A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.2 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 23 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building. Find the work done lifting the bucket (sand and rope) to the top of the building. Joules

Q: A 2.9 m nylon fishing line used to hold up a 7.3 kg fish has a diameter of 1.3 mm.  how much is the…

A: The expression for young’s modulus of the nylon line is given by Y=FAΔLL0Y=FL0AΔLΔL=FL0AY The wire…

Q: A steel cylinder is placed on top of a brass cylinder. Each cylinder is 30 cm tall and has a…

A:

Q: As a hiker in Glacier National Park, you are looking for a way to keep the bears from getting at…

A: Mass of food left (m) = 19.5 kg Mass of rocks in anchor bag (m') = 19.5 kg θ = 47.5o Let the…

Q: An anchor of mass 105 kg and volume 4 x 102 m is resting on the bottom of a lake, with rope of…

A: Given  Mass of anchor m = 105 kg Volume of anchor V = 4 × 10-2 m3 To find  Force must be exerted on…

Q: A rectangular barge, 5.4 mm long and 1.2 mm wide, floats in fresh water. Suppose that a 360-kgkg…

A: When the crate is loaded onto the barge, the weight of the crate will be equal to the buoyancy…

Q: As the initially empty urinary bladder fills with urine and expands, its internal pressure increases…

A: The magnitude T of the tension force acting on one edge of the section is 0.95 N.Explanation:…

Q: Scenario: You've got chosen to become the beta tester for one futuristic disney world roller…

A: From the question, it is given that- Vertical distance covered by car: h = 25.0 m Mass of cart: m =…

Q: A host pours the remnants of several bottles of wine into a jug after a party. He then inserts a…

A: Write the formula for the pressure in terms of force.

Q: The plunger and the needle of a hypodermic syringe have areas of 0.5 cm2 and 0.0006 cm2 ,…

A: Given Area of plunger A = 0.5 cm2 = 0.5*10-4 m2 Force applied F = 5.5N

Q: In the figure, a spring of spring constant 2.30 x 104 N/m is between a rigid beam and the output…

A: Given : spring constant k=2.30 × 104 N/m Area of input : Ai Area of output : 13Ai Compression…

Q: Akiko Tam, a swimming champion whose mass is 60 kg stands on a rectangular swimming raft 3.0 m long…

A:

Q: A large aquarium of height 4 m is filled with fresh water to a depth of D = 2.10 m. One wall of the…

A: Height of aquarium,h=4 m Fresh water at depth,D=2.10 m thick plastic with horizontal length,w=7.40 m…

Q: The density of ice is 917 kg/m³, and the density of sea water is 1025 kg/m³. A swimming polar bear…

A: Given data: The ice density, ρice=917 kg/m3 The density of the seawater, ρsea=1025 kg/m3 The volume,…

Q: As the initially empty urinary bladder fills with urine and expands, its internal pressure increases…

A: 0.3305 NExplanation:Step 1: Step 2: Step 3: Step 4:

Q: There is an issue with the toilets at school.  If the water is coming out at 5.0 m/s, how much water…

A: Velocity of water coming out (v) = 5 m/s  Mass of person (m) = 95kg

Q: Вeam Container Spring In the figure, a spring of spring conistant k-31.5 kN/m is between a rigid…

A:

Q: Three hydraulic lift systems are shown below. Rank, from largest to smallest, the magnitudes of the…

A: Concept

Q: Water has a mass density of 1000 kg/m3.  The depth of a swimming pool at the deep end is about 3.0…

A:

Q: As a hiker in Glacier National Park, you are looking for a way to keep the bears from getting at…

A:

Q: Brass wire is 4 m long and 4 mm in diameter that is hanging from ceiling. If there's a mass of 5 kg…

A: The expression for the stress acting on the wire can be written as…

Q: Several years ago, it came a big storm at the lake. My boat was attached to the dock. The waves and…

A: The boat sinks into the water, it is due to the pulled down by its weight and pushed up by the…

Q: A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the…

A:

Q: You have been warned to  set up a ladder with its base about 1/4 of its length from the wall.…

A: Let us draw an an illustration of the given scenario:

Q: An anchor of mass 105 kg and volume 4 x 102 m³ is resting on the bottom of a lake, with rope of…

A: Given  Mass of anchor m = 105 kg  Volume of anchor V = 4 × 10-2 m3 To find  Force that should be…

Q: A spring is attached to the bottom of an empty swimming pool, with the axis of the spring oriented…

A:

Q: 60 m 45 m - 10 m A river is blocked by a dam with the shape of an trapezoid. The dam is 45 m tall,…

A: A river is blocked by a dam with the shape of an trapezoid. The dam is  tall,  at its base and  on…

Q: At the end of the film Titanic, Rose was floating on a wooden door as shown below while Jack stayed…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: What fraction of the iron cube’s volume floats above the surface of the mercury?

A: Given data:     The density of iron is: ῤiron = 7874 kg/m3 The density of mercury is: ῤmercury =…

Q: The towers holding small wind turbines are often raised for easy servicing of the turbine. A 1000 kg…

A: Given: The mass of the wind turbine is 1000 kg. The length of the tower is 24 m. The mass of the…

Q: Fluids have a surface tension, which means that requires that creating more surface requires energy.…

A: Solution:Given:L = length of rectangular container = 35 cm = 0.35 m W = width of rectangular…

Q: A large SUV with mass m = 2.67 x 10^3 kg is at rest as shown in the figure. Both pistons have a…

A: PS=PLFSAS=FLALFS=ASALmcarg=πR2SπR2Lmcarg=R2SR2Lmcarg

Q: A boat measuring 5.0 m wide, 5.0 m mass of 75 kg each can sit on this ba 1.

A: Given , Dimensions of boat : 5m wide , 5m deep  and 10m long Volume of boat = 5×5×10= 250 m3 Mass of…

Q: A 7.20 kg rock whose density is 4900 kg/m3 is suspended by a string such that half of the rock's…

A: In this question, we have given that  Mass of the rock : 7.20 Kg Density ρ=4900 Kg/m3 Vb=12V or…

Q: the plunger and the needle of a hypodermic syringe have areas of 0.5 cm^2 and 0.0006 cm^2,…

A: The cross-section area of the plunger is 0.5 cm2. The area of the hypodermic syringe is 0.0006 cm2.…

Q: The linear density of a rod 3m long at a point x meters from one end is ke-³ kilograms per meter.…

A:

Q: A fisherman and his buddy climb into a flat-bottomed aluminum fishing boat has a mass of 60 kg and…

A:

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: