A girl of mass m1=60.0 kilograms springs from a trampoline with an initial upward velocity of vi=8.00 meters per second. At height h=2.00 meters above the trampoline, the girl grabs a box of mass m2=15.0 kilograms. For this problem, use g=9.80 meters per second per second for the magnitude of the acceleration due to gravity. What is the speed vbefore of the girl immediately before she grabs the box? What is the speed vafter of the girl immediately after she grabs the box? What is the maximum height hmax that the girl (with box) reaches? Measure hmax with respect to the top of the trampoline?

A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be Fooooo

A bird is flying with a speed of 18.0(m)/(s ) over water when it accidentally drops a 2.00 Kg fish. If the altitude of the bird is 5.40 m and friction is ignored, what is the speed of the fish when it hits the water.

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 man pushing a crate of mass  m = 92.0 kg  at a speed of  v = 0.860 m/s  encounters a rough horizontal surface of length  ℓ = 0.65 m  as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.360 and he exerts a constant horizontal force of 279 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude  N direction     (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/s

A 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 package of mass 56 kg is pushed up a ramp with a horizontal force of 450 N. The length of the ramp is 3.00 m and the angle between the ramp and the horizontal is 36°. If the final speed of the package is 5.0 m/s , calculate the initial velocity of the package. (а) 6.7 m/s (b) 8.5 m/s (c) 9.7 m/s (d) 4.5 m/s

A 2.0-kg block was released from rest at point A. It then moves through point B until it finally stops at point C. The plane is inclined at an angle e of 32.0° from the horizontal and the incline stands at a height h of 3.0 m. The coefficient of kinetic friction from point A to B is 0.40. h 8.0 m (a) What is the velocity of the block at point B? (Ans.: 4.6 m) (b) What is the coefficient of friction for the horizontal surface (from point B to C)? (Ans.: 0.13)

An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above the end of the ramp (as shown in the figure). Consider the ramp to be frictionless and neglect the effects of air resistance. %3D H yend of ramp (a) What is the speed of the object at the end of the ramp? (b) If the velocity of the object at the end of the ramp makes an angle 0 = 21° with the horizontal, what is maximum height, h of its jump above the end of the ramp?