Sand falls from a stationary hopper onto a freight car that is moving with uniform velocity v. The sand falls at the rate dm/dt. How much force is needed to keep the freight car moving at the speed v?
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- A hockey puck with mass 0.166 kg is pushed across the ice with a constant force of 0.89 N. The coefficient of kinetic friction between the puck and the ice is 0.22. After a distance of 2.6 m, what is the puck's speed in m/s?A 1.90 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s^2 )t2 If the force continues to be applied, what is the velocity of the box at 3.50 s?At a pool, a 3.26 kg life ring is thrown by a lifeguard to a struggling swimmer. The lifeguard stand is 1.75 m above the water. If air resistance is negligible and the life ring is launch with a speed of 8.23 m/s at the angle indicated in the figure: a) Find the height of the life ring and the net force on the life ring at point P. b) Find how far the life ring lands from the base of the stand. c) With what velocity did the life ring strike the water at point Q? 30°
- .Time left 0:20:32 An amusement park in Dubai has a ramp which is frictionless. A child drops a smooth object and it slides down the ramp and comes down through a height 4 m. What distance is necessary to stop the object on the flat track if the coefficient of friction is 0.4? h. Answer:A train car is accelerating with an unknown acceleration. There is a small mass hanging from a string that is attached to the ceiling of the train car. Because the train is accelerating forward, the mass is angled backwards at 6.4 deg. from the vertical. What is the magnitude of the train's acceleration?
- A box of mass 21 kg moves with a constant velocity of (4, 8, –4) m/s. Three forces are exerted on the box by objects in the surroundings. Two of these forces are F 1 = (1,0, 3) Nand É 2 = (-5, –1, 19) N. What is the third force? F3 = ( i ! )N i iA woman at an airport is rolling her suitcase (mass = 20 kg) at an initial velocity of 1 m/s by pulling on a strap at an angle of 30° above the horizontal with a force of 33 N. The woman starts to speed up when she realizes that she is late for her flight. She pulls the suitcase over a distance of 50 m as she walks to her gate. What is the speed of the suitcase when she reaches her gate? (You can neglect friction in this problem. Give your answer in m/s.)A hockey puck (mass = 2 kg) leaves the players stick with a speed of 20 m/s and slides on the ice before coming to rest.The coefficient of friction between the puck and the ice is 0.9. How far will the puck slide after leaving the players stick? m
- Problem 16: A 50 kg block and a100 kg block are connected by a string as shown in the figure. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 50 kg block and the incline is 0.250. Find the speed of the 100 kg block after it has fallen 1.5 m, causing the 50 kg block to move from position A to B. 50.0 kg 37.0⁰ A 100 kgIn the situation below, m1=20 kg and m2=10 kg. The masses are at rest. A) What is the minimum coefficient of friction between the incline and m1? B) The sting and cut and m1 slides down the incline. What is its speed when it reaches the bottom? The block is initially at height of 10 meters.At Ted's request, Bill pushes the pizza box across the granite countertop towards Ted. When the box leaves Bill's hand it is sliding at 2.60 m/s. The box comes to rest over a distance of 110 cm. What is the coefficient of kinetic friction, uk, between the pizza box and the countertop? (Ignore air drag.)