How much work does a supermarket checkout attendant do on a can of soup he pushes \(0.600{\rm{ m}}\) horizontally with a force of \(5.00{\rm{ N}}\)? Express your answer in joules and kilocalories.

Short Answer

Expert verified

The work done by the supermarket checkout attendant is \(3{\rm{ J}}\) or \(7.167 \times {10^{ - 4}}{\rm{ kcal}}\).

Step by step solution

01

Definition of Concept

The product of the magnitude of the force applied to the body, the displacement of the body, and the cosine of the angle between the force vector and the displacement vector is the work done.Mathematically,

\(W = Fd\cos \theta \)

Here, \(F\) is the magnitude of the force, \(d\) is the magnitude of the displacement and \(\theta \) is the angle.

02

Calculation of work done by the supermarket checkout attendant

Putting\(5.00{\rm{ N}}\)for\(F\),\(0.600{\rm{ m}}\)for\(d\)and\(0^\circ \)for\(\theta \)in equation (1.1),

\(\begin{aligned}{}W &= \left( {5.00{\rm{ N}}} \right) \times \left( {0.600{\rm{ m}}} \right) \times \cos \left( {0^\circ } \right)\\ &= 3.00{\rm{ J}}\end{aligned}\)

Hence, the work done by the supermarket checkout attendant is \(3.00{\rm{ J}}\).

03

Work done in kilocalories

We know that,\(1{\rm{ kcal}} = 4186{\rm{ J}}\). Therefore, the work done is,

\(\begin{aligned}{}W &= \left( {3.00{\rm{ J}}} \right) \times \left( {\frac{{1{\rm{ kcal}}}}{{4186{\rm{ J}}}}} \right)\\ &= 7.167 \times {10^{ - 4}}{\rm{ kcal}}\end{aligned}\)

Hence, the work done by the supermarket checkout attendant is \(7.167 \times {10^{ - 4}}{\rm{ kcal}}\).

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Most popular questions from this chapter

If the energy in fusion bombs were used to supply the energy needs of the world, how many of the 9-megaton variety would be needed for a year’s supply of energy (using data from Table 7.1)? This is not as farfetched as it may sound—there are thousands of nuclear bombs, and their energy can be trapped in underground explosions and converted to electricity, as natural geothermal energy is.

A 100-g toy car is propelled by a compressed spring that starts it moving. The car follows the curved track in Figure 7.39. Show that the final speed of the toy car is 0.687 m/s if its initial speed is 2.00 m/s and it coasts up the frictionless slope, gaining 0.180 m in altitude.

(a) Calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).

(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a).

A 105-kg basketball player crouches down 0.400 m while waiting to jump. After exerting a force on the floor through this 0.400 m, his feet leave the floor and his center of gravity rises 0.950 m above its normal standing erect position.

(a) Using energy considerations, calculate his velocity when he leaves the floor.

(b) What average force did he exert on the floor? (Do not neglect the force to support his weight as well as that to accelerate him.)

(c) What was his power output during the acceleration phase?

What is the efficiency of a subject on a treadmill who puts out work at the rate of 100 W while consuming oxygen at the rate of 2.00 L/min? (Hint: See Table 7.5.)

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