Momentum when object is thrown at angle

In summary, a student standing on a stationary skateboard tosses a 1.05 kg textbook to a friend with a combined mass of 104 kg. The book leaves the student's hand at a velocity of 2.25 m/s at an angle of 22 degrees with respect to the horizontal. The question asks for an expression for the magnitude of the velocity the student has after throwing the book. The correct equation is mt(vb)cos(30)=mc(v), where the angle of 30 comes from converting the given angle of 22 degrees to the horizontal component of the velocity.
  • #1
jorcrobe
12
0

Homework Statement



A student standing on a stationary skateboard tosses a textbook, mt = 1.05 kg, to a friend standing in front of him. The student and the skateboard have a combined mass of mc = 104 kg and the book leaves his hand at a velocity of 2.25 m/s at and angle of 22 degrees with respect to the horizontal.

Randomized Variables
mt = 1.05 kg
mc = 104 kg
Vb = 2.25 m/s
θ = 22 degrees.

what is an expression for the magnitude of the velocity the student has, Vs, after throwing the book?

Homework Equations





The Attempt at a Solution



I thought that the momentum would be equal and opposite, so I set:

mt(vb)=mc(v)

solved for v, and got .023

I feel as if I am working this terribly wrong.
 
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  • #2
Momentum is a vector. It has components (vertical, horizontal). The book is thrown at an angle to the horizontal. The vertical component won't do much since it's directed into the Earth. What does that leave you with?
 
  • #3
mt(vb)cos(30)=mc(v)

?
 
  • #4
jorcrobe said:
mt(vb)cos(30)=mc(v)

?

That looks promising, but where did the "30" come from?
 
  • #5
gneill said:
That looks promising, but where did the "30" come from?

Good question. deg 22*


Thanks a bunch!
 

1. What is momentum when an object is thrown at an angle?

Momentum is a measurement of an object's motion and is calculated by multiplying its mass and velocity. When an object is thrown at an angle, its momentum is influenced by both its horizontal and vertical velocity.

2. How does the angle of a thrown object affect its momentum?

The angle of a thrown object affects its momentum by determining the direction and magnitude of its velocity. A higher angle will result in a greater vertical velocity and therefore a greater overall momentum.

3. Is momentum conserved when an object is thrown at an angle?

Yes, momentum is always conserved in a closed system. This means that the total momentum of the object before and after it is thrown at an angle will remain the same, even if the direction and magnitude of its velocity change.

4. How can we calculate the momentum of an object thrown at an angle?

To calculate the momentum of an object thrown at an angle, we can use the formula p = mv, where p is momentum, m is mass, and v is velocity. The velocity in this case will be the vector sum of the object's horizontal and vertical velocities.

5. What is the relationship between momentum and the angle of an object thrown at an angle?

The relationship between momentum and the angle of an object thrown at an angle is that as the angle increases, the magnitude of the momentum also increases. This is because a higher angle results in a greater overall velocity, and therefore a greater momentum.

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