How Do You Calculate the Force Exerted by a Shopper on a Grocery Cart?

AI Thread Summary
To calculate the force exerted by a shopper on a grocery cart, the scenario involves pushing against a frictional force of 35.0 N while moving 20.0 m at a constant speed. The shopper applies force at an angle of 25.0º below the horizontal, which complicates the calculations. The mass of the cart is crucial for determining the gravitational force components, but the discussion highlights that gravity's vertical force does not directly affect horizontal motion on level ground. The focus should be on the horizontal component of the applied force, which must overcome friction to maintain constant speed. Understanding these dynamics is essential for applying energy considerations effectively in this context.
crysland
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A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N frictional force. He pushes in a direction 25.0º below the horizontal.

Find the force the shopper exerts, using energy considerations.

I got stuck on this because they don't give the mass of the cart.
 
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How would you use the mass of the cart? Suppose it were given, what equations would you apply?
(I find it strange that they ask you to use energy considerations though.)
 
I need to find the x-component of the weight so I need to know the mass.
 
crysland said:
I need to find the x-component of the weight so I need to know the mass.
What x component? Gravity acts vertically and this is a horizontal surface. It's the force applied by the pusher that is not horizontal.
 
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