Question

In: Physics

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and...

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 19.0 m above the ground. Neglect air resistance.

(a) What is her speed when she leaves the track? m/s

(b) What is the maximum altitude she attains after leaving the track? m

(c) Where does she land relative to the end of the track? m

Solutions

Expert Solution

(a)

her speed when she leaves the track is

(b)

At the top of the parabolic arc the skier follows after leaving the track,

Applying conservation of mechanical energy from the end of the track to the top of the arc

(c)

the flight from the end of the track to the ground gives

this is the quadratic equation, the solution of the equation is

the skier has a horizontal displacement is


Related Solutions

A ski jumper starts from rest from point A at the top of a hill that...
A ski jumper starts from rest from point A at the top of a hill that is a height h1 above point B at the bottom of the hill. The skier and skis have a combined mass of 80 kg. The skier slides down the hill and then up a ramp and is launched into the air at point C that is a height of 10m above the ground. The skier reaches point C traveling at 42m/s. (a) Is the...
A ski starts from rest and slides down a 30 ∘ incline 70 m long. A)If...
A ski starts from rest and slides down a 30 ∘ incline 70 m long. A)If the coefficient of friction is 0.075, what is the ski's speed at the base of the incline? B)If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.
A ski starts from rest and slides down a 30 ∘ incline 70 m long. a)...
A ski starts from rest and slides down a 30 ∘ incline 70 m long. a) If the coefficient of friction is 0.095, what is the ski's speed at the base of the incline? b) If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.
A bungee jumper plans to bungee jump from a bridge 74.0 m above the ground. He...
A bungee jumper plans to bungee jump from a bridge 74.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body...
A race car starts from rest on a circular track of radius 490 m. The car's...
A race car starts from rest on a circular track of radius 490 m. The car's speed increases at the constant rate of 0.430 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following. (a) the speed of the race car m/s (b) the distance traveled m ( c) the elapsed time s
A roller coaster starts at ground level and rises up 139 m above the ground on...
A roller coaster starts at ground level and rises up 139 m above the ground on the first hill. What is the maximum speed it can have when it rolls down to the ground level?
A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The...
A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The forward force provided by the car’s drive wheels is a constant 1000 N. A. What are the magnitude and direction of the car’s acceleration at t = 10 s? Give the direction as an angle from the r-axis. B. If the car has rubber tires and the track is concrete (use book or other reference to find coefficients of friction), at what time does...
A roller coaster starts from rest at A, rolls down the track to B, describes a...
A roller coaster starts from rest at A, rolls down the track to B, describes a circular loop of 12-m diameter, and travels up and down past point E. Assume that there is no energy loss due to friction. Given: h = 20 m. Shoe the free body diagrams at points B,D, and E. Determine the force exerted by his seat by a 80 kg rider at B and D and the minimum value of the radius of curvature at...
A box of mass m1 = 2.0 kg starts from rest and slides down the frictionless...
A box of mass m1 = 2.0 kg starts from rest and slides down the frictionless incline. At point A, the box encounters a (massless) spring of spring constant k. It compresses the spring a distance x = 0.25 m to point B where the speed of the box is 4.4 m/s. The first box is then removed and a second box of mass m2 = 3.0 kg is placed on the same incline at the same initial point and...
A roller coaster car with a mass 700 Kilograms starts from rest at h1 above the...
A roller coaster car with a mass 700 Kilograms starts from rest at h1 above the ground and slides along a track. The car encounters a loop of radius 12 m. The bottom of the loop is a height h2 = 5 m from the ground. What would be the max height of release h1 for the roller coaster car if the amount of thermal energy produced between the point of release and the top of the loop should not...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT