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**Practice Problems Work and Mechanical Advantage**

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**1. How much work is done on a 10 N block that is lifted 5 meters off the ground by a pulley?**

W = F x d = 10 N x 5 m Answer 50 joules or N-m

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**2. Vanessa lifts her book bag 1. 5 meters**

2. Vanessa lifts her book bag 1.5 meters. If the weight of the bag is 12 N, how much work did she do? W = F X d = 12 N X 1.5 m = 18 J

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**3. Kisha applied 20N of force to turn an ice cream freezer crank**

3. Kisha applied 20N of force to turn an ice cream freezer crank. The crank’s resistance was 60 N. What was the mechanical advantage of the crank? AMA = 60 N 20 N AMA=3

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4. You lift a 45 N bag of mulch 1.2 meters and carry it a distance of 10 meters to the garden. How much work was done? W = F x d = 45 N x 1.2 m 54 joules

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5. Suppose you need to remove a nail from a board by using a claw hammer. If the effort length for a claw hammer is 11.0 cm and the resistance length is 2.0 cm. What is the mechanical advantage? IMA= Effort Length Resistance Length = 11.0 cm 2.0 cm = 5.5

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**6. A pulley is used to raise a heavy crate**

6. A pulley is used to raise a heavy crate. The pulley is such that an input force of 223 N is needed to provide an output force of 1784 N. What is the mechanical advantage of this pulley? = N 223 N = 8

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**IMA= Effort Length Resistance Length = 4.6 m 1.4 m = 3.3**

7. A mover uses a ramp to load a crate of nails onto a truck. The crate, which must be lifted 1.4 m from the street to the bed of the truck, is pushed along the length of the ramp. If the ramp is 4.6 m long and friction between the ramp and crate can be ignored, what is the mechanical advantage of the ramp? IMA= Effort Length Resistance Length = m 1.4 m = 3.3

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