A.determine the work done by the force on the particle with the appropriate units. B.what is the angle between the force and the particles displacement.
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- An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. What maximum height does she reach? (a) 13 m (b) 2.3 m (c) 3.7 m (d) 0.27 m (e) The answer cant be determined because the mass of the athlete isnt given.A 50 g particle that can move along the x-axis experiences the net force Fx=2.0t^2 N where t is in s. The particle is at rest at t = 0 s What is the particle's speed at tt = 2.6 ss? v=________Starting from rest, a 93-kg firefighter slides down a fire pole. The average frictional force exerted on him by the pole has a magnitude of 840 N, and his speed at the bottom of the pole is 3.6 m/s. How far did he slide down the pole? ho
- The force F~ acting on the ball in the above figure is a constant. When the ball is released fromrest, it swings upward until it is in equilibrium at height H from its initial release point. Ifm = 300 g, L = 80.0 cm, and F = 10 N, determine H.A box with mass 5.00 kg starts sliding down a ramp (1.00 m long) which is inclined at an angle 30.0°as shown in Figure. Initially, the box was at rest and it experiences a frictional force of 8.00 N while sliding down until it reaches the bottom of the ramp. What is the speed (in m/s) of box at the bottom of the ramp? d. 30° O a. 2.61 Ob.2.53 OC. 2.68 d. 2.83A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. Thecoefficients of static and kinetic friction between the puck and the ramp are μs = 0.40 andμk = 0.30, and the puck’s initial velocity at the base is 3.8 m/s parallel to the sloping surfaceof the ramp. What speed does the puck have when it slides back down to its starting point?
- The force acting on a particle is as in the figure it is changing. X= 8.00 m from particle x = 0 m when your what is his job F(N) force is on this particle 6 8 x(m) 10 34 -a mother and her child are skiing together, and the mother is holding the end of a rope tied to the child's waist. They are moving at a speed of 7.2 kph on a gently sloping portion of the ski slope when the morher observes that they are approaching a steep descrnt. She pulls on the rope with an average force of 15 N. Knowing the coefficient of frivtion between the mother and the ground is 0.2, the mass of the mother is 62 kg and the angle of the rope does not change, determine the acceleration of the mother, the time reuired dor the mother's speed to be cut in half, and the distance traveled.A 10 m long vertical cannon is used to accelerate a 1.0 kg ball straight up into air. A constant force of 13.2N is used to access bowling ball length of the canon. what is the ball's approximate velocity as it leaves the canon assuming no energy loss to friction
- Starting from rest, a 31.4 kg child rides a 8.75 kg sled down a frictionless ski slope. At the bottom of the hill, her speed is 6.0 m/s. If the slope makes an angle of 13.1° with respect to the horizontal, how far along the hill did she slide on her sled? distance= mWnet = m(v₁)² = m(v₁)², Wnet = Σ₁ W₁, W = Fd cos 0 Problem 1: A 2.0 kg box slides on a floor. A friction force of 5.0 N opposes the motion. If the box starts with a speed of 5.5 m/sec, how far does is slide before coming to rest? Answer: d = 6.1 m Problem 2: What is the force a 60.0 kg sprinter exerts backward on the track to accelerate from 2.00 m/sec to 8.00 m/sec in a distance of 25.0 m, if they encounter a wind that exerts an average force of 30.0 N against them? Hint: Wnet = Wrunner - Wwind. Answer: Frunner: = 102.0 N Problem 3: A 500-kg dragster accelerates from rest to a final speed of 110 m/sec in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is the work done by the dragster? Hint: Wnet = Wdragster - Wfriction. Answer: Wdragster = 3.5 × 106 JA box weighing 3.9 kg is initially at rest on a horizontal floor. It is then pushed in a straight line for 1.2 m by a girl exerting a horizontal force with a magnitude 36 N. What is the final speed of the box if there if no friction between the floor and the box? What is the final speed if a coeffient 0.30 would be introduced between the floor and the box?