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A 1,500.0 kg car is ascending the ramp of a garage inclined at an angle of 10° with constant speed when force is applied in going up. Determine the magnitude of this force if the coefficient of friction is 0.7000.

User Dayuloli
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To determine the magnitude of the force required to pull the car up the inclined ramp, use the formula F = mg(sin(theta) + mu*cos(theta)), where F is the force applied to the car, m is the mass of the car, g is the acceleration due to gravity, theta is the angle of the ramp, and mu is the coefficient of friction. Using the given values, calculate the force to be approximately 14556 N.

To determine the magnitude of the force required to pull the car up the inclined ramp, we need to understand the forces acting on the car. The force applied to the car can be determined using the formula:

F = mg(sin(theta) + mu*cos(theta))

F: Force applied to the car

m: Mass of the car

g: Acceleration due to gravity

theta: Angle of the ramp

mu: Coefficient of friction

Plugging in the given values for mass (1500.0 kg), angle (10°), and coefficient of friction (0.7000), we can calculate the force as follows:

F = (1500.0 kg)(9.8 m/s²)(sin(10°) + 0.7000*cos(10°))

Simplifying the equation gives us:

F = 14556 N

Therefore, the magnitude of the force required to pull the car up the inclined ramp is approximately 14556 N.

User Shannen
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