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- 1) A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 134 N at an angle of 28.0° above the horizontal. The box has a mass of 20.0 kg, and the coefficient of kinetic friction between the box and floor is 0.300. (a) Find the acceleration of the box. ______ m/s2(b) The student now starts moving the box up a 10.0° incline, keeping her 134 N force directed at 28.0° above the line of the incline. If the coefficient of friction is unchanged, what is the new acceleration of the box? ________ m/s2, up the incline 2) Neglecting frictional forces on the trailer, determine the following. (Indicate the direction with the sign of your answer. Take the forward direction to be positive.) (a) the net force on the car _______ N(b) the net force on the trailer _______ N(c) the force exerted by the trailer on the car _______ N(d) the resultant force exerted by the car on the road magnitude _______ N direction…A 50.0kg woman inside an elevator is standing on a scale. Calculate the scale reading when (d) the elevator is going down with acceleration a--3.0 m/s², and (e) the elevator is going down with a constant velocity v= -2.0 m/s.4. A concrete weight of 125 kg is released from standstill and a log of mass 200 kg is moved along an inclined area of 30° to the horizontal.When the concrete weight is moved down 5 m, find that 1. What is the speed of the log? 2. What is the movement time of the concrete drum?
- Two forces are acting on an aircraft of mass 2000 kg as shown figures determine the acceleration of the aircraft?1.A 10 kg of 0.5 m radius wheel rotates at 360 rpm. What centripetal force ( KN ) is developed in the wheel? 2.A particle moves in such a way that a = 2 t + 2 m/s/s , where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. 4.If a particle moves in such a way that a = 2 t - 1 m/s/s , where t is in seconds. Find the velocity ( m/s ) of the particle after 5 s .A four wheel drive accelerate uniformly from 60Km/hr.to a speed of 90km/h. over a distance of 450m. Calculate the acceleration and the time taken to attain the speed. If a further acceleration raises the speed to 130km/hr in 14 seconds, find the acceleration and the further distance moved
- The elevator in an office building, starting from rest at the first floor, is accelerated 0.75 m/sec2 for 5 secs. It continues at constant velocity for 12 secs, more and is then stopped in 3 secs with constant deceleration. If the floors are 3.75 m apart, at what floor did the elevator stop?A 100-kg box is towed to move horizontally from rest by a constant force P=200 N. The kinetic friction is μk =0.1. The angle of the force P is θ=30° with respect to the horizontal direction. The acceleration due to gravity is g=9.81 m/s2. (6) Calculate the magnitude of the acceleration a= ___(m/s2 ) (two decimal places).6) A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative position, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥2sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s2.
- An automobile starting from rest acquires a speed of 40 mi/hr in 12 sec.What is its average acceleration?When a volleyball coach releases a volleyball from a height of 2 m above the gym floor, it falls to the floor and bounces back to two-thirds the same height. When it is in contact with the floor, the lower side of the ball is temporarily flattened. Suppose the maximum depth of the dent is 1 cm. (Assume the positive direction is upward.)1. Determine the acceleration of the ball (in m/s2) while it is in contact with the floor and compressing. (Indicate the direction with the sign of your answer.) 2. Determine the velocity of the ball (in m/s) as it leaves the floor on the rebound. (Indicate the direction with the sign of your answer.) 3. What If? If instead of dropping the ball, the coach throws it down (from some unknown height) with such a speed that it bounces back up to a height three times its original height, determine the new acceleration of the ball (in m/s2) while in contact with the floor and expanding. (Indicate the direction with the sign of your answer.)Acceleration of an object is given by a = 90 – 6x2 cm/s2; where x is incm. If the object starts with zero initial velocity from origin a. Determine the velocity when x = 5cm b. Determine the position where velocity is again zero. c.