1) The 10-kg cart is released from rest at time t = 0 on the inclined surface. The force P = 40t N acts on the cart, where t is the time measured in seconds. (a) Determine the distance the cart will move down the inclined surface before reversing direction. (b) Find the velocity of the cart when it returns to the point of release. P = 401 N 10 kg 20°
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- A 3.00-kg block starts from rest at the top of a 27.5° incline and slides 2.00 m down the incline in 1.30 s. (a) Find the acceleration of the block. m/s² (b) Find the coefficient of kinetic friction between the block and the incline. (c) Find the frictional force acting on the block. N (d) Find the speed of the block after it has slid 2.00 m. m/sFrom a standstill, a 77.0 kg basketball player bends their knees and pushes against the floor andextends legs vertically 30.0 cm before jumping vertically off the ground and reaches a maximumheight of 25.0 inches above the ground. Assume the force the floor exerts on the player is constant.What is the force the floor exerts on the player? Give answer in lbs. (Let 4.45 N = 1 lb., 1 inch = 2.54 cm)Block 1 (10 kg) is pulled by a rope from left to right up a ramp which is inclined 50 degrees from the horizontal. The rope pulls on block 1 with a force of 150 N parallel to the surface of the inclined plane. The coefficient of kinetic friction between the block and the surface equals 0.3. Weight force on block 1 by EarthW1E = Tension force on block 1 by RopeT1R = Normal force on block 1 by SurfaceN1S = Frictional force on block 1 by Surfacef1S = What is the acceleration a of block 1?a =
- – 3. A 64.3 kg skydiver jumps out of an airplane with a parachute. She decides not to pull the rip cord until she reaches terminal velocity. If the resistive force proportionality constant is 2.35 kg/s, what is the magnitude of the velocity when she decides to pull the cord? (Assume the drag force is proportional to the speed.) - a. 16.4 m/s b. 268 m/s c. 151 m/s d. 9.80 m/s e. 27.4 m/sRedo Example 5, assuming that there is no upward lift on the plane generated by its wings. Without such lift, the guideline slopes downward due to the weight of the plane. For purposes of significant figures, use 2.91 kg for the mass of the plane, 12.2 m for the length of the guideline, and 18.2 and 36.4 m/s for the speeds. (a) Number (b) Number Units UnitsA boat with mass of 7.4 * 10° kg is traveling at 6.1 * 10' m/s. What is the magnitude of the force required to stop the boat if it undergoes a displacement of 1.2 * 10' m? Express your answer in Newtons.
- 3. A base year student with a mass of 85 kg slides on a surfboard down the stairs in NI:0E11 with a constant speed of 3.0 m/s. The stairs have an angle of 15.0 degrees to the ground. (a) Free the surfer (ie the surfer and the teacher as a unit). (b) Calculate the frictional force.An object with a mass of 4kg lies on a rough plane inclined at 20 degrees to horizontal. A force of 35N is applied parallel and up the plane. The object accelerates at 2.5m/s^2. What is the Uk between the object and planeA skater of mass m standing on ice throws a stone of mass M with speed v in a horizontal direction. Find the distance over which the skater will move in the opposite direction if the coefficient of kinetic friction between the skater and the ice is ?k . (Use any variable or symbol stated above along with the following as necessary: g.)Δx =