Find the magnitude of the horizantal force

  • Thread starter Thread starter dg_5021
  • Start date Start date
  • Tags Tags
    Force Magnitude
AI Thread Summary
To find the horizontal force needed to accelerate a 7.5-kg shopping cart up a 13-degree incline at 1.41 m/s², the gravitational force acting on the cart must be considered. The force of gravity acting down the incline is calculated using the formula F_gravity = m * g * sin(θ), where m is the mass, g is the acceleration due to gravity, and θ is the incline angle. The net force required for the desired acceleration is determined by F_net = m * a, where a is the acceleration. The total horizontal force F must overcome both the gravitational component and provide the necessary net force. The correct calculation leads to a horizontal force of 28 N, as stated in the book.
dg_5021
Messages
80
Reaction score
0
Hey can someone please help me with this problem. accorning to the back of the book the answer is 28N. I tried doing this first multipling 1.41*7.5 = 10.575. Then i used this formula 10.575cos(13)= but i got 9.59625.
Am I missing a step, please help?

Problem:
a shopper pushes a 7.5-kg shopping cart up a 13 incline. Find the magnitude of the horizantal force, F, needed to give the cart an acceleration of 1.41 m/s2.
 
Physics news on Phys.org
someone please help?
 
You need to account for the fact that gravity is tending to accelerate the shopping cart downhill. :-)
 

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

Calculating Horizontal Force to Accelerate Shopping Cart
Replies
13
Views
5K
Push/Pull Force of wheeled cart on an incline
Replies
7
Views
4K
Finding force with trig functions
Replies
1
Views
12K
The vector nature of forces hw ?
Replies
1
Views
2K
What is the Required Horizontal Force for a Shopping Cart on an Inclined Plane?
Replies
2
Views
5K
Find the magnitude of the electric force from 3 charges at vertices of a cube
Replies
17
Views
2K
A misconception I have about impulse formula interpretation
Replies
2
Views
2K
Solving Cart Force Question: Magnitude & Direction
Replies
21
Views
7K
Work done on a shopping cart by friction when being pushed
Replies
4
Views
3K
Two blocks in contact -- find the force between them
Replies
14
Views
2K

Hot Threads

Recent Insights

Back
Top