What is the acceleration of the car?

[tica86]

A car is slides down an icy driveway that slopes at an angle of 10 degrees. What is the acceleration of the car?


Is the correct answer a=1.70m/s^2?
If it is can someone explain how they figure it out, thanks!

 

[Ambidext]

Forces acting on the car:

Weight = mg
Normal = mg cos 10 (deg)
Horizontal = mg sin 10

ma_car = mg sin 10

cancel out m,

a_car = g sin 10 = 1.7 m s^-2

So yes, 1.7.

 

[tica86]

Forces acting on the car:

Weight = mg
Normal = mg cos 10 (deg)
Horizontal = mg sin 10

ma_car = mg sin 10

cancel out m,

a_car = g sin 10 = 1.7 m s^-2

So yes, 1.7.

Ok, thanks. I have another question:

Find the net force (in Newtons) required to accelerate a 110 kg bike and rider from rest to a final velocity of 22.7 m/s in 10 seconds?

since f=ma 110(22.7)=2497 do I divide that by 10 seconds??

 

[The legend]

not exactly...

first solve for average acceleration using equations of motion...
then use the F=m*a and get your answer!