A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if the rope weighs 0.624 N/m?

Q: A 1.6-oz golf ball is driven o¦ the tee at a speed of280 ft/sec (about 191 mph). How many…

A: The mass of the ball is found as: m=Weightg   =1.6 oz32x1 lb16 oz   =1320slugs

Q: A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track…

A:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

A: we know square area, A = a2  , where a = side of square  To find the solution , we will…

Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: Suppose your dorm room is 11 ft wide by 12 ft long by 8.5 ft high and has an air conditioner that…

A: Consider a room of length l, breadth b and height h. The volume of the room is calculated as,…

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

A:

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: In two days, 48,000 gallons of oil gushed out of a well. At what rate did the oil flow from the…

A: 48,000  gallons of oil is gushed out from a well in two days. Calculate the total number of minutes…

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 6t milliliters (mL) per…

A:

Q: Hey laptop computer consumes about 20 W of electricity per hour when operating at 10 since per kilo…

A: Given, Power consumption of a laptop is 20 watts of electricity per hour. It is uses for 5 hours.

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: A car owner buys 360 TL for gas every month, and since he bought 72 and 60 liters of gasoline in the…

A: We have to find average price

Q: A ladder 10 feet long is leaning against a wall, with the foot of the ladder 8 feet away from the…

A: To determine the rate at which the ladder is sliding.

Q: Two cars start moving fr km/hr. At what rate is the

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the…

A:

Q: How far above the surface of the Earth would he have to go to "lose" 13 % of his body weight?…

A: Follow the procedure given below.

Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

A:

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: A 2.63-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A:

Q: If a car is traveling at 89.7mph, how fast is that in mm/s?

A:

Q: A 500 mL IV starts at 9pm and runs at 33gtt/min with a drop factor of 10gtt/mL.  At what time will…

A: Algebra Question

Q: A 22-inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

A: Given a  234-inch candle burns down in 11 hours. We have to find the rate at which the candle burns,…

Q: A 5-kg bucket is lifted from the ground into the air by pulling in 20 m of rope at a constant speed…

A:

Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: 10 liters per​ minute, how long will it take to fill the 3,400​-gallon ​pool?

A:

Q: How much work is done lifting a 40 pound object from the ground to the top of a 55 foot building if…

A:

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A worker bee flies of a mile in of an hour. At this rate, how far can the bee fly in 1 hour?

A: given that a worker bee flies 58 of a mile in 116  of an hour find out how far the bee can fly in an…

Q: How many times more energy does a 450-nm blue photon have than a 656-nm red photon?  answer to three…

A:

Q: At what rate is water pouring into a rectangular bathtub with base 73 ft² if the water level rises…

A: Given : The base of rectangular bathtub = 73ft2 The rate at which water level is rising = 1.2…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

Q: It takes one week for a crew to pave 3/5 kilometer of road.  At that rate how long will it take to…

A:

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

A:

Q: One mole of gas expands isothermically to double its volume. If the gas temperature is 340 k what…

A:

Q: On the planet Gzyx, a ball dropped from a height of 20 ft hits the ground in 2 s. If a ball is…

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Given:Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the…

Q: A machine can peel 3 kg of potatoes in 5 minutes. At this rate, how many kilograms of potatoes can 4…

A:

Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

A:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm²/s) is the area of the…

A: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…

Q: A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2 . How much force did this require?

A:

Q: A pot contains 5 L of brine at a concentration of 80 g/L. How much of the water should be boiled off…

A: Let x = liters of water to be boiled off.

Q: A jogger jogs around a circular track with a diameter of 375 m in 16 minutes. What was the jogger's…

A: Given:  Diameter of circular track =375 m So, radius of the track