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Vlad [161]
3 years ago
6

An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Determine the net force a

cting on the object:
Physics
1 answer:
KengaRu [80]3 years ago
3 0

Explanation:

Draw a free body diagram.  There are two forces: weight force pulling down and air resistance pushing up.

Sum the forces in the y direction:

∑F = 50 N − (30 kg) (10 m/s²)

∑F = -250 N

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A uniform solid disk with a mass of 24.3 kg and a radius of 0.364 m is free to rotate about a frictionless axle. Forces of 90.0
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Answer:

a. -12.7 Nm

b. -7.9 rad/s^2

Explanation:

I have attached an illustration of a solid disk with the respective forces applied, as stated in this question.

Forces applied to the solid disk include:

F_1 = 90.0N\\F_2 = 125N

Other parameters given include:

Mass of solid disk, M = 24.3kg

and radius of solid disk, r = 0.364m

a.) The formula for determining torque (T), is T = r * F

Hence the net torque produced by the two forces is given as a summation of both forces:

T = T_{125} + T_{90}\\= -r(125)sin90 + r(90)sin90\\= 0.364(-125 + 90)\\= -12.7 Nm

b.)  The angular acceleration of the disk can be found thus:

using the formula for the Moment of Inertia of a solid disk;

I_{disk} = {\frac{1}{2}}Mr^2

where M = Mass of solid disk

and r = radius of solid disk

We then relate the torque and angular acceleration (\alpha) with the formula:

T = I\alpha \\-12.7 = ({\frac{1}{2}}Mr^2)\alpha \\\alpha  = -{\frac{12.7}{1.61}} = -7.9 rad/s^2

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3 years ago
A car achieves a velocity 50 meters per second after 5 seconds. What is the Car's acceleration?
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