Suppose that a 14-m tall platform has a ramp that is 98 m long. If a box needs 245 N of force of lift it, how many N of force is required to push it up the ramp?
what is 245*14/98 ?
35
To determine the force required to push the box up the ramp, we need to consider its weight. Weight is equal to the force of gravity acting on an object, and it can be calculated using the formula:
Weight = mass × acceleration due to gravity
We can assume that the acceleration due to gravity is approximately 9.8 m/s² on Earth. The mass of an object can be calculated using the formula:
Mass = Weight / acceleration due to gravity
From the given information, we know that the force required to lift the box is 245 N. Therefore, we can calculate the weight and mass of the box:
Weight = 245 N
Mass = Weight / acceleration due to gravity = 245 N / 9.8 m/s² ≈ 25 kg
Now, to calculate the force required to push the box up the ramp, we need to consider the angle of inclination of the ramp. If we assume the ramp forms a right triangle with the platform, we can use trigonometry to find the force required.
The ramp is given to be 98 m long and the platform is 14 m tall. By dividing the height of the platform by the length of the ramp, we can find the sine of the angle:
sin(θ) = height of platform / length of ramp = 14 m / 98 m ≈ 0.143
Next, we can use the sine of the angle to calculate the force required to push the box up the ramp:
Force required to push the box = Weight × sin(θ)
Force required to push the box = 25 kg × 9.8 m/s² × 0.143 ≈ 35.8 N
Therefore, approximately 35.8 N of force is required to push the box up the ramp.