How Much Force Is Needed to Accelerate a 35kg Mass Up a 25 Degree Incline?

[bgoble]

i have a question on what fromula i would need to do this problem i have been trying for thje last half hour and have come up with little to nothing

What force would be needed to accelerate a 35 kg mass up a 25 degree incline at 3 m/s/s if the coefficient of friction is .11?

i drew a FBD with triangle and the inner right triangle with sin and cos. I've tried F=ma and can't come up with anything. i need and answer very soon please, if possible.its a take home test:)

 

[BishopUser]

The only formula you need is Fnet = ma. What does all your work look like?

 

[kyle8921]

To solve this problem, you would need to use the formula F=ma, where F is the force, m is the mass, and a is the acceleration. In this case, the mass is given as 35 kg and the acceleration is given as 3 m/s/s. Therefore, the force needed to accelerate the mass would be F=35 kg x 3 m/s/s = 105 N.

However, since the mass is moving up an incline, you also need to take into account the force of friction. The formula for friction is Ff=μN, where μ is the coefficient of friction and N is the normal force. In this case, the normal force would be equal to the weight of the mass, which is mg, where g is the acceleration due to gravity (9.8 m/s/s). Therefore, the force of friction would be Ff=0.11 x 35 kg x 9.8 m/s/s = 38.85 N.

To find the total force needed to accelerate the mass up the incline, you would need to add the force of friction to the force needed for acceleration. Therefore, the total force would be 105 N + 38.85 N = 143.85 N.

I hope this helps you solve the problem. Remember to always carefully read the given information and use the appropriate formulas to solve the problem. Good luck on your test!