An aluminium beam was brought from the outside cold into a machine shop where the temperature was held at 18°C. After 10 minutes, the beam warmed to 2°C and after another 10 minutes, it was 10°C. Use Newton's law off cooling to estimate the beam's initial temperature.

Q: A ship started at a certain port and travelled N 48° E at the rate of 32 kph. After 1.5 hours, a…

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Q: A cup of hot coffee initially at 100°C cools to 40°C in half an hour while sitting in a room of…

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Q: A man 6 feet tall walks at a rate of 6 feet per second away from a light that is 15 feet above the…

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Q: A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A: Given that force  acting on the object varies directly with the object's acceleration.

Q: 1. A 25 feet long ladder is leaning against a wall and sliding toward the floor. If the foot of the…

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Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A: Force and acceleration relation

Q: A ladder is 27 feet long and is leaning against the side of a house. The base is moved away at 3 ft…

A: Solution is given below:

Q: The base x of the right triangle in Figure increases at a rate of 5 emfs, while the height remains…

A: Write the tangent ratio for angle .

Q: 1. A 17 feet ladder is leaning against a wall. If the bottom of the ladder is pulled along the…

A: Given : dx/dt = 5 y = 8 Now we find the dy/dt = ?

Q: Blood plasma is stored at 40°F. Before the plasma can be used, it must be at 90°F. When the plasma…

A: According to the given information, the blood sample is stored at 40 degree F. so,

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the…

A: Please see the explanation below

Q: A ship moving 8 mph sails north for 30 minutes then turns east. If a searchlight at the point of…

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Q: On a certain planet's moon, the acceleration due to gravity is 2.6 m/sec. If a rock is dropped into…

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Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: A pan of warm water ​(60°​C) was put in a refrigerator. Ten minutes​ later, the water's temperature…

A: Solve the following

Q: 13. A hot cup of coffee initially at 95°C cools to 80°C in 5 min while sitting in a room of…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

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Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off…

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Q: A pan of warm water (46°C) was put in a refrigerator. Ten minutes later, the water’s temperature was…

A: Consider the equation

Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A:

Q: A pot of boiling soup with an internal temperature of  105∘F was taken off the stove to cool in a…

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Q: A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground.…

A: Given: - A weight W is attached to a rope 50 ft, long which passes over a pulley at P, 20 ftabove…

Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: Suppose a roasted turkey is taken from the oven, where its internal temperature is 175°F, and placed…

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Q: The temperature in Vancouver was 8◦C at 6 am and rose to 20◦C at noon. Which assumption about…

A: Temperature is a continuous function.  We can write the temperature(T) as a function of time(t).…

Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

A: Given: A lighthouse rotates clockwise at a constant rate of 17 revolutions/min.

Q: An object undergoes acceleration 2.3i +3.6j m/s? for 8.1 s at which time its velocity is 33i +15j…

A: We can solve it by using some basic formula related to accelaration and velocity.

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

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Q: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach. If the…

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Q: Find how much more energy was released by an earthquake of magnitude 6.9 than by an earthquake of…

A: Solution: use formula Log E = 11.8+1.45M

Q: When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon to demonstrate that…

A: An astronaut dropped a hammer and feather on the moon.These are dropped from about 4 ft above the…

Q: A rocket rising from the ground has a velocity of v(t)=2,000 te-t/180 ft/s, after t seconds. How far…

A: Given thatThe velocity of the rocket rising from the ground is

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: From the given problem the representative diagram is as shown below. Apply the Pythagorean theorem:…

Q: A computerized spin balance machine rotates a 25-inch-diameter tire at 480 revolutions per minute.…

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Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: An aluminum beam was brought from the outside cold into a machine shop where the tem-perature was…

A:

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: was an earthquake in South America with magnitude 4.3 that caused only minor damage. How many times…

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Q: An observer who is 3km from a launchpad watches a rocket that is rising vertically. At a certain…

A: Rate of change

Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

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Q: Suppose that a cup of soup cooled from 90°C to 60°C after 10 min in a room whose temperature was…

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Q: 10 ft/s from the ground. At what time t does the ball reach its maximum height? (Recall the…

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Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

A: