A golfer is attempting to hit a golf ball from a sand trap into a hole that is 3 m away (Figure 1). The hole is on a green that is at an elevation of 0.3 m above the sand trap. If the golfer hits the ball at an angle of θ = 60∘ above the horizontal, (a) what must be the speed v0 of the ball for it to go directly into the hole without rolling along the green? (b) How long is the ball in the air? (c) What is the final speed of the ball just as it enters the hole? (d) At what angle is the ball traveling just before it enters the hole?

Q: The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that the…

A:

Q: A giant Ferris wheel in Seattle, Washington has a diameter of 135 m and takes 30 minutes to make one…

A: The radius of the Ferris wheel is, r=135 m2=67.5 m The distance traveled by a rider in one…

Q: At a local pumpkin patch, Ximena is hired to create a Hallowe'en gourd launcher. Ximena wants to…

A: From the problem, we know the following:The final velocity in the x direction (vx) is 5.12 m/s.The…

Q: The code Orbit (Appendix J) can be used to generate orbital positions, given the mass of the central…

A: Required : Plots of the orbits.

Q: A child is standing is standing on the edge of a cliff overlooking a river. The cliff is 8m above…

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Q: A ball rolls on the horizontal floor of a tall building, then. slides off the top of a ladder (see…

A: Given Data The speed of the ball is:u=4 m/s The height of stair is:h=0.5 m The width of stair…

Q: A 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O…

A:

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Assume the mass of the Sun as M=1.989×1030 kg Assume the mass of the comet is denoted by mc. The…

Q: A 148 g ball is released from rest H = 1.51 m above the bottom track. It rolls down a straight 45°…

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Q: A motorcycle daredevil plans to ride up a 2.85 m high 29.0° ramp, sail across a 10-m-wide pool…

A: Given:  Ramp height = h = 2.85 m Inclination angle of the ramp = θ = 29 degrees width of the pool =…

Q: At a local pumpkin patch, Ximena is hired to create a Hallowe'en gourd launcher. Ximena wants to…

A: From the problem, we know the following:The final velocity in the y direction (vy) is 0 m/s.The…

Q: At the Earth's surface a projectile is launched straight up at a speed of 10.0 km/s. To what height…

A: Launch speed (u) = 10000 msRadius of earth (R) = 6370000 m Mass of earth (M) = 6×1024 kg Let the…

Q: what will be its velocity when it reaches 5.2x10^6m from the center of the new planet?

A: Principle of Conservation of Energy According to the law of conservation energy, energy can neither…

Q: A disk with velocity v= 10m/s, mass m=4 kg, and radius r=.3 m. Find the total kinetic energy.

A: The total kinetic energy is the sum of the translation kinetic energy and rotational kinetic energy.…

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A:

Q: A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a…

A: Number of revolution n= 1200Radius of blad r=0.10 mTime t= 1minute =60 Seconds

Q: Jim is driving a car at a constant speed on a straight path along ckwise direction for 8.50 km. As…

A: Given:- Jim is driving a car at a constant speed on a straight path along a horizontal road in the…

Q: If he completes the 200 m dash in 23.8 s and runs at constant speed throughout the race, what is his…

A: The given data:   The distance d = 200 m Time is taken t = 23.8 sec         and The radius of…

Q: A three-blade wind turbine, which spins perpendicularly to the ground, is set on a pole that is 38 m…

A: Height of the wind turbine, H=38 m Length of each blade=4 m Angular speed of the wind turbine, ω=5…

Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

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Q: t is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x…

A: Angular momentum of comet around sun remains constant.

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A:

Q: One model for a certain planet has a core of radius Rand mass M surrounded by an outer shell of…

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Q: In an amusement park ride, a child stands against the wall of a cylindrical room that is then made…

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Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Given: Closest distance of comet from sun, r1 = 4.9×1010 m with speed, v1 = 9.3×104 m/s Farthest…

Q: A disk with velocity v= 10m/s, mass m=5 kg, and radius r=2 m. Find the total kinetic energy.

A: We know that for a disc: Inertia(I) is as below. value of the rotational kinetic energy is: value…

Q: The shuttle orbiter A is in a circular orbit of altitude 200 mi, while spacecraft B is in a…

A: In this question we simple determine  position vector from A to B.

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.