Calculate Height of Ball After Leaving Hand: 7.2 m

  • Thread starter Thread starter Cantworkit
  • Start date Start date
  • Tags Tags
    Force Motion
AI Thread Summary
The problem involves calculating the height a 200-g ball reaches after being thrown with an upward force of 9.4 N for 0.32 seconds. The net acceleration is calculated as 47 m/s², leading to an initial velocity of 15 m/s. Using the kinematic equation for height, the calculated height is 11.5 m, which differs from the book's answer of 7.2 m. The discussion raises the question of whether to use the upward acceleration or the net acceleration for the calculation. Clarifying this distinction is crucial for arriving at the correct answer.
Cantworkit
Messages
12
Reaction score
0

Homework Statement


In throwing a 200-g ball, one's hand exerts a constant upward force of 9.4 N for 0.32 s. How high does the ball rise after leaving the hand? Book answer is 7.2 m.


Homework Equations


F = ma
v = v0 + at
y - y0 = v^2/2g

The Attempt at a Solution



Fup + Fdn = Fnet
aup = Fup/m = 9.4 kg-m/s^2/200g*1000g/kg = 47 m/s^2
v0 = at = 47m/s^2 * 0.32s = 15 m/s
y-y0 = v0^2/2g = (15)^2/2 * 9.8 = 11.5 m
 
Physics news on Phys.org
Which should you use: aup or anet?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Average force and angle, collision problem
Replies
23
Views
3K
Angular Momentum of a Ball at Half Height
Replies
9
Views
4K
Projectile Motion: Pitcher throwing a ball to a catcher
Replies
2
Views
2K
Conservation of motion and basketball shot
Replies
3
Views
6K
Calculating Mass of Cannon Ball with Given Velocity Using Work-Energy Theorem
Replies
3
Views
1K
How Does Projectile Motion Affect a Ball Thrown Upward from a Building?
Replies
3
Views
10K
How do i account for the height for projectile motion
Replies
7
Views
3K
A ball being hit, find the energies and maximum height
Replies
9
Views
2K
Force and Velocity to find Mass (via soccer)
Replies
10
Views
2K
Determining height of powerline by throwing ball upward
Replies
2
Views
11K

Hot Threads

Recent Insights

Back
Top