its momentum?
Momentum = (mass) x (speed) = (4,000) x (10) = 40,000 kilogram-meters/second

4.A 1,400-kilogram car is also traveling in a straight line. Its momentum is equal to that of the truck in the previous question. What is the velocity of the car?

40,000 kilogram-meters/second = 1400 x velocity
velocity = 28.6 m/s

5.Which would take more force to stop in 10 seconds: an 8.0-kilogram ball rolling in a straight line at a speed of 0.2 m/s or a 4.0-kilogram ball rolling along the same path at a speed of 1.0 m/s?

F1 = 8 x  0.2 / 10 = 0.16 N
F2 = 4 x 1.0 / 10 = 0.4 N ----> take more force

6.The momentum of a car traveling in a straight line at 20 m/s is 24,500 kg•m/s. What is the car’s mass?

24500 = mass x 20
mass = 1225 kg

7.Another pitcher throws the same baseball in a straight line. Its momentum is 2.1 kg•m/s. What is the velocity of the ball?

2.1 = 0.5 x velocity
velocity = 4.2 m/s

8 A 1-kilogram turtle crawls in a straight line at a speed of 0.01 m/s. What is the turtle’s momentum?

momentum = 1 x 0.01 = 0.01 kg m/s

The momentum is given as the product of mass and velocity.

1) mass (m) = 8 Kg

momentum(p) = 16 kg•m/s

velocity(v) = ?

p = mv

v =p/m

v = 16 kg•m/s/8 Kg

v = 2 m/s

2) p = mv

m = ?

v =  0.5 m/sec

p = 0.25 kg•m/s

m = p/v

m = 0.25 kg•m/s/0.5 m/sec

m = 0.5 Kg

3) p = mv

m =  4,000-kilogram

v = 10.0 m/s

p = 4000 Kg × 10.0 m/s

p = 40000 Kg.m/s

4) m =  1,400-kilogram

v = ?

p = 40000 Kg.m/s

v = p/m

v =  40000 Kg.m/s/1,400-kilogram

v = 28.57 m/s

5) a = v - u/t

v = 0 m/s

u = 0.2 m/s

t = 10 s

a =  0 m/s - 0.2 m/s /10 s

a = -0.02 m/s^2

F = ma

F = 8 Kg × -0.02 m/s^2

F = - 0.16 N

Also;

a = v - u/t

v = 0 m/s

u = 1.0 m/s

t = 10 s

a = 0 - 1.0 m/s/10 s

a = -0.1 m/s^2

F = ma

F = 4 Kg × -0.1 m/s^2

F = -0.4 N

The 4.0-kilogram ball rolling along the same path at a speed of 1.0 m/s will take a greater force to stop.

6) p = mv

p = 24,500 kg•m/s

v = 20 m/s

m = ?

m = p/v

m = 24,500 kg•m/s/20 m/s

m = 1225 Kg

7) p = 2.1 kg•m/s

m = 1225 Kg

v = ?

p = mv

v = p/m

v = 2.1 kg•m/s/1225 Kg

v = 0.0017 m/s

8) p = mv

p = ?

m = 1-kilogram

v = 0.01 m/s

p = 1-kilogram  × 0.01 m/s

p = 0.01 Kg.m/s

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