What Force must be exerted on the trolley for constant speed?

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In summary, to maintain constant speed on a trolley, the force exerted must equal the opposing forces, such as friction and air resistance. This means that the net force acting on the trolley should be zero, allowing it to move at a steady velocity without acceleration.
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chwala
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Homework Statement
See attached.
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My question is on the highlighted part in red.

1717283058571.png



For the first part i have,

##F_{parallel} = 900 \cos 82^0 = 125.3N##

For the second part, i have

##F= \dfrac{125.3}{\cos 15^0} = 129.7 N ≈130N##
 
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chwala said:
For the first part i have,

##F_{parallel} = 900 \cos 82^0 = 125.3N##

For the second part, i have

##F= \dfrac{125.3}{\cos 15^0} = 129.7^0 N ≈130N##
Those answers look right to me. (I guess there is no friction). However, based on what you've written, we can't tell if you thought through it correctly.
 
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FAQ: What Force must be exerted on the trolley for constant speed?

1. What is meant by constant speed in the context of a trolley?

Constant speed refers to the condition where the trolley moves at a uniform velocity, meaning it covers equal distances in equal intervals of time without accelerating or decelerating. In this scenario, the net force acting on the trolley is zero, as the forces are balanced.

2. What forces act on a trolley moving at constant speed?

When a trolley is moving at constant speed, several forces may be acting on it, including gravitational force, normal force, frictional force, and any applied force. The applied force must exactly balance the frictional force to maintain constant speed.

3. How do you determine the force needed to maintain constant speed?

To determine the force required to maintain constant speed, you need to consider the opposing forces, primarily friction. The applied force must equal the frictional force acting against the motion of the trolley. This can be calculated using the formula: F_applied = F_friction.

4. Does the mass of the trolley affect the force required for constant speed?

Yes, the mass of the trolley affects the force required to maintain constant speed. A heavier trolley will experience greater gravitational force, which can lead to increased frictional force if the surface conditions remain the same. Therefore, more applied force will be needed to overcome this friction and maintain constant speed.

5. What role does surface type play in determining the force needed for constant speed?

The surface type significantly influences the frictional force acting on the trolley. Different surfaces have different coefficients of friction, which determine how much force is required to overcome friction. A rough surface will generate more friction, requiring a greater force to maintain constant speed compared to a smooth surface.

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