Energy density of wire is 0.25 J/m³, when its extension is 0.2 cm. Find energy of wire, when elongation is 1 cm. 1 (a) 1000 (c) 25 4 J/m³ 5 7 J/m³ (b) (d) J/m³ 2,5 J/n 2 J/m³
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- For exercise, an athlete lifts a barbell that weighs 400 N from the ground to a height of 2.20 m at a constant speed in a time of 1.60 s. What is the metabolic energy, in kJ (kiloJoule)? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Suppose that the average U.S. household uses 12600 kWh (kilowatt-hours) of energy in a year. If the average rate of energy consumed by the house was instead diverted to lift a 1250 kg car 15.8 m into the air, how long would it take? Number Using the same rate of energy consumption, how long would it take to lift a loaded 747, with a mass of 4.00 x 10 kg, to a cruising altitude of 9.17 km? Number SHow much work is done by gravity when dead lifting a 100.0 kg barbell 81.54 cm from the floor to hip level ?
- A textbook claims that walking at a speed of 1.39 m/s requires a power output Pwalk=280 W. The basal metabolic rate is 85 W. a. Estimate the force walking requiresGiven: The energy equivalent of one gallo of gasoline is 1.3 x 10 J. A compact car has a mass of 907 kg, and its efficiency is rated at 16.7%. (That is, 16.7% of the input energy available is delivered to the wheels.) Find the amount of gasoline used to accel- erate the car from rest to 25.1 Answer in units of gal. m/s.A swimming pool is round, full of contaminated water, and has an 11 foot radius. It is 11 feet tall and has 4 feet of water in it.How much work is required to remove all of the contaminated water by pumping it over the side? (Use the physical definition of work, and the fact that the weight of the contaminated water isσ=63.2lbs/ft3 )
- (a) A steel ball of mass 0.2 kg is projected vertically upwards, from the top of a building 100 m high, with an initial velocity of 40 m.s. Ignore air frietion and calculate: i. the total mechanical energy of the ball the time it was projected. ii. the total mechanical energy of the ball the time it reached the ground level (i.e at the bottom of the building) -1 iii. the total mechanical energy of the ball the time it reaches its maximum height above the ground. iv. the velocity of the ball the time it reached the ground level v. time taken by the ball to reach the ground level from the time it was projected vi. the maximum height above the ground the ball reached vii. the velocity of the ball the time it was 20 m above the ground (b) Two objects of mass 12 kg and 8 kg respectively move towards each other at velocities 10 m.s and 5 m.s respectively. If the objects unite during collision, calculate the resultant velocity. Page 5A trough is 5 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 1.5 meters). The kg trough is full of water (density 1000- ). Find the amount of work in m3 joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8 as the acceleration due to gravity.) s2 5m 1.5m 1mThe force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 25 N, b = 11 rad/m, and k = 68 N/m. Enter a general equation in terms of the given variables for the work required to compress this spring from position x1 to x2. Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 21 cm. Calculate the work done in joules as the spring is compressed from x1 = 21 cm to x2 = 66 cm
- 20. If 60 percent of the potential energy of water flowing over a dam can be converted to electricity, find the maximum power output, in kW (kilowatts), for a dam 50 m high where the water crosses at a rate of 300,000 kg/min (1 watt = 1 joule/sec, 1 kW = 1000 watts)Suppose that the average U.S. household uses 14100 kWh (kilowatt-hours) of energy in a year. If the average rate of energy consumed by the house was instead diverted to lift a 1690 kg car 15.8 m into the air, how long would it take? car: S Using the same rate of energy consumption, how long would it take to lift a loaded Boeing 747 airplane, with a mass of 3.90 x 10° kg, to a cruising altitude of 9.42 km? airplane: SA tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.8 m/s? for g. Use 1,000 kg/m³ as the density of water. Round your answer to the nearest whole number.) 3 m 9 m