Question

If a car rolls down a ramp with a slope of 20 degrees (no applied force), how much force (gravity) is put on the car, and how fast does it accelerate, assuming that it has a mass of 100g?

Answer 1

The force acting on the car rolling down a 20-degree ramp is 0.98 N, and it accelerates at a rate of 9.8 m/s^2.

Step-by-step explanation:

When a car rolls down a ramp with a slope of 20 degrees, the force acting on the car is the force of gravity. The force of gravity can be calculated using the equation:

Force = mass x acceleration due to gravity

Given that the mass of the car is 100g (0.1kg) and the acceleration due to gravity is approximately 9.8 m/s^2, the force acting on the car is:

Force = 0.1kg x 9.8m/s^2 = 0.98 N

Since no other forces are applied on the car, it will accelerate due to the force of gravity. The acceleration of the car can be calculated using the equation:

Acceleration = force / mass

Substituting in the values, we get:

Acceleration = 0.98 N / 0.1 kg = 9.8 m/s^2

Therefore, the force acting on the car is 0.98 N and it accelerates at 9.8 m/s^2.