Analytical method of vector addition

AI Thread Summary
To determine the force Joe must apply to the lawn spreader, the acceleration is calculated as 0.927 m/s². The force required can be derived using Newton's second law, F=ma, where m is the mass of the spreader. Since the handle is at a 45° angle, the horizontal component of the applied force must produce the calculated acceleration. The discussion emphasizes the importance of analyzing the force components to achieve the desired motion.
cDamann
Messages
2
Reaction score
0

Homework Statement


Joe pushes on the handle of a 10 kg lawn spreader. The handle makes a 45° angle with the horizontal. Joe wishes to accelerate the spreader from rest to 1.39 m/s in 1.5s. What force must Joe apply to the handle? Neglect friction.


Homework Equations


A=Vf-Vi/t. F=ma


The Attempt at a Solution


i calculated the acceleration being 1.39-0/1.5= 0.927m/s squared.
i honestly don't know what to do next, please help.
 
Physics news on Phys.org
cDamann said:

Homework Statement


Joe pushes on the handle of a 10 kg lawn spreader. The handle makes a 45° angle with the horizontal. Joe wishes to accelerate the spreader from rest to 1.39 m/s in 1.5s. What force must Joe apply to the handle? Neglect friction.

Homework Equations


A=Vf-Vi/t. F=ma

The Attempt at a Solution


i calculated the acceleration being 1.39-0/1.5= 0.927m/s squared.
i honestly don't know what to do next, please help.
What is the direction that acceleration must have?
 
looking at a free body diagram on the page of the lawn spreader, the acceleration is going →.
 
cDamann said:
looking at a free body diagram on the page of the lawn spreader, the acceleration is going →.
Correct.

So the horizontal component of the force must be able to produce that acceleration.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
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

Force on object at angle to acceleration
Replies
3
Views
4K
Person pushes down the length of the handle of a 12.1kg
Replies
7
Views
2K
Five Force Problems: 57 Homework Problems Solved with Expert Tips
Replies
3
Views
5K
What's the Force Exerted? and how long it takes to stop
Replies
3
Views
2K
Solving a Puzzling Homework Problem: Pushing a Lawn Mower
Replies
3
Views
4K
Finding Net Force [w/ Vector Addition]
Replies
5
Views
3K
Vector addition analytical & component method
Replies
2
Views
9K
Astronaut floats outside spacecraft
Replies
38
Views
4K
Find the velocity of block a using vector method.
Replies
6
Views
1K
Need help Newtons laws two diemnsions (vertical plane)
Replies
3
Views
4K

Hot Threads

Recent Insights

Back
Top