Math / Algebra

Question3:58
Answer: Exercise 8: $\quad$ Skye is trying to make her $70.0-\mathrm{kg}$ Saint Bernard go out the back door but the dog refuses to walk. If the coefficient of sliding friction between the dog and the floor is 0.50 , how hard must Skye push in order to move the dog with a constant speed?
Answer $\qquad$ Exercise 9: Rather than taking the stairs, Martin gets from the second floor of his house to the first floor by sliding down the banister that is inclined at an angle of $30.0^{\circ}$ to the horizontal. a) If Martin has a mass of 45 kg and the coefficient of sliding friction between Martin and the banister is 0.20 , what is the force of friction impeding Martin's motion down the banister? b) If the banister is made steeper (inclined at a larger angle), will this have any effect on the force of friction? If so, what?
Answer: a. $\qquad$ Answer: b. $\qquad$ Forces 45
Exercise 10: As Alan is taking a shower, the soap falls out of the soap dish and Alan steps on it with a force of 500 N . If Alan slides forward and the frictional force between the soap and the tub is 50 N , what is the coefficient of friction between these two surfaces?
Answer: $\qquad$ Exercise 11: Howard, the soda jerk at Bea's diner, slides a $0.60-\mathrm{kg}$ root beer from the end of the counter to a thirsty customer. A force of friction of 1.2 N brings the drink to a stop right in front of the customer. a) What is the coefficient of sliding friction between the glass and the counter? b) If the glass encounters a sticky patch on the counter, will this spot have a higher or lower coefficient of friction?
Answer: a. $\qquad$ Answer: b. $\qquad$ 46 Forces

Studdy Solution

STEP 1

What is this asking? How hard does Skye need to push to make her dog slide at a constant speed? Watch out! Constant speed means zero acceleration, so the net force must be zero!

STEP 2

1. Calculate the dog's weight.
2. Calculate the normal force.
3. Calculate the friction force.
4. Determine the pushing force.

STEP 3

We know the dog's mass is 70.0 kg.
To find its weight, we multiply by the acceleration due to gravity, which is approximately 9.8 m/s².
Weight is the force gravity exerts on an object!

STEP 4

$\text{Weight} = \text{mass} \cdot \text{gravity} = 70.0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 = 686 \, \text{N}$ So, the dog's weight is 686 N.
This is important because it helps us figure out the normal force.

STEP 5

Since the dog is on a flat surface, the normal force is equal in magnitude and opposite in direction to the dog's weight.
The normal force is the force the floor exerts upwards on the dog.

STEP 6

$\text{Normal Force} = 686 \, \text{N}$

STEP 7

We're given the coefficient of sliding friction, which is 0.50.
The friction force is the product of the coefficient of friction and the normal force.

STEP 8

$\text{Friction Force} = \text{Coefficient of Friction} \cdot \text{Normal Force} = 0.50 \cdot 686 \, \text{N} = 343 \, \text{N}$ This means the friction force resisting Skye's push is 343 N.

STEP 9

Since the dog is moving at a constant speed, the net force must be zero!
This means Skye's pushing force must exactly balance the friction force.

STEP 10

$\text{Pushing Force} = \text{Friction Force} = 343 \, \text{N}$

STEP 11

Skye must push with a force of 343 N to move the dog at a constant speed.

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Studdy Solution

STEP 1

What is this asking? How hard does Skye need to push to make her dog slide at a constant speed? Watch out! Constant speed means zero acceleration, so the net force must be zero!

STEP 2

1. Calculate the dog's weight.
2. Calculate the normal force.
3. Calculate the friction force.
4. Determine the pushing force.

STEP 3

We know the dog's mass is 70.0 kg.
To find its weight, we multiply by the acceleration due to gravity, which is approximately 9.8 m/s².
Weight is the force gravity exerts on an object!

STEP 4

$\text{Weight} = \text{mass} \cdot \text{gravity} = 70.0 \, \text{kg} \cdot 9.8 \, \text{m/s}^2 = 686 \, \text{N}$ So, the dog's weight is 686 N.
This is important because it helps us figure out the normal force.

STEP 5

Since the dog is on a flat surface, the normal force is equal in magnitude and opposite in direction to the dog's weight.
The normal force is the force the floor exerts upwards on the dog.

STEP 6

$\text{Normal Force} = 686 \, \text{N}$

STEP 7

We're given the coefficient of sliding friction, which is 0.50.
The friction force is the product of the coefficient of friction and the normal force.

STEP 8

$\text{Friction Force} = \text{Coefficient of Friction} \cdot \text{Normal Force} = 0.50 \cdot 686 \, \text{N} = 343 \, \text{N}$ This means the friction force resisting Skye's push is 343 N.

STEP 9

Since the dog is moving at a constant speed, the net force must be zero!
This means Skye's pushing force must exactly balance the friction force.

STEP 10

$\text{Pushing Force} = \text{Friction Force} = 343 \, \text{N}$

STEP 11

Skye must push with a force of 343 N to move the dog at a constant speed.

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Studdy Solution

STEP 1

What is this asking? How hard does Skye need to push to make her dog slide at a constant speed? Watch out! Constant speed means *zero* acceleration, so the net force must be zero!

STEP 2

1. Calculate the dog's weight.2. Calculate the normal force.3. Calculate the friction force.4. Determine the pushing force.

STEP 3

We know the dog's mass is **70.0 kg**.To find its weight, we **multiply** by the acceleration due to gravity, which is approximately **9.8 m/s²**.Weight is the force gravity exerts on an object!

STEP 4

STEP 5

Since the dog is on a flat surface, the normal force is equal in magnitude and opposite in direction to the dog's weight.The normal force is the force the floor exerts *upwards* on the dog.

STEP 6

Normal Force=686 N \text{Normal Force} = 686 \, \text{N} Normal Force=686N

STEP 7

We're given the coefficient of sliding friction, which is **0.50**.The friction force is the product of the coefficient of friction and the normal force.

STEP 8

STEP 9

Since the dog is moving at a *constant speed*, the net force must be zero!This means Skye's pushing force must exactly balance the friction force.

STEP 10

Pushing Force=Friction Force=343 N \text{Pushing Force} = \text{Friction Force} = 343 \, \text{N} Pushing Force=Friction Force=343N

STEP 11

Skye must push with a force of **343 N** to move the dog at a constant speed.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? How hard does Skye need to push to make her dog slide at a constant speed? Watch out! Constant speed means zero acceleration, so the net force must be zero!

1. Calculate the dog's weight.
2. Calculate the normal force.
3. Calculate the friction force.
4. Determine the pushing force.

We know the dog's mass is 70.0 kg.
To find its weight, we multiply by the acceleration due to gravity, which is approximately 9.8 m/s².
Weight is the force gravity exerts on an object!

Since the dog is on a flat surface, the normal force is equal in magnitude and opposite in direction to the dog's weight.
The normal force is the force the floor exerts upwards on the dog.

$\text{Normal Force} = 686 \, \text{N}$

We're given the coefficient of sliding friction, which is 0.50.
The friction force is the product of the coefficient of friction and the normal force.

Since the dog is moving at a constant speed, the net force must be zero!
This means Skye's pushing force must exactly balance the friction force.

$\text{Pushing Force} = \text{Friction Force} = 343 \, \text{N}$

Skye must push with a force of 343 N to move the dog at a constant speed.