A rope is used to raise a 3.5 kg box up a tower at an acceleration of +0.4m/s ^2, where the positive sign indicates the upward direction. The tower is 30 m high, and the box starts from rest at the base. - a.) Calculate the magnitude of the net force on the box - b.) Calculate the tension in the rope - c.) 10 meters from the top the rope breaks and the box falls down to the ground below. Calculate the speed of the box when it lands at the base of the tower. ( Hint: the box is moving when the rope breaks).
1.) A rope is used to raise a 3.5 kg box up a tower at an acceleration of +0.4m/s ^2, where the positive sign indicates the upward direction. The tower is 30 m high, and the box starts from rest at the base.
- a.) Calculate the magnitude of the net force on the box
- b.) Calculate the tension in the rope
- c.) 10 meters from the top the rope breaks and the box falls down to the ground below. Calculate the speed of the box when it lands at the base of the tower. ( Hint: the box is moving when the rope breaks).
2.) From the top of a castle wall, an archer fires an arrow with an initial speed of 35m/s aimed 30 degrees above the horizontal. The arrow lands in a flat field, 124 m from the base of the castle wall. Calculate the height of the wall.
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