Amachine in an ice factory is capable of exerting 3.31 × 102 n of force to pull large blocks of ice up a slope. the blocks each weigh 1.32 × 104 n. assuming there is no friction, what is the maximum angle that the slope can make with the horizontal if the machine is to be able to complete the task? answer in units of ◦ .

The maximum angle which the slope can make with the horizontal if the task is to be completed is

Given the Parameters :

The force made with the horizontal, we use the relation :

Making the subject :

Therefore, the maximum angle the slope can make with the horizontal in this scenario is

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Explanation:

Given

Force exerted by machine

Weight of Block

Considering inclination to be

After resolving Forces We get

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft

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