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Question

The $1360-\mathrm{kg}$ car travels along a straight road of increasing grade whose vertical profile is given by the equation shown. The magnitude of the car's velocity is a constant $100 \mathrm{~km} / \mathrm{h}$. When $x=200 \mathrm{~m}$, what are the $x$ and $y$ components of the total force acting on the car (including its weight)?

Strategy: You know that the tangential component of the car's acceleration is zero. You can use this condition together with the equation for the profile of the road to determine the $x$ and $y$ components of the car's acceleration.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 16**Given:**

- Mass of the car: $m = 1360 \text{ kg}$
- Magnitude of the car's velocity: $v= 100 \frac{\text{km}}{\text{hr}}$
- Desired $x$-position: $x = 200 \text{ m}$

**Required:**

- x-component of the total force: $\sum{F_x}$
- y-component of the total force: $\sum{F_y}$

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