1 The figure shows an overhead view of a 0.028 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F₁ has a magnitude of 3 N and is at 0₁ = 31°. Force 7₂ has a magnitude of 5 N and is at 0₂ = 27°. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity ✓ = (13î – 16ĵ) m/s, and (c) has the varying velocity = (12tî - 12t)) m/s, where t is time? TEB 0₁ DI A ·x
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- 14. A 66.0 kg skier with an initial velocity of 9.30 m/s slides up a slope of 35.0° to a height of 2.50 m above where she started. The coefficient of kinetic friction is 0.0750. a. Find the force due to friction on the hill. b. Find the skier's velocity at the top of the hill. V = ? KE₁ Vi 35° 2.5 mA block of mass m = 1.85 kg is pushed a distance d = 3.15 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 32.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force.(b) Determine the work done on the block by the normal force exerted by the table.(c) Determine the work done on the block by the force of gravity.(d) Determine the work done by the net force on the block.In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?
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