Reference no: EM131242158
1. A 5.76 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F = 10.10 N at an angle θ = 18.5° above the horizontal as shown. What is the speed of the block 6.20 seconds after it starts moving?
2. A person stands on a bathroom scale in an elevator and reads a weight of 611.5 N. What is the acceleration of the elevator if the person's mass is 53.0 kg? Make sure to include the correct sign in your answer, for the direction of the acceleration.
3. The same person tries another experiment, using an accelerometer app on a mobile phone during a different elevator ride. The app shows an acceleration of +2.87 m/s2. What is the force exerted by the legs on the person's upper body, assuming that the legs are 32% of the person's mass?
4. A mass of 24.0 kg is suspended by a massless string from the ceiling of a van which is moving with constant acceleration, a. If the string makes an angle θ = 11° with respect to the vertical, what is the acceleration of the van?
5. What is the tension in the string?
6. A block weighing 74.9 N rests on a plane inclined at θ = 26.4° to the horizontal. The coefficients of static and kinetic friction are 0.240 and 0.100, resp. What minimal force F, parallel to the plane, will keep the block from slipping?
7. What is the minimum magnitude of F that will start the block moving up the plane?
8. What is the magnitude of F required to move the block up the plane at constant velocity?
9. A 11.10 kg push mower is being moved at constant speed by applying a force of F = 78 N along the handle, which is at an angle θ = 43° to the horizontal. Draw the free body diagram. Calculate the horizontal friction force acting on the mower.
10. What is the normal force exerted on the mower by the ground?
11. What force on the push mower handle is required to accelerate it from rest to 1.1 m/s in 2.2 s, assuming the same friction force?
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