An astronaut lands on a newly-discovered planet (without an atmosphere). As an experiment, she throws vertically upwards a pure vanadium sphere of radius 2.0 cm and density 5.5 × 103 kg m3 with an initial speed of 3.0 ms 1. The point of release is 1.2 m above the ground. She observes the sphere to travel 4.8 m before it starts falling to the ground. Calculate the kinetic energy of the projectile just as it hits the ground.

Q: A bullet of mass (20 g) is found to pass two points (30 m) apart in a time interval of (4 sec).…

A: Given Mass of bullet (m)=20 g=0.02 kgDistance between two point (D)=30 mTime taken (t)= 4s

Q: a Consider system consisting three masses on the x axis. Mass m1=1.00 kg is at =1.00 m ; mass m2 =…

A: Given: mass 1= 1kg mass 2= 2kg mass 3 = 3kg taking reference from origin position of mass 1= R1= 1m…

Q: The figure shows a 0.536-kg frictionless particle's potential energy as a function of position along…

A: Given Data mass of the particle m = 0.536 kgsince friction is not present in the systen which…

Q: A 60.0-kg projec where the ground is taken to be y = 0. (a) What is the initial total mechanical…

A: Given: A 60 kg projectile is fired at an angle 300 above the horizontal with an initial speed of 144…

Q: Q 15) Duningjogging the velocity of blood flow is about (cm/s (10) inthe aorta, what is the kinetic…

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Q: A 15 g bullet traveling parallel to an inclined ramp strikes a 2.74 kg block of wood and becomes…

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Q: 2. A volleyball player volleys a ball (mass 125 g) from a height of 1.40 m above the ground with an…

A: (a). Mechanical energy = 3.04 J  Maximum height above the ground = 2.48 m

Q: A 5.50-kg birthday present is sliding down a curved hill with an initial speed of 3.80 m/s. While it…

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Q: in the thermal energy of the block-foo

A: Given: Mass of block is 2.6 Kg Spring constant is 660 N/m Distance, D=7.9 m Kinetic friction…

Q: A 70.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.9 m/s.…

A: The 70 kg athlete jumps off the trampoline with an initial velocity of 8.9 m/s. The force acting on…

Q: The ball is thrown as shown in the figure having a 2.01 m/s - horizontal velocity. Then the ball…

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Q: A student at another university repeats the experiment you did in lab. Her target ball is 0.860 m…

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Q: When friction acts between an object and the system, how does this change the balance of kinetic and…

A: By observing the option we will answer the given question.

Q: Vo

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Q: A 12.0 kg bowling ball (solid sphere) is rolling along a track at 2.7m/s. It then rolls up a ramp…

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Q: spring gun (spring constant k-42 N/m) is used to shoot a 30-g ball horizontally. Initially the…

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Q: Olivia fires an arrow at a bird sitting 20m up in a tree. The arrow has a mass of 0.010 kg and…

A: Given height of the bird from the ground = 20m  mass of an arrow = m = 0.010 kg  initial bow speed =…

Q: One end of a massless, 30-cm-long spring with spring constant 25 N/m is attached to a 250 g…

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Q: A 8 kg pendulum is swinging back-and-forth. When the pendulum is at some point between its maximum…

A: Explanation Total energy of the pendulum can be obtained by the sum of potential energy and kinetic…

Q: An 18g bullet is fired into 4kg block that is suspended from the ceiling by ropes. The bullet comes…

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Q: The surface tension of soap solution is- 0.035 N/m. The energy needed to increase the radius of the…

A: To find-Energy required (E)=?Given-S.T. (T)=0.035 N/mr1=4 cm=4×10-2 mr2=6 cm=6×10-2 m

Q: 2. A 45.0 kg boy is initially seated on the top of a hemispherical ice mound of radius 20.0 m. He…

A: Given data: The mass of boy is m=45 kg. The radius of mound is r=20 m.

Q: At a carnival, you can try to ring a bell by striking a target with a 10.1-kg hammer. In response, a…

A: Since 24.8% of the hammer's kinetic energy goes into raising the gravitational potential energy of…

Q: This time, the pendulum is 1.89 m long and has a mass of 3.24 kg. You give it a push away from…

A: The length of the pendulum is 1.89 m. The mass of the pendulum is 3.24 kg. The speed of the pendulum…

Q: Problem#4: How much kinetic energy a nail with a of 8.5 g can mass acquire when it is struck by a…

A: Given: The mass of the nail is 8.5 g. The mass of the hammer is 0.5 kg. The initial speed of the…

Q: For the potential-energy diagram shown, what is the maximum speed of a 2.0 g particle that…

A: Given: The mass of the particle is m=2 g. From figure the energy at x=2 mm and x=8 mm is 5 J.…

Q: Don't use Artificial intelligence tools. Only Handwritten solutions are allowed. Mechanical…

A: This total energy per unit weight includes all the potential energy, kinetic energy, and pressure…

Q: A spring with a spring constant of 120 N/m with an uncompressed length of 36 meters is compressed…

A: Spring constant (k) = 120 NmOriginal uncompressed length (L) = 36 m Mass of block (m) = 30 kg…

Q: spring constant in N/m

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Q: 1. A 58.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of…

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Q: As shown in the figure, a 4.0-kg block is moving at 5.0 m/s along a horizontal frictionless surface…

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Q: In the figure below, a ball of mass m = 61 g is shot with speed v, = 26 m/s into a barrel of spring…

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Q: m. The car then ramp which is frictionless except for the 2.5 meter patch shown. Next the car goes…

A: Use law of conservation of energy  MEi=MEf  Initially the car has only spring potential energy= Us…

Q: Shey leads South’s varsity softball team in hitting. In a game against New Greer Academy this past…

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Q: The Slingshot is a ride for two people. It consists of a single passenger cage, two towers, and two…

A: Given data: The height of each tower is h=75 m. The distance between towers is d=34 m. The…

Q: Q. 17: The work done in breaking a water drop of radius 1 cm into 64 equal droplets (surface tension…

A: To find-Workdone (W)=?Given-n=64 dropletsR=1 cm=10-2 mT=0.07 N/m

Q: A person standing at the top of a 7.0 m tall building throws a basketball (m = 0.625 kg) with…

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Q: A 2 kg ball is dropped from a height of 1m. What is the total mechanical energy possessed by the…

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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.