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(b) If the mass of the barge is 1700 kg and there is a constant frictional force of 281 N acting, then calculate the acceleration of the barge. (3).
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1. A barge is pulled along a canal with the aid of a horse on each bank.
(a) Find the size and direction of the resultant force acting on the barge. (3)
(b) If the mass of the barge is 1700 kg and there is a constant frictional force of 281 N acting, then calculate the acceleration of the barge. (3)
(c) If the horse on the south bank now pulls with the same size of force but at an angle of only 10^0 , then the barge will go off course. Using scale diagram or otherwise. Calculate the size of force and direction that the barge will now take. (5)
2. An object of mass 5 kg is moving down a slope inclined at 20^0 to the horizontal with a constant speed of 3 ms-1.
(a) Calculate the component of weight acting down the slope. (3)
(b) State the force of friction acting up the slope. Justify your answer. (2)
5 kg
200
3 ms-^1
BARGE
450 450
NORTH BANK
SOUTH BANK
800 N
800 N
HORSE
HORSE
3. A trolley of mass 2.0kg is catapulted up a slope. The slope is at an angle of 20o to the horizontal. The velocity of the trolley when it loses contact with the catapult is 3.0ms-1.
The size of the force of friction acting on the trolley as it moves up the slope is 1.3N.
a) Calculate the component of the weight of the trolley acting parallel to the slope. (3)
b) Draw a diagram showing the forces acting on the trolley as it moves up the slope and is no longer in contact with the catapult. (2)
c) Calculate the acceleration of the trolley as it moves up the slope. (3)