Homework ii Due: Fribr11arj},r 22"'1 at 11:59 pm 1. A 25.0 kg box is initiallyr at rest at the bottom of a rough ramp that is inclined at an angle of 20.0\" above the horizontal. The coe'iccient of kinetic friction between the box and the ramp is 0.350. You push on the box with a constant force that points 15.0\" below the horizontal. If the box is moving with a speed of 0.3m mfs after you have pushed it 1.50 m up the ramp1 what is the magnitude of the force you exerted on the box? '2. A block with a weight of 300 N is pulled up an incline by a rope that runs parallel to the incline. The incline makes an angle of 50.0\" with the horizontal and the coe'iccient of friction between the block and the incline is 0.410. After the block has been pulled 4.0-0 m up the incline, it is traveling with a speed of 0.500 Infs. What is the average 1value of the tension force used to pu]l the block up the incline? 3. A 5.1 kg block is projected at 5.4 Infs up a plane that is inclined at 30 with the horizontal. {a} How far up the plane does the block go if the plane is frictionless? {b} How far up along the plane does the block go if the cneiiicient of kinetic friction between the block and the plane is 0.40? c If the block then slides back down the lane. what is its s when it returns to its ori 'nal P E' pro}ect' ion point? 4. A rope is tied to one end ofa 20.0-kg box that is initiallyr at rest as it sits on a horizontal surface. The coeicient of friction between the box and the surface is 0.4m. You pull on the rope with a 75.0 N force at an angle of 30.0\" above the horizontal for 5.0-0 In befole releasing the rope. Unce you let go of the rope1 the box slows to a stop. What is the total distance the box travels