Solve Physics: Calculate Force for Gloria's Sled

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To calculate the force Gloria needs to exert on the sled, the net force (Fnet) must be determined using the equation Fnet = Ftension + Fg, where Fg is the gravitational force acting on the sled. The mass of the sled and baby is 75 kg, resulting in a gravitational force of 750 N. To incorporate the 45-degree angle of the rope, the force must be resolved into components using trigonometric functions. A diagram illustrating the forces acting on the sled is recommended for clarity. This approach will help in accurately calculating the required force for the desired acceleration of 0.5 m/s².
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Physics Questions!

Homework Statement


Gloria is pulling her baby in his sled. The baby and sled have a mass of 75 kg. If she is holding the rope to the sled at a 45o angle and she wants to accelerate at 0.5 m/s2 how much force does she need to exert?



Homework Equations


d = v x t vavg = ½ (vf + vi) vf = at + vi
a = (vf - vi) / t d = vi t+ ½ at 2 vf2 = vi2 + 2ad
d = (vf2 - vi2)/2a F = ma g = acceleration due to gravity = -10 m/s2; Pressure = N/m2 = Pa




The Attempt at a Solution

 
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You must show us your attempt at a solution before we can help you. That's one of the PF rules (see the "Rules" link at the top of the page).

So how would you start this problem?
 
Well my attempt would be as followed:

Since I know the mass of 75kg and the acceleration (.5m/s2) I now know Fnet in the equation Fnet = Ftension + Fg. Now how do I incorporate an angle into this problem?
 
Resolve the force so everything is along the same line.
 
Yes but how would I go about solving the problem?
 
And then you have one force that is multiplied by some trig function, equal to some other forces. You have enough information to solve this problem. Show us some of your working out.
 
I have force due to gravity which is mg (75kg)(-10m/s^2). Do I solve for that and then use trig. I do not know?
 
NJCarter15 said:
I have force due to gravity which is mg (75kg)(-10m/s^2). Do I solve for that and then use trig. I do not know?

No, you need to work out the component of the force due to gravity that is acting on the sled. As was already said, resolve the components to one line.

Draw a diagram of exactly what is happening and what you think the forces acting upon it are, and if possible show us this diagram.
 

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