Momentum. This questions has to be incorrect. Can't figure it out.

In summary: If they want the former you have to do some more kinematic equations to find the velocity on the way down and use that in the same way you used the 6.0m/s. So in summary, the initial momentum of the ball is 3.1 N.s, the momentum at the peak is 0 kg m/s, the momentum when the ball hits the ground is not specified, and the change in momentum as the ball comes back to its original position is -6.2 N.s. This problem involves kinematics and the use of the equation p=mv to determine momentum at different points in the ball's motion.
  • #1
Underdog_85
10
0
1. A ball weighing 520g is thrown straight up at 6.0m/s
a) What is the initial momentum of the ball in N.s




2. p=mv



=520g(1kg/1000g)(6.0m/s)
=3.12
=3.1 N.s


I don't see how this is correct because it takes kg.m.s^2 to create a Newton. There is none here.

Then we go on to

B)What is the momentum when the ball is at peak?
p=mv
=520g(1kg/1000g)(0 m/s)
=0 kg m/s

C)What is the momentum of the ball when it hits the ground?
No idea how to even go about doing C).. This one through me for a loop.

D)What is the change in momentum as the ball comes back to its original position?
P=m(Vf-Vi)
P=520g(1kg/1000g)(-6.0m/s - 6.0m/s)
=-6.24
=-6.2N.s

Any help be greatly appreciated. Thank you.
 
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  • #2
a) N.s = s.kg.m/s^2 = kg.m/s which are the correct units for momentum.
b) looks right
c) you already figured this out in part d
d) looks right
 
  • #3
Ok this problem is interesting. For starters the units they ask for are N.s so Newton*seconds. a Newton is 1kg*m/s^2. So 1Kg*m/s^2 *s=1Kg*m/s which is the correct unit for momentum. So there is nothing wrong with saying a momentum is the same thing as a Newton second. (If you want me to explain that more that's fine). Moving on. you did b correctly. c. start by using kinematics to determine how far up the ball initially traveling at 6m/s with a downward acceleration of 9.81m/s^2 acting upon it, to reach its peak (final velocity=0). Then use more kinematics to determine how fast the ball is moving when it falls from zero initial velocity at a height of h (the peak height you determined) to the ground. d. When you get that velocity multiply it by the mass and that would give you the momentum on the way down. so find the difference of when the ball is at the peak and when the ball almost hits the ground. I think that's what part d is asking. I am not quite sure if it wants the change of momentum from the peak to almost hitting the ground. or from the initial toss of the ball to the ball returning to the ground.
 

FAQ: Momentum. This questions has to be incorrect. Can't figure it out.

What is the definition of Momentum?

Momentum is a physics concept that refers to the quantity of motion an object has. It is defined as the product of an object's mass and velocity.

How is Momentum calculated?

Momentum is calculated by multiplying an object's mass by its velocity. The formula for momentum is: momentum = mass x velocity.

Is Momentum a vector or a scalar quantity?

Momentum is a vector quantity, meaning it has both magnitude and direction. The direction of an object's momentum is the same as its velocity.

What is the law of conservation of Momentum?

The law of conservation of Momentum states that the total momentum of a closed system remains constant, regardless of any external forces acting on the system. In other words, the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction.

How is Momentum related to Newton's laws of motion?

Momentum is directly related to Newton's laws of motion. Specifically, the second law of motion states that the net force acting on an object is equal to the rate of change of its momentum. This means that a larger force will result in a greater change in an object's momentum, and vice versa.

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