Calculate Change in Momentum of 4.8 kg Mass Launched at 55°

In summary, an object of mass 4.8 kg is projected at a 55° angle and hits the ground 3.6 seconds later. The magnitude of its change in momentum while in the air can be found by using the equation J = p = mΔv. However, since momentum remains conserved along the horizontal axis, there is no change in momentum in that direction. The change in momentum comes from the varying vertical component of the object's velocity as it is projected upward and then falls back down. After accounting for the effects of gravity, the magnitude of the change in momentum is twice the product of the mass, sine of the angle, and the acceleration due to gravity. In this case, the answer is
  • #1
omc1
100
0

Homework Statement

An object of mass 4.8 kg is projected into the air at a 55° angle. It hits the ground 3.6 s later. What is the magnitude of its change in momentum while it is in the air? Ignore air resistance

Homework Equations

J=p =sumF Δt=mΔv


The Attempt at a Solution

mvsine(theta) = mgt v=43.07 m/s p=mv = 206.74 kg m/s but its says that's wrong i tried it a dif way but got the same answer please help...
 
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  • #2
hello omc1 ,
If you notice momentum will remain conserved along horizontal axis . ie component of velocity along horizontal axis will remain same throughout .
So it will not cause any change in momentum .
Then what will cause a change in momentum ?
When you project the mass upward , the vertical component of mass will vary , and you might also know it will come back with the same speed with which it was thrown .
Try to find out this change
 
  • #3
so msin(theta)gt=p ??
 
  • #4
twice of that
 
  • #5
when i did that it is still giving me a wrong answer ...277.44
 
  • #6
With no air resistance, horizontal speed doesn't change and and vertical speed, once the object has hit the ground, will have the same magnitude but opposite sign.
 
  • #7
the neg of that answer doesn't work either...
 

1. What is momentum?

Momentum is a measure of an object's motion, determined by its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.

2. How do you calculate momentum?

Momentum is calculated by multiplying an object's mass by its velocity. The formula for momentum is: p = mv, where p is momentum, m is mass, and v is velocity.

3. What does the change in momentum represent?

The change in momentum represents the force applied to an object over a period of time. It is also known as impulse and is measured in Newton-seconds (N∙s).

4. How do you calculate the change in momentum of a launched object?

To calculate the change in momentum of a launched object, you need to know the mass of the object, the angle at which it is launched, and its initial velocity. The formula for change in momentum is: Δp = mΔv = mvf - mvi, where Δp is change in momentum, m is mass, and vf and vi are final and initial velocities, respectively.

5. What units are used to measure momentum and change in momentum?

Momentum is measured in kilogram-meters per second (kg∙m/s), while change in momentum is measured in Newton-seconds (N∙s).

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