suppose your car is on a 5% grade,if your car weighs 15,000N what is the component of its weight parallel to the road?
15000*cos(arctan(.05)) = 14981
In magnetic induction,if the end of an iron bar is in contact with N-pole of a magnet,south pole develops on the side of the iron bar at contact.
To find the component of the car's weight parallel to the road, you need to calculate the force due to gravity acting on the car and then calculate its parallel component. Here's how you can do it:
1. Calculate the force due to gravity (weight) acting on the car:
Weight = mass * gravitational acceleration
In this case, the weight is given as 15,000 Newtons (N).
2. Determine the mass of the car:
Since weight = mass * gravitational acceleration, we can rearrange the formula:
Mass = Weight / gravitational acceleration
The standard gravitational acceleration is approximately 9.8 m/s².
Mass = 15,000 N / 9.8 m/s²
3. Calculate the parallel component of the weight:
To determine the component of the car's weight parallel to the road, we need to multiply the weight by the sine of the angle of the grade. In this case, the grade is given as 5%.
Parallel component = Weight * sin(angle)
Convert the angle from a percentage to radians by dividing by 100:
Angle = 5% / 100 = 0.05 radians
Parallel component = 15,000 N * sin(0.05 radians)
4. Calculate the final result:
Use a scientific calculator to find the sine of 0.05 radians and multiply it by the weight:
Parallel component = 15,000 N * sin(0.05 radians)
Once you perform these calculations, you will have the component of the car's weight parallel to the road.